# kshiteesh86

GMATGuruNY posted a reply to Of the 25 cars sold at a car dealership, some had auto trans in the Data Sufficiency forum
“The following cases satisfy both statements: Case 1: 2 cars have neither 1 car has both antilock breaks and automatic transmission 22 cars have only automatic transmission. Case 2: 2 cars have neither 22 cars have both antilock breaks and automatic transmission 1 car has only automatic ...”
Today
GMATGuruNY posted a reply to A box contains 3 red balls, 4 green balls, 5 yellow balls, 6 in the Problem Solving forum
“Determine the WORST-CASE-SCENARIO -- for each color of ball, the MAXIMUM number that can be removed WITHOUT removing 5 of the same color: 3 red 4 green 4 yellow 4 blue 4 white Sum = 3+4+4+4+4 = 19 Implication: It is possible to remove 19 balls without selecting 5 of the same color. ...”
Today
GMATGuruNY posted a reply to To fill an order, a manufacturer had to produce 1000 tools in the Data Sufficiency forum
“Prompt: Total production = 1000n Statement 1: Total production for the first 5 days = 5*600 = 3000 Statement 2: Total production for the last 4 days = 4*1500 = 6000 Case 1: n=9, with no days between the first 5 days and the last 4 days Total production = 1000n = 1000*9 = 9000 Total ...”
Yesterday
GMATGuruNY posted a reply to What is the sum of all values of that satisfy the equation 4 in the Problem Solving forum
“For any quadratic in the form x² + bx + c = 0: Product of the roots = c Sum of the roots = -b Given equation: 4x² + 16 = 32x 4x² - 32x + 16 = 0 x² - 8x + 4 = 0 In the resulting quadratic, b=-8. Thus: Sum of the roots = -(-8) = 8. The correct answer is E.”
Yesterday
GMATGuruNY posted a reply to Set P {a, b, c, d, e, f, g} Set Q {a, b, c, d, e, f} in the Problem Solving forum
“One approach: Show that four of the five answers do NOT have to be true. P--> a=1, b=2, c=3, d=5, e=6, f=7, g=4 Range = 7-1 = 6, median = 4, mean = (1+2+3+5+6+7+4)/7 = 28/7 Q --> a=1, b=2, c=3, d=5, e=6, f=7 Range = 7-1 = 6, median = (3+5)/2 = 4, mean = (1+2+3+5+6+7)/6 = 24/6 = 4 ...”
Yesterday
GMATGuruNY posted a reply to If n is a positive integer and r is the remainder when in the Data Sufficiency forum
“What is the remainder when (n+1)(n-1) is divided by 8? Statement 1: Since n is odd, both n-1 and n+1 are EVEN, implying that (n-1)(n+1) = the product of two consecutive even integers. Given any two consecutive even integers, one will be a multiple of 4, while the other will be an even ...”
March 16, 2019
GMATGuruNY posted a reply to The sum of the weekly salaries of 5 employees is $3,250. If in the Problem Solving forum “Since each salary increases by 10%, the sum increases by 10%. 10% of 3250 = 325. Average increase per employee = (total increase)/(number of employees) = 325/5 = 65. The correct answer is E.” March 16, 2019 Rich.C@EMPOWERgmat.com posted a reply to A certain hotel has 1,400 single rooms and 420 double rooms. in the Problem Solving forum “Hi camitava, This is essentially a rate question. Here''s how to solve it: Single rooms take one person 15 minutes to clean and double rooms take one person 20 minutes to clean. 15 mins. = 1/4 hour 20 mins. = 1/3 hour With 1400 single rooms x 1/4 hour = 350 hours of total work for ...” March 15, 2019 Rich.C@EMPOWERgmat.com posted a reply to A cosmetics company would like to market a six-item gift in the Problem Solving forum “Hi All, We''re told that a cosmetics company would like to market a 6-item gift basket bundle from a set of 10 possible items, but 49 of the potential bundles have already been eliminated from consideration. We''re asked for the total number of potential bundles that are still being considered. ...” March 15, 2019 Rich.C@EMPOWERgmat.com posted a reply to What is the sum of the integers from 1 to 999, inclusive? A in the Problem Solving forum “Hi All, We''re asked for the sum of the integers from 1 to 999, inclusive. This question can be approached in a number of different ways, including by "bunching" The sum of 1 and 999 is 1,000 The sum of 2 and 998 is 1,000 The sum of 3 and 997 is 1,000 Etc. Using the numbers ...” March 15, 2019 Rich.C@EMPOWERgmat.com posted a reply to A basketball team’s current roster consists of g guards an in the Problem Solving forum “Hi All, We''re told that a basketball team’s current roster consists of G guards and F forwards - and 2 guards join and 1 forward leaves. We''re asked for the probability that a player chosen at random is a guard. This question can be approached in a couple of different ways, including by ...” March 15, 2019 GMATGuruNY posted a reply to A rectangle has sides x and y and diagonal z. What is the pe in the Data Sufficiency forum “Always look for special triangles such as 3-4-5 and 5-12-13. Statement 2: Case 1: https://i.postimg.cc/V0JX8Hqv/rectangle-with-x-y-and-z-1.png Case 2: https://i.postimg.cc/DWCWwPyX/rectangle-with-x-y-and-z-2.png Since each case will yield a different perimeter, INSUFFICIENT. Statement ...” March 15, 2019 GMATGuruNY posted a reply to combinations in the Problem Solving forum “The portion in red is incorrect: it should be not 4C1 but 2C1. If we select two upper case letters from two sets of twins, we must then select one lower case letter from the OTHER TWO SETS OF TWINS, yielding only two options for the lower case letter. For example: If we select A and B for the two ...” March 15, 2019 Rich.C@EMPOWERgmat.com posted a reply to After multiplying a positive integer A, which has n digits, in the Problem Solving forum “Hi Gmat_mission, We''re told that after multiplying a positive integer A (which has N digits) by (N+2), we get a number with (N+1) digits, all of whose DIGITS are (N+1). We''re asked for the number of possible values of A that ''fit'' this description. To start, this question certainly ...” March 15, 2019 Rich.C@EMPOWERgmat.com posted a reply to At a certain supplier, a machine of type A costs$20,000 and in the Problem Solving forum
“Hi All, This question is really just about basic arithmetic and staying organized. Based on the information in the prompt, there are two ''total costs'' that we have to calculate... Total cost of purchasing 2 Type A machines = Base Price = (2)($20,000) =$40,000 The 20% down payment = ...”
March 15, 2019
Rich.C@EMPOWERgmat.com posted a reply to In an office of eleven people, everyone but Lauren each in the Problem Solving forum
“Hi All, We''re told that in an office of 11 people, everyone but Lauren each contributed D dollars to buy her a surprise gift for her birthday, but the gift cost a total of G dollars, which was an amount that was less than the total collected. We''re asked - if each member who donated is to ...”
March 15, 2019
GMATGuruNY posted a reply to If N is a positive two-digit integer, is N+1 prime? in the Data Sufficiency forum
“Good catch. In my solution, the lone exception (N=29) is now noted.”
March 14, 2019
GMATGuruNY posted a reply to If N is a positive two-digit integer, is N+1 prime? in the Data Sufficiency forum
“Statement 1: Any integer whose digits sum to a multiple of 3 must itself be a multiple of 3. Since N has a digit sum of 11, N+1 must have a digit sum of 12. One exception: If N=29, then N+1 = 30, which has a digit sum of 3. Since the digit sum of N+1 must be a multiple of 3 -- either 12 or 3 -- ...”
March 14, 2019
GMATGuruNY posted a reply to If √x+√y=7 and √x-√y=5, what is the value of xy? in the Problem Solving forum
“Adding the two equations, we get: 2√x = 12 √x = 6 x = 36 Substituting √x = 6 into √x+√y=7, we get: 6 + √y = 7 √y = 1 y = 1 Thus: xy = 36*1 = 36 The correct answer is C.”
March 14, 2019
GMATGuruNY posted a reply to If f(x)=ax^2+bx+c, where a, b and c are integers, is b=0? in the Data Sufficiency forum
“Statement 1: Since (49, 0) and (-49, 0) are both solutions, the quadratic must be as follows: f(x) = (x-49)(x+49) = x² - 49² In the resulting quadratic, b=0. Thus, the answer to the question stem is YES. SUFFICIENT. Statement 2: If x-49 is a factor of the equation, then f(49) = 0. Case ...”
March 14, 2019
GMATGuruNY posted a reply to Ashley and Vinnie work on a sales staff with 8 other in the Problem Solving forum
“From the 10 people, 5 will be selected. Thus, P(Ashley is selected) = 5/10. From the 9 remaining people, 4 will be selected. Thus, P(Vinnie is selected) = 4/9. To combine these probabilities, we multiply: 5/10 * 4/9 = 2/9. The correct answer is C. Similar problem: ...”
March 14, 2019
GMATGuruNY posted a reply to A cosmetics company would like to market a six-item gift in the Problem Solving forum
“From 10 items, the number of ways to choose a bundle of 6 = 10C6 = (10*9*8*7*6*5)/(6*5*4*3*2*1) = 210. Subtracting the 49 bundles already eliminated from consideration, we get: 210-49 = 161. The correct answer is B.”
March 13, 2019
GMATGuruNY posted a reply to Set M is composed of the positive even integers up to 100. in the Problem Solving forum
“For any EVENLY SPACED SET: Count = (biggest - smallest)/(increment) + 1. Average = (biggest + smallest)/2. Sum = (count)(average). The INCREMENT is the difference between successive values. Even integers between 2 and 100, inclusive: Here, the integers are EVEN, so the increment = 2. Count ...”
March 13, 2019
GMATGuruNY posted a reply to A set of 51 different integers has a median of 30 and a in the Problem Solving forum
“Range = biggest - smallest Smallest = biggest - range Since the range = 60, we get: Smallest = biggest - 60 To minimize the smallest integer, we must minimize the biggest integer. Since the median of the 51 distinct integers = 30, there must be 25 integers above 30, with the other 25 ...”
March 13, 2019
GMATGuruNY posted a reply to What is the sum of the integers from 1 to 999, inclusive? A in the Problem Solving forum
“For any set of consecutive integers: Count = biggest - smallest + 1. Average = (biggest + smallest)/2. Sum = (count)(average). In the set above: Count = 999 - 1 + 1 = 999. Average = (999 + 1)/2 = 500. Sum = (999)(500) = (1000-1)(500) = 500000-500 = 499500. The correct answer is B.”
March 13, 2019
GMATGuruNY posted a reply to Peter and Tom shared the driving on a certain trip. If Peter in the Problem Solving forum
“Let the time for each driver = 1 hour. Let the total distance = 5 miles, implying that Peter''s distance = (2/5)(5) = 2 miles and that Tom''s distance = 5-2 = 3 miles. Since Peter drives 2 miles in 1 hour, Peter''s rate = 2 mph. Since Tom drives 3 miles in 1 hour, Tom''s rate = 3 mph. Thus: ...”
March 13, 2019
Rich.C@EMPOWERgmat.com posted a reply to A student worked 20 days. For each of the amount shown in th in the Problem Solving forum
“Hi All, We''re told that a student worked 20 days - and the given table shows the number of days that the student earned each of 5 possible amounts of money. We''re asked for the MEDIAN amount of money earned per day for those 20 days. Since there are 20 total days, the MEDIAN will be the ...”
March 12, 2019
Rich.C@EMPOWERgmat.com posted a reply to In a group of 24 musicians, some are pianists and the rest a in the Problem Solving forum
“Hi All, We''re told that in a group of 24 musicians, some are pianists and the rest are violinists and exactly 1/2 of the pianists and exactly 2/3 of the violinists belong to a union. We''re asked for the LEAST possible number of union members in the group. This question can be approached in a ...”
March 12, 2019
GMATGuruNY posted a reply to Which of the following could be the number of diagonals of a in the Problem Solving forum
“To form a diagonal, we must choose 2 vertices. But any pair of vertices that forms a side of the polygon cannot serve to form a diagonal. Thus: Number of diagonals = (number of ways to choose 2 vertices) - (number of sides of the polygon) When the prompt includes the phrase which of the ...”
March 12, 2019
GMATGuruNY posted a reply to Alice, Bob, Cindy, Darren, Eddie, Fabian sit on six chairs a in the Problem Solving forum
“To count circular arrangements: 1. Place someone in the circle 2. Count the number of ways to arrange the REMAINING people Once Alice has been placed in the circle: Number of options for Bob = 1. (Must be in the seat opposite Alice) Number of options for Cindy = 4. (Any of the 4 remaining ...”
March 12, 2019
GMATGuruNY posted a reply to If x and y are positive integers, x/y=? in the Data Sufficiency forum
“Statement 1: Case 1: x=2 and y=1, with the result that 2^(x+y) * 3^(xy) = 2³3² = 72 In this case, x/y = 2/1 = 2. Case 2: x=1 and y=2, with the result that 2^(x+y) * 3^(xy) = 2³3² = 72 In this case, x/y = 1/2 = 1/2. Since x/y can be different values, INSUFFICIENT. Statement 2: Here, x=2 ...”
March 12, 2019
GMATGuruNY posted a reply to Roman City in the Critical Reasoning forum
“E: mosaic designs with which artisans who lived in various parts of the Roman Empire were familiar. Here, the two blue portions constitute an adjective serving to modify designs. Question: What KIND of designs? Answer: Designs WITH WHICH ARTISANS WERE FAMILIAR. Put another way: Artisans were ...”
March 11, 2019
Rich.C@EMPOWERgmat.com posted a reply to If a certain reel of film runs at 5/6 of a frame per second, in the Problem Solving forum
“Hi All, We''re told that a certain reel of film runs at 5/6 of a frame per second. We''re asked how long it will take to run 2580 frames of the film. While this question involves some ''ugly'' numbers, the answer choices are sufficiently ''spread out'' that you can use estimation to get the ...”
March 11, 2019
Rich.C@EMPOWERgmat.com posted a reply to Five friends play blackjack in Las Vegas and lose an average in the Problem Solving forum
“Hi All, We''re told that 5 friends play blackjack in Las Vegas and lose an AVERAGE of $100 each - with the losses of two of the friends totaling$380. We''re asked for the AVERAGE loss of the other 3 friends. This question is a standard Average Formula question and requires just a bit or ...”
March 11, 2019
GMATGuruNY posted a reply to Carmen currently works 30 hours per week at her part-time jo in the Data Sufficiency forum
“Rate and time have a RECIPROCAL relationship. If the hourly rate DOUBLES, then the same income will be yielded in 1/2 the total time. Statement 1: Actual hourly rate = 225/30 = $7.50, implying that an additional$1.50 per hour will increase the hourly rate to $9. (increased hourly ...” March 11, 2019 Rich.C@EMPOWERgmat.com posted a reply to The R students in a class agree to contribute equally to buy in the Problem Solving forum “Hi All, While this question is wordy, and will require some note-taking, it can be solved by TESTing VALUES. Let''s TEST... R = 5 students Y = 50 dollars X = 3 fail to pay So the ''story'' is that 5 students agree to pay an equal amount for a$50 present (that''s 10 per student). We''re ...” March 11, 2019 Rich.C@EMPOWERgmat.com posted a reply to A city council will select 2 of 9 available firefighters and in the Problem Solving forum “Hi All, We''re told that a city council will select 2 of 9 available firefighters and 1 of 6 available police officers to serve on an advisory panel. We''re asked for the number of different groups of 3 people that could serve on the panel. This question is essentially a Combination Formula ...” March 11, 2019 Rich.C@EMPOWERgmat.com posted a reply to Ramon wants to cut a rectangular board into identical square in the Problem Solving forum “Hi All, We''re asked to find the minimum number of identical SQUARES that be cut from an 18 in. x 30 in. board without ''wasting'' any of the space. To accomplish this, we need to find a square whose dimensions will evenly divide into both 18 and 30; to find the LEAST number of squares, we''ll ...” March 11, 2019 GMATGuruNY posted a reply to schistosomiasis and malaria. in the Critical Reasoning forum “M --> more than 50% of all disease cases over the past 5 years S --> 40% of all disease cases 5 years ago, 30% of all disease cases now For each answer choice: Try to devise a case that aligns with the information in the passage but CONTRADICTS the answer choice, thus proving that the ...” March 9, 2019 GMATGuruNY posted a reply to Verbal Review 18 : Kudzu, an Asian vine in the Sentence Correction forum “Generally, COMMA + SINCE after a clause serves to express a CAUSAL relationship. An OA in GMATPrep: Prospecting for gold was a relatively easy task, since erosion put gold literally within reach of anybody with a pan. Here, the clause in blue serves to express what CAUSED prospecting to be a ...” March 9, 2019 GMATGuruNY posted a reply to If p is a positive integer, is 2p + 1 prime? in the Data Sufficiency forum “Statements combined: Case 1: p=11 --> p is prime, but its units digits is not prime In this case, 2p+1 = 2*11 + 1 = 23. Since 23 is prime, the answer to the question stem is YES. Case 2: p=19 --> p is prime, but its units digit is not prime In this case, 2p+1 = 2*19 + 1 = 39. Since 39 ...” March 9, 2019 GMATGuruNY posted a reply to If a certain reel of film runs at 5/6 of a frame per second, in the Problem Solving forum “2580 frames * (1 second)/(5/6 frame per second) * (1 minute)/(60 seconds) = 2580/50 = a little over 50 minutes. The correct answer is B.” March 9, 2019 GMATGuruNY posted a reply to When positive integer x is divided by positive interger y, in the Problem Solving forum “When one positive integer is divided by another, we typically represent what is left over as a REMAINDER or as a DECIMAL. There is a relationship between the two representations: Remainder/Divisor = Decimal. When 5 is divided by 2: Remainder representation: 5/2 = 2 R1 Decimal ...” March 8, 2019 GMATGuruNY posted a reply to The R students in a class agree to contribute equally to buy in the Problem Solving forum “Let y=10 and R=10 students, with the result that the original share per student = ($10)/(10 students) =$1. Let x=9, implying that the number of students decreases by 9 to 1. New share per student = ($10)/(1 student) =$10. Increase in share per student = 10-1 = $9. The correct answer must ...” March 8, 2019 GMATGuruNY posted a reply to Is the average (arithmetic mean) of x, y, and z equal to the in the Data Sufficiency forum “Statement 1: In other words, y is HALFWAY BETWEEN x and z, implying that x, y and z are EVENLY SPACED. For any evenly spaced set, the average = the median. Thus, the answer to the question stem is YES. SUFFICIENT. Statement 2: x+z = 2y (x+z)/2 = y Implication: y is the average of x and z ...” March 7, 2019 GMATGuruNY posted a reply to What is the remainder when -12 is divided by -5? in the Problem Solving forum “This problem is not relevant to the GMAT. On the GMAT, problems involving remainders are constrained to POSITIVE INTEGERS. From the Math Review in the OG: If x and y are positive integers, there exist unique integers q and r, called the quotient and remainder, respectively, such that y = xq + r ...” March 7, 2019 GMATGuruNY posted a reply to A triangle of area 30 is formed by the line x/c + y/(c+7) - in the Problem Solving forum “Given that the area and the answer choices are all integers, the triangle is probably a Pythagorean Triple. The only Pythagorean Triple with an area of 30 is 5-12-13. In the given equation, test c=5, with the result that c+7 = 12: x/5 + y/12 - 1 = 0 If x=0, then y=12, implying a y-intercept ...” March 5, 2019 GMATGuruNY posted a reply to Joey works at a clothing store and receives an employee in the Problem Solving forum “Since the discount = 10% = 1/10, and the resulting discount price is an integer value, the regular price must be a dollar value that is a multiple of 10. The correct answer is E.” March 5, 2019 GMATGuruNY posted a reply to When 32 is divided by k, the remainder is k-3. What is the in the Data Sufficiency forum “Dividing 32 by k leaves a remainder of k-3. In other words, 32 is equal to k-3 more than a multiple of k: 32 = ak + (k-3), where a is a nonnegative integer and k is an integer such that k≥3. Simplifying 32 = ak + (k-3), we get: 35 = ak + k 35 = k(a+1) The resulting equation implies that ...” March 5, 2019 GMATGuruNY posted a reply to If x and y are positive integers and (x-y)^2+y^2=25, which o in the Problem Solving forum “Identify two perfect squares that sum to 25: 1, 4, 9, 16... The two values in blue sum to 25. If y=3 and x=7, then (x-y)² = (7-3)² = 16 and y² = 9, with the result that (x-y)² + y² = 25. The correct answer is B.” March 5, 2019 GMATGuruNY posted a reply to OG Before 1988, insurance companies in California in the Sentence Correction forum “Generally, COMMA + VERBing serves to modify the nearest preceding action and the agent of this action. Given this rule, I received a PM requesting that I justify the usage of COMMA + needing in the OA: Insurance companies in California were free to charge whatever rates the market would bear, ...” March 3, 2019 Rich.C@EMPOWERgmat.com posted a reply to Working continuously 24 hours a day, a factory bottles Soda in the Problem Solving forum “Hi All, We''re told that working continuously 24 hours a day, a factory bottles Soda Q at a rate of 500 liters per second and Soda V at a rate of 300 liters per second and that TWICE as many bottles of Soda V as of Soda Q are filled at the factory each day. We''re asked for the ratio of the ...” March 2, 2019 Rich.C@EMPOWERgmat.com posted a reply to Two hoses are pouring water into an empty pool. Hose 1 alone in the Problem Solving forum “Hi All, This question is a variation of a ''Work Formula'' question (it involves 2 ''entities'' working on the same task together), so we can use the Work Formula to solve it. Work = (A)(B)/(A+B) where A and B are the individual times that it takes the 2 entities to complete the task on their ...” March 2, 2019 Rich.C@EMPOWERgmat.com posted a reply to Range Problem.,... in the Problem Solving forum “Hi All, We''re told that Set X consists of PRIME numbers {3, 11, 7, K, 17, 19}, the integer Y represents the PRODUCT of all elements in Set X and 11Y is an EVEN number. We''re asked for the RANGE of Set X. This question is based on several Number Property rules - and doesn''t actually require ...” March 2, 2019 Rich.C@EMPOWERgmat.com posted a reply to In how many ways can the letters D, I, G, I, T be arranged in the Problem Solving forum “Hi All, We''re asked to find the number of ways that the letters D, I, G, I, T be arranged so that the two I''s are NOT next to each other. Since the two "I"s cannot be side-by-side, there are a limited number of ways to arrange the 5 letters. As such, with a little permutation math ...” March 2, 2019 GMATGuruNY posted a reply to In a certain school, there are 160 boys and 240 girls. If 15 in the Problem Solving forum “Left-handed boys = 15% of 160 = 24. Left-handed girls = 25% of 240 = 60. (total left-handed)/(total students) = (24+60)/(160+240) = 84/400 = 21/100 = 21%. The correct answer is C.” March 2, 2019 GMATGuruNY posted a reply to If $$2^{4x}=3,600$$, what is the value of $$(2^{(1-x)})^2$$? in the Problem Solving forum “$$(2^{(1-x)})^2$$ = $$2^{2-2x}$$ = $$2^2/2^{2x}$$ = $$4/2^{2x}$$ We need to know the value of $$2^{2x}$$: $$2^{4x}=3,600$$ $$(2^{2x})^2=3,600$$ $$2^{2x}= 60$$ Substituting $$2^{2x}= 60$$ into $$4/2^{2x}$$, we get: 4/60 = 1/15 The correct answer is B.” March 2, 2019 GMATGuruNY posted a reply to Car B starts at point X and moves clockwise around a circula in the Problem Solving forum “π ≈ 3. Car B is traveling for more than 10 hours, so answer choices D and E are too small, and A is unlikely. The correct answer is either B or C. Circumference of track = 20π ≈ 60 miles. In 10 hours, distance for B = 2*10 = 20 miles. 60-20 = 40 miles between A and B. A and B now ...” March 2, 2019 GMATGuruNY posted a reply to Which of following satisfies the inequality (2x-49)(x^2+6x+1 in the Problem Solving forum “The two factors must have DIFFERENT SIGNS. Each of the answer choices will yield a positive value for x² + 6x + 10. Thus, the correct answer must yield a negative value for 2x-49. Only A is viable: (2*24) - 49 = -1. The correct answer is A.” March 1, 2019 GMATGuruNY posted a reply to Andrew bought pizzas for his swim team. Pepperoni pizzas in the Problem Solving forum “Posted and answered about a week ago: https://www.beatthegmat.com/andrew-bought-pizzas-for-his-swim-team-pepperoni-pizzas-cos-t306615.html#827261” March 1, 2019 GMATGuruNY posted a reply to The three squares above share vertex A with AF = FE and AE = in the Problem Solving forum “Let AF=FE=1, with the result that AE=ED=2: https://i.postimg.cc/2qmj2KbL/probability-and-three-squares.png As the figure illustrates: shaded region = 1+1+1 = 3 ABCD = 4*4 = 16 shaded/ABCD = 3/16 The correct answer is D.” March 1, 2019 GMATGuruNY posted a reply to In a certain clothing store, the most expensive pair of in the Problem Solving forum “Option D indicates that 12 pairs of cheap socks can be bought, not 9. Unfortunately, 9 is not among the answer choices. The OA implies that each pair of cheap socks costs not$2 but $1.50. Because$1.50 is not an integer value, the brute-force approach is a bit tricky here.”
March 1, 2019
Rich.C@EMPOWERgmat.com posted a reply to The product of the digits of the four-digit number h is 36. in the Problem Solving forum
“Hi All, We''re told that the product of the digits of the four-digit number H is 36 and no two digits of H are identical. We''re asked for the number of different possible values of H. While this question might seem complex, most of the work is based on basic Arithmetic (and some Permutation ...”
March 1, 2019
Rich.C@EMPOWERgmat.com posted a reply to A motorcycle travels at a speed of x kilometers per p hours. in the Problem Solving forum
“Hi All, We''re told that a motorcycle travels at a speed of X KILOMETERS per P HOURS. We''re asked for the number of METERS it will travel in S SECONDS, in terms of S, P and X. (xps ≠ 0; 1 kilometer = 1000 meters). This question can be solved in a number of different ways, including by TESTing ...”
March 1, 2019
Rich.C@EMPOWERgmat.com posted a reply to All assets in Karina's investment portfolio are divided in the Problem Solving forum
“Hi All, We''re told that all assets in Karina''s investment portfolio are divided between an IRA, 401k, and two separate taxable accounts and that NO two accounts have the SAME amount of money and all four have at least SOME money in them. If each account has a whole-number percent of Karina''s ...”
March 1, 2019
Rich.C@EMPOWERgmat.com posted a reply to In a certain clothing store, the most expensive pair of in the Problem Solving forum
“Hi All, We''re told that in a certain clothing store, the MOST expensive pair of socks sells for one dollar LESS than TWICE the price of the CHEAPTEST pair of socks. A customer notices that for exactly $18, she can buy three fewer pairs of the most expensive socks than the cheapest socks. We''re ...” March 1, 2019 Rich.C@EMPOWERgmat.com posted a reply to Vivian drives to her sister’s house and back. She takes th in the Problem Solving forum “Hi All, We''re told that Vivian drives to her sister''s house and back. She takes the exact same route both ways; on the trip out she drives an average speed of 50 miles per hour and on the trip back she drives an average speed of 70 miles per hour. We''re asked for her approximate average speed ...” March 1, 2019 Rich.C@EMPOWERgmat.com posted a reply to Tips for improving GMAT from 500-700 in the GMAT Strategy forum “Hi Rahufalb, To start, the only practical way to properly measure your overall Test-taking skills during the course of your studies is to take a FULL-LENGTH CAT under realistic conditions (meaning that you should take a FULL CAT - with the Essay and IR sections, in a location that is NOT your ...” March 1, 2019 GMATGuruNY posted a reply to In a certain clothing store, the most expensive pair of in the Problem Solving forum “We can PLUG IN THE ANSWERS, which represent the number of cheap pairs that can be purchased for$18. When the correct answer is plugged in, the number of expensive pairs that can be purchased will be 3 less than the number of cheap pairs that can be purchased. B will yield an ugly price for each ...”
February 28, 2019
GMATGuruNY posted a reply to Working simultaneously and independently at an identical con in the Problem Solving forum
“Use the following equation: (machines)(time) / output = (machines)(time) / output In the equation above: Machines and time are INVERSELY PROPORTIONAL. As the number of machines increases, the amount of time required to produce the same output decreases. Machines and output are DIRECTLY ...”
February 28, 2019
GMATGuruNY posted a reply to The restorative power of sleep is graphically approximated b in the Problem Solving forum
“Multiplying the equation by -1, we get: y = x² - 16x - 36 y = (x-18)(x+2) The restorative power -- the value of y -- is equal to 0 when x=18 or x=-2. Since the time cannot be a negative value, only x = 18 hours is viable. The correct answer is E.”
February 28, 2019
GMATGuruNY posted a reply to In June 1989, what was the ratio of the number of sales tran in the Data Sufficiency forum
“What is (June X)/(June Y)? Statement 1: In June 1989, Salesperson X made 50 percent more sales transactions than Salesperson Y did in May 1989. (June X)/(May Y) = 150/100 = 3/2. INSUFFICIENT. Statement 2: In June 1989, Salesperson Y made 25 percent more sales transactions than in May ...”
February 28, 2019
GMATGuruNY posted a reply to How many whole numbers between 100 and 400, inclusive, conta in the Problem Solving forum
“(integers with the digit 2) = (all integers between 100 and 399, inclusive) - (integers without the digit 2) All integers between 100 and 399, inclusive: For any set of consecutive integers, count = biggest - smallest + 1. In this case: count = 399-100+1 = 300 Integers without the digit 2: ...”
February 27, 2019
GMATGuruNY posted a reply to A square playground has the same area as a rectangular in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent a side of the square. Since the dimension of the rectangular playground are INTEGER values, the correct answer is probably also an integer. When the correct answer is plugged in, the square and the rectangle will have the same area. D: 50, implying ...”
February 27, 2019
GMATGuruNY posted a reply to Two hoses are pouring water into an empty pool. Hose 1 alone in the Problem Solving forum
“Let the pool = 12 gallons. Since Hose 1 takes 6 hours to fill the 12-gallon pool, the rate for Hose 1 = w/t = 12/6 = 2 gallons per hour. Since Hose 2 takes 4 hours to fill the 12-gallon pool, the rate for Hose 2 = w/t = 12/4 = 3 gallons per hour. Since the combined rate for the two hoses = 2+3 = ...”
February 27, 2019
GMATGuruNY posted a reply to What is the value of a+b? in the Data Sufficiency forum
“Statements combined: Adding the two equations, we get: a² + b²+ 2ab - 2a - 2b = 63 (a+b)² - 2(a+b) = 63 (a+b)(a+b-2) = 63 Let x = a+b. Substituting x=a+b into (a+b)(a+b-2) = 63, we get: (x)(x-2) = 63 x² - 2x - 63 = 0 (x-9)(x+7) = 0 x=9 or x=-7 Since x=a+b, it is possible that ...”
February 26, 2019
GMATGuruNY posted a reply to On a Saturday night, each of the rooms at a certain motel in the Problem Solving forum
“If 10 rooms are rented for $40 instead of$60 -- a decrease of $20 per room -- the total decrease = 10*20 =$200. Since the value in blue constitutes a 25% reduction in the total rent, it must be equal to 1/4 of the total rent: 200 = (1/4)R 800 = R. The correct answer is B.”
February 26, 2019
Rich.C@EMPOWERgmat.com posted a reply to Materials for solving. in the GMAT Strategy forum
“Hi Zaidf1997, It sounds like you''re just beginning your studies. Have you done any studying so far or are you just beginning? If you are just starting out, then it would be a good idea to take a FULL-LENGTH practice CAT Test; you can take 2 for free at www.mba.com (and they come with some ...”
February 26, 2019
GMATGuruNY posted a reply to A manufacturer makes umbrellas at the cost of c dollars per in the Problem Solving forum
“How many umbrellas can it afford to sell at the below-cost rate of b dollars per umbrella and still make a 100% profit? If c=1 and r=2 -- implying that the cost per umbrella = $1 and that the retail price per umbrella =$2 -- then 100% profit will be yielded only if ALL of the umbrellas are sold at ...”
February 26, 2019
GMATGuruNY posted a reply to On rainy mornings, mo drinks exactly N cups of hot chocolate in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the number of rainy days. When the correct answer is plugged in, the total number of cups = 26. B: 3 rainy days, implying 4 non-rainy days Since 5 cups of tea are consumed are on each of the 4 non-rainy days, the total number of tea cups = 5*4 = 20. ...”
February 26, 2019
GMATGuruNY posted a reply to It takes Carlos 9 minutes to drive from home to work at an in the Problem Solving forum
“(new rate)/(old rate) = (6 miles per hour)/(22 miles per hour) = 6/22 = 3/11. Rate and time have a RECIPROCAL relationship. Since the new rate is 3/11 of the old rate, the new time must be 11/3 of the old time: (11/3)(9 minutes) = 33 minutes. The correct answer is B.”
February 26, 2019
GMATGuruNY posted a reply to A is the set of 6-digit positive integers whose first three in the Problem Solving forum
“The GMAT is unlikely to test divisibility by 7. An integer of the form XYZXYZ must be divisible by 7, but this issue seems irrelevant to the GMAT. For this reason, I''ve replaced answer choice A with the value in red: To determine whether an integer is divisible by 11: 1. From the left to ...”
February 26, 2019
GMATGuruNY posted a reply to What is the difference between the areas of the squares ABCD in the Data Sufficiency forum
“Statement 1: Case 1: DC=10 and EC=6, with the result that CDE = (1/2)(10)(6) = 30 In this case, ABCD-EFGC = 10² - 6² = 100 - 36 = 64. Case 2: DE=20 and EC=3, with the result that CDE = (1/2)(20)(3) = 30 In this case, ABCD-EFGC = 20² - 3² = 400 - 9 = 391. Since ABCD-EFGC can be different ...”
February 25, 2019
GMATGuruNY posted a reply to How many positive two-digit numbers are odd, not divisible b in the Problem Solving forum
“For any set of consecutive integers: count = biggest - smallest + 1 Thus: Number of two-digit integers between 10 and 99, inclusive = 99-10+1 = 90. Of these 90 consecutive integers, 1 of every 3 will be a multiple of 3, implying that 2/3 will NOT be divisible by 3: (2/3)(90) = 60. Of these ...”
February 25, 2019
GMATGuruNY posted a reply to 2016 OG CR 30 in the Critical Reasoning forum
“Why do people who do regular volunteer work live longer? The argument concludes that ENDORPHINS are the cause. One way to weaken this conclusion is to suggest an ALTERNATE CAUSE. D: People tend not to become involved in regular volunteer work unless they are healthy and energetic to begin with. ...”
February 25, 2019
GMATGuruNY posted a reply to Vivian drives to her sister’s house and back. She takes th in the Problem Solving forum
“When the SAME DISTANCE is traveled at two different speed, the average speed for the entire trip will be just a little less than the average of the two speeds. The reason: The trip at the lower speed takes longer than the trip at the higher speed. Since more time is spent at the lower speed, the ...”
February 25, 2019
GMATGuruNY posted a reply to Before January, the price of a dress was D and the price of in the Problem Solving forum
“Let H=100 and D=500. D increased by 40% = 500 + (40/100)(500) = 500+200 = 700. H increased by 50% = 100 + (50/100)(100) = 100+50 = 150. New sum = 700+150 = 850. Amount paid = new sum discounted by 30% = 850 - (30/100)(850) = 850-255 = 595. The question stem asks for the amount paid. The ...”
February 25, 2019
GMATGuruNY posted a reply to All assets in Karina's investment portfolio are divided betw in the Problem Solving forum
“To MINIMIZE the percent for the largest balance, MAXIMIZE the percents for the 3 smallest balances. We can PLUG IN THE ANSWERS, which represent the percent in the largest balance. When the correct answer is plugged in, the 4 percents will sum to 100%. Since the question stem asks for the smallest ...”
February 25, 2019
Rich.C@EMPOWERgmat.com posted a reply to Ten theater students are to begin work on a set for a in the Problem Solving forum
“Hi All, We''re told that 10 theater students are to begin work on a set for a musical. Working at a constant rate, they will finish the set in 60 days, but the director of the musical decides they need to finish in 50 days. We''re asked for the number of ADDITIONAL theater students we would ...”
February 24, 2019
Rich.C@EMPOWERgmat.com posted a reply to A circular lawn with a radius of 5 meters is surrounded by a in the Problem Solving forum
“Hi All, We''re told that a circular lawn with a radius of 5 meters is surrounded by a circular walkway that is 4 meters wide. We''re asked for the area of the walkway. This is an example of a ''punch out'' question - we need to find the area of the ENTIRE shape and then ''punch out'' the part ...”
February 24, 2019
Rich.C@EMPOWERgmat.com posted a reply to Kim has 40 percent more money than Sal and Sal has 20 in the Problem Solving forum
“Hi All, We''re told that Kim has 40 percent MORE money than Sal, Sal has 20 percent LESS money than Phil and Sal and Phil have a combined total of $1.80. We''re asked for the amount of money that Kim has. This question can be approached in a couple of different ways, including some brute-force ...” February 24, 2019 GMATGuruNY posted a reply to In a certain class, the ratio of girls to boys is 5:4. How m in the Data Sufficiency forum “g:b = 5:4 = 10:8 = 15:12 = 20:16 = 25:20... Statement 1: In other words, 4 boys are equal to 20% of the current number of boys, implying the blue ratio above, since 20% of 20 boys = 4 boys. In the blue ratio above, the number of girls = 25. SUFFICIENT. Statement 2: Test the smaller red ...” February 24, 2019 GMATGuruNY posted a reply to The total of company C's assets in 1994 was 300% greater in the Problem Solving forum “Let N dollars in 1992 = 1. Since the assets in 1993 are 300% greater than the N dollars in 1992, the assets in 1993 = 1 + (300% of 1) = 1+3 = 4. Since the assets in 1994 are 400% greater than the assets in 1993, the assets in 1994 = 4 + (400% of 4) = 4 + 16 = 20. The question stem asks for ...” February 23, 2019 GMATGuruNY posted a reply to Andrew bought pizzas for his swim team. Pepperoni pizzas cos in the Problem Solving forum “13x + 17y = 184. Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104... Multiple of 17: 17, 34, 51, 68, 85, 102, 119.... The values in blue sum to 184. Since 65/13 = 5 and 119/17 = 7, the number of pizzas = 5+7 = 12. The correct answer is A.” February 23, 2019 GMATGuruNY posted a reply to Nathan took out a student loan for 1200$ at 10 percent in the Problem Solving forum
“Since the 10% rate is compounded annually, the amount of interest increases by 10% each year: First-year interest = 10% of 1200 = 120. Second-year interest = (first-year interest) + 10% = 120 + 12 = 132. Third-year interest = (second-year interest) + 10% = 132 + 13.2 = 145.2. Total interest = ...”
February 22, 2019
GMATGuruNY posted a reply to Ten theater students are to begin work on a set for a in the Problem Solving forum
“(50 days)/(60 days) = 5/6. To finish the job in 5/6 of the normal time, the crew requires 6/5 of the normal number of students -- an increase of 1/5: (1/5)(10) = 2 more students. The correct answer is A.”
February 22, 2019
GMATGuruNY posted a reply to In how many ways a cricket team consisting of 5 batsmen, 4 in the Problem Solving forum
“From 7 batsmen, the number of ways to choose 5 = 7C5 = (7*6*5*4*3)/(5*4*3*2*1) = 21. From 6 bowlers, the number of ways to choose 4 = 6C4 = (6*5*4*3)/(4*3*2*1) = 15. From 3 wicketkeepers, the number of ways to choose 1 = 3. From 3 allrounders, the number of ways to choose 1 = 3. To combine these ...”
February 22, 2019
GMATGuruNY posted a reply to How many different arrangements are possible to place seven in the Problem Solving forum
“Let the 3 math books = A, B, C and the remaining 4 books = D, E, F, G. Since the 3 math books must be next to one another, put them together in a block: E.”
February 22, 2019
GMATGuruNY posted a reply to If 1/x-1/y=1/z, what is the value of y, in terms of x and z? in the Problem Solving forum
“Let x=1 and y=3/2, with the result that 1/z = 1 - 2/3 = 1/3, so z=3. Since the question stem asks for the value of y, the correct answer must yield 3/2 when x=1 and z=3. Since B and D include x-z and thus will yield a negative result, eliminate B and D. Since E includes only multiplication and ...”
February 22, 2019
GMATGuruNY posted a reply to Is p^3 < p? in the Data Sufficiency forum
“Statements combined: Case 1: p=0, with the result that p is an integer less than 1 In this case, p³=p, so the answer to the question stem is NO. Case 2: p=-2, with the result that p is an integer less than 1 In this case, p³ < p, so the answer to the question stem is YES. Since the answer ...”
February 22, 2019
GMATGuruNY posted a reply to In the figure shown, AB = AC = 12. Which of the following is in the Problem Solving forum
“https://i.postimg.cc/06HLPxqC/circle-in-a-sector.png AOP passes through the center of the inscribed circle and thus must BISECT sector ACB. AB, AP and AC are all radii of sector ACB and thus are equal. The prompt indicates AB=AC=12. Thus: AP=12. As shown in the figure, AOM is a 30-60-90 ...”
February 22, 2019
GMATGuruNY posted a reply to The sum of two integers is 27. The larger integer is 25% in the Problem Solving forum
“25% greater = 1/4 greater. If the smaller integer = 4, then the larger integer = 4 + (1/4)4 = 5. The values in red imply that the two integers summing to 27 must be in a RATIO OF 4 TO 5: 4, 5 8, 10 12, 15 The case in blue sums to 27, with the result that larger-smaller = 15-12 = 3. The ...”
February 21, 2019
GMATGuruNY posted a reply to In the figure above, the angle marked at c has been created in the Data Sufficiency forum
“Since b and c form a straight line, b+c = 180. Thus, the calculate a+b+c, we need to know the value of a. Question stem, rephrased: What is the value of a? Statement 1: SUFFICIENT. Statement 2: No information about a. INSUFFICIENT. The correct answer is A.”
February 21, 2019
GMATGuruNY posted a reply to At a certain committee meeting only associate professors and in the Problem Solving forum
“Total number of items brought to the meeting = 21. (10 charts and 11 pencils) Number of items brought by each person = 3. (Either 2 pencils and 1 chart or 1 pencil and 2 charts) Thus: Number of people = (total number of items)/(number of items per person) = 21/3 = 7. The correct answer is B.”
February 21, 2019
GMATGuruNY posted a reply to Four cards are chosen from a standard deck: two aces (one of in the Problem Solving forum
“The following cases are possible: (-1)(1) = -1 (-1)(-2) = 2 (-1)(2) = -2 (1)(-2) = -2 (1)(2) = 2 (-2)(2) = -4 Of the 6 cases above, the 4 in blue each yield a product that is negative, odd or both: 4/6 = 2/3 ≈ 67%. The correct answer is D.”
February 20, 2019
Rich.C@EMPOWERgmat.com posted a reply to Which of the following points is the intersection between in the Problem Solving forum
“Hi All, We''re asked which of the following points is the intersection between the lines y = 3x + 6 and y = -2x - 4. This question can be solved in a number of different ways, including by TESTing THE ANSWERS. Since we''re dealing with two lines - and we now that the two lines intersect - ...”
February 19, 2019
Rich.C@EMPOWERgmat.com posted a reply to A certain taxi company charges $3.10 for the first 1/5 of in the Problem Solving forum “Hi All, We''re told that a certain taxi company charges$3.10 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. We''re asked for the total charge for a taxi ride that was 8 miles long? The prompt gives us the price per 1/5 of a mile for a taxi ride. It''s worth noting ...” February 19, 2019 Rich.C@EMPOWERgmat.com posted a reply to George bought a large electronic item with a 15% off coupon in the Problem Solving forum “Hi All, We''re told that George bought a large electronic item with a 15% off coupon and paid a total bill. When he got outside, he studied the receipt and realize that he mistakenly had been given DOUBLE the discount of the coupon, even though there was no double-coupon offer in effect that ...” February 19, 2019 GMATGuruNY posted a reply to A box contains 1 red ball, 3 green balls, 5 yellow balls, 7 in the Problem Solving forum “Determine the WORST-CASE-SCENARIO -- for each color of ball, the MAXIMUM number that can be removed WITHOUT removing 7 of the same color: 1 red 3 green 5 yellow 6 blue 6 white 6 black Sum = 1+3+5+6+6+6 = 27. Implication: It is possible to remove 27 balls without selecting 7 of the same ...” February 19, 2019 GMATGuruNY posted a reply to If M, N are integers greater than 1 such that 2M<N, which in the Problem Solving forum “54, 52 and 50 are options for TWICE the sum. Thus, I, II, and III imply the following options for the ACTUAL SUM: I: 27 II: 26 III: 25 Case 1: M=2 Since it is required that N>2M, N≥5 M=2 and N=5 --> sum = 2+3+4+5 = 14 M=2 and N=6 --> sum increases by 6 --> 14+6 = 20 M=2 and ...” February 19, 2019 GMATGuruNY posted a reply to If A and B are two fixed constants such that the system in the Problem Solving forum “The system will have an infinite number of solutions for (x, y) if the two equations are THE SAME: 2(x+y) - A = 0 --> 2x + 2y - A = 0 --> 6x + 6y - 3A = 0 3x + By - 6 = 0 -----------------------> 6x +2By - 12 = 0 The equations in blue will be the same if 3A=12 and 2B=6, with the result ...” February 18, 2019 GMATGuruNY posted a reply to Is m > n? in the Data Sufficiency forum “Both statements are satisfied if n=1 and m=2 or if n=1 and m=-2. Since m > n in the first case but m < n in the second case, the two statements combined are INSUFFICIENT. The correct answer is E.” February 18, 2019 GMATGuruNY posted a reply to If the original price of an item in a retail store is marked in the Data Sufficiency forum “Let the original price = 100. Then the markup = (m/100)*100 = m. The resulting price = 100+m. The subsequent discount = d/100*(100+m) = d + md/100 Thus, the total percent change = percent increase - percent decrease = m - d - md/100. For the final price to be greater than the original price, ...” February 17, 2019 GMATGuruNY posted a reply to In triangle ABC, point X is the midpoint of side AC and poin in the Data Sufficiency forum “http://s7.postimage.org/6u5drpql3/triangle_RCS_1.jpg Triangles RCS and ABC: Side RC = 1/4(AC). Side SC = 1/4(BC). The two triangles share angle BCA. Triangles with a shared angle (BCA) formed by corresponding sides in the same proportion (RC:AC = 1:4, SC:BC = 1:4) are SIMILAR. Thus, ...” February 17, 2019 GMATGuruNY posted a reply to A and B start from Opladen and Cologne respectively at the in the Problem Solving forum “When two elements travel at different speeds, their TIME RATIO to travel the same distance will always be the same. If A takes 1/2 as long as B to travel 10 miles, then A will take 1/2 as long as B to travel 1000 miles. If A takes 3 times as long as B to travel 500 miles, then A will take three ...” February 17, 2019 GMATGuruNY posted a reply to Flor is choosing three of five colors of paint to use for in the Problem Solving forum “Let the 5 colors be GYABC. From the 5 colors, the number of ways to choose 3 = 5C3 = (5*4*3)/(3*2*1) = 10. Of these 10 combinations, 3 are not allowed: GYA GYB GYC Subtracting these 3 bad combinations, we get: 10-3 = 7. The correct answer is A.” February 17, 2019 GMATGuruNY posted a reply to If a = 15! + 13, which of the following are factors of a? I in the Problem Solving forum “MULTIPLE OF X + MULTIPLE OF X = MULTIPLE OF X. MULTIPLE OF X + NON-MULTIPLE OF X = NON-MULTIPLE OF X. Since the prime-factorization of 15! includes 13, we get: a = 15! + 13 = multiple of 13 + multiple of 13 = multiple of 13. Since a is a multiple of 13, option I is a factor of a. Eliminate ...” February 16, 2019 GMATGuruNY posted a reply to If a coin has an equal probability of landing heads up or ta in the Problem Solving forum “P(H) = 1/2. P(T) = 1/2. One way to get exactly 1 heads in 3 flips: P(HTT) = 1/2 * 1/2 * 1/2 = 1/8. Since H can appear in a total of 3 positions -- 1st flip, 2nd flip, or 3rd flip -- we multiply by 3: 1/8 * 3 = 3/8 = 0.375. The correct answer is C.” February 16, 2019 GMATGuruNY posted a reply to A magician has five animals in his magic hat: 3 doves and 2 in the Problem Solving forum “AND means MULTIPLY. OR means ADD. Case 1: 2 doves P(1st animal is a dove) = 3/5. (Of the 5 animals, 3 are doves.) P(2nd animal is a dove) = 2/4. (Of the 4 remaining animals, 2 are doves.) Since in Case 1 we need the 1st animal to be a dove AND the 2nd animal to be a dove, we MULTIPLY the ...” February 16, 2019 Rich.C@EMPOWERgmat.com posted a reply to Working at their individual same constant rate, 24 machines in the Problem Solving forum “Hi All, We''re told that while working at their individual same constant rate, 24 machines can complete a certain production job in 10 hours when they all work together. However, on a certain day, due to minor malfunction, 8 of those machines were not operating for the first 2 hours. We''re ...” February 15, 2019 Rich.C@EMPOWERgmat.com posted a reply to If a positive integer q is divisible by both 3 and 11, then in the Problem Solving forum “Hi All, We''re told that Q is a positive integer that is divisible by BOTH 3 and 11. We''re asked which of the following MUST also divisible evenly into Q. This question can be approached in a couple of different ways, including by TESTing VALUES. With these types of prompts, it often helps ...” February 15, 2019 GMATGuruNY posted a reply to What is the value of (2^{2020} + 2^{2018}) / (2^{2020}-2^{20 in the Problem Solving forum “(2²⁰²⁰ + 2²⁰¹⁸)/(2²⁰²⁰ - 2²⁰¹⁸) = (2²⁰¹⁸)(2² + 1) / (2²⁰¹⁸)(2² - 1) = 5/3. The correct answer is B.” February 15, 2019 GMATGuruNY posted a reply to If Rebeca drives to work at x mph she will be one minute lat in the Data Sufficiency forum “In deference to your mother, the offensive second "c" has been removed from my solution.” February 15, 2019 GMATGuruNY posted a reply to A certain military vehicle can run on pure Fuel X, pure Fuel in the Data Sufficiency forum “Statement 1: X = 20 miles per gallon. Y = 40 miles per gallon. Since the mixture of X and Y in the tank allows 200 miles to be covered using 8 gallons, we get: X+Y = 200/8 = 25 miles per gallon. To determine how X and Y must be combined to yield a rate of 25 miles per gallon, use ALLIGATION. ...” February 15, 2019 GMATGuruNY posted a reply to If Rebeca drives to work at x mph she will be one minute lat in the Data Sufficiency forum “To make the math easier, we can replace the given values with rounder numbers, as follows: Since Rebeca arrives 1 hour late when traveling at the lower speed and 1 hour early when traveling at the higher speed, the time at the lower speed must be 2 hours greater than the time at the higher ...” February 15, 2019 GMATGuruNY posted a reply to Which of the following numbers is closest to 100*(11-sqrt( in the Problem Solving forum “100(11 - √119)(11 + √119) = 100(11² - √119²) = 100(121-119) = 100*2 = 200. When the correct answer is multiplied by 11+√119, the result must be as close as possible to 200. 11+√119 = 11 + (a bit less than 11) = a bit less than 22. Since 9*22 = 198, multiplying 9.2 by a bit less than ...” February 14, 2019 GMATGuruNY posted a reply to What is the value of a^3+b^3 ? in the Data Sufficiency forum “Statement 1: Case 1: a=0 and b=1, with the result that a+b = 0+1 = 1 In this case, a³+b³ = 0³ + 1³ = 1 Case 2: a=2 and b=-1, with the result that a+b = 2-1 = 1 In this case, a³+b³ = 2³ + (-1)³ = 7 Since a³+b³ can be different values, INSUFFICIENT. Statement 2: Case 3: a=1 and b=1, ...” February 14, 2019 GMATGuruNY posted a reply to A group of x people is practicing levitation yoga. One-fourt in the Problem Solving forum “Let x=12. Since 1/4 of the people rise up, the number who rise up = (1/4)(12) = 3. Since 3 people come back down, EVERYONE who rises up comes back down, with the result that all 12 people are practicing yoga on the ground. How many people are now practicing yoga on the ground? The correct ...” February 14, 2019 GMATGuruNY posted a reply to How many prime factors does the number X have? 1) X is divi in the Data Sufficiency forum “Statement combined: Case 1: X = 53*2 = 106, with the result that X is divisible by 1, 2, 53, and 106 In this case, X has TWO prime factors: 2 and 53 Case 2: X = 53³, with the result that X is divisible by 1, 53, 53², and 53³ In this case, X has only ONE prime factor: 53 Since the number of ...” February 13, 2019 GMATGuruNY posted a reply to A terminating decimal is a number with a finite number of in the Data Sufficiency forum “A fraction will yield a terminating decimal if -- when the fraction is fully reduced -- the prime-factorization of its denominator includes only 2''s and or 5''s. Statement 1: Let x = an odd multiple of 5. Since the next largest odd multiples of 5 will be x+10 and x+20, we get: p = x + (x+10) ...” February 12, 2019 GMATGuruNY posted a reply to If O is the center of the circle with diameter AB and T is a in the Problem Solving forum “A radius drawn to a tangent point yields a RIGHT ANGLE: https://i.postimg.cc/Wq6BDNH7/two-triangles-and-semicircle-1.png In the figure above: Radius OT forms a right angle at tangent point T. OA and OT are radii and thus are equal. Since OA=OT, opposite angles OAT and ATO are equal. We can ...” February 12, 2019 GMATGuruNY posted a reply to A positive 5-digit integer is called "friendly" if in the Problem Solving forum “Total number of friendly numbers = total number of ways to arrange the 5 digits = 5! = 120. There are 5 options for the first digit: 1, 2, 3, 4, or 5. 120/5 = 24. Thus, the 120 friendly numbers are composed of five 24-number ranges, as follows: The integers beginning with 1 constitute friendly ...” February 12, 2019 GMATGuruNY posted a reply to How many numbers between 1 and 200, inclusive, have a 2 in in the Problem Solving forum “An integer is divisible by 4 if its last two digits form a multiple of 4. Two-digit multiples of 4 with a units digit of 2: 12, 32, 52, 72, 92 Since the last two digits must be one of the options above, between 1 and 200 there are 10 integers that have a units digit of 2 and are divisible by 4: ...” February 12, 2019 GMATGuruNY posted a reply to If triangles ABC and CDE are each equilateral, what is the s in the Data Sufficiency forum “Statement 1: Case 1: AC = 10 and CE = 15, with the result that AE = 10+15 = 25 In this case, ABC + CDE = (10+10+10) + (15+15+15) = 75. Case 2: AC= 5 and CD = 20, with the result that AE = 5+20 = 25 In this case, ABC + CDE = (5+5+5) + (20+20+20) = 75. Since the sum of the perimeters is the same ...” February 12, 2019 GMATGuruNY posted a reply to If m is a positive odd integer, what is the average (arithme in the Data Sufficiency forum “For any EVENLY SPACED SET: average = median Statement 1: Here, the set consists of consecutive multiples of 3 and thus is evenly spaced. Case 1: 3, 6, 9 Average = median = 6. Case 2: 6, 9, 12 Average = median = 9. Since different averages are possible, INSUFFICIENT. Statement 2: Case ...” February 12, 2019 GMATGuruNY posted a reply to If there is a 20% chance of rain every day for the next 7 in the Problem Solving forum “Options D and E should appear as shown below: P(exactly n times) = P(one way) * all possible ways. Let R = rain and N = no rain. Since P(R) = 20% = 2/10, P(N) = 80% = 8/10 = 2³/10. P(one way): One way to get exactly 2 days of rain is to have rain on the first 2 days but not on the ...” February 12, 2019 Rich.C@EMPOWERgmat.com posted a reply to During the four years that Mrs. Lopez owned her car, she fou in the Problem Solving forum “Hi All, We''re told that during the 4 years that Mrs. Lopez owned her car, she found that her total car expenses were$18,000. Fuel and maintenance costs accounted for 1/3 of the total and depreciation accounted for 3/5 of the REMAINDER. The cost of insurance was 3 times the cost of financing, ...”
February 10, 2019
Rich.C@EMPOWERgmat.com posted a reply to At Megalomania Industries, factory workers were paid $20 per in the Problem Solving forum “Hi All, We''re told that at Megalomania Industries, factory workers were paid$20 per hour in 1990 and $10 per hour in 2000 and the CEO of Megalomania Industries was paid$5 million per year in 1990 and $50 million per year in 2000. We''re asked for what percent greater was the percent increase ...” February 10, 2019 Rich.C@EMPOWERgmat.com posted a reply to A company’s four cars running 10 hrs a day consume 1200 lt in the Problem Solving forum “Hi All, We''re told that a company’s 4 cars running 10 hrs a day consume 1200 liters of fuel in 10 days. In the next 6 days, the company will need to run 9 cars for 12 hrs each so it rents 5 more cars which consume 20% less fuel than the company’s four cars. We''re asked for the number of ...” February 10, 2019 GMATGuruNY posted a reply to Working together, Machine A and Machine B can produce a tota in the Data Sufficiency forum “Since A+B take 4 hours to produce 200 widgets, the combined rate for A+B = w/t = 200/4 = 50 widgets per hour. To determine A''s time to produce 200 widgets, we need to know A''s rate. Question stem, rephrased: What is A''s rate? Statement 1: Since B takes 5 hours to produce 50 widgets, ...” February 10, 2019 GMATGuruNY posted a reply to Triangle XYZ is an isosceles right triangle. If side XY is l in the Problem Solving forum “The sides of an isosceles right triangle are in the following ratio: x - x - x√2, where x and x constitute the base and height and x√2 is the hypotenuse. Since the triangle has a base of x, a height of x, and an area of 16, we get: (1/2)(x)(x) = 16 x² = 32 x = √32 Since XY is longer ...” February 9, 2019 GMATGuruNY posted a reply to Machines X and Y work at their respective constant rates. Ho in the Data Sufficiency forum “Statement 1: Time and rate are RECIPROCALS. Since X and Y together take 2/3 as long as X alone, X and Y together work 3/2 as fast as X alone. Thus, if X''s rate alone = 2 units per hour, then X and Y''s combined rate = (3/2)(2) = 3 units per hour, implying that Y''s rate alone = 3-2 = 1 unit ...” February 9, 2019 GMATGuruNY posted a reply to Seven children — A, B, C, D, E, F, and G — are going to in the Problem Solving forum “Since A and B must occupy adjacent positions, consider AB a single element in the arrangement. The number of ways to arrange the 6 elements AB, C, D, E, F and G = 6! = 720. In 1/2 of these arrangements, C will be to the LEFT of AB. In the remaining 1/2 of these arrangements,C will be to the ...” February 9, 2019 GMATGuruNY posted a reply to Is abc at least 4? in the Data Sufficiency forum “Nice problem, Fabio! Statement 1: Case 1: a=4, b=1 and c=1, with the result that b+c≥2 In this case, abc = 4, so the answer to the question stem is YES. Case 2: a=0, b=1 and c=1, with the result that b+c≥2 In this case, abc = 0, so the answer to the question stem is NO. Since the answer ...” February 8, 2019 Rich.C@EMPOWERgmat.com posted a reply to 530 to 700 in 3 months- possible? best strategy/study plan? in the GMAT Strategy forum “Hi mgec0424, To start, a 520 is a decent initial CAT Score (the average Score on the Official GMAT hovers around 550 most years). Scoring 530 on your second CAT isn''t necessary a ''bad'' thing either - since it takes time to properly use what you''ve learn and adapt your approach to the overall ...” February 8, 2019 GMATGuruNY posted a reply to What is the remainder when the positive integer n is divided in the Data Sufficiency forum “Statement 1: If n=5, then the remainder when n is divided by 6 = 5/6 = 0 R5. If n=10, then the remainder when n is divided by 6 = 10/6 = 1 R4. Since different remainders are possible, INSUFFICIENT. Statement 2: Since n is a multiple of 12, n must also be a multiple of 6, with the result that ...” February 8, 2019 GMATGuruNY posted a reply to An electrical supplies store sells 140 power stabilizer in the Problem Solving forum “Since at least$5600 in profit must be earned by 140 units, the minimum required markup per unit = 5600/140 = $40. Thus, the minimum selling price = (cost per unit) + (minimum required markup per unit) = 16+40 = 56. The correct answer is D.” February 8, 2019 GMATGuruNY posted a reply to In the xy coordinate plane, line L and line K intersect at in the Data Sufficiency forum “Statement 1: The product of the x-intercepts of line L and K is positive. K has a negative x-intercept, L has a negative x-intercept, the product of the slopes is positive: http://s4.postimage.org/ie5nbe78/lines_l_and_k_1.jpg K has a positive x-intercept, L has a positive x-intercept, the ...” February 8, 2019 GMATGuruNY posted a reply to If x and y are positive integers, is x an even integer? in the Data Sufficiency forum “Statements combined: Case 1: x=1 and y=1, with the result that x(y+5) = 6 and 6y²+41y+25 = 72 In this case, x is ODD, so the answer to the question stem is NO. Case 2: x=2 and y=1, with the result that x(y+5) = 12 and 6y²+41y+25 = 72 In this case, x is EVEN, so the answer to the question ...” February 7, 2019 GMATGuruNY posted a reply to What is the average (arithmetic mean) of x and y? in the Data Sufficiency forum “SUM = (COUNT)(AVERAGE). Statement 1: x+y+k = (count)(average) = 3*7 = 21. No way to determine the value of x+y. INSUFFICIENT. Statement 2: x+y+3k = (count)(average) = 3*13 = 39. No way to determine the value of x+y. INSUFFICIENT. Statements combined: Subtracting x+y+k=21 from ...” February 7, 2019 GMATGuruNY posted a reply to If a and b are integers, is a + b + 3 an odd integer? (1) in the Data Sufficiency forum “a+b+3 = ODD only if a and b are both odd or both even. Question stem, rephrased: Are a and b both odd or both even? Statement 1: ab = ODD implies that a and b are both odd. Thus, the answer to the question stem is YES. SUFFICIENT. Statement 2: a-b = EVEN implies that a and b are either ...” February 7, 2019 Rich.C@EMPOWERgmat.com posted a reply to Ten telegenic contestants with a variety of personality diso in the Problem Solving forum “Hi All, For Test Takers who know the Combination Formula, this question is a fairly straight-forward prompt. If you DON''T know the Combination Formula though, then here''s what it is and how to use it. Any time a prompt asks for "groups" or "combinations" of things, then the ...” February 7, 2019 Rich.C@EMPOWERgmat.com posted a reply to The sides of a right triangle are consecutive even integers, in the Problem Solving forum “Hi All, We''re told that the sides of a right triangle are CONSECUTIVE EVEN INTEGERS, and the length of the LONGEST side is P. We''re asked which of the following equations could be used to find P. This question can be solved in a couple of different ways, including by TESTing VALUES. To ...” February 7, 2019 Rich.C@EMPOWERgmat.com posted a reply to There are 13 hearts in a full deck of 52 cards. In a certain in the Problem Solving forum “Hi All, The probability of pulling a heart out of a full deck of cards is 13/52 = 1/4, so the probability of NOT pulling a heart out of a full deck = 1 - 1/4 = 3/4. The probability of pulling a heart on the THIRD try, and NOT pulling a heart on the first two tries is: (3/4)(3/4)(1/4) = ...” February 7, 2019 Rich.C@EMPOWERgmat.com posted a reply to Starting with 0, a mathematician labels every non-negative i in the Problem Solving forum “Hi All, We''re told that starting with 0, a mathematician labels every non-negative integer as one of five types: alpha, beta, gamma, delta, or epsilon, in that repeating order as the integers increase. For instance, the integer 8 is labeled delta. We''re asked for the label on an integer that ...” February 7, 2019 GMATGuruNY posted a reply to In the coordinate plane, Line A has a slope of -1 and an in the Problem Solving forum “Line A includes points (1, 0) and (a, b) and has a slope of -1. Thus: (b - 0)/(a-1) = -1 b = -a + 1 a+b = 1. The correct answer is B. The information about Line B is irrelevant.” February 5, 2019 GMATGuruNY posted a reply to In how many ways can a 4-letter word be formed from the in the Problem Solving forum “Alternate approach: Case 1: VVCC, where the first two letters are vowels and the last 2 letters are consonants Number of options for the first vowel = 4. (Any of the 4 vowels) Number of options for the second vowel = 3. (Any of the 3 remaining vowels) Number of options for the first consonant ...” February 5, 2019 Rich.C@EMPOWERgmat.com posted a reply to Three digits have been removed from each of the following in the Problem Solving forum “Hi All, We''re told that three digits have been removed from each of the following numbers and n = 25. We''re asked which of the numbers is equal to 3*2^(n-1). To start, the fact that three digits have been removed from each answer is irrelevant. When a GMAT question presents information ...” February 5, 2019 Rich.C@EMPOWERgmat.com posted a reply to The organizers of a conference offered a certain number of s in the Problem Solving forum “Hi All, We''re told that the organizers of a conference offered a certain number of simultaneous seminars with the intention that each seminar would be attended by 18 conference attendees. However, space limitations allowed only up to 15 conference attendees to participate in each of a number of ...” February 5, 2019 Rich.C@EMPOWERgmat.com posted a reply to At a school-wide athletic fair, five students won a combined in the Problem Solving forum “Hi All, We''re told that at a school-wide athletic fair, five students won a combined total of 20 ribbons, each of the five students won AT LEAST one ribbon and NO two students won the SAME number of ribbons. We''re asked for the greatest number of ribbons that the student with the ...” February 5, 2019 Rich.C@EMPOWERgmat.com posted a reply to In how many ways can a 4-letter word be formed from the in the Problem Solving forum “Hi regor60, I agree that this prompt is poorly-worded. The "intent" is to ask for every 4-letter arrangement that fits the given restrictions, INCLUDING "words" that do not appear in the dictionary (re: arrangements that are not actually words). GMAT question-writers are far ...” February 5, 2019 Rich.C@EMPOWERgmat.com posted a reply to In the coordinate plane, Line A has a slope of -1 and an in the Problem Solving forum “Hi All, We''re told that in the coordinate plane, Line A has a slope of -1 and an x-intercept of 1 and Line B has a slope of 2 and a y-intercept of -2. The two lines intersect at the point (a,b). We''re asked for the sum a and b. When dealing with lines, it often helps to write the given ...” February 5, 2019 GMATGuruNY posted a reply to A contractor combined x tons of a gravel mixture that in the Data Sufficiency forum “x = 10% gravel y = 2% gravel. z = the MIXTURE of x and y = 5% gravel. To determine the required ratio of x to y, use ALLIGATION -- a very efficient way to handle MIXTURE PROBLEMS. Step 1: Plot the 3 percentages on a number line, with the percentages for x and y on the ends and the ...” February 4, 2019 Rich.C@EMPOWERgmat.com posted a reply to Work/Rate problem in the Problem Solving forum “Hi benjemin28, It''s worth noting that he Quant section of the GMAT is NOT a ''math test'' - it''s a ''critical thinking test'' that requires lots of little calculations as you work through it. Most GMAT questions are designed so that they can be solved in more than one way (and certain Tactics ...” February 4, 2019 Rich.C@EMPOWERgmat.com posted a reply to In a certain sock drawer, there are 4 pairs of black socks, in the Problem Solving forum “Hi All, The concept in these types of questions is based on the ''worst case scenario'' - to guarantee that something will happen, you have to focus on the ''extreme/longest'' way that it could happen. Here, we have 4 black socks, 3 gray socks and 2 orange socks. The question asks for the ...” February 4, 2019 Rich.C@EMPOWERgmat.com posted a reply to The original price of a certain TV set is discounted by x in the Problem Solving forum “Hi All, We''re told that the original price of a certain TV set is discounted by X percent, the reduced price is then discounted by 2X percent and P is the original price of the TV set. We''re asked which of the following represents the price of the television set after the two successive ...” February 4, 2019 GMATGuruNY posted a reply to Bank Depositors (GMAT Prep) in the Critical Reasoning forum “I received a PM requesting that I respond. Premise: Insurance removes from depositors any financial incentive to find out whether the bank that holds their money is secure against failure. Conclusion: The insurance is partly responsible for the high rate of bank failures. To determine the ...” February 3, 2019 GMATGuruNY posted a reply to In the graduating class of a certain college, 48 percent of in the Problem Solving forum “Every student is EITHER male OR female. Every student is EITER older OR younger. For an EITHER/OR problem, use a DOUBLE MATRIX to organize the data: _______________M______F_______Total older: younger: total: Let total students = 100: _______________M______F_______Total ...” February 3, 2019 GMATGuruNY posted a reply to Kate and Danny each have$10. Together, they flip a fair coi in the Problem Solving forum
“For every tails, Kate gets $1; for every heads, she loses$1. 0 tails, 5 heads: Kate has 10+0-5 = $5 1 tails, 4 heads: Kate has 10+1-4 =$7 2 tails, 3 heads: Kate has 10+2-3 = $9 3 tails, 2 heads: Kate has 10+3-2 =$11 4 tails, 1 heads: Kate has 10+4-1 = $13 5 tails, 0 heads: Kate has ...” February 3, 2019 Rich.C@EMPOWERgmat.com posted a reply to The value of (10^8-10^2)/(10^7-10^3) is closest to which in the Problem Solving forum “Hi All, We''re asked to choose the answer that is CLOSEST in value to (10^8-10^2)/(10^7-10^3). While you might be tempted to try lots of ''math steps'', if you consider how the answer choices are written, you can use a bit of estimation and logic to get to the correct answer without doing too ...” February 2, 2019 Rich.C@EMPOWERgmat.com posted a reply to A company produces baseball cards in equal numbers of regula in the Problem Solving forum “Hi All, We''re told that a company produces baseball cards in EQUAL numbers of regular packs of 16 and deluxe packs of 30. On a certain day, the company produces 241 cards. We''re asked for the SMALLEST number of additional cards the company needs to produce in order to maintain its regular ...” February 2, 2019 Rich.C@EMPOWERgmat.com posted a reply to If the probability of rain on any given day is 50%, what is in the Problem Solving forum “Hi All, We''re told that the probability of rain on any given day is 50%. We''re asked for the probability that it will rain on AT LEAST three days in a ROW during a five-day period. This question can be approached in a number of different ways; you might find it easiest to do a little math and ...” February 2, 2019 Rich.C@EMPOWERgmat.com posted a reply to Father John forms a choir from the church attendants. in the Problem Solving forum “Hi All, We''re told that Father John forms a choir from the church attendants. 30 people attend John''s church and the choir has 28 spots available, with one person as the lead singer. We''re asked for the number of different combinations for the choir. This question involves the Combination ...” February 2, 2019 Rich.C@EMPOWERgmat.com posted a reply to A scriptwriter charges$4 for every standard script, which in the Problem Solving forum
“Hi All, We''re told that a scriptwriter has a particular series of fees for a script (based on the length of the script). The scriptwriter charges.... 1) $4 for every standard script, which is 4 pages or shorter in length 2) 50 cents for every additional page 3) NO CHARGE for every 11th ...” February 2, 2019 Rich.C@EMPOWERgmat.com posted a reply to A paint crew gets a rush order to paint 80 houses in a new d in the Problem Solving forum “Hi All, We''re told that a paint crew gets a rush order to paint 80 houses in a new development. They paint the first Y houses at a rate of X houses per week. Realizing that they''ll be late at this rate, they bring in some more painters and paint the rest of the houses at the rate of 1.25X ...” February 1, 2019 Rich.C@EMPOWERgmat.com posted a reply to Two-thirds of the roads from A to B are at least 5 miles in the Problem Solving forum “Hi All, We''re told that 2/3 of the roads from A to B are at least 5 miles long, and 1/4 of the roads from B to C are at least 5 miles long. We''re asked to randomly pick a road from A to B and then randomly pick a road from B to C and determine the probability that AT LEAST ONE of the roads you ...” February 1, 2019 Rich.C@EMPOWERgmat.com posted a reply to Is tutoring necessary for Verbal? in the GMAT Strategy forum “Hi kyuhunl, The degree to which you might find tutoring useful will depend greatly on the study materials that you''re currently using and how quickly you can learn (and properly practice) certain concepts and Tactics. Before I can offer you the specific advice that you’re looking for, it ...” February 1, 2019 GMATGuruNY posted a reply to A paint crew gets a rush order to paint 80 houses in a new d in the Problem Solving forum “Let y=0, implying that NONE of the 80 houses are painted at the original rate of x houses per week, with the result that ALL 80 houses are painted at the greater rate of (5/4)x houses per week. The total time it takes them to paint all the houses under this scenario is what fraction of the time ...” February 1, 2019 GMATGuruNY posted a reply to Three pipes P, Q, and R are attached to a tank. P and Q indi in the Problem Solving forum “Let the tank = 60 liters. Since P takes 3 hours to fill the 60-liter tank, P''s rate = 60/3 = 20 liters per hour. Since Q takes 4 hours to fill the 60-liter tank, Q''s rate = 60/4 = 15 liters per hour. Since R takes 5 hours to empty the 60-liter tank, R''s rate = -(60/5) = −12 liters per ...” February 1, 2019 GMATGuruNY posted a reply to If ( x – y – 2 )^2 + ( x + z + 3 )^2 = 0, then what is t in the Problem Solving forum “Let x=0. Plugging x=0 into (x-y-2)² + (x+z+3)² = 0, we get: (-y-2)² + (z+3)² = 0 Since neither (-y-2)² nor (z+3)² can be negative, the resulting equation is valid only if -y-2=0 and z+3=0, with the result that y=-2 and z=-3. Thus, y+z = -2 + (-3) = -5 The correct answer is E.” February 1, 2019 Rich.C@EMPOWERgmat.com posted a reply to Suppose we have six marbles: 3 blue marbles, 2 red marbles, in the Problem Solving forum “Hi All, We''re told that we have six marbles: 3 blue marbles, 2 red marbles, and one green marble - and that we are going to put them into three cups: a black cup, a white cup, and a purple cup. The only restriction is that the two red marbles CANNOT be in the same cup, meaning that we could put ...” January 31, 2019 Rich.C@EMPOWERgmat.com posted a reply to During a two-week period, the price of an ounce of silver in the Problem Solving forum “Hi All, We''re told that during a two-week period, the price of an ounce of silver INCREASED by 25 percent by the end of the first week and then DECREASED by 20 percent of this new price by the end of the second week. We''re asked, if the price of silver was X dollars per ounce at the beginning ...” January 31, 2019 GMATGuruNY posted a reply to Cars J and K are making the trip from City A to City B. Car in the Problem Solving forum “Since J catches up to K, J and K travel the same distance. Let t = J''s time. Since K leaves 15 minutes earlier than J, K''s time = t+15. Rate and time have a RECIPROCAL RELATIONSHIP. Since K''s rate is 80% of J''s rate, the ratio of K''s rate to J''s rate = 8/10 = 4/5. Thus, the ratio of ...” January 31, 2019 GMATGuruNY posted a reply to f(2x-1) = ( x + 2 ) / ( x – 2 ). What is f(x)? in the Problem Solving forum “Let x=1. Plugging x=1 into f(2x-1) = ( x + 2 ) / ( x – 2 ), we get: f(2*1 - 1) = (1+2)/(1-2) f(1) = -3. When x=1, the question stem becomes: What is f(1)? Since f(1) = -3, the correct answer must yield -3 when x=1. Only A works: f(1) = (1+5)/(1-3) = 6/-2 = -3. The correct answer is A.” January 31, 2019 Rich.C@EMPOWERgmat.com posted a reply to A doctor prescribed 18 cubic centimeters of a certain drug t in the Problem Solving forum “Hi All, This question is essentially about working through the necessary arithmetic. Thankfully, the math itself isn''t that tough, but you do have to stay organized to make sure that you''re setting up the proper calculations. We''re told that a typical dose of a drug is 2 cm^3 per 15 ...” January 31, 2019 Rich.C@EMPOWERgmat.com posted a reply to A metal company's old machine makes bolts at a constant rate in the Problem Solving forum “Hi All, The answer choices to this question provide a fantastic shortcut. With the two machines that we''re given, we know that... Old Machine = 100 bolts/hour New Machine = 150 bolts/hour If they start at the same time, the two machines will create 250 bolts/hour The question asks ...” January 31, 2019 Rich.C@EMPOWERgmat.com posted a reply to A lecture course consists of 595 students. The students are in the Problem Solving forum “Hi All, We''re told that a lecture course consists of 595 students and that the students are to be divided into discussion sections, each with an EQUAL number of students. We''re asked which of the following CANNOT be the number of students in a discussion section. This question is really just ...” January 31, 2019 Rich.C@EMPOWERgmat.com posted a reply to What is the greatest prime factor of 3^6 - 1? in the Problem Solving forum “Hi All, A number of the posts have provided elegant solutions to this question. The basic math behind this prompt is Arithmetic and Prime Factorization though, so if you don''t immediately "see" the elegant approach, you can still get to the answer.... We''re asked to find the ...” January 31, 2019 GMATGuruNY posted a reply to A lecture course consists of 595 students. The students are in the Problem Solving forum “(students per section)(number of sections) = 595 students number of sections = 595/(students per section). The equation in blue indicates that 595 must be divisible by the number of students per section. An integer is divisible by 3 only if its digit sum is a multiple of 3. The digit sum of ...” January 30, 2019 GMATGuruNY posted a reply to Question about idioms and verbs in the Sentence Correction forum “Correct: The contractors demolished the building to keep it from falling. Here, to keep is not an adjective modifying contractors but an ADVERB modifying demolished, expressing WHY the contractors DEMOLISHED the building. Question: WHY did the contractors demolish the building? Answer: TO KEEP it ...” January 30, 2019 GMATGuruNY posted a reply to DS work rate problem in the Data Sufficiency forum “Statement 1: Case 1: Job = 12 units Since A and B together take 4 hours to complete the 12-unit job, the combined rate for A+B = 12/4 = 3 units per hour. Since A alone takes 6 hours to complete the 12-unit job, A''s rate alone = 12/6 = 2 units per hour. B''s rate = (combined rate for A+B) - ...” January 30, 2019 GMATGuruNY posted a reply to PS arithmetic in the Problem Solving forum “An alternate approach is to BALLPARK. √2 ≈ 1.4 √3 ≈ 1.7 (1+√3) * √(2 + √3) ≈ (2.7)(√3.7) = (2.7)(a bit less than 2) = a bit less than 5.4. When we evaluate the answer choices, only C is a bit less than 5.4: √2(2 + √3) ≈ (1.4)(3.7) = 5.18. The correct answer is C.” January 30, 2019 GMATGuruNY posted a reply to DS arithmetic in the Data Sufficiency forum “Statement 1: The inequality implies that a is POSITIVE, allowing us to cross-multiply: 1*2 > a*1 2 > a Since 2>a and a>b>0, we get: 2>a>b>0 Thus, b<2. SUFFICIENT. Statement 2: If b=2, we get: 1/a + 1/2 = 1 1/a = 1/2 a=2 Not possible, since the prompt ...” January 30, 2019 GMATGuruNY posted a reply to The sum of 4 different odd integers is 64. in the Data Sufficiency forum “Statement 1: Since the numbers are EVENLY SPACED, median = sum/count: 64/4 = 16. Since the median = 16, the 4 odd integers must be as follows: 13, 15, 17, 19. Thus, the greatest of the 4 odd integers = 19. SUFFICENT. Statement 2: The 4 odd integers yielded by Statement 1 -- 13, 15, ...” January 30, 2019 GMATGuruNY posted a reply to To create a part for a certain piece of machinery, four equa in the Problem Solving forum “The four 18-degree shaded regions = 4*18 = 72 degrees. The entire circle = 360 degrees. (shaded regions)/(entire circle) = 72/360 = 1/5. Thus: (unshaded regions)/(entire circle) = 1 - 1/5 = 4/5 = 80%. The correct answer is E.” January 29, 2019 Rich.C@EMPOWERgmat.com posted a reply to A new tower has just been built at the Verbico military in the Problem Solving forum “Hi j_shreyans, I''m a big fan of TESTing Values (Mitch''s explanation), but this question can also be solved with algebra…. We''re told that adding a new tower to an existing hospital allows fore 3 times the number of available beds that were there before the tower was built: Just the ...” January 28, 2019 Rich.C@EMPOWERgmat.com posted a reply to A certain company has 18 equally qualified applicants for 4 in the Problem Solving forum “Hi All, We''re told that a certain company has 18 equally qualified applicants for 4 open positions. We''re asked for the number of different groups of 4 applicants that can be chosen by the company to fill the positions if the order of selection does not matter. This question is a fairly ...” January 28, 2019 Rich.C@EMPOWERgmat.com posted a reply to When 12 marbles are added to a rectangular aquarium, the wat in the Problem Solving forum “Hi All, We''re told that when 12 marbles are added to a rectangular aquarium, the water in the aquarium rises 1 1/2 inches. We''re asked how many marbles must be added to the aquarium in total to raise the water 2 3/4 inches. This question is ultimately about ratios, so you can approach the math ...” January 28, 2019 GMATGuruNY posted a reply to When 12 marbles are added to a rectangular aquarium, the wat in the Problem Solving forum “The desired height increase = 11/4 inches. 12 marbles yield a height increase of 3/2 inches. Thus: (desired height increase of 11/4 inches) * (12 marbles)/(height increase of 3/2 inches) = (11/4 * 12)/(3/2) = 33/(3/2) = (33*2)/3 = 11*2 = 22 marbles. The correct answer is D.” January 28, 2019 GMATGuruNY posted a reply to A certain company has 18 equally qualified applicants for 4 in the Problem Solving forum “From 18 applicants, the number of ways to choose 4 = 18C4 = (18*17*16*15)/(4*3*2*1) = (3*17*4*15) = 51*60 = 3060. The correct answer is E.” January 28, 2019 GMATGuruNY posted a reply to A new tower has just been built at the Verbico military in the Problem Solving forum “Let the PRE-TOWER number of beds = the LCM of the denominators in the problem = 3*5 = 15. Then the CURRENT number of beds = 3*15 = 45, implying that the number of beds in the NEW tower = 45-15 = 30. Occupied beds = (1/3)15 + (1/5)30 = 11. Non-occupied beds in the new tower = 30-11 = 19. ...” January 28, 2019 Rich.C@EMPOWERgmat.com posted a reply to A certain library assesses fines for overdue books as in the Problem Solving forum “Hi ALL, This question includes a ''conditional statement'' that effects how you''re supposed to handle each "step" in the math: "for each additional day....., the total fine is EITHER increased by 30 cents OR doubled, whichever results in the LESSER AMOUNT." Since ...” January 27, 2019 Rich.C@EMPOWERgmat.com posted a reply to Machines A and B, working together, take t minutes to in the Problem Solving forum “Hi All, We''re told that Machines A and B, working together, take T minutes to complete a particular work. Machine A, working alone, takes 64 minutes more than T to complete the same work. Machine B, working alone, takes 25 minutes more than T to complete the same work. We''re asked for the ...” January 27, 2019 GMATGuruNY posted a reply to Machines A and B, working together, take t minutes to in the Problem Solving forum “One more approach: Since A+B together complete the job in t minutes: Job = (A''s output in t minutes) + (B''s output in t minutes) If A works alone for t minutes, A can then complete the rest of the job in 64 minutes. In this case, the rest of the job = B''s output in t minutes. Thus, A''s ...” January 27, 2019 GMATGuruNY posted a reply to Prompted by observations of seemingly related species in the Sentence Correction forum “A present perfect verb (has + VERBed or have + VERBed) expresses a PAST ACTION that affects the present. Generally, the usage of a present perfect verb implies that the subject of the verb still exists. Incorrect: The dinosaurs have evolved over time. The sentence above is illogical because the ...” January 27, 2019 GMATGuruNY posted a reply to Machines A and B, working together, take t minutes to in the Problem Solving forum “Always keep your eye on the answer choices. Since A''s time alone (t+64) is greater than B''s time alone (t+25), the ratio of A''s time alone to B''s time alone must be GREATER THAN 1. Eliminate A, C and D. Since the ratio of A''s time to B''s time = (t+64)/(t+25), option E implies the ...” January 27, 2019 GMATGuruNY posted a reply to A certain library assesses fines for overdue books as in the Problem Solving forum “First day: Total fine = 10. For each additional day, the total fine either increases by 30 or doubles -- whichever results in a lesser amount. Second day: Adding 30 cents to the 1-day fine, we get 10+30 = 40. Doubling the 1-day fine, we get 2*10 = 20. Total fine = lesser amount = 20. ...” January 27, 2019 Rich.C@EMPOWERgmat.com posted a reply to When 12 marbles are added to a rectangular aquarium, the in the Problem Solving forum “Hi All, We''re told that when 12 marbles are added to a rectangular aquarium, the water in the aquarium rises 1 1/2 inches. We''re asked how many marbles must be added to the aquarium in total to raise the water 2 3/4 inches. This question is ultimately about ratios, so you can approach the math ...” January 26, 2019 Rich.C@EMPOWERgmat.com posted a reply to Barbara invests$2400 in the National Bank at 5%. How much in the Problem Solving forum
“Hi All, We''re told that Barbara invests $2400 in the National Bank at 5%. We''re asked how much additional money she must invest at 8% so that the TOTAL annual income will be equal to 6% of her entire investment. This question can be approached in a number of different ways, including by ...” January 26, 2019 GMATGuruNY posted a reply to If the drama club and music club are combined, what percent in the Data Sufficiency forum “Clearly, neither statement alone is sufficient. Statements combined: Case 1: No one is a member of both clubs Total males = 15+10 = 25. Total members = 16+20 = 36. Resulting fraction: (total males)/(total members) = 25/36. Case 2: Every male in the music club is also in the drama ...” January 26, 2019 GMATGuruNY posted a reply to Frank and Georgia started traveling from A to B at the same in the Problem Solving forum “Let d = the number of miles between A and B. Since Georgia travels the entire d miles between A and B and then an additional 60 miles back toward A, Georgia''s distance = d+60. Since Frank travels all but 60 of the d miles between A and B, Frank''s distance = d-60. Since Georgia''s travels 3/2 ...” January 26, 2019 Rich.C@EMPOWERgmat.com posted a reply to Ratio in the Problem Solving forum “Hi All, We''re told that a in the first M games of a team´s season, the ratio of the team´s wins to its losses was 1:2 and in the subsequent N games, the ratio of the team´s wins to losses was 1:3. If M:N = 4:5, we''re asked for the ratio of the team´s wins to its losses for all M+N games. ...” January 25, 2019 Rich.C@EMPOWERgmat.com posted a reply to A major airplane manufacturer announced the sale of 150 in the Problem Solving forum “Hi All, We''re told that a major airplane manufacturer announced the sale of 150 small airliners at$125 million each, 75 medium sized airliners at $175 million each, and 60 large airliners at$220 million each. We''re asked for the percentage of the company''s income that came from large and ...”
January 25, 2019
GMATGuruNY posted a reply to Ratio in the Problem Solving forum
“Let S = the entire season (in other words, the mixture of M and N). Alligation can be performed only with percentages or fractions. Step 1: Convert the ratios to FRACTIONS. M: Since win:losses = 1:2, and 1+2=3, wins/total = 1/3. N: Since wins:losses = 1:3, and 1+3=4, wins/total = 1/4. ...”
January 25, 2019
GMATGuruNY posted a reply to How many factors greater than 1 do 120, 210, and 270 have in in the Problem Solving forum
“120 = 30*4 210 = 30*7 270 = 30*9 The GCF = the value in blue = 30. Factors of 30 greater than 1: 2, 3, 5, 6, 10, 15, 30 --> 7 factors Thus, 120, 210, and 270 have 7 common factors greater than 1. The correct answer is D.”
January 24, 2019
GMATGuruNY posted a reply to Stacy and Katie plan to walk the 27-mile scenic route across in the Problem Solving forum
“Since Stacy and Katie travel toward each other, they WORK TOGETHER to cover the 27 miles between them. Since Stacy is 1/4 faster than Katie, for every 4 miles that Katie travels, the distance traveled by Stacy = 4 + (1/4)(4) = 5 miles. Thus, of every 9 miles traveled when Stacy and Katie work ...”
January 24, 2019
Rich.C@EMPOWERgmat.com posted a reply to A miniature roulette wheel is divided into 10 equal sectors, in the Problem Solving forum
“Hi All, We''re told that a miniature roulette wheel is divided into 10 equal sectors, each bearing a distinct integer from 1 to 10, inclusive. Each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector and the wheel is spun three times. We''re asked for ...”
January 24, 2019
Rich.C@EMPOWERgmat.com posted a reply to The total cost of a vacation was divided among 3 people. If in the Problem Solving forum
“Hi All, We''re told that the total cost of a vacation was divided equally among 3 people and that if the total cost of the vacation had been divided equally among 4 people, then the cost per person would have been $50 LESS. We''re asked for the total cost of the vacation. This question can be ...” January 24, 2019 Rich.C@EMPOWERgmat.com posted a reply to A shirt that costs k dollars is increased by 30%, then by an in the Problem Solving forum “Hi All, We''re told that the price of a shirt that costs K dollars is increased by 30%, then that price is increased by an additional 50%. We''re asked for the final price of the shirt in dollars, in terms of K. This question can be solved in a number of different ways - including Algebraically ...” January 24, 2019 Rich.C@EMPOWERgmat.com posted a reply to Getting out of a Rut: Overcoming 680 over 3 consecutive atte in the I just Beat The GMAT! forum “Hi markymarc89, That''s OUTSTANDING news! With a 740/Q50, you can comfortably apply to ANY Business Schools that interest you. Since you''ve already taken care of your applications, there''s not much else to do at this point (unless you want to consider applying to any additional Schools). We''re ...” January 23, 2019 GMATGuruNY posted a reply to If when a certain integer x is divided by 5, the remainder in the Problem Solving forum “Since dividing x by 5 yields a remainder, x is not a multiple of 5 and thus not a multiple of 10. Since x is not a multiple of 10, x/10 cannot yield an integer value. The correct answer is B.” January 22, 2019 GMATGuruNY posted a reply to Mary and Kate are running clockwise around a circular track in the Problem Solving forum “Since Mary is behind Kate by 250 meters -- half the circumference of the track -- she will catch up to Mary when she has traveled 250 meters more than Kate. To catch up to Kate a second time, Mary must then travel one more lap than Kate -- in other words, 500 meters more than Kate. Implication: ...” January 22, 2019 Rich.C@EMPOWERgmat.com posted a reply to Of the votes cast on a certain proposal, 80 more were in in the Problem Solving forum “Hi All, We''re told that of the votes cast on a certain proposal, 80 MORE were in favor of the proposal than were against it and the number of votes against the proposal was 40 percent of the TOTAL vote. We''re asked for the total number of votes cast? (Each vote cast was either in favor of the ...” January 22, 2019 Rich.C@EMPOWERgmat.com posted a reply to Which of the following is closest to the value of (2^23) in the Problem Solving forum “Hi All, We''re asked which of the following is closest to the value of (2^23)(5^26). If you don''t immediately see the ''Exponent'' rules that apply to this question, then you can still solve it with some basic Arithmetic and logic. To start, when you multiply a bunch of numbers together, the ...” January 22, 2019 Rich.C@EMPOWERgmat.com posted a reply to The number 75 can be written as the sum of the squares of 3 in the Problem Solving forum “Hi All, This question can be solved with a bit of ''brute force'' arithmetic, but the speed with which you solve it will likely depend on how quickly you can write everything down and how you do the work. We''re asked to find the three positive integers, whose squares add up to 75. To start, ...” January 22, 2019 GMATGuruNY posted a reply to If y=|x-1|+|x+1|, then y=? in the Data Sufficiency forum “|x-1| = the distance between x and 1. |x+1| = the distance between x and -1. -1<--|x+1|-->x<--|x-1|-->1 Here, since the total distance between the two endpoints is 2, the sum of the 2 distances in red is 2. If x is any value between the two endpoints, then the sum of the two ...” January 22, 2019 GMATGuruNY posted a reply to A = (2-3+4)^{11}, and B = (-2+3-4)^{11}. What is the value o in the Problem Solving forum “A = (2-3+4)¹¹ = 3¹¹ B = (-2+3-4)¹¹ = (-3)¹¹ = -3¹¹ Thus: A+B = 3¹¹ - 3¹¹ = 0 2^(A+B) = 2⁰ = 1. The correct answer is C.” January 22, 2019 GMATGuruNY posted a reply to GMAT OG 2019 The Commerce Department reported that in the Sentence Correction forum “were + VERBing is the plural form of the PAST PROGRESSIVE tense (also known as the past continuous tense). The past progressive tenses serve to express actions that happen CONTINUOUSLY FOR A LIMITED DURATION OF TIME. OA: While businesses were expanding their production, unsold goods were piling ...” January 22, 2019 GMATGuruNY posted a reply to Machine A produces pencils at a constant rate of 9000 in the Problem Solving forum “To minimize B''s time, we must maximize A''s time. Since each machine can work for at most 8 hours, let A''s time = 8 hours. Since A''s rate = 9000 pencils per hour, the number of pencils produced by A in 8 hours = rt = 9000*8 = 72,000. Remaining pencils = 100,000 - 72,000, = 28,000. Since ...” January 21, 2019 GMATGuruNY posted a reply to A bowl contains pecans, cashews, and almonds in a ratio of 6 in the Problem Solving forum “Original ratio values: P.................................................C...............................................A 6x<---distance of 4x--->10x<---distance of 5x--->15x Options for the new ratio: I) 1 : 2 : 3 I) 2 : 3 : 4 III) 4 : 7 : 10 The ratio values in each ...” January 21, 2019 GMATGuruNY posted a reply to If x-2y=4, then x^2-4xy+4y^2-x+2y=? in the Problem Solving forum “Let x=4 and y=0, with the result that x-2y = 4. Plugging x=4 and y=0 into x² - 4xy + 4y² - x + 2y, we get: 4² - 0 + 0 - 4 + 0 = 12. The correct answer is A.” January 21, 2019 Rich.C@EMPOWERgmat.com posted a reply to If Sam were twice as old as he is, he would be 40 years in the Problem Solving forum “Hi All, We''re told that if Sam were TWICE as old as he is, then he would be 40 years older than Jim and that Jim is currently 10 years YOUNGER than Sam. We''re asked for Sam''s current age. This question can be solved in a couple of different ways, including by TESTing THE ANSWERS. Since the ...” January 20, 2019 Rich.C@EMPOWERgmat.com posted a reply to [x] denotes the least integer greater than or equal to x ... in the Problem Solving forum “Hi All, This is an example of a ''Symbolism'' question - the prompt ''makes up'' a math symbol, tells you what it means, then asks you to perform a calculation using it. When dealing with these types of symbols, it often helps to jot down a few examples, so that you understand the work that will ...” January 20, 2019 Rich.C@EMPOWERgmat.com posted a reply to On a game show, a contestant is given three keys, each of in the Problem Solving forum “Hi All, We''re told that on a game show, a contestant is given three keys, each which opens exactly one of three identical boxes. The first box contains$1, the second $100, and the third$1000. The contestant assigns each key to one of the boxes and wins the amount of money contained in any box ...”
January 20, 2019
GMATGuruNY posted a reply to A company bought some desks at a price of $150 each and some in the Data Sufficiency forum “Test the THRESHOLD. In the question stem, the threshold is 40 CHAIRS. The total cost of 40 chairs = 40*50 = 2000. Statement 1: The total price of the desks and chairs is 5,000. It is possible that 40 chairs are purchased (at a total cost of$2000) or that MORE CHAIRS are purchased. ...”
January 20, 2019
GMATGuruNY posted a reply to What is the value of x? in the Data Sufficiency forum
“Statement 1: To have exactly 3 positive factors, x must be the square of a prime number. Factors of x=2²=4: 1, 2, 4 Factors of x=3²=9: 1, 3, 9 Factors of x=5²=25: 1, 5, 25. Since x can be different values, INSUFFICIENT. Statement 2: Clearly INSUFFICIENT. Statements combined: x ...”
January 20, 2019
GMATGuruNY posted a reply to The average American spends y dollars on food per month, exc in the Problem Solving forum
“Monthly food expense except in January: Let y=$2. Discount in January: Let x=100%. Since$2 is spent each month for 8 of the first 9 months, the total spent during these 8 months = 8*2 = 16. Since food purchases are 100% lower in January -- implying that they are FREE in January -- the amount ...”
January 20, 2019
GMATGuruNY posted a reply to In a certain pet shop, 1/3 of the pets are dogs and 1/5 of in the Data Sufficiency forum
“Alternate approach: To determine the ratio of birds to dogs, plug in a TEST VALUE for the total number of pets. Let b = the number of birds and d = the number of dogs. Let the test value for the total number of pets = the LCM of 3 and 5 = 15. Since 1/5 are birds, b = 1/5 * 15 = 3. Since 1/3 ...”
January 19, 2019
Rich.C@EMPOWERgmat.com posted a reply to Danny and Ian are munching on a jar full of candies. Had in the Problem Solving forum
“Hi All, This question is essentially a "Work Formula" question, since it has 2 people working on a task together. You have to be really careful with the details though, since the two given rates are NOT for the same task.... We''re told that Danny can finish off the jar of candies in ...”
January 18, 2019
Rich.C@EMPOWERgmat.com posted a reply to A bus completed first 50 miles of a 120-mile trip at an in the Problem Solving forum
“Hi All, We''re told that a bus completed first 50 miles of a 120-mile trip at an average speed of 20 mph. Then it took a halt of 30 minutes and completed half of the remaining journey at an average speed of 35 mph. We''re asked for the average speed it should complete the REMAINING part of the ...”
January 18, 2019
GMATGuruNY posted a reply to How many hours did it take Helen to drive from her house to in the Data Sufficiency forum
“Statement 1: If d=72, then t = d/r = 72/72 = 1 hour. If d=144, then t = 144/72 = 2 hours. Since the time can be different values, INSUFFICIENT. Statement 2: Time and rate have a RECIPROCAL RELATIONSHIP: If the time is cut in HALF, then the rate DOUBLES. If the time DOUBLES, then the ...”
January 18, 2019
GMATGuruNY posted a reply to If tank X contains only gasoline, how many kiloliters of gas in the Data Sufficiency forum
“Let G = the gas in the tank and C = the capacity of the tank. Statement 1: G - (1/2)G = (1/3)C No way to solve for G. INSUFFICENT. Statement 2: G + 0.75 = C No way to solve for G. INSUFFICIENT. Statements combined: Since we have two variables (G and C) and two distinct linear ...”
January 18, 2019
Rich.C@EMPOWERgmat.com posted a reply to Three children, John, Paul, and Ringo, are playing a game. in the Problem Solving forum
“Hi All, We''re told that three children - John, Paul, and Ringo, are playing a game. Each child will choose either the number 1 or the number 2. When one child chooses a number DIFFERENT from those of the other two children, he is declared the winner. If all of the children choose the SAME ...”
January 18, 2019
Rich.C@EMPOWERgmat.com posted a reply to A will was written such that an estate would be divided amon in the Problem Solving forum
“Hi All, We''re told that a will was written such that an estate would be divided among FIVE beneficiaries with the remainder donated to charity, with one stipulation in the will is that no one beneficiary can receive an amount within 20% of another''s amount. One of the beneficiaries received ...”
January 18, 2019
Rich.C@EMPOWERgmat.com posted a reply to If Jake loses 8 pounds, he will weigh twice as much as his s in the Problem Solving forum
“Hi All, This question can be solved with fairly straight-forward Algebra (as some of the other solutions have proven). It can also be solved by TESTing THE ANSWERS and a bit of logic. We''re told that the total weight of Jake and his sister is 278 pounds. We''re also told that if Jake lost 8 ...”
January 18, 2019
Rich.C@EMPOWERgmat.com posted a reply to Need Suggestion on books in the GMAT Strategy forum
“Hi JOHNMC, Raising a 430 to the point that you could consistently score 700+ will likely require at least another 3 months of consistent, guided study - and you''ll have to make significant improvements to how you handle BOTH the Quant and Verbal sections. Thankfully, the GMAT is a consistent, ...”
January 18, 2019
GMATGuruNY posted a reply to If Jake loses 8 pounds, he will weigh twice as much as his s in the Problem Solving forum
“Here, the value in red is the sum of Jake''s weight and TWICE the sister''s weight: 187 + 2(89.5) = 366. But the prompt gives an integer value for the sum of Jake''s weight and the sister''s ACTUAL weight -- a constraint that forces Jake''s weight to be an even integer.”
January 17, 2019
GMATGuruNY posted a reply to If Jake loses 8 pounds, he will weigh twice as much as his s in the Problem Solving forum
“The sum of Jake''s weight and his sister''s weight is an INTEGER VALUE. The answer choices indicate that Jake''s weight is an INTEGER VALUE. Implication: The sister''s weight must also be an integer value. Thus, the value in red -- 89.5 -- is not a valid option for the sister''s weight. Given ...”
January 17, 2019
GMATGuruNY posted a reply to The speed of a boat is 5 times the speed at which a river fl in the Problem Solving forum
“Let the river''s rate = 1 mph and the boat''s rate = 5 mph. When the boat travels DOWNRIVER, the boat and the river WORK TOGETHER, so we ADD their rates: 5+1 = 6 mph. When the boat travels UPRIVER, the boat and the river COMPETE, so we SUBTRACT their rates: 5-1 = 4 mph. Rate and time have ...”
January 17, 2019
GMATGuruNY posted a reply to If Jake loses 8 pounds, he will weigh twice as much as his s in the Problem Solving forum
“ALWAYS KEEP YOUR EYE ON THE ANSWER CHOICES. If Jake loses 8 pounds, he will weigh twice as much as his sister. j-8 = 2s j = 2s + 8 = even + even = even. Since Jake''s weight must be an EVEN VALUE, the correct answer is E.”
January 17, 2019
Rich.C@EMPOWERgmat.com posted a reply to Mixture A is 15 percent alcohol, and mixture B is 50 percent in the Problem Solving forum
“Hi All, We''re told that Mixture A is 15 percent alcohol and mixture B is 50 percent alcohol and when a certain amount of each is poured together to create a 4-gallon mixture, the result contains 30 percent alcohol. We''re asked approximately how many gallons of mixture A are in the mixture. ...”
January 16, 2019
Rich.C@EMPOWERgmat.com posted a reply to Which of the following equations represents a line in the Problem Solving forum
“Hi All, We''re asked which of the 5 answers is the equation for a line that is perpendicular to line K in the figure above. This question is based on line/graphing rules. To start, a PERPENDICULAR line is one that has an "opposite inverse" slope (sometime called a "negative ...”
January 16, 2019
Rich.C@EMPOWERgmat.com posted a reply to If a certain concrete mixture contains gravel, water, and in the Problem Solving forum
“Hi All, We''re told that a certain concrete mixture contains gravel, water, and sand in a ratio of 1 to 3 to 5 by weight. We''re asked for the number of pounds of gravel that would be needed to produce 72 pounds of the mixture. This math behind this question can be approached in a number of ...”
January 16, 2019
Rich.C@EMPOWERgmat.com posted a reply to Need Suggestion on books in the GMAT Strategy forum
“Hi JOHNMC, Since it sounds like you''re just beginning your studies, then it would be a good idea to take a FULL-LENGTH practice CAT Test; you can take 2 for free at www.mba.com (and they come with some additional practice materials). If you want to do a little studying first, so that you can ...”
January 16, 2019
GMATGuruNY posted a reply to Sarah is in a room with 6 other children. If the other child in the Data Sufficiency forum
“Let S = Sara''s age. Sum of the ages = 2+4+5+8+10+13+S = 42+S. Statement 1: Since the average age is equal to an INTEGER -- the fourth largest age -- we get: Sum of the ages = (number of ages)(average age) = (7)(INTEGER) = multiple of 7. The blue expression and the red expression each ...”
January 16, 2019
GMATGuruNY posted a reply to If the median and the range of the data set 1, 1, 2, 2, 3, 3 in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the value of m. When the correct answer is plugged in, the median will be equal to the range. Note: When the prompt includes the phrase which of the following, the correct answer is likely to be D or E. E: m=3 Resulting set: 1, 1, 2, 2, m=3, 3, 3, ...”
January 16, 2019
Rich.C@EMPOWERgmat.com posted a reply to In a 200 member association consisting of men and women, exa in the Problem Solving forum
“Hi All, We''re told that in a 200 member association consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners. We''re asked for the LEAST number of members who are homeowners. This question is built around a couple of Number Properties - and to MINIMIZE the number of ...”
January 15, 2019
Rich.C@EMPOWERgmat.com posted a reply to Roger wants to arrange three of his five books on his in the Problem Solving forum
“Hi All, We''re told that Roger wants to arrange three of his five books on his bookshelf, but two of the five books are duplicates and cannot both be selected. We''re asked for the number different ways that Roger can arrange his books. The wording of this question is a bit ''quirky'', but the ...”
January 15, 2019
GMATGuruNY posted a reply to Henry eats X scones in X percent of the time it takes Rachel in the Problem Solving forum
“Let X=8 and Y=4. Henry eats X scones in X percent of the time it takes Rachel to eat Y scones. Since Henry eats X=8 scones in 8% of the time it takes Rachel to eat Y=4 scones -- 10 minutes, according to the prompt -- the time for Henry to eat 8 scones = 8% of 10 minutes = (8/100)(10) = 4/5 ...”
January 15, 2019
GMATGuruNY posted a reply to A rectangular wall has dimensions of 800 by 300. If the wall in the Problem Solving forum
“number of tiles = (wall area)/(tile area) = (800*300)/(25*12) = 32*25 = 800. The correct answer is E.”
January 15, 2019
GMATGuruNY posted a reply to In a 200 member association consisting of men and women, exa in the Problem Solving forum
“Consider the following equation: 7x + 5y = 70. If x and y are nonnegative integers, the following solutions are possible: x=10, y=0 x=5, y=7 x=0, y=14. Notice the following: The value of x changes in increments of 5 (the coefficient for y). The value of y changes in increments of ...”
January 15, 2019
GMATGuruNY posted a reply to The cost of a square slab is proportional to its thickness a in the Data Sufficiency forum
“x is directly proportional to y implies the following: x/y = k. x = ky. In each case, k is a CONSTANT. The cost of a square slab is proportional to its thickness and also proportional to the square of its length. Thus: c = k * T * L². What is the cost of a square slab that is 3 meters ...”
January 15, 2019
GMATGuruNY posted a reply to Thomasville tree planting in the Critical Reasoning forum
“species may be singular or plural. Passage: Planting trees primarily from the species that turns out to have the best record of survival will assure downtown Thomasville of an abundant tree population 20 years from now. Here, the verb attributed to species is turns. Since turns is singular, ...”
January 14, 2019
Rich.C@EMPOWERgmat.com posted a reply to Probability question in the Problem Solving forum
“Hi yenngoc2409, I''m going to give you a hint so that you can adjust your calculation. Your result is too high because you have not accounted for the ''duplicate'' entries. For example, if the 4 cards were 2233, then you have an option that has two pair... but you also have two of the options ...”
January 14, 2019
GMATGuruNY posted a reply to Three machines have equal constant work rates. It takes h + in the Problem Solving forum
“(number of machines)(number of hours) = number of toys that are produced. In the prompt above, the blue values are THE SAME. Implication: 2 machines take h+3 hours to produce the same number of toys as 3 machines in 2 hours: 2(h+3) = 3h 2h + 6 = 3h 6 = h. Since 3 machines produce 360 toys ...”
January 14, 2019
GMATGuruNY posted a reply to If Jay has 99 problems, in how many ways can he select k of in the Data Sufficiency forum
“Rule: nCr = nC(n-r) Examples: 5C2 = 5C(5-2) = 5C3. 10C3 = 10C(10-3) = 10C7. 99C5 = 99C(99-5) = 99C94. Statement 2: Jay can select k-1 of his problems in 4851 different ways. Since 4851 is relatively small, test small values for k-1. Case 1: k-1 = 2 From 99 problems, the number of ...”
January 14, 2019
Rich.C@EMPOWERgmat.com posted a reply to CARS in the Problem Solving forum
“Hi All, We''re told that the number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively and that the sixth car through the production line has either 3, 7, or 12 defects. We''re asked which of the following three values does the MEAN ...”
January 13, 2019
Rich.C@EMPOWERgmat.com posted a reply to GMAT Help Required.. 4 months to go.. diag 540 (38/27) in the GMAT Strategy forum
“Hi amg0410, To start, a 540 is a solid initial CAT Score (the average Score on the Official GMAT hovers around 550 most years). Before I can offer you the specific advice that you’re looking for, it would help if you could provide a bit more information on your timeline and your goals: ...”
January 13, 2019
GMATGuruNY posted a reply to A tank has two water pumps Alpha and Beta and one drain Gamm in the Problem Solving forum
“Let x = 2 hours, y = 3 hours and z = 4 hours. Let the tank = 12 gallons. Since Alpha takes 2 hours to fill the 12-gallon tank, Alpha''s rate = w/t = 12/2 = 6 gallons per hour. Since Beta takes 3 hours to fill the 12-gallon tank, Beta''s rate = w/t = 12/3 = 4 gallons per hour. Since Gamma takes ...”
January 13, 2019
Rich.C@EMPOWERgmat.com posted a reply to Carlos runs a lap around the track in x seconds. His second in the Problem Solving forum
“Hi All, We''re told that Carlos runs a lap around the track in X SECONDS. His second lap is five SECONDS SLOWER than the first lap, but the third lap is two SECONDS FASTER than the first lap. We''re asked for Carlos’s average (arithmetic mean) number of MINUTES per LAP, in terms of X. This ...”
January 12, 2019
Rich.C@EMPOWERgmat.com posted a reply to Patricia builds two triangles, each with 30 feet of wood. in the Problem Solving forum
“Hi All, We''re told that Patricia builds two triangles, EACH with 30 feet of wood. The first triangle ABC is built to maximize the LENGTH of the BASE side. The second triangle DEF is built to maximize the AREA of the triangle. In addition, the lengths of all line segments are INTEGERS. We''re ...”
January 12, 2019
Rich.C@EMPOWERgmat.com posted a reply to I took the GMAT today in the GMAT Strategy forum
“Hi mbaorbust3, I''m sorry to hear that Test Day did not go as well as hoped. Business Schools generally don''t care if you retake the GMAT though, so you have little to worry about in that regard. Before we can discuss how you might improve this next phase of your studies, it would help if you ...”
January 12, 2019
GMATGuruNY posted a reply to To furnish a room in model home, an interior decorator is to in the Problem Solving forum
“Since 150 combinations are possible, we get: (number of ways to choose 2 chairs)(number of ways to choose 2 tables) = 150. From 5 chairs, the number of ways to choose 2 = 5C2 = (5*4)/(2*1) = 10. Thus: (10)(number of ways to choose 2 tables) = 150 number of ways to choose 2 tables = 150/10 = ...”
January 11, 2019
GMATGuruNY posted a reply to Carlos runs a lap around the track in x seconds. His second in the Problem Solving forum
“Let x = 5 seconds for the first lap, implying 10 seconds for the second lap, 3 seconds for the third lap, and a total of 18 seconds for all 3 laps. (18 seconds)/(3 laps) = (6 seconds)/(1 lap) = 1/10 minute per lap. The correct answer must yield a value of 1/10 when x=5. Only D works: (x+1)/60 ...”
January 11, 2019
GMATGuruNY posted a reply to Every day in the morning Ross cycles for 2 hours. He always in the Problem Solving forum
“The information in red is irrelevant. Only the following facts matter: Ross travels onward at a rate of 1 mile every 12 minutes. He travels home for twice the onward distance at half the onward speed. Onward speed = 1 mile per 12 minutes = 5 miles per 60 minutes = 5 mph. Let the onward ...”
January 11, 2019
Rich.C@EMPOWERgmat.com posted a reply to In a certain bathtub, both the hot and cold water fixtures in the Problem Solving forum
“Hi All, We''re told that In a certain bathtub, both the hot and cold water fixtures leak. The cold water leak alone would fill an empty bucket in C hours, and the hot water leak alone will fill the same bucket in H hours, where C < H. If both fixtures began to leak at the same time into the ...”
January 11, 2019
Rich.C@EMPOWERgmat.com posted a reply to The following tables show the revenues and costs, in in the Problem Solving forum
“Hi All, We''re told that Profit = Revenue - Costs and that costs will remain constant from 2007 to 2008, while revenues INCREASE by 10% in that same period. We''re asked for the percent increase in PROFITS from 2007 to 2008. This question comes down to some Arithmetic and the Percentage Change ...”
January 11, 2019
Rich.C@EMPOWERgmat.com posted a reply to A class consists of 12 girls and 20 boys. One quarter of the in the Problem Solving forum
“Hi All, We''re told that a class consists of 12 girls and 20 boys. One-quarter of the girls in the class have blue eyes. We''re asked for the probability that a randomly selected child is a girl who does NOT have blue eyes. This question comes down to some basic organization and Arithmetic. ...”
January 11, 2019
Rich.C@EMPOWERgmat.com posted a reply to Guidance on study plan in the GMAT Strategy forum
“Hi szhao, To start, a 730 initial Score is an outstanding performance (the average Score on the Official GMAT hovers around 550 most years), so you''re clearly a strong critical thinker. Focusing on the GMAT now - years before you will actually need your Score - is also a smart choice. Since ...”
January 11, 2019
GMATGuruNY posted a reply to At a certain fruit stand, the price of each apple is 40 in the Problem Solving forum
“The original total cost of the 10 pieces of fruit = 10*56 = 560. According to the answers, after 1, 2, 3, 4, or 5 oranges are removed -- so that 9, 8, 7, 6, or 5 pieces of fruit remain -- the average cost per piece decreases to 52. Since the original total cost is a multiple of 10, and the price ...”
January 11, 2019
Rich.C@EMPOWERgmat.com posted a reply to The price of a phone call consists of a standard connection in the Problem Solving forum
“Hi All, We''re told that the price of a phone call consists of a standard connection fee, which is constant, plus a per minute charge, a 10-minute call costs $2.90 and a 16-minute call costs$4.40. We''re asked for the cost of a 13-minute call. This question can be solved in a couple of ...”
January 10, 2019
Rich.C@EMPOWERgmat.com posted a reply to This year, x people won an Olympic medal for water in the Problem Solving forum
“Hi All, This question can be solved by TESTing VALUES (and taking a few notes). We''re told that X people won a medal for water competitions. Of those X people, 1/3 won a medal for swimming; of those who won a medal for SWIMMING, 1/4 also won a medal for diving. The common denominator ...”
January 10, 2019
GMATGuruNY posted a reply to This year, x people won an Olympic medal for water in the Problem Solving forum
“Let x = the product of the two denominators in the prompt = 3*4 = 12. Since 1/3 won a medal for swimming, the number who won a medal for swimming = (1/3)(12) = 4. Since 1/4 of the medal winners for swimming also won a medal for diving, the number who won both a medal for swimming and a medal for ...”
January 10, 2019
GMATGuruNY posted a reply to (7+43+7-43)^2 is equal to which of the following? in the Problem Solving forum
“√3 ≈ 1.7. 7 + 4√3 ≈ 7 + (4)(1.7) = 13.8. 7 - 4√3 ≈ 7 - (4)(1.7) = 0.2. Thus, the given expression can be approximated as follows: (√13.8 + √0.2)² = a little more than 13.8. Only D is viable. The correct answer is D.”
January 10, 2019
“Offhand, I cannot cite an official SC that violates the rule discussed above.”
January 10, 2019
Rich.C@EMPOWERgmat.com posted a reply to How many integers between in the Problem Solving forum
“Hi All, This question is essentially about arithmetic and taking the proper notes. You can go about the math steps in a couple of different ways though - depending on how you ''see'' this information. From the prompt, we know that the farmer spent $35 on feed.... 40% of his money on chicken ...” January 10, 2019 Rich.C@EMPOWERgmat.com posted a reply to Stock - Number of shares V ------------------- 68 W ------- in the Problem Solving forum “Hi All, "Range" questions come from the broader category of statistics, which will show up a couple of times on the GMAT. The range of a group of numbers is the difference between the largest number and the smallest number. Based on the original number of shares, the range would ...” January 10, 2019 Rich.C@EMPOWERgmat.com posted a reply to The water from one outlet, flowing at a constant rate, can f in the Problem Solving forum “Hi All, This question is a standard "Work Formula" question. When you have 2 entities sharing a task, you can use the following formula to figure out how long it takes for the 2 entities to complete the task together. Work = (A)(B)/(A+B) where A and B are the individual times ...” January 10, 2019 Rich.C@EMPOWERgmat.com posted a reply to The architects of a certain type of building estimate in the Problem Solving forum “Hi All, We''re told that the architects of a certain type of building estimate construction costs to be$2.0 million per floor for each of the first 5 floors, $2.5 million per floor for each of the next 3 floors, and$3.5 million per floor for any additional floors. We''re asked what the ...”
January 10, 2019
GMATGuruNY posted a reply to What is the greatest possible area of a triangular region in the Problem Solving forum
“Given two sides of a triangle, the greatest possible area will be achieved if the two sides form a RIGHT ANGLE and serve as the triangle''s base and height. For the problem above, I posted an illustrated solution here: ...”
January 9, 2019
GMATGuruNY posted a reply to Stock - Number of shares V ------------------- 68 W ------- in the Problem Solving forum
“Original range = (greatest number of shares) - (smallest number of shares) = 112-45 = 67. After 24 shares of Y are purchased, new Y = 94+24 = 118. After 20 shares of X are sold, new X = 56-20 = 36. New range = (new greatest number of shares) - (new smallest number of shares) = 118-36 = 82. ...”
January 9, 2019
GMATGuruNY posted a reply to On a certain Monday, Carlos drove to work at an average in the Problem Solving forum
“When the SAME DISTANCE is traveled at two different speeds, the average speed for the entire trip will be CLOSER TO THE LOWER SPEED than to the higher speed. The reason: The portion traveled at the lower speed takes LONGER. Since more time is spent at the lower speed than at the higher speed, the ...”
January 8, 2019
Rich.C@EMPOWERgmat.com posted a reply to Sumanta needs to type up her 1950-word paper by its 5 pm in the Problem Solving forum
“Hi All, This question can be solved by TESTing THE ANSWERS. This is essentially a rate question, but the rate (and the time spent at that rate) changes depending on what time Rachel begins typing. Based on the information in the prompt, we know that if Rachel begins typing at 3pm, then she ...”
January 8, 2019
Rich.C@EMPOWERgmat.com posted a reply to In the first round of the elections, the only two candidates in the Problem Solving forum
“Hi All, We''re told that in the first round of the elections, the only two candidates got exactly the SAME number of votes and during the second round, 15,000 votes switched from the first candidate to the second one. We''re also told that the total number of votes remained the same in both ...”
January 8, 2019
GMATGuruNY posted a reply to A department manager distributed a number of pens, pencils, in the Data Sufficiency forum
“Statement 1: The numbers of pens, pencils, and pads that each staff member received were in the ratio 2:3:4, respectively. Since 2+3+4 = 9, the total number of pens + pencils + pads must be a multiple of 9. No way to determine the exact number of staff members. INSUFFICIENT. Statement 2: ...”
January 8, 2019
GMATGuruNY posted a reply to Because natural gas is composed mostly of methane in the Sentence Correction forum
“Both of the following are viable: Vehicles powered by natural gas emit less of certain pollutants than those burning gasoline or diesel fuel. Vehicles powered by ndatural gas emit less of certain pollutants than do those burning gasoline or diesel fuel. The inclusion of do is optional. With or ...”
January 8, 2019
GMATGuruNY posted a reply to If the graph of y = x^2 + ax + b passes through the points ( in the Data Sufficiency forum
“What is the value of n-m? (m,0) and (n,0) are the two points where y=0 and the graph intersects the x-axis. Thus, m and n are the x-intercepts of the graph. Since m < n, n-m > 0. Question rephrased: What is the positive difference between the x-intercepts? Statement 1: 4b = a²-4 Test ...”
January 8, 2019
GMATGuruNY posted a reply to If x is integer and 3 | x |+x < 4, what is the value of x in the Data Sufficiency forum
“3|x| < 4-x Case 1: Signs unchanged 3x < -x 4x < 4 x < 1 Case 2: Signs changed in the absolute value 3(-x) < 4-x -2x < 4 x > -2 Question stem, rephrased: If x is an integer such that -2 < x < 1, what is the value of x? Statement 1: x < 0 Here, x must ...”
January 8, 2019
Rich.C@EMPOWERgmat.com posted a reply to What is the value of 25*8÷50÷2 in the Problem Solving forum
“Hi All, We''re asked for the value of 25*8÷50÷2. This question involves rules called "Order of Operations", but as long as you know those rules, the work here isn''t too difficult. In Order of Operations, both multiplication and division are on the same ''level'' (meaning that you ...”
January 8, 2019
Rich.C@EMPOWERgmat.com posted a reply to HELP!!! Very POOR VERBAL score. in the Suggestions and Feedback forum
“Hi Linda, Training to score at a high level on the GMAT often requires more than just ''weekend study'', so if you can put in a little study time during the week (even if it''s just an hour a day), then that would likely help you a great deal. As it stands, with a 580, you''re actually closer to ...”
January 8, 2019
Rich.C@EMPOWERgmat.com posted a reply to The main ingredient in a certain prescription drug capsule c in the Problem Solving forum
“Hi All, We''re told that the main ingredient in a certain prescription drug capsule cost $500 per kilogram. If each capsule contains 600 milligrams of ingredient, what is the cost of the ingredient in a capsule? (1 kilogram = 10^6 milligrams). This is a ''unit conversion'' question and comes ...” January 7, 2019 GMATGuruNY posted a reply to In 1991, the price of a house was 80% of its original price. in the Problem Solving forum “Let the original price = 100. 1991 price = 80% of 100 = 80. 1992 price = 60% of 100 = 60. Percent decrease from 80 to 60 = (Difference/Larger) * 100 = (20/80) * 100 = 25. The correct answer is B.” January 7, 2019 GMATGuruNY posted a reply to The main ingredient in a certain prescription drug capsule c in the Problem Solving forum “Each capsule contains 600 milligrams of ingredient. 10⁶ milligrams = 1 kilogram. 1 kilogram of ingredient = 500 dollars. To determine the cost per capsule, we must use the relationships above to convert 600 milligrams into dollars: (600 milligrams) * (1 kilogram)/(10⁶ milligrams) * ...” January 7, 2019 GMATGuruNY posted a reply to The numbers of women is singular or plural? in the Sentence Correction forum “percent may serve as a NOUN. Of the students in the class, eighty percent passed the test. Here, eighty percent is a NOUN serving as the subject of passed. twice is a MODIFIER. It cannot serve as the subject of a sentence. Of the students in the class, twice passed the test. The sentence ...” January 7, 2019 GMATGuruNY posted a reply to If f(a*b) = f(a) + f(b), what is the value of f(1)? in the Problem Solving forum “Let a=1 and b=2. Plugging a=1 and b=2 into f(ab) = f(a) + f(b), we get: f(1*2) = f(1) + f(2) f(2) = f(1) + f(2) 0 = f(1). The correct answer is C.” January 7, 2019 Rich.C@EMPOWERgmat.com posted a reply to After her birthday, Fiona had D dollars in gift money. in the Problem Solving forum “Hi VJesus12, We''re told that after her birthday, Fiona had D dollars in gift money. She spent 3/5 of this on an electric skateboard, then she spent 1/3 of what WAS LEFT on a movie passcard, and then finally put the last$80 in the bank. Assuming she made no other purchases with that money, ...”
January 6, 2019
Rich.C@EMPOWERgmat.com posted a reply to In the coordinate geometry plane, point A is the midpoint in the Problem Solving forum
“Hi VJesus12, This question can be solved with a bit of general graphing (you do not need to be hyper-accurate with your drawing to get the correct answer). To start, we''re told that in the coordinate geometry plane, Point A is the midpoint between points (5,8) and (-3, -2). Draw those two ...”
January 6, 2019
Rich.C@EMPOWERgmat.com posted a reply to In the figure above, an equilateral triangle is inscribed in the Problem Solving forum
“Hi VJesus12, We''re told that in the figure above, an EQUILATERAL triangle is inscribed in a circle and the arc bounded by adjacent corners of the triangle is between 4π and 6π long. We''re asked which of the following COULD be the diameter of the circle. As scary as this question might look, ...”
January 6, 2019
GMATGuruNY posted a reply to A store sells erasers for 0.23$per piece and pencil for in the Data Sufficiency forum “Consider the following equation: 5x + 7y = 70. If x and y are nonnegative integers, the following solutions are possible: x=0, y=10 x=7, y=5 x=14, y=0. Notice the following: The value of x changes in increments of 7 (the coefficient for y). The value of y changes in increments of 5 (the ...” January 6, 2019 GMATGuruNY posted a reply to the mixture to make the ratio of milk and water in the new m in the Problem Solving forum “The ratio of milk and water in a mixture is 2:1, Let milk = 2 liters and water = 1 liter. Some quantity of water is added to the mixture to make the ratio of milk and water in the new mixture 1:2. Since the resulting amount of water must be double the original 2 liters of milk, the resulting ...” January 6, 2019 GMATGuruNY posted a reply to Little Texas Drilling Company has three wells, each producin in the Problem Solving forum “Given the answer choices, the prompt should read as follows: A''s rate = (1 barrel)/(2 minutes) * (60 minutes)/(1 hour) = 30 barrels per hour. B''s rate = (1 barrel)/(3 minutes) * (60 minutes)/(1 hour) = 20 barrels per hour. C''s rate = (1 barrel)/(15 minutes) * (60 minutes)/(1 hour) = 15 ...” January 6, 2019 GMATGuruNY posted a reply to If y = |2 + x| - |2 – x| and |2x – 15| < 2, how many in the Problem Solving forum “|a-b| = the distance between a and b |a+b| = |a-(-b)| = the distance between a and -b y = |2 + x| - |2 – x| y = |x+2| - |x-2| y = |x-(-2)| - |x-2| y = the subtraction of two distances: (distance between x and -2) - (distance between x and 2) On the number line: ...” January 5, 2019 GMATGuruNY posted a reply to Seven cars of seven different models are going to park in in the Problem Solving forum “Let the 7 cars be A, B, C, D, P, Q and S. Since P and Q must occupy adjacent positions, consider PQ a single element in the arrangement. The number of ways to arrange the 6 elements A, B, C, D, PQ and S = 6! = 720. In 1/2 of these arrangements, S will be to the LEFT of PQ. In the ...” January 5, 2019 GMATGuruNY posted a reply to Which of the following must be non-negative? in the Problem Solving forum “D: (a-0.9)(a-0.9) = (a-0.9)². The square of a value cannot be negative. The correct answer is D.” January 5, 2019 GMATGuruNY posted a reply to Machine M and Machine N working alone at their constant rate in the Data Sufficiency forum “Statement 1: Case 1: N = 4000 nails per hour, M = 2000 nails per hour Since N''s rate = 4000 nails per hour, the time for N to produce 8000 nails = 8000/4000 = 2 hours. Since M''s rate = 2000 nails per hour, the time for M to produce 6000 nails = 6000/2000 = 3 hours. In this case, M works longer ...” January 5, 2019 GMATGuruNY posted a reply to Each of the 25 balls in a certain box is either red, blue, in the Data Sufficiency forum “Let: W = the total number of white marbles. E = the total number of even marbles. WE = the total number of white even marbles. Statement 1: Thus, WE = 0. No way to determine the value of W or E. INSUFFICIENT. Statement 2: Implication: W-E = (0.2)(25) = 5. Case 1: W=10, E=5, WE=0 ...” January 4, 2019 GMATGuruNY posted a reply to Allison always leaves her office at 5.00pm and reaches her in the Data Sufficiency forum “Statement 2: Brittany always leaves the hotel at exactly 5.30pm. To see the situation more clearly, plug in a value for the distance between the hotel and the office. Let the distance = 6 miles. Since Allison takes 1 hour -- from 5 to 6pm -- to travel the entire distance, Alison''s rate = d/t = ...” January 4, 2019 Rich.C@EMPOWERgmat.com posted a reply to Alice, Benjamin, and Carol each try independently to win a c in the Problem Solving forum “Hi jain2016, Since we have the probabilities of each person winning a game, we can ''map out'' the 3 situations in which 2 of them win and 1 of them loses: A wins, B wins, C loses = (1/5)(3/8)(5/7) = 15/240 A wins, B loses, C wins = (1/5)(5/8)(2/7) = 10/240 A loses, B wins, C wins = ...” January 4, 2019 Rich.C@EMPOWERgmat.com posted a reply to If y = 2 + 2K and y≠0y≠0, then 1/y + 1/y + 1/y + 1/y = ? in the Problem Solving forum “Hi All, We''re told that Y = 2 + 2K and Y ≠ 0. We''re asked for the value of 1/Y + 1/Y + 1/Y + 1/Y. This question can be solved in a number of different ways, including by TESTing VALUES. Since we''re adding four fractions with the SAME denominator, we can just use some basic Arithmetic and ...” January 4, 2019 GMATGuruNY posted a reply to If y = 2 + 2K and y≠0y≠0, then 1/y + 1/y + 1/y + 1/y = ? in the Problem Solving forum “Let k=0, implying that y = 2 + 2*0 = 2. Plugging y=2 into 1/y + 1/y + 1/y + 1/y, we get: 1/2 + 1/2 + 1/2 + 1/2 = 2. The correct answer must yield a value of 2 when k=0. Only B works: 2/(1+k) = 2/(1+0) = 2. The correct answer is B.” January 4, 2019 GMATGuruNY posted a reply to OG Verbal 2016-SC# 63 in the Sentence Correction forum “In my previous response, I provided links to three official examples. This construction seems viable.” January 4, 2019 GMATGuruNY posted a reply to OG Verbal 2016-SC# 63 in the Sentence Correction forum “It is possible for back-to-back modifiers joined solely by a comma to have the same referent. Three examples: http://www.beatthegmat.com/the-hognose-snake-puts-on-an-impressive-bluff-t93558.html http://www.beatthegmat.com/parallelism-issue-t96011.html ...” January 4, 2019 GMATGuruNY posted a reply to In a sports club, 6 players are divided into 3 teams of 2 pl in the Problem Solving forum “The usage of the term arrangements is misleading. The prompt seems intended to ask the following: The first player selected can be paired with any of the 5 other players. Thus, the number of options for the first player selected = 5. At this point, 4 players remain. The next player ...” January 4, 2019 GMATGuruNY posted a reply to This morning, a certain sugar container was full. Since then in the Data Sufficiency forum “The determine the percent decrease, we need to know the RATIO between the remaining amount of sugar after cookie-making and the original amount of sugar. Statement 1: Case 1: Remaining sugar after cookie-making = 10 pounds Since the remaimning amount of sugar would need to increase by 30% to ...” January 3, 2019 GMATGuruNY posted a reply to Is x/y < 0? in the Data Sufficiency forum “Question stem, rephrased: Do x and y have different signs? Statement 1: |x+y| < |x|+|y| Since an absolute value cannot be negative, both sides here are NONNEGATIVE, enabling us to safely square the inequality: (|x+y|)²< (|x|+|y|)² x² + y² + 2xy < x² + y² + 2|x||y| xy < ...” January 3, 2019 GMATGuruNY posted a reply to If the average of four numbers is 35, how many of the in the Data Sufficiency forum “Sum of the 4 numbers = (quantity)(average) = 4*35 = 140. Statement 1: None of the numbers are exactly 3 To save time, check whether it''s possible to get different answers to the question stem while also satisfying Statement 2. Case 1: 0, 33, 33, 74 --> sum = 0+33+33+74 = 140 In this ...” January 3, 2019 GMATGuruNY posted a reply to If a car traveled from Townsend to Smallville at an average in the Data Sufficiency forum “Statement 1: The trip from Townsend to Smallville took 50% longer than the trip from Smallville to Townsend. Case 1: Distance between Townsend and Smallville = 80 miles Time to travel from Townsend to Smallville at a speed of 40 mph = 80/40 = 2 hours. Time to travel from Smallville to Townsend = ...” January 3, 2019 GMATGuruNY posted a reply to On each lab that René completed he received either 100 in the Data Sufficiency forum “Let x = the number of 100-point labs and y = the number of 85-point labs. Question stem, rephrased: What is the value of x? Statement 1: 100x + 85y = 1140 20x + 17y = 228 The value in blue implies the following: Since 20x will have a units digit of 0, 17y must have a UNITS DIGIT OF 8. ...” January 3, 2019 GMATGuruNY posted a reply to Absolute value in the Problem Solving forum “Alternate approach: Since an absolute value cannot be negative -- implying that the right side of the equation must be NONNEGATIVE -- we know that x≥0. If x²-6=x, we get: x²-x-6=0 (x-3)(x+2) = 0 Only the factor in green implies a nonnegative option for x: x-3=0 x=3. The correct ...” January 3, 2019 GMATGuruNY posted a reply to What is the units digit of the number z? in the Data Sufficiency forum “The usage of number implies that we should consider NON-INTEGER values. Both statements are satisfied by z=18.1 and z=19.1 Since the units digit of z can be different values, the two statements combinecd are INSUFFICIENT. The correct answer is E.” January 2, 2019 Rich.C@EMPOWERgmat.com posted a reply to In a stack of boards at a lumber yard, the 20th board counti in the Problem Solving forum “Hi All, Since the answers to the question are all numbers, we can use the answers ''against'' the prompt and TEST THE ANSWERS. Here''s how… Let''s start with Answer B. Answer B: 36 boards IF the number of boards was 36, then the 20th board from the top would be the 17th board from ...” January 1, 2019 Rich.C@EMPOWERgmat.com posted a reply to In a 200 member association consisting of men and women, exa in the Problem Solving forum “Hi All, We''re told that in a 200 member association consisting of men and women, exactly 20% of men and exactly 25 % women are homeowners. We''re asked for the LEAST number of members who are homeowners. This question is built around a couple of Number Properties - and to MINIMIZE the number of ...” January 1, 2019 Rich.C@EMPOWERgmat.com posted a reply to A department store receives a shipment of 1,000 shirts, for in the Problem Solving forum “Hi All, We''re told that a department store receives a shipment of 1,000 shirts, for which it pays$9,000. The store sells the shirts at a price 80 percent above cost for one month, after which it reduces the price of the shirts to 20 percent above cost. The store sells 75 percent of the shirts ...”
January 1, 2019
GMATGuruNY posted a reply to Is √(x+1)^2=x+1 ? in the Data Sufficiency forum
“√(a²) = |a|. Question stem, rephrased: Is |x+1| = x+1? The answer will be YES if x+1 is NONNEGATIVE: x+1≥0 x≥-1. Question stem, rephrased again: Is x≥-1? Statement 1: x=0 or x=2. Since x≥-1 in both cases, the answer to the question stem is YES. SUFFICIENT. Statement 2: ...”
December 31, 2018
GMATGuruNY posted a reply to If f(x)=1-(1/x), then f(f(f(x)))=? in the Problem Solving forum
“Let x=2 and apply the function three times: f(2) = 1 - 1/2 = 1/2. f(1/2) = 1 - 1/(1/2) = -1. f(-1) = 1 - (1/-1) = 2. The correct answer must yield a value of 2 when x=2. Only A works. The correct answer is A.”
December 31, 2018
GMATGuruNY posted a reply to Singular or Plural Verb with None in the Sentence Correction forum
“Any BAG taken on the subway IS subject to search by the police. Any BAGS taken on the subway ARE subject to search by the police. In each of these sentences, any is a MODIFIER describing the subject in blue. In the first sentence, the verb (is) is SINGULAR to match the singular subject in blue. ...”
December 31, 2018
GMATGuruNY posted a reply to Brady, Charlie, and Daryl play on the same baseball team. Th in the Data Sufficiency forum
“Statement 1: No information about Charlie or Daryl. INSUFFICIENT. Statement 2: For every 2 home run hits made by Charlie and Daryl combined, Brady made 4 home run hits, implying that Brady made 4 of every 6 home run hits: 4/6 = 2/3. SUFFICIENT. The correct answer is B.”
December 31, 2018
GMATGuruNY posted a reply to Skier Lindsey Vonn completes a straight 300-meter downhill r in the Problem Solving forum
“Downhill speed - uphill speed = (x+10) - (x-8) = 18. Implication: The downhill speed is 18 mps greater than the uphill speed. We can PLUG IN THE ANSWERS, which represent the downhill speed. Since the downhill speed is 18 mps greater than the uphill speed, the correct answer must be GREATER ...”
December 31, 2018
GMATGuruNY posted a reply to Two dogsled teams raced across a 300 mile course in Wyoming. in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent B''s speed. When the correct answer is plugged in, B''s time - A''s time = 3 hours. For each team: Time = distance/speed = 300/speed. B: B''s speed = 15 mph, implying that A''s speed = 15+5 = 20 mph In this case, B''s time - A''s time = 300/15 - ...”
December 30, 2018
GMATGuruNY posted a reply to In a stack of boards at a lumber yard, the 20th board counti in the Problem Solving forum
“1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 = 16 20 = 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 In the rendering above: The red values represent the number of boards when counting from the TOP. The blue values represent the number of boards when counting from the ...”
December 30, 2018
GMATGuruNY posted a reply to If the original price of an item in a retail store is marked in the Data Sufficiency forum
“Let the original price = 100. Then the markup = (m/100)*100 = m. The resulting price = 100+m. The subsequent discount = d/100*(100+m) = d + md/100 Thus, the total percent change = percent increase - percent decrease = m - d - md/100. For the final price to be greater than the original price, ...”
December 30, 2018
Rich.C@EMPOWERgmat.com posted a reply to If it takes Jacob x hours to complete a project and it in the Problem Solving forum
“Hi All, We''re told that it takes Jacob X hours to complete a project and it takes Mike Y hours to complete the same project. We''re asked for the number of hours it would take them to complete the project if they worked together. This is a great ''concept'' question; if you recognize the ...”
December 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to The employees of Smith Enterprises received wage increases in the Problem Solving forum
“Hi All, We''re told that the employees of Smith Enterprises received wage increases ranging from 30 cents to 87.5 cents per hour. We''re asked for the MAXIMUM wage increase for a 40-hour week. This question comes down to some basic arithmetic (but you might find it faster to do your math in a ...”
December 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to Of the paintings that a certain artist created last year, th in the Problem Solving forum
“Hi All, We''re told that of the paintings that a certain artist created last year, the number of paintings that were UNFRAMED was 5 times the number of paintings that were FRAMED and 48 percent of the UNFRAMED paintings and 30 percent of the FRAMED paintings were SOLD. We''re asked for the ...”
December 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to Before expansion, a zoo had 343 birds in 7 cages. If, after in the Problem Solving forum
“Hi All, We''re told that BEFORE expansion, a zoo had 343 birds in 7 cages and AFTER the expansion was complete, there were 719 birds in 11 cages. We''re asked for the approximate percent increase in the average number of birds per cage. This question is based around a couple of standard math ...”
December 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to Scott takes a trip and drives 6 hours from Town X to Town Z in the Problem Solving forum
“Hi All, We''re told that Scott takes a trip and drives 6 hours from Town X to Town Z at a rate of 50 miles per hour. On his way back, Scott drives 75 miles per hour and stops in Town Y which is MIDWAY between Town X and Town Z. We''re asked for the number of HOURS Scott takes to drive from Town ...”
December 29, 2018
Rich.C@EMPOWERgmat.com posted a reply to A merchant paid $300 for a shipment of x identical in the Problem Solving forum “Hi All, The information in the prompt include a variety of nice ''round'' numbers, so it''s likely that the number of calculators in the shipment is also a round number AND divides evenly into 300. Only two of the answers ''fit'' that idea - 25 and 30, so let''s TEST THE ANSWERS and see if ...” December 29, 2018 GMATGuruNY posted a reply to Mark has fewer than 9 coins. Each coin is either a quarter in the Data Sufficiency forum “Statement 1: To MINIMIZE the number of coins so that a sum of 170 cents is yielded by at most 8 coins, we must MAXIMIZE the number of quarters. Since 7*25 = 175 cents, the number of quarters must be less than 7. 170 cents will be yielded by 6 quarters (totaling 150 cents) and 2 dimes (totaling 20 ...” December 28, 2018 Rich.C@EMPOWERgmat.com posted a reply to Fred has a jarful of nickels, dimes, and quarters, in the ra in the Problem Solving forum “Hi All, We''re told that Fred has a jarful of nickels, dimes, and quarters, in the ratio of 2:5:10, respectively and the total value of these coins is$15.50. We''re asked for the number of DIMES in Fred’s jar. This question is based on ratio rules - and ratios are all about multiples - so you ...”
December 27, 2018
Rich.C@EMPOWERgmat.com posted a reply to A certain bank uses the formula above to approximate the in the Problem Solving forum
“Hi All, We''re asked for the mathematical equivalent of the following formula: $$R=\frac{\frac{24F}{N}}{P+\frac{A}{12}}$$ While the prompt (and the answers) might look ''complex'', the work involved is based on a simple math premise (common denominators), so as long as you are thorough ...”
December 27, 2018
Rich.C@EMPOWERgmat.com posted a reply to What is the largest value of non-negative integer N for in the Problem Solving forum
“Hi All, We''re asked for the largest value of N for which 10^N is a factor of 50! This question comes down to ''prime factorization'' and requires a degree of thoroughness on your part (to make sure that you find all of the 10s in 50!) To start, 50! = (50)(49)(48)(47)(46)(45).....(3)(2)(1), ...”
December 27, 2018
Rich.C@EMPOWERgmat.com posted a reply to A retailer sells pashminas at a ten percent discount. If a in the Problem Solving forum
“Hi All, We''re told that a retailer sells pashminas at a ten percent discount, a pashmina COST him $75 and he wants to make a profit of no less than twenty percent on the COST (after the discount). We''re asked for the minimum tag price he needs to put on a pashmina. To start, this question ...” December 27, 2018 Rich.C@EMPOWERgmat.com posted a reply to HELP!!! Very POOR VERBAL score. in the Suggestions and Feedback forum “Hi Linda, Many Test Takers spend 3 months (or more) of consistent study time before they hit their ''peak'' scores, so you shouldn''t feel too down about this performance if you studied for just 6 weeks (and primarily just on the weekends). Thankfully, the GMAT is a consistent, predictable Exam, ...” December 27, 2018 GMATGuruNY posted a reply to Pumping alone at their respective constant rates, one inlet in the Problem Solving forum “Let the tank = 36 gallons. Since the first pipe takes 3 hours to fill 1/2 the tank -- and (1/2)(36) = 18 gallons -- the rate for the first pipe = w/t =18/3 = 6 gallons per hour. Since the second pipe takes 6 hours to fill 2/3 of the tank -- and (2/3)(36) = 24 gallons -- the rate for the second ...” December 27, 2018 GMATGuruNY posted a reply to Solution A is 20% salt and Solution B is 80% salt. If you in the Problem Solving forum “Since the desired salt percentage -- 50% -- is HALFWAY between the salt percentages for A and B (20% and 80%), the resulting solution must contain equal amounts of A and B. The correct answer is C.” December 27, 2018 GMATGuruNY posted a reply to If the ratio of the price of 1 kilogram Camembert cheese to in the Data Sufficiency forum “What is the value of T-C? Statement 1: T:B = 4:5. To combine T:B = 4:5 and C:B = 5:8, the element common to both ratios -- B -- must be represented by the SAME VALUE in each: T:B = 4:5 = 32:40. C:B = 5:8 = 25:40. Combining the two ratios, we get: C:T:B = 25:32:40. Case 1: T=32 and C=25, ...” December 26, 2018 Rich.C@EMPOWERgmat.com posted a reply to A set of 15 different integers has median of 25 and a range in the Problem Solving forum “Hi All, When it comes to maximizing or minimizing a value in a group of numbers, you have to think about what the other numbers would need to be to accomplish your goal. Here, we have a group of 15 DISTINCT (meaning DIFFERENT) integers with a median of 25 and a RANGE of 25. That range will ...” December 26, 2018 Rich.C@EMPOWERgmat.com posted a reply to A certain punch contains grape juice, orange juice, and in the Problem Solving forum “Hi All, We''re told that a certain punch contains grape juice, orange juice, and pineapple juice and no other ingredients in a ratio of 2:3:7 respectively and a bowl contains 156 total ounces of this punch. We''re asked for the number of ounces of grape juice in the punch. This question can be ...” December 26, 2018 GMATGuruNY posted a reply to In a village of 100 households, 75 least one DVD player, 80 in the Problem Solving forum “Let D = DVD owners, C = cellphone owners, and M = MP3 owners. T = D + C + M - (DC + DM + CM) - 2(DCM). The big idea with overlapping group problems is to SUBTRACT THE OVERLAPS. When we add together everyone in D, everyone in C, and everyone in M: Those in exactly 2 of the groups (DC + DM + ...” December 26, 2018 GMATGuruNY posted a reply to A certain punch contains grape juice, orange juice, and in the Problem Solving forum “The sum of the parts of the ratio = 2+3+7 = 12. Thus -- of every 12 ounces -- 2 ounces are grape juice, 3 ounces are orange juice, and 7 ounces are pineapple juice. Since grape juice constitutes 2 of every 12 ounces, the amount of grape juice is equal to 2/12 of the total: (2/12)(156) = 2*13 = ...” December 26, 2018 GMATGuruNY posted a reply to If x is a factor of positive integer y, then which of the fo in the Problem Solving forum “Strategy: Try to show that four of the answer choices do NOT have to be positive. Case 1: x=1 and y=1 In this case, A, B and D are not positive. Eliminate A, B and D. Case 2: x=1 and y=2 In this case, C is not positive. Eliminate C. The correct answer is E.” December 26, 2018 GMATGuruNY posted a reply to The sum of 4 different odd integers is 64. What is the value in the Data Sufficiency forum “Statement 1: Since the numbers are EVENLY SPACED, median = sum/count: 64/4 = 16. Since the median = 16, the 4 odd integers must be as follows: 13, 15, 17, 19. Thus, the greatest of the 4 odd integers = 19. SUFFICENT. Statement 2: The 4 odd integers yielded by Statement 1 -- 13, 15, 17, 19 ...” December 26, 2018 GMATGuruNY posted a reply to If x^2+y^2=28 and xy=11, what is the value of (x+y)^2? in the Problem Solving forum “Every test-taker should know the following quadratic identities: (x+y)² = x² + y² + 2xy (x-y)² = x² + y² - 2xy (x+y)(x-y)² = x² - y² Substituting x²+y²=28 and xy=11 into (x+y)² = x² + y² + 2xy, we get: (x+y)² = 28 + 2*11 = 50. The correct answer is C. An alternate ...” December 25, 2018 GMATGuruNY posted a reply to There are 10 books on a shelf: 5 English books, 3 Spanish bo in the Problem Solving forum “P(2 different languages) = 1 - P(2 of the same language). Case 1: P(2 English books are selected) P(1st book is English) = 5/10. (Of the 10 books, 5 are English.) P(2nd book is English) = 4/9. (Of the 9 remaining books, 4 are English.) To combine these probabilities, we multiply: 5/10 * 4/9 = ...” December 25, 2018 Rich.C@EMPOWERgmat.com posted a reply to The sum of the weekly salaries of 5 employees is$3,250. If in the Problem Solving forum
“Hi All, We''re told that the SUM of the weekly salaries of 5 employees is $3,250 and that each of the 5 salaries is to increase by 10 percent. We''re asked for the AVERAGE increase in weekly salary per employee. This question ultimately comes down to working through some arithmetic, but ...” December 24, 2018 Rich.C@EMPOWERgmat.com posted a reply to 90 Day Flexible Plan for a decent verbal/low quant old score in the GMAT Strategy forum “Hi LDCross, For free math practice and help, I recommend that you set up an account at Khan Academy (www.khanacademy.org). The site is completely free and makes the learning a bit more fun and ''game-like'' (as opposed to the dry academic approach taken by most books). While the site is vast, ...” December 24, 2018 GMATGuruNY posted a reply to If the farmer sells 75 of his chickens, his stock of feed wi in the Problem Solving forum “Total amount of feed = (number of chickens)(number of days). The number of chickens is INVERSELY PROPORTIONAL to the number of days. If the number of chickens DOUBLES, then the feed will last for 1/2 the number of days. If the number of chickens TRIPLES, then the feed will last for 1/3 the ...” December 24, 2018 Rich.C@EMPOWERgmat.com posted a reply to A plane traveled k miles in its first 96 minutes of flight in the Problem Solving forum “Hi All, We''re told that a plane traveled K miles in its first 96 minutes of flight time and it completed the remaining 300 miles of the trip in T minutes. We''re asked for the average speed of the plane, in miles per hour, for the entire trip. This question can be solved by TESTing VALUES. ...” December 23, 2018 GMATGuruNY posted a reply to While driving on a highway, Harry and Ron crossed checkpoint in the Problem Solving forum “9am-10am: Since Harry reaches checkpoint P at 9am -- and travels at rate of 30 mph -- from 9am to 10am Harry travels 30 miles beyond checkpoint P. Thus, when Ron reaches checkpoint P at 10am, he is 30 miles behind Harry. Checkpoint Q: When people compete, SUBTRACT THEIR RATES. Every hour Ron ...” December 23, 2018 Rich.C@EMPOWERgmat.com posted a reply to A scientist has 400 units of a 6% phosphoric acid solution, in the Problem Solving forum “Hi All, While an Algebra approach (using the "weighted average" formula) would work nicely on this prompt, you can also answer it rather quickly by TESTing THE ANSWERS and using a bit of logic. Here, we''re going to mix 400 ounces of a 6% acid solution with X ounces of a 12% acid ...” December 22, 2018 Rich.C@EMPOWERgmat.com posted a reply to Two water pumps, working simultaneously at their respective in the Problem Solving forum “Hi All, This is an example of a Work Formula question. Any time you have two entities (people, machines, water pumps, etc.) working on a job together, you can use the following formula: (AB)/(A+B) = Total time to do the job together Here, we''re told that the total time = 4 hours and ...” December 22, 2018 Rich.C@EMPOWERgmat.com posted a reply to Two trees have a combined height of 60 feet, and the taller in the Problem Solving forum “Hi All, We''re told that two trees have a combined height of 60 feet and the taller tree is X times the height of the shorter tree. We''re asked to find the height of the shorter tree in terms of X. This question can be approached in a couple of different ways, including by TESTing VALUES. IF ...” December 22, 2018 GMATGuruNY posted a reply to Work/Rate in the Data Sufficiency forum “Let J = the number of hours that John works. Since John assembles 3 chairs per hour, the number of chairs assembled by John = 3J. Let L = the number of hours that Larry works. Since Larry assembles 4 chairs per hour, the number of chairs assembled by Larry = 4L. Since John and Larry work a total ...” December 21, 2018 GMATGuruNY posted a reply to Five friends - Ross, Phoebe, Chandler, Joey and Monica - in the Problem Solving forum “Number of options for Phoebe = 1. (Must be Margherita.) Number of options for Ross = 3. (Of the 4 remaining pizzas, any but Hawaiian.) Number of options for Chandler = 3. (Any of the 3 remaining pizzas.) Number of options for Joey = 2. (Either of the 2 remaining pizzas.) Number of options for ...” December 21, 2018 Rich.C@EMPOWERgmat.com posted a reply to A certain company charges$6 per package to ship packages in the Problem Solving forum
“Hi All, We''re told that a certain company charges $6 per package to ship packages weighing less than 2 pounds each. However, for a package weighing 2 pounds or more, the company charges an initial fee of$6 plus $2 per pound. We''re told that a certain package cost$38 to ship. We''re asked for ...”
December 20, 2018
Rich.C@EMPOWERgmat.com posted a reply to One woman and one man can build a wall together in two hours in the Problem Solving forum
“Hi All, Each of the other explanations explains the ''math'' behind this prompt, so I won''t rehash any of that here. Instead, I want to talk about the ''patterns'' behind this question, and how you can answer it without doing much math at all. To start, we have to sort through a lot of ...”
December 20, 2018
Rich.C@EMPOWERgmat.com posted a reply to Before being simplified, the instructions for computing in the Problem Solving forum
“Hi All, This question can be solved by TESTing VALUES. I''m going to use the variable "J" instead of an "I" (since that might be mistaken for the number 1)... We''re told to add "2% of one''s income" to "the average of 100 and 1% of one''s income" ...”
December 20, 2018
Rich.C@EMPOWERgmat.com posted a reply to At the Trenchard Oaks apartment complex, a two-bedroom apart in the Problem Solving forum
“Hi All, We''re told that a two-bedroom apartment costs 50% more to rent than a one-bedroom apartment. If Alex were to rent a two-bedroom apartment for X months it would cost him the same amount as it would to rent a one-bedroom for 12 months. We''re asked for the value of X. This question can be ...”
December 20, 2018
Rich.C@EMPOWERgmat.com posted a reply to 90 Day Flexible Plan for a decent verbal/low quant old score in the GMAT Strategy forum
“Hi LDCross, This 610 is a strong initial CAT Score (the average Score on the Official GMAT hovers around 550 most years) - and your Verbal Scaled Score is fantastic. As such, you might just need to put the proper focus/effort into building up your Quant knowledge and learning/practicing the ...”
December 20, 2018
GMATGuruNY posted a reply to At the Trenchard Oaks apartment complex, a two-bedroom apart in the Problem Solving forum
“Let the monthly rent for a one-bedroom apartment = $2, implying that the monthly rent for a two-bedroom apartment = 2 + (50% of 2) = 2 + 1 =$3. Since the monthly rent for a one-bedroom apartment = $2, the total amount required to rent a one-bedroom apartment for 12 months = 2*12 = 24. If Alex ...” December 20, 2018 GMATGuruNY posted a reply to absolute value in the Problem Solving forum “The CRITICAL POINTS are where the expressions inside the absolute values are equal to 0. x+5 = 0 when x=-5. Substituting x=-5 into y = |x+5|-|x-5|, we get: y = |-5+5| - |-5-5| = 0-10 = -10. x-5 = 0 when x=5. Substituting x=5 into y = |x+5|-|x-5|, we get: y = |5+5| - |5-5| = 10-0 = ...” December 19, 2018 GMATGuruNY posted a reply to One woman and one man can build a wall together in two hours in the Problem Solving forum “One woman and one man can build a wall together in two hours, but the woman would need the help of two girls in order to complete the same job in the same amount of time. Since replacing 1 man with 2 girls does not change the amount of time required to complete the job, 1 man is the equivalent of 2 ...” December 19, 2018 GMATGuruNY posted a reply to At garage sale, all of the prices of the items sold were in the Problem Solving forum “Since the radio = 15th highest price, 14 prices are HIGHER: RADIO-----14 higher prices-----> Since the radio = the 20th lowest price, 19 prices are LOWER: <-----19 lower prices-----RADIO-----14 higher prices----> Total number of items = 19 + RADIO + 14 = 34. The correct answer is ...” December 19, 2018 Rich.C@EMPOWERgmat.com posted a reply to In the set of positive integers from 1 to 500, what is the s in the Problem Solving forum “Hi All, We''re asked for the sum of all the ODD multiples of 5 from 1 to 500. This question is essentially about Arithmetic and can be solved with ''bunching.'' There are 100 multiples of 5 between 1 and 500: 1(5)..... (100)(5), but the question asks for only the ODD multiples of 5 (meaning ...” December 18, 2018 GMATGuruNY posted a reply to x and y are positive integers. Is y an even integer? in the Data Sufficiency forum “The product of two consecutive integers is always EVEN: 1*2 = 2 2*3 = 6 3*4 = 12 Statement 1: y+2 = x² + x y+2 = x(x+1) y+2 = product of 2 consecutive integers y+2 = EVEN y = EVEN - 2 y = EVEN - EVEN y = EVEN SUFFICIENT. Statement 2: No information about y. INSUFFICIENT. The ...” December 18, 2018 GMATGuruNY posted a reply to (0.0004)(0.000005)/200,000 is equal to which of the followin in the Problem Solving forum “I believe that the answer choices should appear as shown below: The blue values below cancel out, leaving only the red values: (4 * 10¯⁴)(5 * 10¯⁶) / (20 * 10⁴) = 10¯¹⁰/10⁴ = 10¯¹⁴. The correct answer is B.” December 18, 2018 GMATGuruNY posted a reply to Sanjana jogged uphill for a while at an average speed of 3 m in the Problem Solving forum “This is a MIXTURE problem. Two speeds (3 mph and 8 mph) are combined to form a mixture with an average speed of 4 mph. To determine how much time must be spent at each speed, we can use ALLIGATION. Let U = the uphill speed and D = the downhill speed. Step 1: Plot the 3 speeds on a number ...” December 18, 2018 Rich.C@EMPOWERgmat.com posted a reply to Seven students are trying out for the school soccer team, on in the Problem Solving forum “Hi alanforde800Maximus, This question uses what''s called "Formal Logic" (a concept that you would see repeatedly on the LSAT, but rarely on the GMAT). You can answer it with some drawings and careful note-taking. Based on the information in the prompt, we have seven players ...” December 17, 2018 Rich.C@EMPOWERgmat.com posted a reply to Pam and Robin each roll a pair of fair, six-sided dice. What in the Problem Solving forum “Hi alanforde800Maximus, This is a tougher probability question than average (and you likely will not see this exact situation on Test Day). This is meant to say that you shouldn''t be too concerned about this prompt until you''re picking up points in all the other ''gettable'' areas first. ...” December 17, 2018 Rich.C@EMPOWERgmat.com posted a reply to If every boy in a kindergarten class buys a soda and every g in the Problem Solving forum “Hi alanforde800Maximus, This is a thick, layered question, and would likely take most Test Takers more time than average to solve correctly. The key to solving it is to realize that we don''t know the prices of each soda and each juice box - they MIGHT be integers, but they MIGHT NOT. Also, we ...” December 17, 2018 Rich.C@EMPOWERgmat.com posted a reply to Post-First Exam: What are my next steps? in the GMAT Strategy forum “Hi andyaf, In your prior posts, you did not offer much information about your overall goals (other than that your Goal Score was 750+). Before I can offer you any additional advice, it would help if you could provide a bit more information on your timeline and your goals: 1) Is your Goal ...” December 17, 2018 Rich.C@EMPOWERgmat.com posted a reply to 90 Day Flexible Plan for a decent verbal/low quant old score in the GMAT Strategy forum “Hi LDCross, Earlier this year, GMAC made a formal announcement defining some changes that would be taking place to the format of the Official GMAT (which began April 16, 2018). These changes primarily impact the overall length of the Exam (meaning the number of questions in the Quant and Verbal ...” December 17, 2018 GMATGuruNY posted a reply to If 2 and 17 are factors of positive integer n, then which of in the Problem Solving forum “2 and 17 have no factors in common. Since n must be divisible by both 2 and 17 -- and 2*17 = 34 -- n must be a MULTIPLE OF 34. Thus, n must be divisible by I. Eliminate any answer choice that does not include I. Eliminate B and E. If n=34, then n is not divisible by II or III. Eliminate any ...” December 17, 2018 GMATGuruNY posted a reply to Seven students are trying out for the school soccer team, on in the Problem Solving forum “To keep track of the number of options for each position, draw a TREE. Start with the MOST RESTRICTED position, which is SWEEPER. If Sweeper = 3, then Goalie = 5. If Sweeper = 4, then Fullback = 2. Here''s the tree so far: http://s11.postimage.org/laxnlsbof/soccer_half_tree.jpg Now complete ...” December 17, 2018 GMATGuruNY posted a reply to In a network of car dealerships, a group of d sales director in the Data Sufficiency forum “A group...EACH has a team. The wording above does not convey a logical meaning. When each serves as an adverb, it cannot refer to a singular noun such as a group. When each serves as an adverb, it may refer only to a PLURAL noun. The prompt seems intended to convey the following: Since ...” December 16, 2018 GMATGuruNY posted a reply to If one manual weighs 400 grams, how many kilograms does a in the Problem Solving forum “48 manuals * (400 grams)/(1 manual) * (1 kilogram)/(1000 grams) = (48*400)/1000 = 192/10 = 19.2 kilograms.” December 16, 2018 GMATGuruNY posted a reply to When the positive integer x is divided by 9, the remainder in the Problem Solving forum “Let x=5, since dividing 5 by 9 yields a remainder of 5: 5/9 = 0 R5. When 3x=15 is divided by 9, we get: 15/9 = 1 R6. The correct answer is E.” December 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to In 1991, the price of a house was 80% of its original price. in the Problem Solving forum “Hi All, We''re told that in 1991, the price of a house was 80% of its original price and in 1992, the price of the house was 60% of its original price. We''re asked by what percent the price of the house decreased from 1991 to 1992. This question can be solved in a couple of different ways, ...” December 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to A mathematician has devised a formula that produces a series in the Problem Solving forum “Hi All, In this question, we''re given the ''rules'' for a particular sequence. We have the values of the first 3 terms and instructions for how to calculate each term afterwards (re: the 4th term is the sum of TWICE the term before it and the term ''2 terms'' before it - re: 2(3rd term) + 2nd ...” December 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to Each Machine of type A has 3 steel parts and 2 chrome parts. in the Problem Solving forum “Hi All, We''re told that each Machine of type A has 3 steel parts and 2 chrome parts, each machine of type B has 4 steel parts and 7 chrome parts and a certain group of type A and type B machines has a total of 20 steel parts and 22 chrome parts. We''re asked for the total number of machines. ...” December 16, 2018 Rich.C@EMPOWERgmat.com posted a reply to The main ingredient in a certain prescription drug capsule in the Problem Solving forum “Hi All, We''re told that the main ingredient in a certain prescription drug capsule cost$500 per kilogram. If each capsule contains 600 milligrams of ingredient, what is the cost of the ingredient in a capsule? (1 kilogram = 10^6 milligrams). This is a ''unit conversion'' question and comes ...”
December 16, 2018
Rich.C@EMPOWERgmat.com posted a reply to how to ace GMAT in the GMAT Strategy forum
“Hi Sana Mehra, Before I can offer you the specific advice that you’re looking for, it would help if you could provide a bit more information on how you''ve been studying and your goals: Studies: 1) What type of study routine have you followed? How many hours do you typically study each ...”
December 16, 2018
GMATGuruNY posted a reply to The main ingredient in a certain prescription drug capsule in the Problem Solving forum
“Each capsule contains 600 milligrams of ingredient. 10⁶ milligrams = 1 kilogram. 1 kilogram of ingredient = 500 dollars. To determine the cost per capsule, we must use the relationships above to convert 600 milligrams into dollars: (600 milligrams) * (1 kilogram)/(10⁶ milligrams) * (500 ...”
December 15, 2018
GMATGuruNY posted a reply to Each Machine of type A has 3 steel parts and 2 chrome parts. in the Problem Solving forum
“(3 steel parts in each type A machine) + (4 steel parts in each type B machine) = 20 steel parts: 3A + 4B = 20 3A = a multiple of 3 less than 20. Options for 3A: 3, 6, 9, 12, 15, 18 4B = a multiple of 4 less than 20. Options for 4B: 4, 8, 12, 16 Only the two values in blue yield a sum ...”
December 15, 2018
GMATGuruNY posted a reply to Did Jeff record more sales revenue this month than Dan did? in the Data Sufficiency forum
“Statement 1: For every $100 commission that Dan earns, Jeff earns$120 in commission. Since the commission rates for Dan and Jeff are unknown, no way to determine whether Jeff recorded more sales revenue than Dan. INSUFFICIENT. Statement 2: Since Jeff''s sales and Dan''s sales can be any ...”
December 14, 2018
GMATGuruNY posted a reply to If sets A and B have the same number of terms, is the standa in the Data Sufficiency forum
“Standard deviation describes how much the values in a set deviate from the mean. A larger standard deviation indicates that the values are deviating more -- getting farther away from -- the mean. So the question can be rephrased: Do the values in set A deviate more from the mean than the do ...”
December 14, 2018
GMATGuruNY posted a reply to Is (y−10)^2>(x+10)^2? ----Veritas in the Data Sufficiency forum
“x² < y² can be rephrased as follows: |x| < |y| Thus, the question stem can be rephrased as follows: Is |x+10| < |y-10|? |a-b| = the distance between a and b |a+b| = |a-(-b)| = the distance between a and -b Thus, the question stem can be further rephrased as follows: Is the ...”
December 14, 2018
GMATGuruNY posted a reply to Three congruent circles overlap in such a way that each circ in the Problem Solving forum
“The statement above is incorrect. https://i.postimg.cc/jL1NMjTL/three-congruent-circles-shaded-region.png The shaded region encompassing the equilateral triangle is not a circle.”
December 13, 2018
GMATGuruNY posted a reply to Three congruent circles overlap in such a way that each circ in the Problem Solving forum
“Area of an equilateral triangle = (s²/4)√3. √3 ≈ 1.7. https://i.postimg.cc/1gCbnSTK/three-congruent-circles.png Each circle has a radius of 8, yielding the equilateral triangle above. Area of the equilateral triangle = (8²/4)√3 = 16√3 ≈ (16)(1.7) = 27. The three circles form ...”
December 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to Test day in the GMAT Strategy forum
December 13, 2018
Rich.C@EMPOWERgmat.com posted a reply to Test day in the GMAT Strategy forum
“Hi Esteban, Is your Official Score in the ''competitive range'' of what those Schools are looking for? If it''s not, and you want to retest, then you''ll have to be really efficient with the time that you have remaining before the Round 2 application deadlines. You might choose to purchase ...”
December 13, 2018
GMATGuruNY posted a reply to A baseball team’s season consists of playing 162 games. At in the Problem Solving forum
“The team has won 58 percent of the games it has played. 58% = 58/100 = 29/50. The fraction in blue implies that the number of wins must be a MULTIPLE OF 29: If 50 games are played, the number of wins = (29/50)(50) = 29. If 100 games are played, the number of wins = (29/50)(100) = 58. If 150 ...”
December 12, 2018
Rich.C@EMPOWERgmat.com posted a reply to If the ratio of the present age of Anna and Paula is 1 : 2, in the Problem Solving forum
“Hi All, We''re told that the ratio of Anna''s and Paula''s CURRENT ages is 1:2. We''re asked which of the following COULD have been the ratio of their respective ages 8 years ago. This question can be solved in a couple of different ways, including by ''brute force'' Arithmetic. Since we''re ...”
December 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to The table above shows the number of students in three clubs in the Problem Solving forum
“Hi All, 3-Group Overlapping Sets questions are relatively rare on the Official GMAT (you likely will NOT see this version of Overlapping Sets on Test Day). However, there is a formula that you can use to solve it. Total = (1st group) + (2nd group) + (3rd group) - (1st and 2nd) - (1st and ...”
December 11, 2018
Rich.C@EMPOWERgmat.com posted a reply to Test day in the GMAT Strategy forum
“Hi Esteban, How did you Score (including the Quant and Verbal Scaled Scores)? And are you planning to apply soon (sometime in the next couple of months)? GMAT assassins aren''t born, they''re made, Rich”
December 11, 2018
GMATGuruNY posted a reply to Effect of several Tsunamis in the Sentence Correction forum
“A method is a PROCEDURE for accomplishing a particular goal. Since the clause in red does not discuss a procedure, it cannot be summed up as a METHOD.”
December 11, 2018
GMATGuruNY posted a reply to Effect of several Tsunamis in the Sentence Correction forum
“The SC above is modeled -- not altogether successfully -- after SC30 in the OG12: https://www.beatthegmat.com/not-sure-about-the-answer-of-a-question-from-og12-t265701.html Rather than study the SC above, stick to the official SC.”
December 11, 2018
GMATGuruNY posted a reply to The table above shows the number of students in three clubs in the Problem Solving forum
“The values in the chart DOUBLE-COUNT any student who belongs to 2 of the 3 clubs. The totals for chess and drama -- 40 and 30 -- double-count the 10 students who belong to both chess AND drama. The totals for chess and math -- 40 and 25 -- double-count the 5 students who belong to both chess AND ...”
December 11, 2018
GMATGuruNY posted a reply to This year, a woman has a lucrative one-year position. During in the Problem Solving forum
“Let r=9, with the result that 1+r = 10. Her husband can turn each dollar she gives him into 1+r, which will be deposited in a bank account. Let the wife give the husband $1, implying that the husband turns this$1 into 1+r = $10. Thus, the amount deposited into the account =$10. The ...”
December 11, 2018
GMATGuruNY posted a reply to Line DB divides Rectangle ABCD into two equal triangles. Is in the Data Sufficiency forum
“Yes, the line will be a diagonal, but the four angles created by this diagonal will each be 45 degrees only if the rectangle is a square.”
December 10, 2018
GMATGuruNY posted a reply to What is the solution set of (1+|x|)(1+x) > 0? in the Problem Solving forum
“x=0 satisfies (1+|x|)(1+x) > 0. Since x=0 is not included in B, C, D or E, eliminate B, C, D and E. The correct answer is A.”
December 10, 2018
GMATGuruNY posted a reply to Tom drives from town A to town B, driving at a constant spee in the Problem Solving forum
“Let the distance between A and B = 120 miles. Since the 120-mile distance between A and B is twice the distance between B and C, the distance between B and C = 60 miles, implying that the total distance = 120+60 = 180 miles. Since the average speed for the 120-mile leg between A and B = 60 ...”
December 10, 2018
Rich.C@EMPOWERgmat.com posted a reply to Test day in the GMAT Strategy forum
“Hi Esteban, The Program has a searchable database, so you don''t have to memorize any codes for the Schools that you want to send your Official GMAT Score to. Is your Official Test Date coming up (and when are you scheduled to take the Test?)? GMAT assassins aren''t born, they''re made, Rich”
December 10, 2018
Rich.C@EMPOWERgmat.com posted a reply to When 6 is multiplied by x, the result is the same as when x in the Problem Solving forum
“Hi All, We''re told that when 6 is multiplied by X, the result is the SAME as when X is added to 9. We''re asked for the value of X/3. When dealing with GMAT questions, it''s important to make sure that you answer the question that is ASKED. Here, we''re NOT asked for the value of X, we''re ...”
December 9, 2018
GMATGuruNY posted a reply to If the average (arithmetic mean) of five consecutive negativ in the Problem Solving forum
“The value of k is irrelevant. For any set of 5 consecutive integers, the difference between the greatest and least will always be 4. The correct answer is A.”
December 9, 2018
GMATGuruNY posted a reply to Three photographers, Lisa, Mike and Norm, take photos of a w in the Problem Solving forum
“The sum for Lisa and Mike is 50 less than the sum for Norm and Mike. Since Mike is common to both sums, the 50-photo difference must be yielded solely by Lisa and Norm. Implication: Lisa took 50 fewer photos than Norm. We can PLUG IN THE ANSWERS, which represent the number of photos taken ...”
December 9, 2018
GMATGuruNY posted a reply to Andrew sells vintage clothing at a flea market at which he in the Problem Solving forum
“Let h=3. Since an average of $78 is sold per hour, the total revenue for 3 hours = 3*78 = 234. Since the cost for the day is composed of$150 for the table rental and $10 per hour for the assistant, the cost for the day = 150 + 3*10 = 180. P = profit = revenue - cost = 234 - 180 = 54. The ...” December 9, 2018 GMATGuruNY posted a reply to OG2019 -Logical flow in the Critical Reasoning forum “It takes for granted that X implies that X is an ASSUMPTION: a statement that must be true for the conclusion to hold. Thus, when X is negated, the conclusion must be invalidated. B: It takes for granted that the volunteers with the highest levels of self-esteem had better social skills than did ...” December 8, 2018 GMATGuruNY posted a reply to OG2019 -Logical flow in the Critical Reasoning forum “Premise: Volunteers with the highest levels of self-esteem consistently rated themselves as having much better social skills than did the volunteers with moderate levels. Conclusion: Attaining an exceptionally high level of self-esteem greatly improves one’s social skills. The correct answer ...” December 8, 2018 GMATGuruNY posted a reply to 2k years ago Frank was 3k years old. In k years Frank's age, in the Problem Solving forum “Let k=10. 2k years ago Frank was 3k years old. Since k=10, 20 years ago Frank was 30 years old, implying that his age now = 30+20 = 50. In k years Frank''s age, in years, will be: Since Frank is now 50 years old, Frank''s age in 10 years = 50+10 = 60. The correct answer must yield a value ...” December 7, 2018 GMATGuruNY posted a reply to Which of the following equations is satisfied by x=1+√2? in the Problem Solving forum “Alternate approach: For any quadratic in the form x² + bx + c = 0, where b and c are rational numbers: If one of the roots is m+√n, then the other root is m-√n. Sum of the roots = -b Product of the roots = c Here, since one of the roots is 1+√2, the other root is 1-√2. Thus: -b ...” December 7, 2018 Rich.C@EMPOWERgmat.com posted a reply to During a special promotion, a certain filling station is off in the Problem Solving forum “Hi All, We''re told that during a special promotion, a certain filling station is offering a 10 percent discount on gas purchased AFTER the first 10 gallons. Kim purchased 20 gallons of gas, and Isabella purchased 25 gallons of gas. We''re asked for Isabella''s total PER-GALLON DISCOUNT as a ...” December 7, 2018 GMATGuruNY posted a reply to Each day at Dan’s new job, he earns$10 more than the day in the Data Sufficiency forum
“Since each payday is $10 more than the preceding payday, the list of 15 paydays constitutes an EVENLY SPACED SET. Statement 1: For any evenly spaced set: Median = Sum/Quantity. Thus: Pay on the 14th day = median of the 3 most recent days = sum/quantity = 690/3 = 330. Since the pay on the ...” December 6, 2018 GMATGuruNY posted a reply to Tom saved$10,000 at a constant compound interest rate of r in the Problem Solving forum
“Original deposit: 10,000. The balance doubles every 10 years. After 10 years, we get: 2*10,000 = 20,000. After 20 years, we get: 2*20,000 = 40,000. After 30 years, we get: 2*40,000 = 80,000. The correct answer is E.”
December 6, 2018
GMATGuruNY posted a reply to If a, b, and c are positive integers such that a < b < in the Data Sufficiency forum
“Does (a/100) * (b/100) * c = integer? Test integer values such that a < b < c. Statement 1: b = (a/100)¯¹ Thus, b = 100/a. Test the smallest possible value for a. Case 1: a=1 Here, b =100/1 = 100. In this case, (a/100) * (b/100) * c = 1/100 * 100/100 * c = c/100. If c ...”
December 5, 2018
Rich.C@EMPOWERgmat.com posted a reply to 190 students go to a school bake sale. 95 buy a chocolate in the Problem Solving forum
“Hi All, We''re told that 190 students go to a school bake sale. Of those students, 95 buy a chocolate chip cookie, 75 buy a peanut butter cookie, and AT LEAST 12 buy both. We''re asked for the LEAST number of students who could have bought NEITHER type of cookie. This question is a variation on ...”
December 5, 2018
Rich.C@EMPOWERgmat.com posted a reply to What is the difference between the number of three-member in the Problem Solving forum
“Hi All, To start, I agree with Brent; the wording of this prompt is ''clunky'' - and the GMAT writers word their questions in a far more rigorous and specific fashion than what we see here. That having been said, the basic concepts involved here are Combinations and Permutations. We''re ...”
December 5, 2018
Rich.C@EMPOWERgmat.com posted a reply to Mr. McCall selects a number that is two-digit and positive. in the Problem Solving forum
“Hi All, We''re told that Mr. McCall selects a number that is two-digit and positive: If the number is prime, then he assigns that many problems for homework. If the number is NOT prime, then he assigns 8 MORE problems than the number for homework. We''re told he assigns 97 problems for homework. ...”
December 5, 2018
GMATGuruNY posted a reply to If a, b, and c are positive integers, what is the remainder in the Data Sufficiency forum
“Statement 1: No information about b. INSUFFICIENT. Statement 2: No information about a. INSUFFICIENT. Statements combined: Case 1: c=3, with the result that a=3³=27 and that b=(3-2)³=1 In this case, a-b = 27-1 = 26. Dividing 26 by 6, we get: 26/6 = 4 R2 Case 2: c=4, with the ...”
December 5, 2018
GMATGuruNY posted a reply to If w, x, and y are consecutive odd positive integers and w & in the Problem Solving forum
“Test easy cases: 5-3-1 = 1 7-5-3 = -1 The case in green indicates that -1 is a possible value of y-x-w. The correct answer is C.”
December 5, 2018
GMATGuruNY posted a reply to x is a positive number. What is the median of x, √x and x^ in the Data Sufficiency forum
“To determine the median of x, √x and x², we need to know the value of x. Statement 1: Since x is positive, we can safely divide both sides by x: x²/x = x/x x = 1 SUFFICIENT. Statement 2: x² + x + 1 = 3x x² - 2x + 1 = 0 (x-1)² = 0 x = 1 SUFFICIENT. The correct answer is D.”
December 5, 2018
GMATGuruNY posted a reply to A triangle is formed by connecting three randomly chosen ver in the Problem Solving forum
“Let the 6 vertices = A, B, C, D, E and F. P(the triangle includes AT LEAST 1 side of the hexagon) = 1 - P(the triangle includes NO sides of the hexagon). From the 6 vertices, the number of ways to choose 3 to form a triangle = 6C3 = (6*5*4)/(3*2*1) = 20. Of these 20 triangles, only 2 include ...”
December 5, 2018
Rich.C@EMPOWERgmat.com posted a reply to If s and t are two different numbers on the number line, is in the Data Sufficiency forum
“Hi All, We''re told that S and T are two DIFFERENT numbers on the number line. We''re asked if S + T = 0. This is a YES/NO question and can be solved by TESTing VALUES and a bit of Number Property logic. 1) The distance between S and 0 is the SAME as the distance between T and 0 Since S ...”
December 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to In a certain company, 25% of the women and 17% of the men in the Data Sufficiency forum
“Hi All, This question involves some subtle Number Property rules that you have to consider to get the correct answer. Those rules, along with TESTing VALUES, can help you to quickly answer the question... We''re told that 25% of the women and 17% of the men participate in the voluntary equity ...”
December 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to In her position as a real estate agent, Sarah receives a bon in the Problem Solving forum
“Hi All, We''re told that Sarah receives a bonus for EACH sale she makes - and that last week, she earned a $4,000 bonus, which decreased her AVERAGE bonus amount to$4800 (which represents a decrease of 4%). We''re asked for the number of sales Sarah made. This question can be solved in a couple ...”
December 4, 2018
GMATGuruNY posted a reply to Working together, Machine A and Machine B can produce a in the Data Sufficiency forum
“Since A+B take 4 hours to produce 200 widgets, the combined rate for A+B = w/t = 200/4 = 50 widgets per hour. To determine A''s time to produce 200 widgets, we need to know A''s rate. Question stem, rephrased: What is A''s rate? Statement 1: Since B takes 5 hours to produce 50 widgets, B''s ...”
December 4, 2018
GMATGuruNY posted a reply to How many positive two-digit integers have a remainder of 1 w in the Problem Solving forum
“A quick lesson on remainders: Onto the problem at hand: a remainder of 1 when divided by 2 x = 2a + 1 = 1, 3, 5, 7... In other words, x must be ODD. a remainder of 4 when divided by 5 x = 5b + 4 = 4, 9, 14, 19... Since x must be odd, we get: x = 9, 19, 29.... a remainder of ...”
December 4, 2018
Rich.C@EMPOWERgmat.com posted a reply to If x^3 < x^2, what is the value of the integer x? in the Data Sufficiency forum
“Hi All, We''re told that X is an INTEGER and X^3 is LESS than X^2. We''re asked for the value of X. This question can be solved with a mix of Number Properties and TESTing VALUES. To start, there are only certain types of values that will fit the given information that X^3 is less than X^2: ...”
December 3, 2018
Rich.C@EMPOWERgmat.com posted a reply to A certain company that sells only cars and trucks reported in the Problem Solving forum
“Hi All, We''re told that a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996. If total revenues from car sales and trucks sales in 1997 were up 1 percent ...”
December 3, 2018
Rich.C@EMPOWERgmat.com posted a reply to Mary is building a pyramid out of stacked rows of soup cans. in the Problem Solving forum
“Hi All, We''re told that Mary is building a pyramid out of stacked rows of soup cans; the top row of the pyramid contains a single soup can, each row below the top row contains 6 MORE cans than the one above it and the completed pyramid contains 16 rows. We''re asked for the TOTAL number of soup ...”
December 3, 2018
GMATGuruNY posted a reply to If there are 4 pairs of twins, and a committee will be in the Problem Solving forum
“Number of options for the 1st person = 8. Number of options for the 2nd person = 6. (Of the 7 people left, we can''t use the twin of the 1st person chosen, leaving 7-1= 6 choices.) Number of options for the 3rd person = 4. (Of the 6 people left, we can''t use the twins of the 2 people already ...”
December 3, 2018
GMATGuruNY posted a reply to For each of her sales, a saleswoman receives a commission in the Problem Solving forum
“The first $500 of the$800 sale earns 20% commission, while the remaining $300 earns 30%. Average commission percentage per$800 = (500*20 + 300*30)/800 = (5*20 + 3*30)/8 = 190/8 = 23.75 ≈ 24. The correct answer is B.”
December 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to When running a mile during a recent track meet, Nuria was in the Problem Solving forum
“Hi All, We''re told that when running a mile during a recent track meet, Nuria was initially credited with a final time of 5 minutes, 44 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a MINUTE ...”
December 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to When a certain tree was first planted, it was 4 feet tall in the Problem Solving forum
“Hi All, TESTing the ANSWERS is a great way to tackle this question. The "fast" way to solve a problem can still sometimes take time, but regardless of how you approach a prompt, you still need to take notes and stay organized. From the screen capture, you chose answer C (1/2). If ...”
December 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to Portia purchased a laptop for $480, but after checking the in the Problem Solving forum “Hi All, We''re told that Portia purchased a laptop for$480, but after checking the merchant''s website realized that she had been overcharged by 20%. We''re asked how many dollars she was overcharged. This question can be solved in a couple of different ways, including by TESTing THE ANSWERS. ...”
December 1, 2018
GMATGuruNY posted a reply to When a certain tree was first planted, it was 4 feet tall in the Problem Solving forum
“Let x = the yearly increase. Height after 4 years = 4 + 4x. Height after 6 years = 4 + 6x. At the end of the 6th year, the tree was 1/5 taller than it was at the end of the 4th year. The phrase in red implies the following: The height in the 6th year was 6/5 of the height in the 4th ...”
December 1, 2018
Rich.C@EMPOWERgmat.com posted a reply to Reggie purchased a car costing $8,700. As a down payment he in the Problem Solving forum “Hi All, We''re told that Reggie purchased a car costing$8,700 and as a down payment he used a $2,300 insurance settlement and an amount from his savings equal to 15 percent of the difference between the cost of the car and the insurance settlement. He borrowed the rest of the money needed to ...” November 30, 2018 Rich.C@EMPOWERgmat.com posted a reply to Of the employees at a company, 60 percent were men and, of in the Problem Solving forum “Hi swerve, We''re told that of the employees at a company, 60 percent were men and, of these, 1/10 were still employed after a recent corporate restructuring and the number of women who were still employed after the restructuring was FIVE TIMES the number of men who were employed after it. ...” November 30, 2018 GMATGuruNY posted a reply to If k is a positive integer and n=(k-1)k(k+1), is n a multipl in the Data Sufficiency forum “Every other even integer is a MULTIPLE OF 4: 2, 4, 6, 8, 10, 12... Thus, the product of two consecutive even integers = product of a multiple of 4 and an even non-multiple of 4 = MULTIPLE OF 8: 2*4 = 8 4*6 = 2*2*2*3 = 8*3 10*12 = 2*5*2*2*3 = 8*15 Statement 1: Since k is odd, k-1 and k+1 ...” November 30, 2018 GMATGuruNY posted a reply to If x^2=x+1, then x^4=? in the Problem Solving forum “Squaring both sides, we get: (x²)² + (x+1)² x⁴ = x² + 2x + 1 Substituting x²=x+1 into x⁴ = x² + 2x + 1, we get: x⁴ = (x+1) + 2x + 1 x⁴ = 3x + 2 The correct answer is A.” November 30, 2018 GMATGuruNY posted a reply to Is the positive integer p a multiple of 50? in the Data Sufficiency forum “Any integer that is a multiple 10 is also a multiple of 5. Implication: Any integer that satisfies Statement 1 will also satisfy Statement 2. Both statements are satisfied by the following cases: Case 1: p=10, which is a multiple of 10 (and thus is also a multiple of 5) In this case, p is NOT a ...” November 30, 2018 GMATGuruNY posted a reply to The point A, B, C, and D are on the number line, not in the Data Sufficiency forum “The drawings below satisfy both statements: http://s4.postimage.org/1yjxdhskk/ABCD_number_line.jpg Since in the first case BD=1 and in the second case BD=17, the two statements combined are insufficient. The correct answer is E.” November 30, 2018 GMATGuruNY posted a reply to In a business school case competition, the top three teams in the Problem Solving forum “Case 1: Team A wins a prize, with the result that Team B must win a prize Number of prizes that could be won by A = 3. Number of remaining prizes that could be won by B = 2. Number of teams that could win the third prize = 4. (Any of the 4 remaining teams.) To combine these options, we ...” November 30, 2018 GMATGuruNY posted a reply to The juice stall at the circus stocked just 2 brands of in the Problem Solving forum “Let n=50, implying that 50% of the sold juice packs are A, while the other half are B. In other words, the store sells an EQUAL NUMBER of each type of juice pack. Let the store sell 2 OF EACH TYPE of juice pack. Revenue from two$1 packs of A = 2*1 = 2. Revenue from two $1.5 packs of B = ...” November 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to A box contains red and blue balls only. If there are 8 balls in the Data Sufficiency forum “Hi All, We''re told that a box contains red and blue balls only and that there are 8 balls in total. We''re asked for the number of RED balls are in the box. 1) If two balls are randomly selected without replacement, the probability that both balls are red is 5/14 To start, since we''re ...” November 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to Inequality in the Data Sufficiency forum “Hi All, We''re asked for the value of |X - 2|. This question comes down to a specific math concept (Absolute Value), some basic arithmetic and thoroughness on your part - meaning that you have to make sure that you answer the question that is ASKED. 1) |X - 4| = 2 Since we''re dealing ...” November 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to 3 Month Study Plan? in the GMAT Strategy forum “Hi intelligenthuman171, Since it sounds like you''re just beginning your studies, then it would be a good idea to take a FULL-LENGTH practice CAT Test; you can take 2 for free at www.mba.com (and they come with some additional practice materials). If you want to do a little studying first, so ...” November 29, 2018 GMATGuruNY posted a reply to James started from his home and drove eastwards at a in the Problem Solving forum “Let James'' rate = 3 mph. James started from his home and drove eastwards at a constant speed. Exactly 90 minutes after James stated from his home, his brother Patrick started from the same point and drove in the same direction as James did at a different constant speed. Patrick overtook James ...” November 29, 2018 GMATGuruNY posted a reply to The equation of a circle in the x-y coordinate plane is x^2 in the Problem Solving forum “The equation for a circle with its center at the origin and a radius of r is as follows: x² + y² = r². Thus, x² + y² = 25 is a circle with its center at the origin and a radius of 5. A point on this circle will have integer coordinates in three cases: Case 1: The radius is horizontal ...” November 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to If each of the two digits X and Y is distinct, is the two di in the Data Sufficiency forum “Hi All, We''re told that each of the two DIGITS X and Y is distinct. We''re asked if the two-digit integer XY is PRIME. This is a YES/NO question and can be solved by TESTing VALUES. 1) Each of the digits X and Y is the sum of 2 distinct single digit prime numbers. The single-digit ...” November 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to A casino pays players with chips that are either turquoise in the Data Sufficiency forum “Hi All, We''re told that a casino pays players with chips that are either turquoise- or violet- colored; each turquoise- colored chip is worth T dollars, and each violet- colored chip is worth V dollars, where T and V are INTEGERS. We''re asked for the combined value of four turquoise- colored ...” November 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to On a partly cloudy day, Derek decides to walk back from work in the Problem Solving forum “Hi All, This question can be solved by TESTing THE ANSWERS. To start, the prompt provides a few clues about why the speeds have to be 2 miles/hour and 3 miles/hour: 1) The two speeds are S miles/hour and (S+1) miles/hour, so the two numbers must differ by EXACTLY 1. 2) We''re told that S ...” November 29, 2018 Rich.C@EMPOWERgmat.com posted a reply to 12 year out of college, GMAT study plans? in the GMAT Strategy forum “Hi KDR83, Your Essay and IR Scores are both nice achievements - but most Programs do much put much of a ''premium'' on either of those Scores (although depending on the number of applicants and the situation, it''s possible that those Scores could serve as ''tie breakers'' in your favor). I''d ...” November 28, 2018 GMATGuruNY posted a reply to On a partly cloudy day, Derek decides to walk back from work in the Problem Solving forum “The average speed -- 2.8 miles per hour -- must be BETWEEN the two individual rates (s and s+1). Thus, s = 2 miles per hour and s+1 = 3 miles per hour. We can PLUG IN THE ANSWERS, which represent the fraction traveled at 2 miles per hour. When the correct fraction is plugged in, the average ...” November 28, 2018 GMATGuruNY posted a reply to Eight consecutive integers are selected from the integers 1 in the Data Sufficiency forum “When consecutive positive integers are divided by positive integer x, the resulting remainders also are consecutive: If x=4: 16/4 = 4 R0. 17/4 = 4 R1. 18/4 = 4 R2. 19/4 = 4 R3. 20/4 = 5 R0. From here, the cycle of remainders will repeat: 0,1,2,3,0,1,2,3... The smallest remainder is 0. The ...” November 28, 2018 GMATGuruNY posted a reply to A club has 10 members. One president and two vice-presidents in the Problem Solving forum “Number of options for president = 10. (Any of the 10 members.) From the remaining 9 members, the number of ways to choose 2 to serve as vice-president = 9C2 = (9*8)/(2*1) = 36. To combine these options, we multiply: 10*36 = 360. The correct answer is E.” November 28, 2018 Rich.C@EMPOWERgmat.com posted a reply to A company accountant estimates that airfares next year for in the Problem Solving forum “Hi All, We''re told that a company accountant estimates that airfares next year for business trips of a thousand miles or less will increase by 20 percent and airfares for all other business trips will increase by 10 percent. This year, total airfares for business trips of a thousand miles or ...” November 28, 2018 Rich.C@EMPOWERgmat.com posted a reply to An urn contains 10 balls, numbered from 1 to 10. If 2 balls in the Problem Solving forum “Hi All, We''re told that an urn contains 10 balls, numbered from 1 to 10 and we''re told that 2 balls are selected at random WITH replacement. We''re asked for the probability that the SUM of the 2 numbers on the balls will be EVEN. This question can be solved in a couple of different ways, ...” November 28, 2018 Rich.C@EMPOWERgmat.com posted a reply to In a group of 20 people, 5 of them belong to the golf club, in the Problem Solving forum “Hi All, 3-Group Overlapping Sets questions are relatively rare on the Official GMAT (you likely will NOT see this version of Overlapping Sets on Test Day). However, there is a formula that you can use to solve it. Total = (Those in none of the groups) + (1st group) + (2nd group) + (3rd ...” November 27, 2018 Rich.C@EMPOWERgmat.com posted a reply to Between the first day of May and last day in June, the price in the Problem Solving forum “Hi All, We''re told that a between the first day of May and last day in June, the price per kilogram of Melange, a seasoning mix, first DECLINED by 20 percent and then INCREASED by 50 percent and during this same period, the price per liter of Blue, a spring water, first INCREASED by 20 percent ...” November 27, 2018 Rich.C@EMPOWERgmat.com posted a reply to Bobby bought 2 shares, and which he sold for$96 each. If he in the Problem Solving forum
“Hi All, We''re told that Bobby bought 2 shares, which he sold for $96 each, he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share. We''re asked to find the TOTAL profit or loss on the sale of the two shares. This question essentially comes down ...” November 27, 2018 Rich.C@EMPOWERgmat.com posted a reply to GMAT Experience: 540 to 640 in one month in the I just Beat The GMAT! forum “Hi utdallas2019, That''s absolutely fantastic news! A 100-point improvement in such a short period of time is a terrific achievement - and since this 640 puts you well above your Goal Score, this sounds like a bit ''win'' overall! You clearly have a strong work ethic and capacity to improve, so I ...” November 27, 2018 Rich.C@EMPOWERgmat.com posted a reply to In a certain state, gasoline stations compute the price per in the Problem Solving forum “Hi All, This question can be solved by TESTing VALUES. P = Price per gallon CHARGED D = Price per gallon for the Dealer We''re told that the Dealer price has a 4% tax AND 18 cents per gallon added on. So, I''m going to pick a nice round number for D. D =$10 P = $10 +4%($10) + ...”
November 27, 2018
Rich.C@EMPOWERgmat.com posted a reply to At an auto detailing company, it takes 15 minutes for an in the Problem Solving forum
“Hi All, We''re told that at an auto detailing company, it takes 15 minutes for an employee to service a car and 24 minutes to service a truck and the company needs to service all 300 trucks and 360 cars on a lot during a 6-hour shift. We''re asked for the number of employees needed to complete ...”
November 27, 2018
Rich.C@EMPOWERgmat.com posted a reply to A certain recipe calls for 2 cups of sugar and 3 1/2 cups of in the Problem Solving forum
“Hi All, We''re told that a certain recipe calls for 2 cups of sugar and 3 1/2 cups of flour. We''re asked for the ratio of sugar to flour in this recipe. This question can be solved in a couple of different ways. The answer choices are sufficiently ''spread out'' that we can actually answer this ...”
November 27, 2018
Rich.C@EMPOWERgmat.com posted a reply to A chili recipe calls for the final mixture to consist of 1/2 in the Problem Solving forum
“Hi vinni.k, We''re told that a chili recipe calls for the final mixture to consist of 1/2 meat and 1/3 beans, with the remainder an even mixture of sauce and various spices (and a total of 6 pounds of sauce and spices are used). We''re asked how many pounds of beans are used. This question can ...”
November 27, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT Mistake Tracker Tool from EMPOWERgmat in the GMAT Strategy forum
“Hi nnennaj, We''ve been unable to recreate the error that you are experiencing. One of our Engineers suggested that you might try using Apple Numbers. GMAT assassins aren''t born, they''re made, Rich”
November 27, 2018
Rich.C@EMPOWERgmat.com posted a reply to GMAT Error Logs Suggestions and Feedback in the Suggestions and Feedback forum
“Hi nnennaj, We''ve been unable to recreate the error that you are experiencing. One of our Engineers suggested that you might try using Apple Numbers. GMAT assassins aren''t born, they''re made, Rich”
November 27, 2018
GMATGuruNY posted a reply to Twelve identical machines, running continuously at the same in the Problem Solving forum
“One approach is to use the following equation: (machines)(time) / output = (machines)(time) / output In the equation above: Machines and time are INVERSELY PROPORTIONAL. As the number of machines increases, the amount of time required to produce the same output decreases. Machines and ...”
November 24, 2018
GMATGuruNY posted a reply to In a plane, there are two parallel lines. One line has 5 in the Problem Solving forum
“One approach: Good Cases = Total Cases - Bad Cases. Total Cases: From 9 points, the number of ways to choose 3 = 9C3 = (9*8*7)/(3*2*1) = 84. Bad Case 1: Choosing 3 collinear points from the 5-point line, with the result that a triangle cannot be formed From the 5 points on this line, the ...”
November 24, 2018
Rich.C@EMPOWERgmat.com posted a reply to A retailer sells only radios and clocks. If she currently in the Problem Solving forum
“Hi All, We''re told that a retailer sells only radios and clocks and she currently has 44 total items in inventory. We''re asked how many of those items are radios. This question can be solved by TESTing VALUES. 1) The retailer has MORE than 28 radios in inventory. With 44 total items, ...”
November 23, 2018
Rich.C@EMPOWERgmat.com posted a reply to A certain telephone company offers two plans, A and B. Under in the Problem Solving forum
“Hi All, We''re told that a certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the FIRST 7 minutes of each call and$0.06 per minute thereafter. Under plan B, the company charges \$0.08 per minute of each call. We''re asked for the duration ...”
November 23, 2018
Rich.C@EMPOWERgmat.com posted a reply to R and S can complete a certain job in 6 and 4 days respectiv in the Problem Solving forum
“Hi All, We''re told that R and S can complete a certain job in 6 and 4 days respectively, while they work individually. We''re asked for the LEAST number of days they will take to complete the same job, if they work on alternate days. Although the wording of this question is a bit ''clunky'', ...”
November 23, 2018
Rich.C@EMPOWERgmat.com posted a reply to Twelve identical machines, running continuously at the same in the Problem Solving forum
“Hi All, We''re told that twelve identical machines, running continuously at the same constant rate, take 8 days to complete a shipment. We''re asked how many ADDITIONAL machines, each running at the same constant rate, would be needed to REDUCE the time required to complete a shipment BY two ...”
November 23, 2018
GMATGuruNY posted a reply to Find x^4 + 1/x^4 if x – 1/x = 2. in the Problem Solving forum
“(x – 1/x)² = 2² x² + 1/x² - 2(x)(1/x) = 4 x² + 1/x² - 2 = 4 x² + 1/x² = 6 (x² + 1/x²)² = 6² x⁴ + 1/x⁴ + (2)(x²)(1/x²) = 36 x⁴ + 1/x⁴ + 2 = 36 x⁴ + 1/x⁴ = 34. The correct answer is D.”
November 23, 2018
GMATGuruNY posted a reply to If n is an integer greater than 1, what is the value of n? in the Data Sufficiency forum
“Since the prompt indicates that n is an integer greater than 1, the case in red is not possible. The only value that satisfies Statement 2 is n=2, making Statement 2 SUFFICIENT. The correct answer thus is not C but B.”
November 23, 2018
Rich.C@EMPOWERgmat.com posted a reply to Gmat Journey... 690 - 640 -710 in the I just Beat The GMAT! forum
“Hi gmat king, The other posts in this thread are over 5 years old, so you might not receive a response from any of the posters. If you''re looking to improve your GMAT Score, then I''ll be happy to analyze your situation/Scores. Before I can offer you the specific advice that you’re looking ...”
November 22, 2018
GMATGuruNY posted a reply to What is the sum of the prime factors of 2^8-1? in the Problem Solving forum
“Alternate approach: 2⁸ - 1 = 256 - 1 = 255 = 5*51 = 5*3*17. Sum of the prime factors = 5+3+17 = 25. The correct answer is E.”
November 22, 2018
GMATGuruNY posted a reply to June 25, 1982, fell on a Friday. On which day of the week in the Problem Solving forum
“Between 1982 and 1987 are 4 non-leap years and 1 leap year. Each non-leap year is composed of 365 days; a leap year is composed of 366 days. Thus, from June 25, 1982 to June 25, 1987, the total number of days = 4(365) + 366. Since June 25, 1982 is a Friday, every passing of 7 days will yield ...”
November 22, 2018
GMATGuruNY posted a reply to A man walking at a constant rate of 4 miles per hour is pass in the Problem Solving forum
“(man''s rate)/(woman''s rate) = (4 mph)/(20 mph) = 1/5. Between the moment when the woman passes the man and the moment when she stops to wait, the woman and the man each travel for 5 minutes. During these 5 minutes, the woman travels x miles. Since the man''s rate is 1/5 the woman''s rate, the ...”
November 21, 2018