# cyrwr1

GMATGuruNY posted a reply to If An=An-1/An-2 (n3), A1=1, and A2=-2, then A100=? in the Problem Solving forum
“A₁ = 1 A₂ = -2 A₃ = -2/1 = -2 A₄ = -2/-2 = 1 A₅ = 1/-2 = -0.5 A₆ = -0.5/1 = -0.5 A₇ = -0.5/-0.5 = 1 A₈ = 1/-0.5 = -2 As illustrated by the results in blue, A₁ through A₆ represent one complete 6-term CYCLE: 1, -2, -2, 1, -0.5, -0.5 Starting with A₇ and A₈, the ...”
Today
GMATGuruNY posted a reply to If m and n are positive integers, what is the value of m + n in the Data Sufficiency forum
“Statement 1: Since m must be a positive integer, only two cases are possible: Case 1: m=1, with the result that m² = 1 Case 2: m=2, with the result that m² = 4 Since the value of n is unknown, INSUFFICIENT. Statement 2: m = n+1 Case 1: n=1, with the result that m=2 and m+n = 3 Case 2: ...”
Today
GMATGuruNY posted a reply to If 75 percent of the guests at a certain banquet ordered in the Data Sufficiency forum
“Let the total number of guests = 100. Since 75% of the guests ordered dessert, we get: Total desert = 0.75(100) = 75. Let C = total who ordered coffee. Let B = total who ordered both dessert and coffee. Statement 1: 60% of the guests who ordered dessert also ordered coffee. Thus: B = ...”
Today
GMATGuruNY posted a reply to Please explain in the Sentence Correction forum
“It must be crystal clear what a modifier is modifying. C: The computer company has announced that it will purchase the color-printing division of a rival company for $950 million, a part of a deal making it the largest manufacturer in the office color-printing market. Here, the intended ...” Yesterday beatthegmat started following Leninmiguel Yesterday beatthegmat started following Mr. B School Yesterday beatthegmat started following ReachingHigher Yesterday beatthegmat started following BJW34 Yesterday Brent@GMATPrepNow posted a reply to The product of 4 consecutive odd integers is negative. What in the Data Sufficiency forum “Target question: What is the largest odd integer? Given: The product of 4 consecutive odd integers is negative. It''s worth taking the time to analyze what this is telling us. If the product of 4 consecutive odd integers is negative, then there are only 2 possible scenarios: Scenario #1: ...” July 17, 2018 Brent@GMATPrepNow posted a reply to Is x<0? in the GMAT Math forum “Target question: Is x<0? Key Concept: ODD exponents preserve the sign of the base. In other words, POSITIVE^ODD = POSITIVE and NEGATIVE^ODD = NEGATIVE Statement 1: x^5 < 0 This is telling us that x^5 = NEGATIVE So, it must be the case that x is NEGATIVE So, the answer to the ...” July 17, 2018 Brent@GMATPrepNow posted a reply to In the xy-plane, points A, B and C are not on the same line in the Data Sufficiency forum “Target question: Is the slope of line BC negative? We can quickly see that statements 1 and 2 (alone) are NOT SUFFICIENT. This brings us to... Statements 1 and 2 combined If we draw the line segment AB with slope -1, then we get something like this: ...” July 17, 2018 Brent@GMATPrepNow posted a reply to If x < 12, then it must be true that in the Problem Solving forum “NOTE: this is one of those questions that require us to check/test each answer choice. In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top. For more on this strategy, see my article: ...” July 17, 2018 Brent@GMATPrepNow posted a reply to If 8x=2^y what is the value of x, in terms of y? in the Problem Solving forum “Another approach is to find some values of x and y that satisfy the given equation 8x = 2^y One solution that works is x = 1 and y = 3, since 8(1) = 2^3 Now take each answer choice and replace x and y with 1 and 3 respectively and see which one yields a true equation: A. 1 = 2^[3(3) - 2] ...” July 17, 2018 GMATGuruNY posted a reply to <x> is the largest integer less than or equal to x and in the Problem Solving forum “Let x = 0.5. < x > = <0.5> = the largest integer less than 0.5 = 0. A.” July 17, 2018 GMATGuruNY posted a reply to Patrick purchased 80 pencils and sold them at a loss equa in the Problem Solving forum “Since the two blue values above are equal, the given question stem is the same as the following: The cost of EACH PENCIL is how many times the selling price of EACH PENCIL? Let the selling price of each pencil =$1. Thus, the selling price of 80 pencils = $80. Since Patrick''s loss is equal ...” July 17, 2018 GMATGuruNY posted a reply to If x < 12, then it must be true that in the Problem Solving forum “If x=-100, then A, B and C are not true. If x=11, then D is not true. The correct answer is E. E: x-2 < 11 x < 13. Since the prompt indicates that x<12, x must be less than 13. Thus, E must be true.” July 17, 2018 GMATGuruNY posted a reply to What is the probability that a 3-digit positive integer in the Problem Solving forum “P(at least one 7) = 1 - P(no 7''s). P(no 7''s): P(hundreds digit is not 7) = 8/9. (Of the 9 possible digits that could serve as the hundreds digit, eight are not 7.) P(tens digit is not 7) = 9/10. (Of the 10 possible digits that could serve as the tens digit, nine are not 7.) P(units digit is ...” July 17, 2018 GMATGuruNY posted a reply to There are 4 bottles with the same number balls in the Problem Solving forum “Let the total number of balls = the sum of the parts of the final ratio = 1+6+5+4 = 16. Since there are 16 balls in total, and each of the 4 bottles begins with m balls, m=4. Since the number of balls in the first bottle decreases from 4 to 1, the number of balls moved from the first bottle = ...” July 17, 2018 GMATGuruNY posted a reply to What is the mean number of defective pens in a box of pens? in the Data Sufficiency forum “Statements combined: Since all the values are PERCENTS, there is no way to determine the average number of defective pens per box. Consider the following cases: Case 1: Each box contains 100 pens. Case 2: Each box contains 1,000,000 pens. Clearly, the average number of defective pens in Case 1 ...” July 16, 2018 GMATGuruNY posted a reply to If t is the sum of three consecutive positive integers, is t in the Data Sufficiency forum “Let the three consecutive integers be x, x+1 and x+2. Thus: t = x + (x+1) + (x+2) = 3x + 3 = 3(x+1). Statement 1: Since x = even, get get: t = 3(EVEN + 1) = ODD*ODD = ODD. An odd integer has no even factors. Since t is odd and thus has no even factors, it cannot be divisible by 24, which is ...” July 16, 2018 GMATGuruNY posted a reply to Time and work problem in the Problem Solving forum “We can PLUG IN THE ANSWERS, which represent how many times a man''s output exceeds that of a woman. When the correct answer is plugged in, 3 men will take 5 fewer days to complete the job than 9 women. B: 4 Let the rate for each woman = 1 unit per day and the rate for each man = 4 units per ...” July 16, 2018 GMATGuruNY posted a reply to In the rectangular coordinate system in the Data Sufficiency forum “Statement 1: Thus, OP=12. Case 1: OQ=1, QS=1, and RS=12, with the result that the area of reach triangle = (1/2)(1)(12) = 6 In this case, R = (2, 12). Case 2: OQ=1, QS=12, and RS=1, with the result that the area of reach triangle = (1/2)(1)(12) = 6 In this case, R = (13, 1). Since R can have ...” July 15, 2018 GMATGuruNY posted a reply to As envisioned by researchers, commercial farming of lobsters in the Sentence Correction forum “A: to sell...standardize...and to predict D: to sell...take...and to predict E: to sell...take...to standardize...and to predict In each of these options, the verb form in red is not parallel with the surrounding infinitives in blue. Eliminate A, D and E. C: taking advantage of off-season ...” July 14, 2018 GMATGuruNY posted a reply to Students in a class are arranged to form groups of 4 in the Data Sufficiency forum “Let T = the total number of students. Since Statement 1 constrains T to a value less than 65, determine whether it''s possible that T<65 or that T≥65. Students in a class are arranged to form groups of 4 members each. After forming the groups, 3 students are left. Thus, T is equal to 3 ...” July 14, 2018 GMATGuruNY posted a reply to doubt 2 in the Sentence Correction forum “A: The protein in rice is higher quality. This wording implies that protein is a type of quality -- a nonsensical meaning. Eliminate A. Since the meaning is nonsensical, the comparison issue is moot.” July 13, 2018 GMATGuruNY posted a reply to doubt 2 in the Sentence Correction forum “Yes -- SC19 in the OG10.” July 13, 2018 GMATGuruNY posted a reply to If a certain positive integer is divided by 9, the remainder in the Data Sufficiency forum “Let x = the integer. If a certain positive integer is divided by 9, the remainder is 3. In other words, x is 3 more than a multiple of 9: x = 9a + 3 = 3, 12, 21, 30.... Statement 1: If the integer is divided by 45, the remainder is 30. In other words, x is 30 more than a multiple of 45: x = ...” July 13, 2018 GMATGuruNY posted a reply to tricky odd/even integer question in the Data Sufficiency forum “Statement 1: Test whether it''s possible that x is odd. Let x=1. Substituting x=1 into xy+z = ODD, we get: y+z = ODD Substituting x=1 into xy+xz = EVEN, we get: y+z = EVEN The equations in red contradict each other, implying that it is not possible that x is odd. Thus, x must be even. ...” July 13, 2018 GMATGuruNY posted a reply to In a certain office, 50 percent of the employees are in the Data Sufficiency forum “Let T = the total number of employees. Since 60% of the employees are over 40, we get: Over 40 = 0.6T 30% of those over 40 -- in other words, 30% of the expression in blue -- have master''s degrees. Thus: Over 40 with master''s = 0.3(0.6T). To calculate the value of the expression in red, we ...” July 13, 2018 GMATGuruNY posted a reply to If a, b, and c are consecutive integers and a<b<c, is in the Data Sufficiency forum “Case 1: a, b and c are EVEN-ODD-EVEN Case 2: a, b and c are ODD-EVEN-ODD Statement 1: Here, Case 2 is not possible: if a and c are both odd, then ac will be odd and thus not a multiple of 8. Since only Case 1 is possible, a must be even. SUFFICIENT. Statement 2: Case 1 is possible if a, b ...” July 13, 2018 GMATGuruNY posted a reply to If the sequence {An } satisfies An = An-1 - An-2, A1 = 0, an in the Problem Solving forum “A₁ = 0. A₂ = 1. A₃ = A₂ - A₁ = 1 - 0 = 1. A₄ = A₃ - A₂ = 1 - 1 = 0. A₅ = A₄ - A₃ = 0 - 1 = -1. A₆ = A₅ - A₄ = -1 - 0 = -1. A₇ = A₆ - A₅ = -1 - (-1) = 0. A₈ = A₇ - A₆ = 0 - (-1) = 1. The alternating blue and red implies the following pattern: 0, 1, ...” July 12, 2018 July 11, 2018 GMATGuruNY posted a reply to Each of three charities in Novel Grove Estates has 8 persons in the Problem Solving forum “This problem involves 3 overlapping sets: Charity A, Charity B, and Charity C. To organize the data, use a Venn Diagram: https://preview.ibb.co/fuXOMo/ABC_0.png Start in the CENTER and work outwards. Exactly 4 persons serve on 3 boards each. Inserting 4 people into the center of the ...” July 11, 2018 GMATGuruNY posted a reply to Challenge: If line k passes through the points (48, 33) and in the Problem Solving forum “Slope = ∆y/∆x = (33-22)/(48-31) = 11/17. Since (x, 0) and (31, 22) must yield the same slope, we get: (0-22)/(x-31) = 11/17 (x-31)(11) = (17)(-22) x - 31 = (17)(-2) x - 31 = -34 x = -3. The correct answer is B.” July 11, 2018 Brent@GMATPrepNow posted a reply to Challenge: If line k passes through the points (48, 33) and in the Problem Solving forum “If we sketch the two given points, we can quickly see that the slope (aka rise/run) of the line = 11/17 https://i.imgur.com/jJtP4PZ.png So, we can use this information to plot another point on the line... https://i.imgur.com/pfA3jL1.png And another point... ...” July 11, 2018 GMATGuruNY posted a reply to If gcd(m,n) is the greatest common divisor of m and n, then in the Data Sufficiency forum “Statement 1: Case 1: m=1 and n=1, with the result that gcd(m,n)=gcd(1,1)=1 Case 2: m=2 and n=2, with the result that gcd(m,n)=gcd(2,2)=2 Since n can be different values, INSUFFICIENT. Statement 2: Case 1: m=30 and n=30, with the result that gcd(m,n)=gcd(30,30)=30 and ...” July 11, 2018 GMATGuruNY posted a reply to The terms of the sequence {An} satisfy A2 - A1 = 2, A3 - A2 in the Problem Solving forum “Let n=3. According to the blue portion above, An+1 - An = A4 - A3 = 10. The correct answer must yield a result of 10 when n=3. Only B works: n² + 1 = 3² + 1 = 10. The correct answer is B.” July 11, 2018 Brent@GMATPrepNow posted a reply to Challenge question: If ABCD is a square, and XYZ in the Problem Solving forum “If ∆XYZ is EQUILATERAL, then each angle is 60° So, if we draw a line from the center to a vertex, we''ll get two 30° angles.... https://i.imgur.com/4s2wG5R.png Now drop a line down like this to create a SPECIAL 30-60-90 right triangle https://i.imgur.com/aLVDzG4.png Since the base ...” July 10, 2018 GMATGuruNY posted a reply to When the positive integer n is divided by 8, the remainder i in the Problem Solving forum “When the positive integer n is divided by 8, the remainder is 3. In other words, n is 3 more than a multiple of 8: n = 8a + 3, where a is nonnegative integer. Options for n: 3, 11, 19, 27... When n is divided by 5, the remainder is 2. In other words, n is 2 more than a multiple of 5: n = 5b ...” July 10, 2018 GMATGuruNY posted a reply to |m-n|=? in the Data Sufficiency forum “{m-n| = the distance between m and n. Question stem, rephrased: What is the distance between m and n? Statement 1: Clearly INSUFFICIENT. Statement 2: Case 1: m=13 and n=1, with the result that the distance between m and n is 12 Case 2: m=100 and n=13/100, with the result that the distance ...” July 10, 2018 Brent@GMATPrepNow posted a new topic called Challenge: If line k passes through the points (48, 33) and in the Problem Solving forum “If line k passes through the points (48, 33) and (31, 22), what is the x-intercept of line k? A) -25 10/11 B) -3 C) -1 16/17 D) 1 16/17 E) 25 10/11 Answer: B Difficulty level: 600 – 650 Source: www.gmatprepnow.com *I''ll post a solution in 2 days” July 9, 2018 Brent@GMATPrepNow posted a reply to What is the area of the shaded region, if the area of the in the Problem Solving forum “EXTRA PRACTICE Here are two more questions involving an equilateral triangle inscribed in a circle: - http://www.beatthegmat.com/triangle-inside-a-circle-t90961.html - http://www.beatthegmat.com/if-a-smaller-circle-is-inscribed-in-an-equilateral-triangle-t289365.html Cheers, Brent” July 9, 2018 GMATGuruNY posted a reply to The average age of a class of 10 students is 15. in the Problem Solving forum “Alternate approach: Since the average age of the 10 original students = 15, the sum of the original 10 ages = (count)(average) = 10*15 = 150. One year later, each of the 10 students is 1 year older, increasing the sum of the ages by a total of 10 years: 150+10 = 160. After the addition of a ...” July 9, 2018 GMATGuruNY posted a reply to GMAT Official Guide 2019 Biologists with a predilection in the Critical Reasoning forum “Passage: We must be open to the possibility that there are living things on other planets. Therefore, we will not be successful in defining what it is that makes something a living thing merely by examining living things on Earth. The statement in blue suggests the following: We cannot define an ...” July 8, 2018 GMATGuruNY posted a reply to If x is an integer and y=3x+2, which of the following CANNOT in the Problem Solving forum “Rule: MULTIPLE OF K + MULTIPLE OF K = MULTIPLE OF K MUTIPLE OF K + NON-MULTIPLE OF K = NON-MULTIPLE OF K y = 3x + 2 = MULTIPLE OF 3 + NON-MULTIPLE OF 3 = NON-MULTIPLE OF 3. Since y is not a multiple of 3, it cannot be a multiple of 6. The correct answer is C.” July 8, 2018 Brent@GMATPrepNow posted a reply to Jalal weighs twicw as much as Meena. Meena's weight is 60% in the Problem Solving forum “An alternative approach is to assign weights that meet the given conditions. Meena''s weight is 60% of Bahar''s weight Let''s let Bahar''s weight = 100 kg So, Meena''s weight = 60 kg Jalal weighs twice as much as Meena. Since Meena weight 60 kg (see above) then Jalal''s weight = 120 kg ...” July 8, 2018 Brent@GMATPrepNow posted a new topic called Challenge question: If ABCD is a square, and XYZ in the Problem Solving forum “https://i.imgur.com/sd4EcIB.png If ABCD is a square, and XYZ is an equilateral triangle, then the area of the square is how many times the area of the triangle? A) (4√3)/3 B) (8√3)/3 C) 2√6 D) (16√3)/9 E) (16√2)/3 Answer: D Difficulty level: 650 – 700 Source: ...” July 8, 2018 Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 If S = 1 + in the Problem Solving forum “So, S = 1 + 1/4 + 1/9 + 1/16 + 1/25 + 1/36 + . . . . Now, let''s convert a few of the fractions to decimal approximations... S = 1 + 0.25 + 0.11 + 0.06 + 0.04 + . . . Add the first 4 values.... S = 1.42 + 0.04 + . . . IMPORTANT: Notice that each fraction is less than the fraction ...” July 8, 2018 GMATGuruNY posted a reply to Is the United States Singular or plural? in the Sentence Correction forum “United States is singular. The OA employs the COMMAND SUBJUNCTIVE. The structure of the command subjunctive is BOSSY WORD + THAT + NOUN + BARE INFINITIVE. A bossy word serves to express a command or recommendation: requires, suggests, recommends, insists, etc. The bare infinitive is the ...” July 8, 2018 GMATGuruNY posted a reply to GMAT Official Guide 2019 (1/2 - 1/3) + (1/3-1/4) in the Problem Solving forum “All the values between the first term and the last term CANCEL OUT. If we subtract the last term from the first term, we get: $$\ \frac{1}{2}-\frac{1}{6}=\ \frac{3}{6}-\frac{1}{6}=\frac{2}{6} = \frac{1}{3}$$ The correct answer is C.” July 8, 2018 GMATGuruNY posted a reply to GMAT Official Guide 2019 If S = 1 + in the Problem Solving forum “BALLPARK. After the first four terms, the values are so small that they can be ignored. Approximate the sum of the first four terms: $$If\ S\ ≈\ 1\ +\ \frac{1}{4}+\frac{1}{10}+\frac{1}{15} = \ 1\ +\ \frac{15}{60}+\frac{6}{60}+\frac{4}{60} = \ 1\ +\ \frac{25}{60}$$ The resulting sum ...” July 8, 2018 Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 In the xy-coordinate plane in the Problem Solving forum “KEY CONCEPT: In order for a point to be ON a line, the x- and y-coordinates of the point must satisfy the equation of that line So, for example, the point (3,7) lies ON the line defined by the equation y = 2x + 1, because x = 3 and y = 7 satisfy the equation y = 2x + 1 That is, 7 = 2(3) + 1 ...” July 7, 2018 Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Greg assembles units of a certain in the Problem Solving forum “GIVEN: Total pay for 2 days is$180 In order to MAXIMIZE the number of units assembled on one of the days, we must MINIMIZE the number of units assembled on the other day We''re told that Greg assembled at least 30 units each day. So, the MINIMUM is 30 units Let''s say that Greg assembled 30 ...”
July 7, 2018
GMATGuruNY posted a reply to GMAT Official Guide 2019 Over the past ten years in the Sentence Correction forum
“In B and C, second in importance is redundant. X is second to Y means -- all on its own -- that X is less important than Y. Eliminate B and C. Modifiers such as only and almost are known as LIMITERS. A limiter serves to LIMIT the scope of another word in the sentence. Generally, a limiter ...”
July 7, 2018
GMATGuruNY posted a reply to GMAT Official Guide 2019 Many utilities obtain most of in the Sentence Correction forum
“In A, B, and D, higher as is unidiomatic. Correct: X is higher THAN Y Eliminate A, B and D. E: between two to three Here, between...to is unidiomatic. Correct: between X AND Y Eliminate E. The correct answer is C.”
July 7, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Which of the following is closest in the Problem Solving forum
“ALWAYS check the answer choices before solving the question! When we do so, we see that the answer choices are VERY spread apart, which means we can save a ton of time by being super aggressive with our approximations (aka rounding) So, we get: √[(4.2)(1590)/15.7 ≈ √[(4)(1600)/16] ≈ ...”
July 6, 2018
GMATGuruNY posted a reply to In the x-y plane, y = f(x) = ax^2+bx+c passes through (1,0) in the Data Sufficiency forum
“f(x) = ax²+bx+c will be a U-shaped parabola if a>0. f(x) = ax²+bx+c will be a ∩-shaped parabola if a<0. Since f(x) = ax²+bx+c has x-intercepts at (1, 0) and (2, 0), f(3)>0 if the parabola is U-shaped. Question stem, rephrased: Is the parabola U-shaped? Statement 1: Since ...”
July 6, 2018
GMATGuruNY posted a reply to John invested 1/4 of A dollars in an investment fund, and pl in the Problem Solving forum
“Let A=40. Since John invests 1/4 of his money in the fund, the amount invested in the fund = (1/4)(40) = 10. Since the remainder is placed in the savings account, the amount placed in the savings account = 40−10 = 30. Since 4p = 4∗10 = 40%, John loses 40% of his $10 investment in the ...” July 6, 2018 GMATGuruNY posted a reply to GMAT Official Guide 2019 In a set of 24 cards, each in the Problem Solving forum “P = (good outcomes)/(all possible outcomes) All possible outcomes: Since there are 24 cards, there are 24 possible outcomes. Good outcomes: For a number to be divisible by 2 and 3, it must be a multiple of 6. Multiples of 6 between 1 and 24, inclusive: 6, 12, 18, 24 For a number to be ...” July 6, 2018 GMATGuruNY posted a reply to GMAT Official Guide 2019 Which of the following is closest in the Problem Solving forum “$$\sqrt{\frac{4.2\left(1,590\right)}{15.7}}$$ $$\sqrt{\frac{4\left(1600\right)}{16}}$$ $$\sqrt{\frac{1600}{4}}$$ $$\sqrt{400}$$ $$20$$ The correct answer is A.” July 6, 2018 Brent@GMATPrepNow posted a reply to Challenge question: In the above figure, the small circle... in the Problem Solving forum “If we recognize that the hypotenuse of the blue right triangle below is twice the length of one side, we can see that this is a 30-60-90 SPECIAL TRIANGLE https://i.imgur.com/qxIw8NQ.png In the base triangle (on the right), the side opposite the 30° has length 1. So, the magnification factor of ...” July 5, 2018 GMATGuruNY posted a reply to If positive integer p divided by 9 leaves a remainder of 1 in the Problem Solving forum “Since dividing p by 9 yields a remainder of 1, p is ONE MORE THAN MULTIPLE OF 9: p = 9a + 1, where a is a nonnegative integer. Options for p 1, 10, 19, 28... If p=1, then Statement I is not true. Eliminate A, D and E. If p=10, then Statement II is not true. Eliminate B. The correct ...” July 5, 2018 GMATGuruNY posted a reply to GMAT Official Guide 2019 If n is an integer, what in the Data Sufficiency forum “Statement 1: 12n = 432. Since we can solve for n, the GCF of 12 and n can be determined. SUFFICIENT. Statement 2: 24 = 2*2*2*3. Since the GCF of n and 24 is the blue product (12) without the red factor (2), n must be a multiple of 12 that does NOT include an additional factor of 2. In ...” July 5, 2018 Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 In the figure shown in the Problem Solving forum “Since angles on a line must add to 180°, we can see that there are three 30° angles in our diagram... https://i.imgur.com/V6wFovz.png Next, let''s focus on the BLUE triangle. https://i.imgur.com/cdsQPY8.png Since angles in a triangle must add to 180° (and since we already have two angles ...” July 4, 2018 Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 10, 4, 26, 16 in the Problem Solving forum “Arrange the 4 values in ascending order: {4, 10, 16, 26} Since we have an EVEN number of values, the median will be the average of the 2 middlemost values. So, the median = (10 + 16)2 = 26/2 = 13 Answer: B Cheers, Brent” July 4, 2018 Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Over the past 7 weeks in the Problem Solving forum “Average = ($74 + $69 +$64 + $79 +$64 + $84 +$77)/7 = $511/7 =$73 Answer: C Cheers, Brent”
July 4, 2018
Brent@GMATPrepNow posted a reply to When the positive integer x is divided by 11 in the Problem Solving forum
“A fast approach is to find a value of x that meets the given conditions. When the positive integer x is divided by 11, the quotient is y and the remainder 3. When x is divided by 19, the remainder is also 3.... Notice that x = 3 meets the above conditions. 3 divided by 11 = 0 with remainder ...”
July 4, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 The value of the above in the Problem Solving forum
“One option is to replace each fraction in the NUMERATOR with its decimal approximation. 7/8 ≈ 0.88 1/9 ≈ 0.11 1/2 = 0.5 So, (7/8 + 1/9)/(1/2) ≈ (0.88 + 0.11)/(1/2) ≈ (0.99)/(1/2) ≈ 1/(1/2) ≈ 2 Answer: A Cheers, Brent”
July 4, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 If a + b + c = 12 in the Data Sufficiency forum
“Target question: What is the value of b ? Given: a + b + c = 12 Statement 1: a + b = 8 We can take a + b + c = 12 and rewrite it as (a + b) + c = 12 Now replace a+b with 8 to get: (8) + c = 12 Solve: c = 4 Now that we know the value of c, can we find the value of b? No. Let''s ...”
July 4, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 The table shows partial results in the Problem Solving forum
“Since we aren''t told the number of people involved in the survey, let''s make things easier on ourselves and assign a "nice" value to the number of people involved in the survey. Let''s say there were 100 people in the survey. When we apply this to our table, we see that 35 people ...”
July 4, 2018
GMATGuruNY posted a reply to |x-y|=? in the Data Sufficiency forum
“Statement 1: Clearly INSUFFICIENT. Statement 2: If x=5 and y=1, then |x-y| = |5-1| = 4. If x=10 and y=0.5, then |x-y| = |10-0.5) = 9.5. Since |x-y| can be different values, INSUFFICIENT. Statements combined: If x=5 and y=1, then |x-y| = |5-1| = 4. If x=1 and y=5, then |x-y| = |1-5| = 4. ...”
July 4, 2018
GMATGuruNY posted a reply to GMAT Official Guide 2019 The table shows partial results in the Problem Solving forum
“Percent who indicated coupons or store displays = 22+18 = 40. Total percent surveyed = 35+22+18+15 = 90. Resulting fraction: 40/90 = 4/9. The correct answer is D.”
July 4, 2018
GMATGuruNY posted a reply to If f(x) = 4x^2 + px, what is the minimum value of f(x)? in the Data Sufficiency forum
“To determine the minimum value of the graph, we need to know the value of p. Question stem, rephrased: What is the value of p? Statement 1: Substituting x=1 and f(x)=−4 into f(x) = 4x² + px, we get: -4 = 4(1)² + p(1) Since we can solve for p, SUFFICIENT. Statement 2: Substituting ...”
July 4, 2018
Brent@GMATPrepNow posted a reply to Challenge question: If j and k are positive integers, and (k in the Problem Solving forum
“Let''s focus on the value of j. Since j is an integer, it must be the case that j^6 equals some power of 6. So, for example, j^6 could equal 29^6. Likewise, j^6 could equal 29^12, because we can rewrite 29^12 as (29^2)^6 in which case, we can see that (29^2)^6 is a power of 6 Likewise, j^6 ...”
July 3, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: In the above figure, the small circle... in the Problem Solving forum
“https://i.imgur.com/XrqxGNd.png In the above figure, the small circle and big circle have diameters of 3 and 6 respectively. If AB||CD, and both circles share the same center, what is the area of the shaded region? A) 9/2 + 2π B) 9/2 + 3π C) 3√3 + 3π D) 6√3 + 2π E) (9/2)√3 + ...”
July 3, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Ron is 4 inches taller than in the Problem Solving forum
“Let A = Amy''s height So, A + 4 = Ron''s height And A + 5 = Barbara''s height If Barbara''s height = 65, then we can write: A + 5 = 65 Solve to get: A = 60 So, Amy''s height is 60, Ron''s height is 64 and Barbara''s height is 65 So, the median height = 64 Answer: E Cheers, Brent”
July 3, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 While a family was away on in the Problem Solving forum
“..... paid a neighborhood boy $11 per week to mow their lawn... So, in 3 weeks, the amount the family paid for lawn-moving = (3 weeks)($11/week) = $33 ...the family paid$4 per DAY to feed and walk their dog... 3 weeks = 21 DAYS So, the amount the family paid for dog care = (21 days)($4/day) = ...” July 3, 2018 GMATGuruNY posted a reply to Which of the following equations has a graph that can pass t in the Problem Solving forum “Eliminate the four answer choices with MORE THAN ONE coordinate pair (x, y ) such that x and y are integers. If x=1, integer values for y are yielded by A, C, D and E. If x=-1, integer values for y are yielded by A, C, D and E. Since each of these options has more than one coordinate pair (x, y ) ...” July 3, 2018 GMATGuruNY posted a reply to If n is positive integer, is 21 a factor of n? in the Data Sufficiency forum “Statement 1: In other words, 3n is a multiple of 21: 3n = 21, 42, 63... To get a list of options for n, divide every value above by 3: n = 7, 14, 21... If n=7, then the answer to the question stem is NO. If n=21, then the answer to the question stem is YES. INSUFFICIENT. Statement 2: ...” July 3, 2018 GMATGuruNY posted a reply to OG SC question #171 "so as to vs so that" in the Sentence Correction forum “Please see my explanation: https://www.beatthegmat.com/gmat-og-2019-technically-a-quicksanda-is-the-term-t302953.html” July 2, 2018 GMATGuruNY posted a reply to GMAT OG 2019 Technically, “quicksand” is the term in the Sentence Correction forum “I received a PM requesting that I explain why A is wrong. There are several reasons to eliminate A and choose B. so X as to Y implies that Y SEEMS TO BE TRUE. Official examples: Climatic shifts are so gradual as to be indistinguishable from ordinary fluctuations in the weather. The features ...” July 2, 2018 beatthegmat posted a new topic called The Smart Choice: Benefits of Taking the GRE® General Test in the GMAT Strategy forum “Are you thinking of pursuing a professional business degree? More business school students than ever before are getting into top-ranked business programs using GRE<sup>®</sup> scores. You do have testing options. If you’re weighing which test is right for you, this overview of the ...” July 2, 2018 Brent@GMATPrepNow posted a reply to What is the ratio of 2a to b? in the Data Sufficiency forum “Target question: What is the ratio of 2a to b? In other words, What is the value of 2a/b? Statement 1: a/b = 2 Take: a/b = 2 Multiply both sides by 2 to get: 2a/b = 4 So, the answer to the target question is 2a/b = 4 Since we can answer the target question with certainty, statement 1 is ...” July 2, 2018 Brent@GMATPrepNow posted a reply to A certain company employs 6 senior officers and 4 junior in the Problem Solving forum “Take the task of creating the 4-person committee and break it into stages. Stage 1: Select 3 senior officers Since the order of the selected officers does not matter, we can use combinations. We can select 3 officers from 6 senior officers 6C3 ways (= 20 ways) Stage 2: Select 1 junior ...” July 2, 2018 GMATGuruNY posted a reply to If a rectangular box has two faces with an area of 30 in the Problem Solving forum “Nice approach. Just one suggestion: Rather than calculate the product of 60, 30 and 72, break the factors into perfect squares, as follows: V² = 30 * 60 * 72 V² = 30 * 30 * 2 * 2 * 36 V = √(30*30) * √(2*2) * √(6*6) V = 30*2*6 = 360.” July 2, 2018 GMATGuruNY posted a reply to n=? in the Data Sufficiency forum “Statement 1: Case 1: n=1, with the result that n² = 1² = 1 Case 2: n=-1, with the result that n² = (-1)² = 1 Since n can be different values, INSUFFICIENT. Statement 2: Here, the only one option for n is possible: n=1. SUFFICIENT. The correct answer is B.” July 2, 2018 GMATGuruNY posted a reply to A certain company employs 6 senior officers and 4 junior in the Problem Solving forum “From 6 senior officers, the number of ways to choose 3 for the committee = 6C3 = (6*5*4)/(3*2*1) = 20. Since there are 4 junior officers, the number of options for the junior officer on the committee = 4. To combine the options above, we multiply: 20*4 = 80. The correct answer is D.” July 2, 2018 GMATGuruNY posted a reply to Jamshid can paint a fence in 50 percent less time than in the Problem Solving forum “We can PLUG IN THE ANSWERS, which represent Taimour''s time alone. Since Jamshid and Taimour working together takes 8 hours to paint the fence, Taimour''s time alone must be more than 8 hours. Eliminate A and B. When the correct answer is plugged in, Jamshid''s time alone will be 50% less than ...” July 2, 2018 GMATGuruNY posted a reply to If z^n = 1, what is the value of z? in the Data Sufficiency forum “Statement 1: Case 1: z=1 and n=1, with the result that z^n = 1¹ = 1 Case 2: z=-1 and n=2, with the result that z^n = (-1)² = 1 Since z can be different values, INSUFFICIENT. Statement 2: Case 1: z=1 and n=1, with the result that z^n = 1¹ = 1 Case 2: z=2 and n=0, with the result that z^n = ...” July 2, 2018 GMATGuruNY posted a reply to If a rectangular box has two faces with an area of 30 in the Problem Solving forum “Let LW = 72 such that L=6 and W=12. Since the other two given areas are 30 and 60, H=5: LH = 6*5 = 30. WH = 12*5 = 60. Thus: V = LWH = 6*12*5 = 360. The correct answer is E.” July 2, 2018 GMATGuruNY posted a reply to What is the remainder when 1044*1047*1050*1053 is in the Problem Solving forum “This problem is beyond the scope of the GMAT. Feel free to ignore it.” July 2, 2018 GMATGuruNY posted a reply to A shelf contains only books of poetry, short stories, in the Data Sufficiency forum “Neither statement alone offers any information about the number of nonfiction books. Statements combined: Number of nonfiction books = (total number of books) - (poetry books) - (short story books) = 15 -4-5 = 6. Since 6 of the 15 books are nonfiction, we get: P(selecting a nonfiction book) = ...” July 2, 2018 Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 If the circumference of a in the Problem Solving forum “We have the following: https://i.imgur.com/NccAGgy.png The perimeter of the circle = 25π We can see that the perimeter of the square is GREATER THAN the perimeter of the circle 25π ≈ (25)(3) ≈ 75 So, the perimeter of the square is GREATER THAN 25π Check the answer ...” July 2, 2018 Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 If the circumference of a in the Problem Solving forum “We have the following: https://i.imgur.com/NccAGgy.png The perimeter of the circle = 25π We can see that the perimeter of the square is GREATER THAN the perimeter of the circle 25π ≈ (25)(3) ≈ 75 So, the perimeter of the square is GREATER THAN 25π Check the answer ...” July 2, 2018 GMATGuruNY posted a reply to Challenge question: If j and k are positive integers, and (k in the Problem Solving forum “Options for j such that j⁶ will divide into 29²⁹11¹¹: j=1 j=11 j=29 j=29² j=29³ j=29⁴ j=11*29 j=11*29² j=11* 29³ j=11*29⁴ Since there are 10 options for j, there are 10 options for k. The correct answer is B.” July 1, 2018 Brent@GMATPrepNow posted a new topic called Challenge question: If j and k are positive integers, and (k in the Problem Solving forum “If j and k are positive integers, and (k)(j^6) = (29^29)(11^11), then how many possible values of k are there? A) 8 B) 10 C) 12 D) 15 E) 18 Answer: B Difficulty level: 650-700 Source: www.gmatprepnow.com *I''ll post a solution in 2 days” July 1, 2018 Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 In a recent town election in the Data Sufficiency forum “Let F = the number of votes in FAVOR of the proposal Let A = the number of votes AGAINST the proposal Target question: What is the value of F/A? Statement 1: There were 60 more votes in favor of the proposal than against the proposal. In other words, F = A + 60 Let''s TEST some values. ...” July 1, 2018 Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Last year$48,000 of a in the Problem Solving forum
“Although I believe it''s best to use one variable to solve this question, we can also use Let x = the amount (in dollars) that ONE employee received Let y = the amount (in dollars) that ONE owner received Each owner received 3 times as much as each employee So, we can write: y = 3x Last year ...”
July 1, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Last year $48,000 of a in the Problem Solving forum “Each owner received 3 times as much as each employee Let E = the amount (in dollars) that ONE employee received So, 3E = the amount (in dollars) that ONE owner received Last year$48,000 of a certain store''s profit was shared by its 2 owners and their 10 employees. In other words: 3E + 3E + ...”
July 1, 2018
GMATGuruNY posted a reply to Thomas Eakins' powerful style-The present perfect tense coul in the Sentence Correction forum
“The rule to which you are referring is discussed at length in my posts here: https://www.beatthegmat.com/comparison-t289039-15.html This rule is applicable only when the adjective in each clause is THE SAME: Its numbers are now five times greater than great] when the use of DDT was sharply ...”
July 1, 2018
GMATGuruNY posted a reply to GMAT Official Guide 2019 From 2000 to 2003, the number in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the number of employees in 2000. Since the number of employees increases by 1/4 and then decreases by 1/3, the correct answer must be divisible by 4 and 3. In other words, the correct answer must be a MULTIPLE OF 12. Eliminate A, C and D. Since the ...”
July 1, 2018
GMATGuruNY posted a reply to GMAT Official Guide 2019 Last year $48,000 of a in the Problem Solving forum “We can PLUG IN THE ANSWERS, which represent the share for each owner. Since the share for each owner is 3 times the share for each employee, the correct answer is almost certainly a multiple of 3 (A, B, C or E). When the correct answer is plugged in, the total profit = 48,000. B:$9000 for each ...”
July 1, 2018
Brent@GMATPrepNow posted a reply to How old will Fred be in 3 years? in the Data Sufficiency forum
“Let''s solve the question using 2 variables Let F = Fred''s PRESENT age Let G = Gary''s PRESENT age Target question: What is the value of F+3 ? Statement 1: Presently, Fred is 4 times as old as Gary. In other words, F = 4G There are several values of F and G that satisfy the equation F ...”
June 30, 2018
Brent@GMATPrepNow posted a reply to If y is 4 greater than one-fourth of x, and in the Problem Solving forum
“The solutions above demonstrate an algebraic approach. We can also solve the question using the INPUT-OUTPUT approach. Let''s find values for x and y that satisfy the given information (y is 4 greater than one-fourth of x) A nice pair of values is x = 4 and y = 5 When we use these values, ...”
June 30, 2018
Brent@GMATPrepNow posted a reply to Tips for correcting careless mistakes in GMAT quant section in the GMAT Math forum
“If silly mistakes are hurting your score, then it''s important that you identify and categorize these mistakes. Some examples might include: - sloppy writing causes a 7 to mysteriously turn into a 1 - you forget that a question is an EXCEPT question. - you fail to notice crucial information such ...”
June 30, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Of the following, which is in the Problem Solving forum
“1.03 is a little bit BIGGER than 1 4.86 is a little bit SMALLER than 5 So, (1.03)(4.86) will be CLOSE TO (1)(5), aka 5 So, 60.2/(1.03 x 4.86) ≈ 60/(1.03 x 4.86) ≈ 60/5 ≈ 12 Answer: B Cheers, Brent”
June 30, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Robin invested a total of $12,000 in the Data Sufficiency forum “Let X = The number of dollars invested in investment X Let Y = The number of dollars invested in investment Y Target question: What is the value of Y? Given: Robin invested a total of$12,000 in two investments, X and Y, so that the investments earned the same amount of simple annual ...”
June 30, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Is the sum of the prices of the in the Data Sufficiency forum
“Target question: Is the sum of the prices of the 3 books less than $48 ? Let A = price of the LEAST expensive book (in dollars) Let B = price of the mid-priced expensive book (in dollars) Let C = price of the MOST expensive book (in dollars) So, A < B < C Statement 1: The price of ...” June 30, 2018 Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 The figure above represents a in the Problem Solving forum “Let''s add the radius of 6 feet to the diagram to get: https://i.imgur.com/JSxL60Q.png From here, we can see the right triangle hiding within the diagram, which means we can apply the Pythagorean Theorem. Se can write: h² + 2² = 6² Simplify: h² + 4 = 36 So, we get: h² = 32 This means ...” June 30, 2018 Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 Is in the Data Sufficiency forum “Target question: Is (x+1)/(y+1) > x/y ? Statement 1: 0 < x < y This tells us that y is POSITIVE, which means y+1 is also POSITIVE. This means we can safely take the inequality (x+1)/(y+1) > x/y and safely multiply both sides by y When we do so, we get: (y)(x+1)/(y+1) > x ...” June 30, 2018 GMATGuruNY posted a reply to GMAT Official Guide 2019 Robin invested a total of$12,000 in the Data Sufficiency forum
“Since X and Y constitute a total investment of $12,000, we get; X + Y = 12,000 Statement 1: Since 3% of X must yield the same amount of interest as 6% of Y, we get: 0.03X = 0.06Y Since we have two variables (X and Y) and two distinct linear equations (X+Y=12000 and 0.03X=0.06Y), we can solve ...” June 30, 2018 GMATGuruNY posted a reply to GMAT Official Guide 2019 If x is a positive integer in the Problem Solving forum “Subtract 3 from increasing powers of 4: 4¹ - 3 = 1 4² - 3 = 13 The results above indicate that the following case is not possible: $$4^x - 3 = 7$$ The correct answer is B.” June 30, 2018 Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 During a trip that they in the Problem Solving forum “Let x = the number of miles Rafael drove Average = 80 So, (72 + 78 + 83 + x)/4 = 80 Multiply both sides by 4 to get: 72 + 78 + 83 + x = 320 Simplify: 233 + x = 320 Solve: x = 87 Answer: D Cheers, Brent” June 29, 2018 Brent@GMATPrepNow posted a reply to Algebra : Applied Problem in the Problem Solving forum “Here''s a slightly different approach. It takes 8 hours to fill to 3/5 of its capacity. So, in 1/3 the time, we''ll fill 1/3 as much. In other words, in 8/3 hours we can fill 1/5 of the pool. We want to know how long it will take to fill 2/5 of the pool. So, it will take twice as long as ...” June 29, 2018 Brent@GMATPrepNow posted a reply to Algebra : Applied Problem in the Problem Solving forum “We know it takes 8 hours to fill to 3/5 of its capacity. We want to know how long it will take to fill the remaining 2/5 of capacity. IMPORTANT: 2/5 is 2/3 as big as 3/5 So, if it takes 8 hours to fill 3/5 of the pool, then the time to fill 2/5 of the pool = (2/3)(8) hours = 16/3 hours = 5 1/3 ...” June 29, 2018 Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 A company bought 3 printers in the Data Sufficiency forum “Let P = price of ONE printer Let S = price of ONE scanner Target question: What is the value of S? Statement 1: The total price of the (3) printers and the (1) scanner was$1,300. So, we can write: 3P + S = 1300 Does this provide enough information to determine the value of S? No. ...”
June 29, 2018
Brent@GMATPrepNow posted a reply to GMAT Official Guide 2019 What is the circumference in the Data Sufficiency forum
“Target question: What is the circumference of circle C ? Statement 1: The radius of circle C is 2π. Useful formula: circumference = (2π)(radius) Now that we know the radius is 2π, the circumference = 2π(2π) = 4π² In other words, the answer to the target question is the circumference ...”
June 29, 2018
GMATGuruNY posted a reply to If Alice traveled on a 10 km trip at a constant speed of 25 in the Problem Solving forum
“Since Alice travels only a small portion of the total distance at 25 kph but the vast majority of the entire distance at 30 kph, her average speed for the entire trip must be just a bit less than 30 kph. Of the five answer choices, only C is sufficiently close to 30 kph. The correct answer is C.”
June 29, 2018
GMATGuruNY posted a reply to A cashier mentally reversed the digits of one customer's in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the correct amount of change. When the digits in the correct answer are reversed, the resulting integer must yield a decrease of 45 cents -- the 45 cents left in the register by mistake. Since reversing the digits must yield a decrease of 45 cents, the ...”
June 28, 2018
GMATGuruNY posted a reply to Tom, who has 50 math questions, will get 5 points in the Problem Solving forum
“Since each question is worth 5 points, a perfect score on the 50-question test = 50*5 = 250. For every question missed, Tom will forgo the 5 points attributed to the question and will lose another 2 points for missing the question, for a net loss of 7 points per missed question. Thus, Tom''s score ...”
June 28, 2018
GMATGuruNY posted a reply to Of the integers between 100 and 799, inclusive in the Problem Solving forum
“Number of options for the hundreds digit = 5. (Of the seven digits 1-7, any but 2 or 5.) Number of options for the tens digit = 8. (Of the ten digits 0-9, any but 2 or 5.) Number of options for the units digit = 8. (Of the ten digits 0-9, any but 2 or 5.) To combine these options, we multiply: ...”
June 28, 2018
GMATGuruNY posted a reply to What is the greatest possible (straight line) distance in the Problem Solving forum
“The longest line that can be drawn inside a rectangular solid is called the MAIN DIAGONAL. Use the SUPER-PYTHAGOREAN THEOREM. If d = the length of the main diagonal, then: d² = l² + w² + h². In the problem above: d² = 10² + 10² + (0.1)² d² = 100 + 100 + 0.01 d² = 200.01 ...”
June 28, 2018
GMATGuruNY posted a reply to 3^n+3^{n+1}+3^{n+2}/3^{n-2}+3^{n-1}+3^n=? in the Problem Solving forum
“Both C and D yield a value of 3² when n=2. As a result, a test-taker would have to test another case to determine whether the correct answer is C or D. When plugging in values, we should avoid numbers that appear in the answer choices. Here -- since 2 appears in the answer choices -- we should ...”
June 28, 2018
GMATGuruNY posted a reply to GMAT Official Guide 2019 [What was the median annual] in the Data Sufficiency forum
“The median salary is equal to the 15th highest salary. When the statements are combined, the 15th highest salary can be any positive value. Thus, the two statements combined are INSUFFICIENT. The correct answer is E.”
June 28, 2018
GMATGuruNY posted a reply to GMAT Official Guide 2019 [What is the number of] in the Data Sufficiency forum
“Statements combined: It''s possible that the article is composed of two 5.5 by 8 pages, each with 250 words. It''s possible that the article is composed of three 5.5 by 8 pages, each with 250 words. Since the number of pages can be different values, the two statements combined are INSUFFICIENT. ...”
June 28, 2018
GMATGuruNY posted a reply to A set of pictures of butterflies contains 10 pictures. in the Problem Solving forum
“P(1st picture selected has not already been purchased) = 7/10. (Of the 10 pictures, 3 have already been purchased, so 7 have not.) P(2nd picture selected has not already been purchased) = 6/9. (Of the 9 remaining pictures, 3 have already been purchased, so 6 have not.) To combine these ...”
June 28, 2018
Brent@GMATPrepNow posted a reply to Allison and Barbara are part of an 8-member dance troupe. in the Problem Solving forum
“Asking,"What fraction of all the possible ensembles that include Allison will also include Barbara?" is the same as asking, "What is the probability that Allison are Barbara are in the same troupe? Step 1: Place Allison in one of the troupes. Step 2: Choose the 3 remaining ...”
June 27, 2018
GMATGuruNY posted a reply to Allison and Barbara are part of an 8-member dance troupe. in the Problem Solving forum
“There are 7 people besides Allison. From this pool of 7 people, 3 must be selected to join Allison''s 4-person ensemble. Thus -- from the pool of 7 people -- the probability that Barbara is among the 3 people selected = 3/7. The correct answer is B.”
June 27, 2018
Brent@GMATPrepNow posted a reply to If a certain vase contains in the Data Sufficiency forum
“Here''s a solution that uses 2 variables Let R = number of roses in the vase Let T = number of tulips in the vase Target question: What is the value of T? Statement 1: The number of roses in the vase is 4 times the number of tulips in the vase. We can write: R = 4T As we can see, ...”
June 27, 2018
Brent@GMATPrepNow posted a reply to Which of the following statements in the Problem Solving forum
“There''s a nice rule that says, "In a set where the numbers are equally spaced, the mean will equal the median." For example, in each of the following sets, the mean and median are equal: {7, 9, 11, 13, 15} {-1, 4, 9, 14} {3, 4, 5, 6} Since consecutive integers are equally spaced, ...”
June 27, 2018
Brent@GMATPrepNow posted a reply to In a certain fraction, the in the Problem Solving forum
“Let N = the numerator Let D = the denominator ...the denominator is 16 greater than the numerator. We can write: D = N + 16 If the fraction is equivalent to 80 percent... We can write: N/D = 80/100 Simplify to get: N/D = 4/5 Cross multiply to get: 5N = 4D ...what is the denominator of ...”
June 27, 2018
GMATGuruNY posted a reply to The relationship between the cost (c) and time (t) is given in the Data Sufficiency forum
“Original cost = mt+ b. When the time increases by 10, we get: New cost = m(t+10) + b = mt + 10m + b. Thus: Increase in the cost = new cost - original cost = (mt + 10m + b) - (mt + b) = 10m. To determine the increase in the cost, we need to know the value of m. Question stem, rephrased: What ...”
June 27, 2018
GMATGuruNY posted a reply to If An+1=120 + (1/4)An for each positive integer n, and A1=15 in the Problem Solving forum
“A₂ = 120 + (1/4)(A₁) = 120 + (1/4)(150) = 120 + 37.5 = 157.5. A₃ = 120 + (1/4)(A₂) = 120 + (1/4)(157.5) ≈ 120 + 39 = 159. A₄ = 120 + (1/4)(A₃) = 120 + (1/4)(159)... The results above indicate that the terms are increasing in value. Thus, A₁₂ > 159. The correct answer is ...”
June 27, 2018
beatthegmat started following chia021
June 27, 2018
Brent@GMATPrepNow posted a reply to If x is negative and y is positive, which of the following in the Problem Solving forum
“The key word here is MUST. So, we''re looking for an expression that must always be positive C. 2y + x If y = 10 and x = -1, then 2y + x = 2(10) + (-1) = 19. So, 2y + x CAN be positive. However, if y = 3 and x = -7, then 2y + x = 2(3) + (-7) = -1. So, 2y + x CAN be negative. Since we''re ...”
June 26, 2018
Brent@GMATPrepNow posted a reply to If x is negative and y is positive, which of the following in the Problem Solving forum
“NOTE: this is one of those questions that require us to check/test each answer choice. In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top. For more on this strategy, see my article: ...”
June 26, 2018
Brent@GMATPrepNow posted a reply to In a sequence of 40 numbers, each term, except for the first in the Problem Solving forum
“Notice that each term is 7 less than the term before it. This means the greatest term will be the first term In other words, term1 = 281 Let''s list a few terms of the sequence and look for a pattern: term1 = 281 term2 = 281 - 7 term3 = 281 - 7 - 7 = 218 - (2)(7) term4 = 281 - 7 - 7 - ...”
June 26, 2018
Brent@GMATPrepNow posted a new topic called How old will Fred be in 3 years? in the Data Sufficiency forum
“How old will Fred be in 3 years? (1) Presently, Fred is 4 times as old as Gary. (2) In 10 years, Fred will be 3 times as old as Gary. Answer: C Difficulty level: 550 - 600 Source: www.gmatprepnow.com”
June 26, 2018
Brent@GMATPrepNow posted a reply to Challenge question: In a group of x students, w students are in the Problem Solving forum
“Let''s apply the Double Matrix Method, a technique that can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions). Here, we have a population of students, and the two characteristics are: - taking French ...”
June 26, 2018
GMATGuruNY posted a reply to At a fruit store, apples are sold for $4 per pound and orang in the Data Sufficiency forum “Statement 1: The average price-per-pound for the MIXTURE of apples and oranges (less than$5) is closer to the price-per-pound for apples ($4) than to the price-per-pound for oranges ($6). Implication: Weight-wise, the mixture must be composed mostly of apples. Thus, the answer to the question ...”
June 26, 2018
GMATGuruNY posted a reply to 3^n+3^{n+1}+3^{n+2}/3^{n-2}+3^{n-1}+3^n=? in the Problem Solving forum
“Let n = 3. Plugging n = 3 into the given expression, we get: $$\frac{3^3+3^{3+1}+3^{3+2}}{3^{3-2}+3^{3-1}+3^3}\\$$ $$\frac{3^3+3^4+3^5}{3^1+3^2+3^3}\\$$ $$\frac{3^3(1 + 3 + 3^2)}{3(1+3+3^2)} = 3^2\\$$ When n=3 is plugged into the answers, the result must be 3². Only D is viable. ...”
June 26, 2018
GMATGuruNY posted a reply to Bob and Alice can finish a job together in 3 hours. in the Problem Solving forum
“Let the job = the LCM of the two times = 15 units. Since Bob and Alice together take 3 hours to produce the job, their combined rate = w/t = 15/3 = 5 units per hour. Since Bob on his own takes 5 hours to produce the job, Bob''s rate = w/t = 15/5 = 3 units per hour. Since Bob and Alice together ...”
June 26, 2018
Brent@GMATPrepNow posted a new topic called If y is 4 greater than one-fourth of x, and in the Problem Solving forum
“If y is 4 greater than one-fourth of x, and x ≠ 0, what is the ratio of y to x in terms of x? A) (x² + 16x)/4 B) (4x + 16)/x C) (x + 16)/4x D) (4x + 1)/x E) (x + 16)/x Answer: C Difficulty level: 550-600 Source: www.gmatprepnow.com *I''ll post a solution in 2 days”
June 25, 2018
Brent@GMATPrepNow posted a reply to OG Mixtures Problem in the Problem Solving forum
“This looks like a job for weighted averages! Weighted average of groups combined = (group A proportion)(group A average) + (group B proportion)(group B average) + (group C proportion)(group C average) + ... Mixture X is 40 percent ryegrass Mixture Y is 25 percent ryegrass Let x = the ...”
June 25, 2018
Brent@GMATPrepNow posted a reply to gmat prep question in the Problem Solving forum
“Here''s the complete question (with answer choices): Height of tree on day 0 = 4 Let d = the height increase each year Height of tree at the end of the 1st year = 4+d Height of tree at the end of the 2nd year = 4+d+d = 4 + 2d Height of tree at the end of the 3rd year = 4+d+d+d = 4 + 3d ...”
June 25, 2018
Brent@GMATPrepNow posted a reply to Alice and Bob drive the same car. Alice drives the car for 1 in the Problem Solving forum
“Let T = total distance traveled Alice drives the car for 1/4 of one trip, and Bob drives the car for the remainder of the same trip In other words, Bob drove 3/4 the distance. We can write: (1/4)T = distance Alice drove And (3/4)T = distance Bob drove The difference between the distance ...”
June 25, 2018
GMATGuruNY posted a reply to Alice and Bob drive the same car. Alice drives the car for 1 in the Problem Solving forum
“The prompt should specify that 1/4 of the trip = 1/4 of the total distance. We can PLUG IN THE ANSWERS, which represent the total distance. When the correct answer is plugged in, the difference between Bob''s distance and Alice''s distance = 40 km. B: 80 km Alice''s distance = (1/4)(80) ...”
June 25, 2018
GMATGuruNY posted a reply to How long did Justin spend driving from Town A to Town B in the Data Sufficiency forum
“Each statement is clearly insufficient on its own. Statements combined: Distance from A to B = (total distance) - (distance from B to C) = 200-100 = 100 miles. The time to travel from A to B can be ANY POSITIVE VALUE. Thus, the total time for the entire trip cannot be determined. INSUFFICIENT. ...”
June 25, 2018
GMATGuruNY posted a reply to Is wp + st > 0? in the Data Sufficiency forum
“Statements combined: Try to satisfy both statements while making wp POSITIVE. Case 1: w=p=s=t=1, with the result that ws + pt = ws + pt = (1*1) + (1*1) = 2 and that wt + ps = (1*1) + (1*1) = 2 In this case, wp + st = (1*1) + (1*1) = 2, so the answer to the question stem is YES. Try to ...”
June 25, 2018
GMATGuruNY posted a reply to If P is an odd integer and (P^2 + Q * R) is an even integer, in the Problem Solving forum
“Let P=1. Case 1: (P² + QR) = 2 Plugging P=1 into the equation above, we get: 1² + QR = 2 QR = 1. If Q=1 and R=1, then B and D are not true. Eliminate B and D. If Q=2 and R=1/2, then A and C is not true. Eliminate A and C. The correct answer is E.”
June 25, 2018
GMATGuruNY posted a reply to What is the value of prime number z? in the Data Sufficiency forum
“Statement 1: z³ < 25 Only one value for z is possible: z = 2, with the result that z³ = 2³ = 8. If z is any other prime number, the value of z³ will exceed 25. Thus, z=2. SUFFICIENT. Statement 2: z² > 1 Here, z can be ANY PRIME NUMBER, since the square of any prime number will be ...”
June 25, 2018
GMATGuruNY posted a reply to A car averages 55 mph for the first 4 hours of a trip in the Problem Solving forum
“Since the car travels at 55 mph for 4 hours, the distance traveled in the first 4 hours = rt = 55*4 = 220 miles. We can PLUG IN THE ANSWERS, which represent the total time. When the correct answer is plugged in, the average speed for the whole trip = 60 mph. B: 8 hours, implying that the last 4 ...”
June 25, 2018
GMATGuruNY posted a reply to If x and y are integers, is 5x + y divisible by 5? in the Data Sufficiency forum
“Statement 1: Case 1: x=5 and y=0 In this case, 5x + y = (5*5) + 0 = 25, so the answer to the question stem is YES. Case 2: x=5 and y=1 In this case, 5x + y = (5*5) + 1 = 26, so the answer to the question stem is NO. Since the answer is YES in Case 1 but NO in Case 2, INSUFFICIENT. Statement ...”
June 25, 2018
GMATGuruNY posted a reply to In a sequence of 40 numbers, each term, except for in the Problem Solving forum
“Since each term is 7 less than the preceding term, the numbers are EVENLY SPACED. For any evenly spaced set, where d is the distance between successive terms: $$a_{n} = a_{1} - (n-1)d$$ In the problem above: a₄₀ = ? a₁ = 281 n = 40 Since each term is 7 less than the preceding term, d ...”
June 25, 2018
Brent@GMATPrepNow posted a reply to Within a group of students, x students are taking English, y in the Problem Solving forum
“We can solve this by using the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions). Here, we have a population of students, and the two characteristics are: - ...”
June 24, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: In a group of x students, w students are in the Problem Solving forum
“In a group of x students, w students are taking Chemistry but not French, y students are taking French but not Chemistry, and z students are NOT taking French. Which of the following represents the number of students who are taking Chemistry? A) x - y - z - w B) x - y + z + w C) x - y - z + w ...”
June 24, 2018
GMATGuruNY posted a reply to In a certain class, boys' heights range is 10 inches, and in the Data Sufficiency forum
“Since the range for the boys = 10, we get: tallest boy - shortest boy = 10 tallest boy = 10 + shortest boy. Since the range for the girls = 8, we get: tallest girl - shortest girl = 8 shortest girl = tallest girl - 8. Statement 1: Case 1: tallest girl = 10, shortest boy = 12 Substituting ...”
June 24, 2018
GMATGuruNY posted a reply to With California expected to see severe electricity shortfall in the Sentence Correction forum
“to facilitate X = to make it easier for X to happen. An introductory with-modifier serves to express something that facilitates the action the in the following clause. OA: With California expected to see severe electricity shortfalls and perhaps blackouts on as many as 30 days this summer, the ...”
June 22, 2018
GMATGuruNY posted a reply to A shelf contains hardcover and paperback books, of either in the Data Sufficiency forum
“This is an EITHER/OR group question. Every book is EITHER hardcover OR paperback. Every book is EITHER fiction OR nonfiction. For an EITHER/OR group problem, use a DOUBLE-MATRIX to organize the data. There are two fractions in statement 1: 2/3 and 1/4. Since the product of the denominators = ...”
June 22, 2018
Brent@GMATPrepNow posted a reply to Challenge: How many positive integers less than 500 begin in the Problem Solving forum
“Here''s a different approach: There are 499 integers from 1 to 499 inclusive. Let''s determine how many of those 499 integers DO NOT meet the condition of beginning with a 3, ending with a 3, or both 1-digit integers that DO NOT begin with a 3, end with a 3, or both 1, 2, 4, 5, 6, 7, 8, ...”
June 22, 2018
GMATGuruNY posted a reply to A marzipan factory has two machines producing marzipan. in the Data Sufficiency forum
“Let N = 4 kg and D''s time for N kg = 1 hour. Thus, D''s rate = (4 kg)/(1 hour) = 4 kg per hour. Since W produces N/2 kg (2 kg) in twice D''s time for N kg (2 hours), W''s rate = (2 kg)/(2 hours) = 1 kg per hour. Combined rate for D+W = 4+1 = 5 kg per hour. Of every 5 kg produced each hour ...”
June 22, 2018
GMATGuruNY posted a reply to A jar contains exactly 100 marbles; each marble contains in the Data Sufficiency forum
“To calculate the probability of picking at least 2 marbles that contain no blue, we need to know how many of the 100 marbles are part-blue. Question stem, rephrased: How many of the 100 marbles are part-blue? Total marbles = (total part-green) + (total part-red) + (total part-orange) + (total ...”
June 21, 2018
Brent@GMATPrepNow posted a new topic called Within a group of students, x students are taking English, y in the Problem Solving forum
“Within a group of students, x students are taking English, y students are taking Math, and z students are taking both English and Math. Which of the following represents the number of students who are taking English or Math but not both? A) x + y - z B) x + y + z C) 2x + 2y - z D) x + y - 2z ...”
June 21, 2018
Brent@GMATPrepNow posted a reply to When a, b and c are consecutive positive even integers such in the Problem Solving forum
“If a, b and c are consecutive EVEN integers, and a>b>c, then we we know that b is 2 greater than c, and a is 2 greater than b So, we can write: b = c + 2 a = c + 4 Now let''s check the answer choices from E to A -----ASIDE---------------- This is one of those questions that require ...”
June 21, 2018
GMATGuruNY posted a reply to When a, b and c are consecutive positive even integers such in the Problem Solving forum
“Test a=6, b=4 and c=2 in the five answer choices. Eliminate any answer choice that does not yield an odd integer. A: (a-c)/2 = (6-2)/2 = 2 --> Eliminate A. B: (a-c)/2 = (2-6)/2 =- 2 --> Eliminate B. C: (a+c)/2 = (6+2)/2 = 4 --> Eliminate C. D: (a+c)/4 = (6+2)/4 = 2 --> Eliminate ...”
June 21, 2018
Brent@GMATPrepNow posted a reply to GMATPrep Exponent Problem in the Problem Solving forum
“4^17 - 2^28 = (2²)^17 - 2^28 = 2^34 - 2^28 = 2^28(2^6 - 1) = 2^26(64- 1) = (2^26)(63) = (2^26)(3)(3)(7) So, the PRIME factors are 2, 3, and 7 Answer: D Cheers, Brent”
June 21, 2018
Brent@GMATPrepNow posted a reply to Problem involving prime factors in the Problem Solving forum
“Important Concept: If integer k is greater than 1, and k is a factor (divisor) of N, then k is not a divisor of N+1 For example, since 7 is a factor of 350, we know that 7 is not a factor of (350+1) Similarly, since 8 is a factor of 312, we know that 8 is not a factor of 313 Now let’s ...”
June 21, 2018
Brent@GMATPrepNow posted a reply to Challenge question: N is a 2-digit integer. When the di in the Data Sufficiency forum
“Target question: What is the value of N? Given: N is a 2-digit integer. When the digits of N are reversed, the resulting number is M. -1 < N – M < 15 Let x = the tens digit of N Let y = the units digit of N So, the VALUE of N = 10x + y When we reverse the digits, we get M = yx ...”
June 20, 2018
GMATGuruNY posted a reply to Between 1980 and 1985, Pierre’s investment portfolio in the Data Sufficiency forum
“Let the original investment = $100. Question stem, rephrased: Is the current value greater than$100? Case 1: z=100% Implication: After 1990, Pierre loses 100% of his investment, reducing its value to $0. In this case, x and y are irrelevant. The answer to the rephrased question stem is ...” June 20, 2018 GMATGuruNY posted a reply to A house cost Ms. Jones C dollars in 1965. Three years in the Problem Solving forum “Since 25% = 1/4 and 50% = 1/2, let C = the LCM of the two denominators = 4*2 = 8. Since Ms. Jones sells the house for 25% above cost, her profit is equal to 1/4 of the cost: (1/4)(8) = 2. Since she must pay a tax equal to 50% of her profit, the tax = (1/2)(2) = 1. Now plug C=8 into the answers ...” June 20, 2018 Brent@GMATPrepNow posted a reply to If s is a positive integer, is s prime? in the Data Sufficiency forum “Target question: Is s prime? Given: s is a positive integer Statement 1: 21/s is an integer So, s can equal 1, 3, 7 or 21 If s = 1, the answer to the target question is NO, s is NOT prime If s = 3, the answer to the target question is YES, s IS prime Since we cannot answer the target ...” June 20, 2018 Brent@GMATPrepNow posted a reply to What is the maximum number of points of intersection of in the Problem Solving forum “With a quick sketch.... https://i.imgur.com/1knFxvl.png ....we can get 2 points of intersection. With the exception of a formal proof, we''re left on our own accord to find a situation with more than 2 points of intersection. If we can''t identify such a situation, we must go with C ...” June 20, 2018 Brent@GMATPrepNow posted a reply to Challenge question: Each edge of the above cube has length 1 in the Problem Solving forum “If we open up the cube, we get something like this.... https://i.imgur.com/9LRJhWQ.png Let x = the distance from A to B https://i.imgur.com/xuj615V.png Since we have a right triangle, we can apply the Pythagorean Theorem to get: 1² + 2² = x² Simplify to get: 1 + 4 = x² So, 5 = x², which ...” June 20, 2018 Brent@GMATPrepNow posted a reply to A house cost Ms. Jones C dollars in 1965. Three years in the Problem Solving forum “A house cost Ms. Jones C dollars in 1965. Three years later she sold the house for 25% more than she paid for it. So, 3 years later, the house sold for 1.25C dollars She has to pay a tax of 50% of the gain. (The gain is the selling price minus the cost.) How much tax must Ms. Jones pay? Gain = ...” June 20, 2018 Brent@GMATPrepNow posted a new topic called Challenge: How many positive integers less than 500 begin in the Problem Solving forum “How many positive integers less than 500 begin with a 3, end with a 3, or both? A) 149 B) 150 C) 159 D) 199 E) 200 Answer: A Difficulty level: 600 – 650 Source: www.gmatprepnow.com *I''ll post a full solution in 2 days” June 20, 2018 Brent@GMATPrepNow posted a reply to Challenge: Is AB || CD? in the Data Sufficiency forum “Target question: Is AB || CD? I''ll use the two shapes below (rectangle and isosceles trapezoid) show that the correct answer is E https://i.imgur.com/zRR75tm.png Statement 1: AC = BD Notice that rectangle and isosceles trapezoid both satisfy the condition that AC = BD ...” June 20, 2018 GMATGuruNY posted a reply to If x and y are positive integers such that x^2+y^2 in the Data Sufficiency forum “Perfect squares less than 18: 1, 4, 9, 16. Perfect cubes less than 18: 1, 8. Options for x²+y³ such that the sum is prime: 1+1 = 2, implying that x=1 and y=1. 4+1 = 5, implying that x=2 and y=1. 9+8 = 17, implying that x=3 and y=2. 16+1 = 17, implying that x=4 and y=1. Both statements ...” June 20, 2018 GMATGuruNY posted a reply to If the product of 5 different positive integers is less than in the Problem Solving forum “To MAXIMIZE the largest integer, MINIMIZE the other four integers. Since the integers must be positive and distinct, the smallest possible option for the other four integers is as follows: 1*2*3*4 = 24. We can PLUG IN THE ANSWERS, which represent the value of the largest integer. Of the five ...” June 20, 2018 Brent@GMATPrepNow posted a new topic called Challenge question: N is a 2-digit integer. When the di in the Data Sufficiency forum “N is a 2-digit integer. When the digits of N are reversed, the resulting number is M. If -1 < N – M < 15, what is the value of N? (1) The sum of N’s digits is 15. (2) The tens digit of N is 1 greater its units digit Answer: A Difficulty level: 650 - 700 Source: ...” June 19, 2018 GMATGuruNY posted a reply to Aqaba Jordan OG16 in the Sentence Correction forum “The new bridge will cost$100 million, as the city planner indicates in next year''s budget proposal. Here, indicates is logically preceded by its subject (the city planner). A ruined structure was probably a church, as indicates its eastward orientation and overall plan. Here, the intended ...”
June 19, 2018
GMATGuruNY posted a reply to three-digit code in the Problem Solving forum
“Case 1: 2nd digit is 0 Number of options for the 3rd digit = 9. (Any digit but 0, since the 2nd and 3rd digits cannot both be 0.) Number of options for the 1st digit = 8. (Any digit but 0 or 1.) To combine these options, we multiply: 9*8 = 72. Case 2: 2nd digit is 1 Number of options for the ...”
June 19, 2018
GMATGuruNY posted a reply to If n >2 and n^4-5n^2+4 = 20h, Is h an integer? in the Data Sufficiency forum
“n⁴ - 5n² + 4 = 20h (n²-4)(n²-1) = 20h (n+2)(n-2)(n+1)(n-1) = 20h h will be an integer if the left side is equal to a MULTIPLE OF 20. Question stem, rephrased: Is (n+2)(n-2)(n+1)(n-1) a multiple of 20? Statement 1: Test one case that also satisfies Statement 2. Case 1: n=20, with ...”
June 18, 2018
Brent@GMATPrepNow posted a reply to Rate my AWA in the GMAT Essays (AWA) forum
“My 2 cents: I like the idea of starting with a summary of the original argument, but your argument summary is only 2 words shorter than the original argument. Your last paragraph deviates from the primary goal of the essay (determine how well the conclusion follows from the premise). Instead, ...”
June 18, 2018
June 18, 2018
Brent@GMATPrepNow posted a new topic called Challenge: Is AB || CD? in the Data Sufficiency forum
“https://i.imgur.com/qNiBsQb.png Is AB || CD? (1) AC = BD (2) AB = CD Answer: E Difficulty level: 600 - 650 Source: www.gmatprepnow.com *I''ll post a full solution in 2 days”
June 18, 2018
Brent@GMATPrepNow posted a reply to What is the volume of the largest cube that can in the Problem Solving forum
“Let''s first inscribe the largest possible square inside the circle https://i.imgur.com/VYR1e8V.png Since the radius of the cylinder is 2, we know that the DIAMETER = 4 https://i.imgur.com/Gg3toPv.png Since we have a RIGHT TRIANGLE, we can apply the Pythagorean Theorem to get: x² + x² = ...”
June 18, 2018
GMATGuruNY posted a reply to gmat prep q in the Problem Solving forum
“Let x=y=1. Then: 2^(x+y)² / 2^(x-y)² = 2^(1+1)² / 2^(1-1)² = 2⁴/2⁰ = 16/1 = 16. The correct answer is D.”
June 18, 2018
Brent@GMATPrepNow posted a reply to Help!! in the Data Sufficiency forum
“A certain business printer can print 40 characters per second... 40 x 60 = 2400 So, the business printer can print 2400 characters PER MINUTE ..., which is 4 times as fast as an average printer. 2400/4 = 600 So, the average printer can print 600 characters PER MINUTE If an average printer ...”
June 18, 2018
Brent@GMATPrepNow posted a reply to gmat prep in the Problem Solving forum
“n= 1/3 + 1/3^2 + 1/3^3 = 1/3 + 1/9 + 1/27 = 9/27 + 3/27 + 1/27 = 13/27 ≈ 1/2 Answer: C Cheers, Brent”
June 18, 2018
Brent@GMATPrepNow posted a reply to GMAT PREP QUES in the Problem Solving forum
“-----ASIDE--------------------- A lot of integer property questions can be solved using prime factorization. For questions involving divisibility, divisors, factors and multiples, we can say: If N is divisible by k (i.e., N is a multiple of k), then k is "hiding" within the prime ...”
June 18, 2018
Brent@GMATPrepNow posted a reply to gmat prep q in the Problem Solving forum
June 18, 2018
Brent@GMATPrepNow posted a reply to gmat prep q in the Problem Solving forum
“Here''s the full question... 2^(X+Y)²/ 2^(X-Y)² = 2^(X² + 2XY + Y²)/ 2^(X² - 2XY + Y²) = 2^(4XY) = 2^4 = 16 Answer: D Cheers, Brent”
June 18, 2018
Brent@GMATPrepNow posted a reply to If x is a 3–digit number, is x even? in the Data Sufficiency forum
“Target question: Is x even? Given: x is a 3–digit number, Jump to...... Statements 1 and 2 combined There are several values of x that satisfy BOTH statements. Here are two: Case a: x = 222. In this case, the answer to the target question is YES, x IS even Case b: x = 121. In ...”
June 18, 2018
Brent@GMATPrepNow posted a reply to Which of the following is NOT a possible value of in the Problem Solving forum
“When we scan the answer choices, we can see that 1/(4-x) can never equal 0. To see why, take 1/(4-x) = 0 and multiply each side by (4-x) to get: 1 = 0, doesn''t work. Answer: C B) 4/17 Let 1/(4-x) = 4/17 Cross multiply to get: (1)(17) = (4)(4 - x) Expand: 17 = 16 - 4x Subtract 16 ...”
June 18, 2018
Brent@GMATPrepNow posted a reply to Is a positive? in the Data Sufficiency forum
“All values (positive or negative) of a will satisfy the equation a - a = 0 For example, if a = 3, then we get: 3 - 3 = 0 (works!) Conversely, if a = -3, then we get: -3 - (-3) = 0 (works!) And, if a = 0, then we get: 0 - 0 = 0 (works!) Cheers, Brent”
June 18, 2018
Brent@GMATPrepNow posted a reply to Is a positive? in the Data Sufficiency forum
“Target question: Is a positive? Jump straight to.... Statements 1 and 2 combined There are infinitely many values of a that satisfy BOTH statements. Here are two: Case a: a = 1 (this satisfies BOTH statements). In this case, the answer to the target question is YES, a IS positive Case ...”
June 18, 2018
Brent@GMATPrepNow posted a reply to The size of a television screen is given as the length in the Problem Solving forum
“Let x be the length (and width) of the square screen with diagonal 21 The area of the large screen will be x² Let y be the length (and width) of the square screen with diagonal 19 The area of the small screen will be y² Our goal is to find the value of x² - y² Large TV: If we examine ...”
June 18, 2018
GMATGuruNY posted a reply to What is the units digit of 248^20? in the Problem Solving forum
“When 8 is raised to consecutive powers, the unit digit repeat in a CYCLE OF 4: 8¹ --> units digit of 8. 8² --> units digit of 4. (Since the product of the preceding units digit and 8 = 8*8 = 64.) 8³ --> units digit of 2. (Since the product of the preceding units digit and 8 = 4*8 = ...”
June 18, 2018
GMATGuruNY posted a reply to The size of a television screen is given as the length in the Problem Solving forum
“We can save a little time if we know the following: The area of a rhombus with diagonals d₁ and d₂ = (d₁d₂)/2. A square is a rhombus with 4 equal angles. In a square, the two diagonals are equal. Thus, the area of a square with diagonal d = d²/2. a² - b² = (a+b)(a-b). ...”
June 18, 2018
GMATGuruNY posted a reply to A sales associate earns a commission of 8% on in the Data Sufficiency forum
“Initial commission = 8% of 10,000 = $800. Let x = the sales amount after the first$10,000. Additional commission = 10% of sales amount after the first $10,000 = (1/10)x. To calculate the total sales, we need to know the value of x. Question stem, rephrased: What is the value of x? Statement ...” June 18, 2018 beatthegmat started following jdiddy June 18, 2018 GMATGuruNY posted a reply to If x and y are positive integers and n = 5^x + 7^(y + 3) in the Data Sufficiency forum “5^x will have a units digit of 5, regardless of the value of x: 5¹ = 5 5² = 25 5³ = 125 In every case, the units digit is 5. To determine the units digit of n, we need to know the units digit of 7^(y+3). Question stem, rephrased: What is the units digit of 7^(y+3)? When 7 is raised to ...” June 18, 2018 Brent@GMATPrepNow posted a new topic called Challenge question: Each edge of the above cube has length 1 in the Problem Solving forum “https://i.imgur.com/pCPvPai.png Each edge of the above cube has length 1. If an ant walks from point A to point B along the OUTSIDE of the cube, what is shortest distance the ant must travel? A) √3 B) 2 C) √5 D) √6 E) √7 Answer: C Difficulty level: 700+ Source: ...” June 17, 2018 Brent@GMATPrepNow posted a reply to Permutations/Combinations in the Problem Solving forum “Take the task of distributing the 12 books and break it into stages Let''s say the children are named A, B and C Stage 1: Select 4 books to give to child A Since the order in which we select the 4 books does not matter, we can use combinations. We can select 4 books from 12 books in 12C4 ...” June 16, 2018 Brent@GMATPrepNow posted a reply to Probability in the Problem Solving forum “First, if P(test) = 1/5, then p(NO test) = 1 - 1/5 = 4/5 NOTE: questions with "at least" are often great candidates for using the complement. That is: P(Event A occurs) = 1 - P(Event A does not occur) So, P(miss at least 1 test) = 1 - P(miss no tests) P(miss no tests) P(miss no ...” June 16, 2018 Brent@GMATPrepNow posted a reply to Probability in the Problem Solving forum “P(all 3 are same type) = P(all 3 are tennis OR all 3 are cricket OR all 3 are squash) = P(all 3 are tennis) + P(all 3 are cricket) + P(all 3 are squash) = P(1st is tennis AND 2nd is tennis AND 3rd is tennis) + (1st is cricket AND 2nd is cricket AND 3rd is cricket) + P(1st is squash AND 2nd is ...” June 16, 2018 Brent@GMATPrepNow posted a reply to w, x, y and z are positive integers such that y < z < in the Data Sufficiency forum “Target question: What is the value of x? Given: w, x, y and z are positive integers such that y < z < x < w. When w is divided by x, the quotient is y, and the remainder is z. Statement 1: The least common multiple of w and x is 30 There are several values of w and x that ...” June 15, 2018 Brent@GMATPrepNow posted a reply to Is y = 7? in the Data Sufficiency forum “Target question: Is y = 7? Statement 1: (x - 4) = 0 This tells us that x = 4, but it provides no information about the value of y Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT Statement 2: (x - 3)(y - 7) = 0 This tells us that EITHER x = 3 OR y ...” June 15, 2018 Brent@GMATPrepNow posted a reply to In a certain sequence term_1 = 64 in the Problem Solving forum “Let''s list a few terms and look for a pattern term1 = 64 = 2^8 term2 = (2^8)(2^2) term3 = (2^8)(2^2)(2^3) term4 = (2^8)(2^2)(2^3)(2^4) . . . term8 = (2^8)(2^2)(2^3)(2^4)(2^5)(2^6)(2^7)(2^8) . . . term11 = (2^8)(2^2)(2^3)(2^4)(2^5)(2^6)(2^7)(2^8)(2^9)(2^10)(2^11) So, ...” June 15, 2018 GMATGuruNY posted a reply to If |x - 2| = |x + 3|, x could equal in the Problem Solving forum “The warning above must be heeded when only one side of an equation is an absolute value. But when BOTH sides of an equation are absolute values, any solution that we derive will be guaranteed to work, so the step above is unnecessary. Since both sides of |x - 2| = |x + 3| are absolute values, we ...” June 15, 2018 Brent@GMATPrepNow posted a reply to If |x - 2| = |x + 3|, x could equal in the Problem Solving forum “There are 3 steps to solving equations involving ABSOLUTE VALUE: 1. Apply the rule that says: If |x| = k, then x = k and/or x = -k 2. Solve the resulting equations 3. Plug solutions into original equation to check for extraneous roots Given: |x - 2| = |x + 3| case a: x - 2 = x + 3 Subtract ...” June 15, 2018 Brent@GMATPrepNow posted a reply to $\sqrt{16+16}=$ in the Problem Solving forum June 15, 2018 Brent@GMATPrepNow posted a reply to $\sqrt{16+16}=$ in the Problem Solving forum “Useful rule: √(xy) = (√x)(√y) So, √(16 + 16) = √(32) = √(16 x 2) = √16 x √2 = 4 x √2 = 4√2 Answer: A Cheers, Brent” June 15, 2018 Brent@GMATPrepNow posted a reply to If n is the product of the squares of 4 different prime numb in the Problem Solving forum “-----------ASIDE------------------ If the prime factorization of N = (p^a)(q^b)(r^c) . . . (where p, q, r, etc are different prime numbers), then N has a total of (a+1)(b+1)(c+1)(etc) positive divisors. Example: 14000 = (2^4)(5^3)(7^1) So, the number of positive divisors of 14000 = ...” June 15, 2018 GMATGuruNY posted a reply to A, B, C are three consecutive positive integers (A>B>C in the Problem Solving forum “Let A=3, B=2 and C=1. 2A + B + 3C = (2*3) + 2 + (3*1) = 11. Now plug A=3 into the answers to see which yields the value in blue. Only E works: 6A-7 = (6*3) - 7 = 18 -7 = 11. The correct answer is E.” June 15, 2018 GMATGuruNY posted a reply to Is x greater than 3.25? in the Data Sufficiency forum “Statement 1: 3.2535 ≤ x < 3.2545. When any value in the range above is rounded to the nearest thousandth, the result is 3.254. Since every value in the range above is greater than 3.25, the answer to the question stem is YES. SUFFICIENT. Statement 2: 3.245 ≤ x < 3.255. When any ...” June 15, 2018 GMATGuruNY posted a reply to If |x - 2| = |x + 3|, x could equal in the Problem Solving forum “Alternate approach: |a-b| = the distance between a and b. |a+b| = |a-(-b)| = the distance between a and -b. |x - 2| = |x + 3| implies the following: The distance between x and 2 is equal to the distance between x and -3. In other words, x must be HALFWAY BETWEEN -3 AND 2. Halfway between two ...” June 15, 2018 GMATGuruNY posted a reply to If |x - 2| = |x + 3|, x could equal in the Problem Solving forum “Case 1: signs unchanged x-2 = x+3 -2 = 3 Since the resulting equation is invalid, Case 1 is not possible. Case 2: signs changed in ONE of the absolute values x-2 = -x-3 2x = -1 x = -1/2. The correct answer is B.” June 15, 2018 GMATGuruNY posted a reply to Bob is training for a fitness competition. In order to in the Problem Solving forum “For any set of consecutive integers: count = biggest - smallest + 1. average = (biggest + smallest)/2. sum = (count)(median). Since Bob starts with 25 pull-ups and drops 1 pull-up each round until his final set of 11 pull-ups, the pull-ups are composed of the consecutive integers between ...” June 15, 2018 GMATGuruNY posted a reply to The price of car A increased by 20 percent over the same in the Data Sufficiency forum “= Car A increased by 20% = 1.2A. Car B decreased by 20% = 0.8B. The reduced price of car B was what percent of the original price of car A? (reduced B)/(original A) = (0.8B)/A = 0.8(B/A). To answer the question stem, we need to know the value of B/A. Question stem, rephrased: What is the ...” June 14, 2018 Brent@GMATPrepNow posted a reply to Is x > 0 ? in the Data Sufficiency forum “Target question: Is x > 0 ? Let''s go straight to... Statements 1 and 2 combined Statement 1 tells us that x < x² Statement 2 tells us that x < x³ There are several values of x that satisfy BOTH statements. Here are two: Case a: x = 2. Notice that 2 < 2² AND 2 < 2³. ...” June 14, 2018 Brent@GMATPrepNow posted a reply to If x and y are prime numbers, and n is a positive integer, w in the Data Sufficiency forum “-------ASIDE---------------- If the prime factorization of N = (p^a)(q^b)(r^c) . . . (where p, q, r, etc are different prime numbers), then N has a total of (a+1)(b+1)(c+1)(etc) positive divisors. Example: 14000 = (2^4)(5^3)(7^1) So, the number of positive divisors of 14000 = (4+1)(3+1)(1+1) ...” June 14, 2018 June 14, 2018 Brent@GMATPrepNow posted a reply to x and y are integers such that 4x^2 – y^2 +4x + 4y – 3 = in the Problem Solving forum “Let''s examine the expression in parts 4x² is EVEN for all integer values of x y² not sure 4x is EVEN for all integer values of x 4y is EVEN for all integer values of y 3 is ODD 0 is EVEN So, we get: EVEN – y² + EVEN + EVEN – ODD = EVEN Simplify left side: ODD – y² = EVEN ...” June 14, 2018 Brent@GMATPrepNow posted a reply to On July 1, 2017, a certain tree was 128 centimeters tall. Ea in the Problem Solving forum “Let''s create a growth table and look for a pattern year | height in cm 2017: 128 2018: 128(1.5) 2019: 128(1.5)^2 2020: 128(1.5)^3 2021: 128(1.5)^4 2022: 128(1.5)^5 2023: 128(1.5)^6 The tree''s height on July 1, 2023 will be how many centimeters greater than the tree''s height on July ...” June 14, 2018 GMATGuruNY posted a reply to Is x = 1? in the Data Sufficiency forum “Statement 1: Substituting 3⁰ = 1 into the given equation, we get: x = x¹. Case 1: x=0 In this case, the answer to the question stem is NO. Case 2: x=1 In this case, the answer to the question stem is YES. Since the answer is NO in Case 1 but YES in Case 2, INSUFFICIENT. Statement 2: ...” June 14, 2018 GMATGuruNY posted a reply to x and y are integers such that 4x^2 – y^2 +4x + 4y – 3 = in the Problem Solving forum “Let x=1. Substituting x=1 into 4x² – y² + 4x + 4y – 3 = 0, we get: 4(1²) – y² + (4*1) + 4y – 3 = 0 4 – y² + 4 + 4y – 3 = 0 – y² + 4y + 5 = 0 y² - 4y - 5 = 0 (y-5)(y+1) = 0 y=5 or y=-1. If y=-1, then A, C and E are not true. If y=5, then D is not true. The correct ...” June 14, 2018 GMATGuruNY posted a reply to There are 68 children in the cafeteria of a school and in the Problem Solving forum “One formula for 3 overlapping groups: T = Group 1 + Group 2 + Group 3 - (exactly 2 groups) - 2(all 3 groups) The big idea with overlapping group problems is to SUBTRACT THE OVERLAPS. When we add together everyone in the three groups: Those in exactly 2 of groups are counted twice, so ...” June 14, 2018 Brent@GMATPrepNow posted a reply to The sum of 3 consecutive numbers is definitely: in the Problem Solving forum “Another approach: Let x = the smallest integer So, x+1 = the next integer And x+2 = the last integer Sum of 3 consecutive numbers = x + (x+1) + (x+2) = 3x + 3 = 3(x+1) As we can see, the sum MUST be a multiple of 3 Or we can say the sum MUST be a divisible by 3 Answer: C ...” June 13, 2018 GMATGuruNY posted a reply to GMATPREP:Whales in the Critical Reasoning forum “The remaining answer choices, negated: B: Among whale fossils that date from later than about fifty million years ago, some are fossils of whale species that drank only fresh water. C: Fossils of whale species that drank fresh water will be found in close proximity to fossils of whale ...” June 13, 2018 Brent@GMATPrepNow posted a reply to N is a 3-digit number, and the sum of its digits is 10. When in the Data Sufficiency forum “Target question: What is the value of N? Given: N is a 3-digit number, and the sum of its digits is 10. When the digits of N are reversed, the new number is 99 less than N. Let N = wxy, where w, x and y represent the 3 digits in N So, the first equation we can write is: w + x + y = 10 ...” June 13, 2018 Brent@GMATPrepNow posted a new topic called In a certain sequence term_1 = 64 in the Problem Solving forum “In a certain sequence, term1 = 64, and for all n > 1, termn = (2^n)(termn-1) What is the value of term11/term8 ? A) 2^3 B) 2^6 C) 2^9 D) 2^27 E) 2^30 Answer: E Difficulty level: 600 - 650 Source: www.gmatprepnow.com * I''ll provide a solution in 2 days” June 13, 2018 GMATGuruNY posted a reply to During a sale, a clothing store sold each shirt at a price in the Data Sufficiency forum “Statement 1: Since the average price for the MIXTURE of shirts and sweaters (21) is closer to the sweater price (25) than to the shirt price (15), the store sold more sweaters than shirts. Thus, the answer to the question stem is YES. SUFFICIENT. Statement 2: Let x = shirts and y = sweaters. ...” June 13, 2018 Brent@GMATPrepNow posted a new topic called w, x, y and z are positive integers such that y < z < x < w. in the Data Sufficiency forum “w, x, y and z are positive integers such that y < z < x < w. When w is divided by x, the quotient is y, and the remainder is z. What is the value of x? (1) The least common multiple of w and x is 30 (2) x³ – 8x² + 12x = 0 Answer: B Difficulty level: 700+ Source: ...” June 13, 2018 GMATGuruNY posted a reply to If n is a positive integer, is 3^4+3^{n+4} divisible by 5? in the Data Sufficiency forum “3⁴ + 3^(n+4) = 3⁴ + (3^n)(3⁴) = 3⁴(1 + 3^n) = 3⁴(3^n + 1). The expression in blue will be divisible by 5 only if (3^n + 1) is a multiple of 5. Question stem, rephrased: Is (3^n + 1) a multiple of 5? Statement 1: Case 1: n=2, with the result that 3^n + 1 = 3² + 1 = 10. In this ...” June 13, 2018 GMATGuruNY posted a reply to N is the 36th prime number. N has remainder 1 when it is div in the Problem Solving forum “The 36th prime number must be ODD. When an odd number is divided by 2, the remainder is 1. The correct answer is C. A remainder must be a nonnegative integer. If this problem were to appear on the GMAT, option A -- a negative integer -- would not be offered as an answer choice.” June 13, 2018 GMATGuruNY posted a reply to GMAT Prep in the Sentence Correction forum “The OAs above and E are not analogous. In the OAs above, the omitted verb is a form of to be: Heated oil prices are expected to be higher this year than were = simple past tense form of to be. In E, the omitted verb is NOT a form of to be: Demographers would have to know a great deal more ...” June 13, 2018 Brent@GMATPrepNow posted a reply to A 75-liter solution of cool-drink is made from 8% jasmine in the Problem Solving forum “Your solution isn''t quite correct. A 75-liter solution of cool-drink is made from 8% jasmine water. 8% of 75 = (8/100)(75) = 6 So, the 75 liters is comprises of 6 liters of jasmine If 3 liters of jasmine and 12 liters of water were added to the solution.... We adding 15 liters, so the NEW ...” June 12, 2018 Brent@GMATPrepNow posted a new topic called On July 1, 2017, a certain tree was 128 centimeters tall. Ea in the Problem Solving forum “On July 1, 2017, a certain tree was 128 centimeters tall. Each year, the tree''s height increases 50%. Given this growth rate, the tree''s height on July 1, 2023 will be how many centimeters greater than the tree''s height on July 1, 2022? A) (2^2)(3^4) B) (2)(3^4) C) (2)(3^5) D) (4)(3^5) ...” June 12, 2018 Brent@GMATPrepNow posted a reply to tricky challenge question - Is CB || ED? in the Data Sufficiency forum “Target question: Is CB || ED? Let''s jump straight to.... Statements 1 and 2 combined Statement 1 tells us that ∆ABC and ∆AED are both isosceles triangles Statement 2 tells us that ∠C = ∠E Let''s start with 2 identical isosceles triangles: https://i.imgur.com/IQe4Cwq.png ...” June 12, 2018 GMATGuruNY posted a reply to When n is divided by 2, 3, 5, 7 and 9, the remainder is 1. W in the Problem Solving forum “Since n must yield a remainder when divided by 2, n cannot be even. Eliminate A. To yield a remainder of 1 when divided by 9, n must be equal to ONE MORE THAN A MULTIPLE OF 9. Thus, the correct answer choice must be equal to (MULTIPLE OF 9) + 1: B) 211 = 210 + 1 --> Nope. C) 421 = 420 + 1 ...” June 12, 2018 GMATGuruNY posted a reply to A new cell phone plan is offering pricing based on average in the Data Sufficiency forum “The prompt should require that q>0, and the question stem should provide a crystal clear referent for this. Also -- if we assume that this refers to Brandon''s 2001 average monthly usage -- the question stem can be answered even without the two statements: Was Brandon''s 2001 average monthly ...” June 12, 2018 GMATGuruNY posted a reply to tricky challenge question - Is CB || ED? in the Data Sufficiency forum “Statements combined: Case 1: https://i1262.photobucket.com/albums/ii605/gmatguruny/triangles%20and%20parallelism_case%201_zps4waibbnr.png In this case, ∠B = ∠E and ∠C = ∠D, so CB || ED. Case 2: ...” June 12, 2018 GMATGuruNY posted a reply to Overlapping sets in the Data Sufficiency forum “An explanation for the formula below can be found in my post here: https://www.beatthegmat.com/og-13-178-virtual-reality-t111188.html Here is the formula with regard to the prompt above: Total = A + E + N - (AE + AN + EN) - 2(AEN) + None. The prompt gives values for A, E, N, AE, AN, and EN. ...” June 12, 2018 GMATGuruNY posted a reply to Tricky question- Are x and y integers? in the Data Sufficiency forum “The derived equation is valid in the following sense: If x and y are values such that their product is an integer and their sum is an integer -- as required by the two statements -- then we can conclude that x²+y² = integer. x=y=√2 is irrelevant because it violates the condition in red. The ...” June 11, 2018 GMATGuruNY posted a reply to Crowan throws 3 dice and records the product of the numbers in the Problem Solving forum “Case 1: all fives P(1st roll is 5) = 1/6. P(2nd roll is 5) = 1/6. P(3rd roll is 5) = 1/6. Since we want all of these events to happen together, we multiply the fractions: 1/6 * 1/6 * 1/6 = 1/216. Case 2: two 5''s and one roll that is 1 or 3 P(1st roll is 5) = 1/6. P(2nd roll is 5) = 1/6. ...” June 11, 2018 Brent@GMATPrepNow posted a new topic called N is a 3-digit number, and the sum of its digits is 10. When in the Data Sufficiency forum “N is a 3-digit number, and the sum of its digits is 10. When the digits of N are reversed, the new number is 99 less than N. What is the value of N? (1) The hundreds digit of N is 1 more than its units digit. (2) The tens digit of N is 2 more than its hundreds digit. *solution posted in 2 ...” June 11, 2018 Brent@GMATPrepNow posted a reply to If n is the sum of the first 50 positive integers, what is t in the Problem Solving forum “Alternatively, we can use the following formula: Sum of the first k positive integers = (k)(k+1)/2 For example, the sum of the first 10 positive integers = (10)(10 + 1)/2 = 55 So, the sum of the first 50 positive integers = (50)(50 + 1)/2 = (50)(51)/2 = (25)(51) = (5)(5)(3)(17) Answer: ...” June 11, 2018 Brent@GMATPrepNow posted a reply to If n is the sum of the first 50 positive integers, what is t in the Problem Solving forum “n = 1 + 2 + 3 + 4 + ...... + 47 + 48 + 49 + 50 Let''s add the values in pairs, starting from the outside and work towards the middle n = (1 + 50) + (2 + 49) + (3 + 48) + . . .. = 51 + 51 + 51 + ..... Since we are adding 50 values (from 1 to 50), we will get 25 PAIRS of values So, n = ...” June 11, 2018 Brent@GMATPrepNow posted a reply to What is the value of x/3+y/3? in the Data Sufficiency forum “Target question: What is the value of x/3 + y/3? Statement 1: (x + y)/3 = 6 Nice (and often tested) rule: (a + b)/c = a/c + b/c So, we can rewrite the equation as: x/3 + y/3 = 6 So, the answer to the target question is x/3 + y/3 = 6 Since we can answer the target question with certainty, ...” June 11, 2018 Brent@GMATPrepNow posted a reply to work in the Problem Solving forum “Starting point: 3 men, 4 women and 6 children A child does half the work a man does. In other words, 1 child = 1/2 a man This means 6 children = 3 men So, let''s just REPLACE the 6 children with 3 men to get: 6 men and 4 women A woman does double the work a man does In other words, 1 ...” June 11, 2018 GMATGuruNY posted a reply to A lawn care company has five employees, and there are ten in the Problem Solving forum “The posted problem has been transcribed from the original source -- the book GMAT for Dummies -- incorrectly. In the book, the prompt reads as follows: Number of houses that could be assigned to the first employee = 10. (Any of the 10 houses.) Number of houses that could be assigned to the ...” June 11, 2018 GMATGuruNY posted a reply to Beth has a collection of 8 boxes of clothing for a charity in the Problem Solving forum “Let c=2, implying that the average number of pieces per box = 2. Total number of pieces = (number of boxes)(average per box) = 8*2 = 16. When a 12-piece box is removed, the resulting total = 16-12 = 4. When a 22-piece box is added, the resulting total = 4+22 = 26. Resulting average = (total ...” June 11, 2018 GMATGuruNY posted a reply to Is z an integer? in the Data Sufficiency forum “Statement 1: Options for 2z: 2z = 2, 4, 6, 8, 10, 12... Dividing every value above by 2, we get the following options for z: z = 1, 2, 3, 4, 5, 6... In every case, z is an integer. Thus, the answer to the question stem is YES. SUFFICIENT. Statement 2: Options for 4z: 4z = 2, 4, 6, 8, 10, ...” June 11, 2018 GMATGuruNY posted a reply to work in the Problem Solving forum “Let the rate for each child = 1 unit per day. Since each child does half the work of a man, the rate for each man = 2 units per day. Since each woman does double the work of a man, the rate for each woman = 4 units per day. Combined rate for 3 men, 4 women and 6 children = (3*2) + (4*4) + (6*1) ...” June 11, 2018 GMATGuruNY posted a reply to What is the value of y? in the Data Sufficiency forum “Statement 1: 3|x² – 4| = y – 2. If x=0, then y=14. If x=2, then y=2. Since y can be different values, INSUFFICIENT. Statement 2: |3 – y| = 11. Solving 3-y = 11 and 3-y = -11, we get: y = -8 or y=14. Since both y = -8 and y=14 are possible, INSUFFICIENT. Statements 1 and 2 ...” June 11, 2018 GMATGuruNY posted a reply to The sum of 3 consecutive numbers is definitely: in the Problem Solving forum “Try to show that four of the five answer choices are WRONG. Case 1: -2, -1, 0 Sum = -2 + (-1) + 0 = -3. The resulting sum is not positive, nor is it divisible by 2, 4 or 5. Eliminate A, B, D and E. The correct answer is C. The sum of 3 consecutive integers can be represented and then ...” June 11, 2018 GMATGuruNY posted a reply to Tricky question- Are x and y integers? in the Data Sufficiency forum “In DS, each statement is a PREMISE: a fact that cannot be disputed. The premise in Statement 2 is that x+y = integer. Your conclusion -- that x²+y² = integer -- is based upon this premise.. √2 violates this premise and thus is not a valid case when the statements are combined.” June 10, 2018 Brent@GMATPrepNow posted a reply to In the above diagram, the circle inscribes the larger in the Problem Solving forum “Another approach is to use the following fact: For GMAT Problem Solving questions (i.e., questions that are NOT data sufficiency questions), all diagrams are DRAWN TO SCALE, unless stated otherwise. So, we can use this to ESTIMATE the area of the larger triangle. We know the smaller ...” June 10, 2018 Brent@GMATPrepNow posted a reply to In the above diagram, the circle inscribes the larger in the Problem Solving forum “We''re told that the area of the smaller triangle is √3 USEFUL FORMULA: Area of an equilateral triangle = (√3)(side²)/4 So, we can write: (√3)(side²)/4 = √3 Divide both sides by √3 to get: (side²)/4 = 1 Multiply both sides by 4 to get: side² = 4 Solve: side = 2 So, each side of ...” June 10, 2018 Brent@GMATPrepNow posted a reply to John traveled 80% of the way from Yellow-twon to Green- in the Problem Solving forum “Your solution is great. Another option would be to test the answer choices. Cheers, Brent” June 10, 2018 Brent@GMATPrepNow posted a new topic called tricky challenge question - Is CB || ED? in the Data Sufficiency forum “https://i.imgur.com/QY581Gp.png Is CB || ED? (1) ∆ABC and ∆AED are both isosceles triangles (2) ∠C = ∠E” June 10, 2018 GMATGuruNY posted a reply to Tricky question- Are x and y integers? in the Data Sufficiency forum “Both statements are satisfied by the following cases: Case 1: x=0 and y=0, with the result that xy=0 and x+y=0 In this case, x and y are both integers, so the answer to the question stem is YES. Case 2: x=√2 and y=-√2, with the result that xy=-2 and x+y=0 In this case, x and y and NOT ...” June 10, 2018 Brent@GMATPrepNow posted a reply to If x > 0, b > a, and 2x + 5 < 3x + 1, then which of in the Problem Solving forum “Here''s a useful triangle property: https://i.imgur.com/dLnB7G2.png So, if b > a, then we know that 3x + 1 < 4x - 8 We''re also told that 2x + 5 < 3x + 1 So, we can create the following 3-part inequality: 2x + 5 < 3x + 1 < 4x - 8 Subtract 2x from all 3 sides: 5 < x + 1 ...” June 9, 2018 GMATGuruNY posted a reply to In February 1995, Doris Schopper became president in the Sentence Correction forum “the B: Doris Schopper became president of the international council of Medecins sans Frontieres, the English for “Doctors Without Borders" Here, the English seems to refer to the phrase in red, conveying that the phrase in red = ENGLISH. Not so. The phrase in red is composed of FRENCH ...” June 9, 2018 beatthegmat posted a new topic called Is The GMAT Stopping You From An MBA? in the The Application Process forum “https://s33.postimg.cc/mgtq5l3jf/gmat.png Not everyone is good at taking tests. Especially when you feel as if your entire career is resting on the results of four hours spent in an airless room with dozens of other people who look cool, calm and collected while you’re sweating through ...” June 8, 2018 Brent@GMATPrepNow posted a reply to If the sum of the minimum and the maximum of 7 consecutive o in the Problem Solving forum “One more (longer!) solution. Let x = smallest ODD integer So, x+2 = next (2nd) ODD integer x+4 = next (3rd) ODD integer . . . x + 12 = largest (7th) ODD integer Sum of the minimum and the maximum is 114 So, x + x + 12 = 114 Simplify: 2x + 12 = 114 So, 2x = 102 Solve: x = 51 ...” June 8, 2018 GMATGuruNY posted a reply to Abby, Brandon, Cedric, and Deirdre are planning to attend a in the Problem Solving forum “The total price for 4 people (A, B, C and D) is the same as the total price for 5 people (A, B, C, D and K). Let the total price = the LCM of 4 and 5 =$20. If A, B, C and D pay a total price of $20, the price per ticket = 20/4 =$5. If A, B, C, D and K pay a total price of $20, the price per ...” June 8, 2018 Brent@GMATPrepNow posted a reply to If x and y are integers, and x/y = 1.64, which in the Problem Solving forum “Given: x/y = 1.64 Rewrite as: x/y = 164/100 Simplify: x/y = 41/25 So, it''s possible that x = 41 and y = 25 We can also create infinitely many fractions that are EQUIVALENT to 41/25 For example, we can take 41/25 and multiply top and bottom by 2 to get: 82/50 So, it''s possible that x = 82 ...” June 8, 2018 Brent@GMATPrepNow posted a reply to Train X leaves New York at 1 A.M. and travels east at a in the Problem Solving forum “Train X leaves at 1 A.M. and Train Z leaves New York at 2 A.M. When they meet at 5:30 A.M., Train X''s travel time will be 4.5 hours, and Train Z''s travel time will be 3.5 hours Also recognize that, when the trains meet, they both will have traveled the same distance. We know that Train X ...” June 8, 2018 Brent@GMATPrepNow posted a new topic called In the above diagram, the circle inscribes the larger in the Problem Solving forum “https://i.imgur.com/BywBeDq.png In the above diagram, the circle inscribes the larger equilateral, and it circumscribes the smaller equilateral triangle. If the area of the smaller triangle is √3, what is the area of the larger triangle? A) 9π - 16√3 B) 4√3 C) 8√3 D) 16√3 E) ...” June 8, 2018 GMATGuruNY posted a reply to James started from his home and drove eastwards at a in the Problem Solving forum “Alternate approach: 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. ...” June 8, 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 ...” June 8, 2018 GMATGuruNY posted a reply to Sun and Moon: Difficult one in the Sentence Correction forum “X and also Y is a valid construction. In this construction, also is used for emphasis: it serves to indicate that Y is somehow notable. An OA in GMATPrep: The organic food industry has organized a successful grassroots campaign -- using websites, public meetings, and also mass mailings. Here, ...” June 8, 2018 GMATGuruNY posted a reply to Crowan throws 3 dice and records the product of the numbers in the Problem Solving forum “A odd multiple of 25 will be yielded if the product is composed of two 5''s and an odd integer. Case 1: Crowan rolls three 5''s P(5 on the 1st roll) = 1/6. (Of the 6 possible rolls, one is 5.) P(5 on the 2nd roll) = 1/6. P(5 on the 3rd roll) = 1/6. Since we want all of these events to ...” June 8, 2018 GMATGuruNY posted a reply to If xyz=x, is x=0? in the Data Sufficiency forum “Statement 1: Substituting yz=0 into xyz = x, we get: x*0 = x 0 = x. Thus, the answer to the question stem is YES. SUFFICIENT. Statement 2: Substituting xy=0 into xyz = x, we get: 0*z = x 0 = x. Thus, the answer to the question stem is YES. SUFFICIENT. The correct answer is D.” June 8, 2018 GMATGuruNY posted a reply to An ant is clinging to one corner of a box in the shape of a in the Problem Solving forum “https://s22.postimg.cc/60lk6c44d/Cubo.png Let the initial vertex = A, implying that the ant must travel to G. Let''s divide the journey into 3 stages and count the number of options for each stage. First stage; Since the ant can travel from A to B, D, or E, the number of options for the ...” June 8, 2018 GMATGuruNY posted a reply to Speed/Distance in the Problem Solving forum “We can PLUG IN THE ANSWERS, which represent the initial speed. When the correct answer is plugged in, increasing the speed by 10 kph will enable the cyclist to travel 25 km in 5 fewer minutes. Since the increase in the speed and the total distance are both multiples of 10, the correct answer is ...” June 8, 2018 GMATGuruNY posted a reply to The ACME company manufactured x brooms per month from in the Problem Solving forum “Let x=2, implying that 2 brooms are manufactured each month January through April.. Since January through April = 4 months, the number of brooms manufactured = 4*2 = 8. For the rest of the year, the number brooms sold each month = x/2 = 2/2 = 1. Implication: Starting in May, ACME''s stock of ...” June 7, 2018 Brent@GMATPrepNow posted a reply to On entering the stadium, cheers greeted them in the Sentence Correction forum “A. On entering the stadium, cheers greeted them We get: ...cheers greeted them as a sign of universal approval... So, the PEOPLE were a sign of approval? This doesn''t make sense. The CHEERS were a sign of approval. ELIMINATE A ELIMINATE D and E for the same reason. B. On entering the ...” June 7, 2018 Brent@GMATPrepNow posted a reply to inference in the Critical Reasoning forum “When answering inference questions on the GMAT, are looking for the answer choice that MUST follow from the premises. So, as we examine the answer choices, we must aggressively eliminate any answer choice that does not necessarily follow from the premises. (A) Individuals who are underweight do ...” June 7, 2018 Brent@GMATPrepNow posted a reply to One gallon of soft drink is made of 40% orange juice and 60% in the Problem Solving forum “IMPORTANT CONCEPT: when we combine EQUAL amounts of two mixtures, the concentration of the resulting mixture will be the AVERAGE of the two mixtures. For example, if we combine 1 liter of a 10% salt solution with 1 liter of a 40% salt solution, the RESULTING solution will be 25% salt, since ...” June 7, 2018 GMATGuruNY posted a reply to One gallon of soft drink is made of 40% orange juice and 60% in the Problem Solving forum “If 40% juice and 100% juice are combined in EQUAL AMOUNTS, the resulting juice concentration will be the AVERAGE of the two percents: (40+100)/2 = 70. Thus, if 1 gallon of soft drink (which is 40% juice) is combined with 1 gallon of pure juice (which is 100% juice), the resulting mixture will be ...” June 7, 2018 Brent@GMATPrepNow posted a reply to When positive integer N is divided by 18, the remainder is x in the Problem Solving forum “Let''s examine each statement separately... i) x = 9 and y = 3 Let''s come up with a value of N that satisfies this condition. How about N = 9? 9 divided by 18 = 0 with remainder 9 (i.e., x = 9) ...and 9 divided by 6 = 1 with remainder 3 (i.e., y = 3) Perfect, statement i is TRUE Check the ...” June 7, 2018 Brent@GMATPrepNow posted a new topic called If x > 0, b > a, and 2x + 5 < 3x + 1, then which of the in the Problem Solving forum “https://i.imgur.com/jteIDVs.png If x > 0, b > a, and 2x + 5 < 3x + 1, then which of the following COULD be a value of x? i) 4.39 ii) 7.17 iii) 9.27 A) i and ii only B) ii and iii only C) i and iii only D) iii only E) i, ii and iii Answer: D Difficulty level: 600 – ...” June 7, 2018 GMATGuruNY posted a reply to If 5 percent of the personnel stationed at army base M are o in the Data Sufficiency forum “While you seem to have arrived at the correct answer, your approach might prove problematic for other problems. For example: Your first equation: (5/100)(M + F) = officers Here, F = the total number of females. For this reason, a stand-alone F should represent the total number of females in ...” June 7, 2018 GMATGuruNY posted a reply to In the x-y plane, does the parabola y=ax^2+bx+c have x-inter in the Data Sufficiency forum “For any parabola of the form y = ax² + bx + c, the DISCRIMINANT is equal to b² - 4ac. If the discriminant is positive, then the parabola has two x-intercepts. If the discriminant is equal to 0, then the parabola has one x-intercept. If the discriminant is negative, then the parabola has no ...” June 7, 2018 GMATGuruNY posted a reply to How many integers between 50 and 100, inclusive, are divisi in the Problem Solving forum “Total integers = (multiples of 2) + (multiples of 3) - (multiples of both 2 and 3). For any evenly spaced set: Count = (biggest - smallest)/increment + 1. The INCREMENT is the difference between one value and the next. Multiples of 2 between 50 and 100, inclusive: Smallest = 50. Biggest = ...” June 7, 2018 GMATGuruNY posted a reply to Which of the following best completes the passage below in the Critical Reasoning forum “Premise: 2/5 of the surveyed job applicants admitted to being dishonest (implying that 3/5 of the surveyed applicants claimed to be totally honest). Conclusion: The survey may underestimate the proportion of job applicants who are dishonest. A: Some dishonest people taking the survey might have ...” June 6, 2018 GMATGuruNY posted a reply to Speed/Distance in the Problem Solving forum “We can PLUG IN THE ANSWERS, which represent the distance traveled at 4 kph. Since all of the values in the problem are INTEGERS, the correct answer is almost certain to be a multiple of 4. Of the 5 options, only C is a multiple of 4. When the correct answer is plugged in, the total time = 9 ...” June 6, 2018 Brent@GMATPrepNow posted a reply to In the coordinate plane, is the x-intercept of the line ax + in the Data Sufficiency forum “Target question: Is the x-intercept less than 0? This is a good candidate for rephrasing the target question. Aside: Here’s a video with tips on rephrasing the target question: The x-intercept is the point where a line crosses the x-axis. At this point, the y-coordinate is ZERO So, the ...” June 6, 2018 Brent@GMATPrepNow posted a reply to $\frac{49^2-35^2}{14}=$ in the Problem Solving forum “My bad. Here''s the video for squaring numbers that end in 5: https://www.gmatprepnow.com/module/gmat-powers-and-roots/video/1024 Cheers, Brent” June 6, 2018 Brent@GMATPrepNow posted a reply to How many of the positive divisors of 120 are also multiples in the Problem Solving forum “Alternatively, we can just list all divisors in an systematic fashion. We''ll list the divisors in PAIRS of numbers that have a product of 120: 1 and 120 2 and 60 3 and 40 4 and 30 5 and 24 6 and 20 8 and 15 10 and 12 DONE Scanning our list, the multiples of 4 are in red There are 7 ...” June 6, 2018 Brent@GMATPrepNow posted a reply to Rene aerns$8.50 per hour on days other than Sundays and in the Problem Solving forum
“Your solution is great. Here''s one small tip for reducing your calculations by one. Once we know that Rene''s earnings = (32)(8.5) + (8)(17), we can use a nice technique called "Multiplication by Halving and Doubling" It goes like this: AB = (A/2)(2B) For example: (18)(3.5) = ...”
June 6, 2018
Brent@GMATPrepNow posted a new topic called If x and y are integers, and x/y = 1.64, which in the Problem Solving forum
“If x and y are integers, and x/y = 1.64, which of the following CANNOT be a value of x? A) -656 B) -82 C) 123 D) 205 E) 288 Answer: E Difficulty level: 550 – 600 Source: www.gmatprepnow.com”
June 6, 2018
GMATGuruNY posted a reply to At a certain organisation, the number of in the Problem Solving forum
“This is a MIXTURE problem. Percent change for men = +12%. Percent change for women = -6%. Percent change for the MIXTURE of men and women = +1.2%. The following approach is called ALLIGATION -- a very efficient way to handle MIXTURE PROBLEMS. Let M = men and W = women. Step 1: Plot the 3 ...”
June 6, 2018
GMATGuruNY posted a reply to Is a < 2? in the Data Sufficiency forum
“The answer to the question stem can be NO -- implying that a≥2 -- only if a is positive. Thus, when we evaluate the statements, we need consider only POSITIVE values for a. Statement 1: In the xy-plane, the point (a, 1) lies inside the circle whose equation is x^2 + y^2 = 3. Every point (x, ...”
June 6, 2018
GMATGuruNY posted a reply to How many of the positive divisors of 120 are also multiples in the Problem Solving forum
“120 = 4*30 = 4 * (2*3*5). To form a multiple of 4 that divides evenly into 120 but is not equal to 120, we must combine 4 with up to two of the factors in blue: 4 4*2 4*3 4*5 4*2*3 4*2*5 4*3*5 Total options = 7. The correct answer is D.”
June 6, 2018
GMATGuruNY posted a reply to A bakery sells white bread for certain price and rye in the Data Sufficiency forum
“What is the value of 2W + 3R? Statement 1: 2W + 2R = 880. No ways to determine the value of 2W + 3R. INSUFFICIENT. Statement 2: 4W + 6R = 2220 2R + 3W = 1110. SUFFICIENT. The correct answer is B.”
June 6, 2018
GMATGuruNY posted a reply to A rectangular tiled patio is composed of 70 square tiles. in the Problem Solving forum
“Let R = the number of rows and C = the number of columns. Total number of tiles = RC. Since there are 70 tiles, we get: 70 = RC. We can PLUG IN THE ANSWERS, which represent the value of R. The equation in blue indicates that the value of R must be a FACTOR OF 70. Of the five answer ...”
June 6, 2018
GMATGuruNY posted a reply to work in the Problem Solving forum
“Since 16 men working for 12 days are the equivalent of 24 children working for 18 days, we get: (16m)(12) = (24c)(18) 4m = 9c m = (9/4)c. Let the rate for each child = 4 units per day, implying that the rate for each man = (9/4)(4) = 9 units per day. Since 24 children complete the job in 18 ...”
June 5, 2018
GMATGuruNY posted a reply to Analysts blamed May’s sluggish retail in the Sentence Correction forum
“Generally, COMMA + VERBing serves to modify the nearest preceding action and the agent of that action. Analysts blamed May’s sluggish retail sales on unexciting merchandise as well as the weather, which was colder and wetter than usual in some regions, slowing sales of barbecue grills. Here, the ...”
June 5, 2018
beatthegmat posted a new topic called Your Business School Application: 4 Things to Do Right Now in the The Application Process forum
“Congratulations on the decision to pursue a professional business degree! Are you wondering where to start? Applying to MBA and specialized master’s programs requires careful planning and preparation. Checking these first tasks off your list can help put you on the path to success. 1. Know your ...”
June 5, 2018
Brent@GMATPrepNow posted a reply to 30^20 – 20^20 is divisible by all in the Problem Solving forum
“Here are some useful divisibility rules: 1. If integers A and B are each divisible by integer k, then (A + B) is divisible by k 2. If integers A and B are each divisible by integer k, then (A - B) is divisible by k 3. If integer A is divisible by integer k, BUT integer B is NOT divisible by ...”
June 5, 2018
Brent@GMATPrepNow posted a new topic called When positive integer N is divided by 18, the remainder is x in the Problem Solving forum
“When positive integer N is divided by 18, the remainder is x. When N is divided by 6, the remainder is y. Which of the following are possible values of x and y? i) x = 9 and y = 3 ii) x = 16 and y = 2 iii) x = 13 and y = 7 A) i only B) i and ii only C) i and iii only D) ii and iii only ...”
June 5, 2018
Brent@GMATPrepNow posted a reply to A straight line has a slope of 1/2 and a y-intercept of in the Problem Solving forum
“Given this information, we can write the equation for the line in slope y-intercept form, y = mx + b, where m = the slope and b = the y-intercept We''re told that the slope is 1/2 and the y-intercept is -2 So, the equation of the line is: y = (1/2)x + (-2) Simplify to get: y = (1/2)x - 2 ...”
June 5, 2018
Brent@GMATPrepNow posted a reply to If -10 < k < 10, is k > 0? in the Data Sufficiency forum
“Target question: Is k > 0 Given: -10 < k < 10 Statement 1: 1/k > 0 In other words, 1/k is POSITIVE Since 1 is positive, we can write: POSITIVE/k = POSITIVE From this, we can conclude that k must be POSITIVE So, the answer to the target question is YES, it is the case that ...”
June 5, 2018
Brent@GMATPrepNow posted a reply to If 2x = 3y = 10, then 12xy = ? in the Problem Solving forum
“Mitch has already demonstrated the fastest/best approach, but even if you didn''t see that approach, we can always solve the question by first solving the equations for x and y. Here''s what I mean..... GIVEN: 2x = 10 Solve to get: x = 5 GIVEN: 3y = 10 Solve to get: y = 10/3 So, 12xy ...”
June 5, 2018
GMATGuruNY posted a reply to Is xy<6? in the Data Sufficiency forum
“Statements combined: Case 1: x=0 and y=0 In this case, xy < 6. Case 2: x=-10 and y=-10 in this case, xy > 6. Since the answer is YES in Case 1 but NO in Case 2, the two statements combined are INSUFFICIENT. The correct answer is E.”
June 5, 2018
GMATGuruNY posted a reply to If a triangle has one side of 3 cm and another side in the Data Sufficiency forum
“Statement 1: Case 1: The triangle is 3-4-5 In this case, the third side -- the hypotenuse -- has a length of 5. Case 2: hypotenuse = 4 In this case, a² + 3² = 4⁴. Thus, the length of the third side -- the value of a --- will NOT be 5. Since the third side can have different lengths, ...”
June 5, 2018
GMATGuruNY posted a reply to If 2x = 3y = 10, then 12xy = ? in the Problem Solving forum
“Since 2x=10 and 3y=10, we get: (2x)(3y) = 10*10 6xy = 100 12xy = 200. The correct answer is B.”
June 5, 2018
GMATGuruNY posted a reply to Is xy<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, allowing us to SQUARE the inequality: (|x+y|)² < (|x| + |y|)² x² + y² + 2xy < x² + y² + 2|x||y| 2xy < ...”
June 5, 2018
GMATGuruNY posted a reply to work in the Problem Solving forum
“Let the job = 40 units. Since A takes 10 days to complete the job, A''s rate = w/t = 40/10 = 4 units per day. Since B takes 20 days to complete the job, B''s rate = w/t = 40/20 = 2 units per day. Since C takes 40 days to complete the job, C''s rate = w/t = 40/40 = 1 unit per day. Work completed ...”
June 5, 2018
GMATGuruNY posted a reply to progressions 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 numbers between 10 and 300, inclusive: Here, the integers are EVEN, so the increment = 2. Count ...”
June 5, 2018
GMATGuruNY posted a reply to There are x teams and each team plays each other once in the Problem Solving forum
“Each game is played by a PAIR OF TEAMS. Since every team must play every other team exactly once, the total number of games is to equal to the number of possible pairs that can be formed from the x teams. We can PLUG IN THE ANSWERS, which represent the value of x. When the correct answer is ...”
June 4, 2018
Brent@GMATPrepNow posted a reply to When x and n are positive integers, if x^{2n}>(3x)^n, whi in the Problem Solving forum
“Let''s find some values that satisfy the given condition that x^{2n} > (3x)^n How about x = 4 and n = 1. When we plug in these values we get: 4^2 > 12^1, which simplifies to 16 > 12. PERFECT. Which of the following must be true? A. x>3 One possible solution is n = 4. This ...”
June 4, 2018
GMATGuruNY posted a reply to When x and n are positive integers, if x^{2n}>(3x)^n, whi in the Problem Solving forum
“x^(2n) > (3x)^n (x^n)² > (3^n)(x^n) (x^n)(x^n) > (3^x)(x^n) x^n > 3^n. Since each side of the resulting inequality has the same exponent, the left side will be greater than the right side only if x > 3. The correct answer is A.”
June 4, 2018
Brent@GMATPrepNow posted a reply to progressions in the Problem Solving forum
“What''s the source of this question? It''s very un-GMAT-like. First, students aren''t required to know what an A.P. is. Second, {19, 19/5, 87/5,...} this is not an arithmetic progression (A.P.). Third, what do you mean by "maximum sum"? Are you thinking of an infinite GEOMETRIC ...”
June 4, 2018
Brent@GMATPrepNow posted a reply to A certain team consists of 4 professors and 6 teaching in the Problem Solving forum
“When we see a counting question involving "at least", we should consider using the nice rule: Total number of outcomes that FOLLOW a rule = (TOTAL number of outcomes that IGNORE the rule) - (number of outcomes that BREAK the rule) Here, we have: Total number of teams with AT LEAST one ...”
June 4, 2018
Brent@GMATPrepNow posted a reply to progressions in the Data Sufficiency forum
“Please note that the GMAT test-makers don''t assume that students know what an arithmetic progression is. In the past, when they''ve used the term "arithmetic sequence", they have also defined the term. Cheers, Brent”
June 4, 2018
Brent@GMATPrepNow posted a reply to If m = 0.008163 and M the decimal obtained by rounding m to in the Problem Solving forum
“Given: m = 0.008163 The digit 1 is in ten thousandth place of 0.008163 Since next digit (in the hundred thousandth position) is greater than 4, we must ROUND UP So, when we round 0.008163 to the nearest to ten thousandth, we get: 0.0082 In other words, M = 0.0082 So, M + m = 0.0082 + ...”
June 4, 2018
Brent@GMATPrepNow posted a reply to If P, Q, and R are distinct positive digits and the product in the Problem Solving forum
“That''s a perfect approach. The hardest part is looking for two 2-digit numbers that have a product of 221!! Cheers, Brent”
June 4, 2018
Brent@GMATPrepNow posted a reply to On a road trip, Kip drove one-quarter the distance at an ave in the Problem Solving forum
“Since we aren''t told the total distance, let''s assign a nice value to the distance. Let''s say 32 miles = TOTAL distance. So, each quarter = 8 miles Average speed = total distance/total travel time So, we must find the travel time for EACH QUARTER and add them together. Time = ...”
June 4, 2018
GMATGuruNY posted a reply to 30^20 – 20^20 is divisible by all in the Problem Solving forum
“Rule: (MULTIPLE OF X) ± (MULTIPLE OF X) = MULTIPLE OF X (MULTIPLE OF X) ± (NON-MULTIPLE OF X) = NON-MULTIPLE OF X. 3²⁰ - 2²⁰ = (multiple of 3) - (non-multiple of 3) = non-multiple of 3. Since 3²⁰ - 2²⁰ is not divisible by 3, it cannot be divisible by a multiple of 3 such as 60. ...”
June 4, 2018
GMATGuruNY posted a reply to Abby and Bobby type at constant rates of 80 words per minute in the Problem Solving forum
“For Abby to CATCH-UP by 600 words and type AHEAD 200 words, she must type a total of 800 more words than Charlie. When people compete, SUBTRACT THEIR RATES. Since Bobby types 60 words per minute, and Abby types 80 words per minute, every minute Abby types 20 more words than Bobby -- the DIFFERENCE ...”
June 4, 2018
Brent@GMATPrepNow posted a reply to If 2/a+3/a+4/a is an integer, which of the following must in the Problem Solving forum
“That''s a perfect approach. 2/a+3/a+4/a = 9/a. So, if 2/a+3/a+4/a is an integer, then 9/a must be an integer as well. Another approach would be to use the fact that the question asks "Which of the following must also be an integer?" So, first find a value of a so that 2/a+3/a+4/a ...”
June 4, 2018
Brent@GMATPrepNow posted a new topic called 30^20 – 20^20 is divisible by all in the Problem Solving forum
“30^20 – 20^20 is divisible by all of the following values, EXCEPT: A) 10 B) 25 C) 40 D) 60 E) 64 Answer: D Difficulty level: 600 – 650 Source: www.gmatprepnow.com”
June 4, 2018
GMATGuruNY posted a reply to The nephew of Pliny the Elder wrote the only eyewitness in the Sentence Correction forum
“Correct! Correct!”
June 4, 2018
GMATGuruNY posted a reply to work in the Problem Solving forum
“Let the job = 15 units. Since A and B take 5 days to produce the 15-unit job, A+B = w/t = 15/5 = 3 units per day. Thus: A+B = 3. Since 2A and (1/3)B take 3 days to produce the 15-unit job, 2A + (1/3)B = w/t = 15/3 = 5 units per day. Thus: 2A + (1/3)B = 5 6A + B = 15. Subtracting the ...”
June 3, 2018
GMATGuruNY posted a reply to work in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent B''s time to produce the entire job alone. Since B takes 44 days to produce part of the job, B''s time to produce the entire job must be more than 44 days. Eliminate A and B. When the correct answer is plugged in, the time for B to complete the job ...”
June 3, 2018
GMATGuruNY posted a reply to work in the Problem Solving forum
“Let Q = 1 liter per turn. Since P has 3 times the capacity of Q, P = 3 liters per turn. Since P takes 60 3-liter turns to fill the drum, the drum = 60*3 = 180 liters. Since P = 3 liters per turn and Q = 1 liter per turn, the number of turns for P and Q together to fill the 180-liter drum = ...”
June 3, 2018
GMATGuruNY posted a reply to work in the Problem Solving forum
“Let the tank = 6 liters. Since one tap takes 6 hours to fill the 6-liter tank, the rate for each tap = w/t = 6/6 = 1 liter per hour. Time for one tap to fill half the 6-liter tank = w/r = 3/1 = 3 hours. After 3 additional taps are opened, the combined rate for 4 taps = 4 liters per hour. Time ...”
June 3, 2018
Brent@GMATPrepNow posted a new topic called On a road trip, Kip drove one-quarter the distance at an ave in the Problem Solving forum
“On a road trip, Kip drove one-quarter the distance at an average speed of v miles per hour, one-quarter the distance at an average speed of 2v miles per hour, one-quarter the distance at 4v miles per hour, and one-quarter the distance at 8v miles per hour. In terms of v, what was Kip’s average ...”
June 3, 2018
Brent@GMATPrepNow posted a reply to inequality in the Data Sufficiency forum
“Target question: Is the product cd positive? Statement 1: 3c = -8d³ Divide both sides by d to get: 3c/d = -8d² Divide both sides by 3 to get: c/d = -8d²/3 Rewrite as: c/d = (-8/3)(d²) Since d² is greater than or equal to zero for all values of d, and since -8/3 is NEGATIVE, we can ...”
June 3, 2018
Brent@GMATPrepNow posted a reply to Last year the price per share of Stock X increased by k % in the Problem Solving forum
“One approach is to plug in values. Let $100 be the original price per share of Stock X Choose a "nice" value for k. How about k = 200 So, after a 200% increase, the new price per share =$300 Let $100 be the original earnings per share of Stock X Choose a "nice" ...” June 3, 2018 GMATGuruNY posted a reply to In numerous factories, automated equipment is in the Critical Reasoning forum “Premise: In numerous factories, automated equipment is replacing employees. Conclusion: Factories that fire employees will eventually pay...through a heavier tax burden and unemployment insurance fees. C: Most employees that have been replaced by automated equipment are unskilled workers and ...” June 3, 2018 GMATGuruNY posted a reply to Released the first Friday of every month and covering the in the Sentence Correction forum “A and B: amount of new jobs Here, amount cannot serve to refer to a countable noun such as jobs. Eliminate A and B. D: the...report disclosed the number of new jobs that are created E: the...report disclosed the number of new jobs that have been created Here, it is not possible that the ...” June 3, 2018 GMATGuruNY posted a reply to Last year the price per share of Stock X increased by k % in the Problem Solving forum “Original ratio: Let the original price = 1 and the original earnings = 1. Resulting ratio: price/earnings = 1/1 = 1. New ratio: Let k=200 and m=100. Since the price increases by k=200%, the new price = 1 + (200/100)(100) = 3. Since the earnings increase by m=100%, the new earnings = ...” June 3, 2018 GMATGuruNY posted a reply to In the sequence a_1, a_2, . . . , a_n each term in the Problem Solving forum “For any evenly spaced set: average = median. sum = (count)(average). a₁ + a₁₁ + a₂₁ = 99. In the given sequence, the difference between one term and the next = c. Implication: {a₁, a₁₁, a₂₁} constitutes an evenly spaced set because the difference between one term and the ...” June 3, 2018 Brent@GMATPrepNow posted a new topic called What is the volume of the largest cube that can in the Problem Solving forum “What is the volume of the largest cube that can fit inside a cylinder with radius 2 and height 3? A) 9 B) 8√2 C) 16 D) 16√2 E) 27 Answer: D Difficulty level: 650 – 700 Source: www.gmatprepnow.com” June 2, 2018 GMATGuruNY posted a reply to Set X contains 10 consecutive integers. If the sum of the in the Problem Solving forum “For any set of consecutive integers: average = median. sum = (count)(median). Since the sum of the 5 smallest integers = 265, we get: 265 = (5)(median) median = 265/5 = 53. Thus, the 5 smallest integers are 51, 52, 53, 54, and 55, implying that the 5 largest integers are 56, 57, 58, 59, ...” June 2, 2018 Brent@GMATPrepNow posted a reply to Set X contains 10 consecutive integers. If the sum of the in the Problem Solving forum “-------ASIDE------------------------------------------- Notice that we can write the first 10 consecutive integers as follows: 1, 2, 3, 4, 5, (1 + 5), (2 + 5), (3 + 5), (4 + 5), (5 + 5) So, the sum of the first 5 integers = 1 + 2 + 3 + 4 + 5 The sum of the last 5 integers = (1 + 5) + (2 + ...” June 2, 2018 Brent@GMATPrepNow posted a reply to If 2^x = 5 and 4^y = 20, what is the in the Problem Solving forum “Here''s a totally different approach: GIVEN: 2^x = 5 2^2 = 4 and 2^3 = 8 Since 5 is BETWEEN 4 and 8, we know that x is BETWEEN 2 and 3. From here, we can estimate. Since 5 is closer to 4 than it is to 8, we know that x will be closer to 2 than it is to 3. Let''s say that x ≈ 2.3 ...” June 2, 2018 Brent@GMATPrepNow posted a reply to If 2^x = 5 and 4^y = 20, what is the in the Problem Solving forum “There are several approaches we can take. Here''s the algebraic approach: Given: 2^x = 5 and 4^y = 20 Take second equation and rewrite 4 as 2² to get: (2²)^y = 20 Simplify to get: 2^(2y) = 20 We now have: 2^(2y) = 20 2^x = 5 This means we can write: 2^(2y)/2^x = 20/5 Simplify: 2^(2y ...” June 2, 2018 GMATGuruNY posted a reply to The distance between West-Town to East-Town is 15 kilometers in the Problem Solving forum “Since the two birds travel toward each other, they WORK TOGETHER to cover the 15 kilometers between them. When elements work together, ADD THEIR RATES. The combined rate for the two birds = 4+1 = 5 kpm. Of every 5 kilometers traveled by the two birds working together, 4 kilometers are traveled ...” June 2, 2018 GMATGuruNY posted a reply to The flow of water through a drainage pipe was monitored for in the Problem Solving forum “Let F = the first hour and T = the third hour. Since the second-hour rate is 50% faster than the first-hour rate, the second-hour rate (15 gallons) is 150% of the first-hour rate: 15 = (150/100)F 15 = (3/2)F 30 = 3F F = 10 gallons. Since 25% more water flows during the third hour than ...” June 2, 2018 Brent@GMATPrepNow posted a reply to If x^2-5x+6=2|x-1|, what is the product of all in the Problem Solving forum “Your approach is perfect. HOWEVER, once you determine that the solutions are x = 1, x = 3 and x = 5, you must then plug those values back into the original equation (x² - 5x + 6 = 2 - |x - 1| ) to identify any EXTRANEOUS roots. Let''s do that x = 1 Plug into the original equation to get: ...” June 1, 2018 Brent@GMATPrepNow posted a reply to A car travels from point A to B. The average speed of the in the Problem Solving forum “There''s a bit of ambiguity here. If the first half of the trip is spent at one speed, and the second half is spent at another speed, are we referring to half the total DISTANCE, or half the total TIME. For example, if it takes 10 hours to drive 200 miles, some people might refer to the first ...” June 1, 2018 Brent@GMATPrepNow posted a new topic called If 2^x = 5 and 4^y = 20, what is the in the Problem Solving forum “If 2^x = 5 and 4^y = 20, what is the value of x in terms of y? A) y – 2 B) (y + 1)/2 C) 2y – 2 D) y/2 – 2 E) 2y + 2 Answer: C Difficulty level: 600 – 650 Source: www.gmatprepnow.com” June 1, 2018 GMATGuruNY posted a reply to Today Jim is twice as old as Fred, and Sam is 2 years in the Problem Solving forum “We can PLUG IN THE ANSWERS, which represent Jim''s current age. When the correct answer is plugged in, Jim''s age four years ago will be 4 times Sam''s age four years ago. B: J=12 Since Jim is twice as old as Fred, F=6. Since Sam is 2 years younger than Fred, S=4. Four years ago, J = 12-4 = 8 ...” June 1, 2018 Brent@GMATPrepNow posted a reply to Is integer x odd? in the Data Sufficiency forum “Target question: Is integer x odd? Statement 1: 2x + 1 is odd Since 2x + 1 is ODD for any integer value, this statement doesn''t tell us anything. To understand what I mean, consider these two cases that satisfy statement 1: Case a: x = 1. Here, 2x + 1 = 2(1) + 1 = 3, which is odd. In ...” June 1, 2018 Brent@GMATPrepNow posted a reply to Today Jim is twice as old as Fred, and Sam is 2 years in the Problem Solving forum “TODAY''S AGES Today Jim is twice as old as Fred, and Sam is 2 years younger than Fred. Let x = Fred''s age TODAY So, 2x = Jim''s age TODAY And x - 2 = Sam''s age TODAY AGES FOUR YEARS AGO Let''s first determine Jim''s age and Sam''s age FOUR YEARS AGO If 2x = Jim''s age TODAY, then 2x - 4 ...” June 1, 2018 GMATGuruNY posted a reply to A set X; {a1, a2, a3, a4, a5} with non-zero elements have in the Problem Solving forum “Let Set X = {1, 2, 3, 4, 5} Since the set is evenly spaced, the average is equal to the median: M = 3. Since Set Y = {A₁-1, A₂-2, aA₃-3, A₄+5, A₅+1}, we get: Set Y = (0, 0, 0, 9, 6}. Mean of Set Y = (0+0+0+9+6)/5 = 3. As illustrated by the values in blue, the mean of Set Y = M. ...” June 1, 2018 GMATGuruNY posted a reply to Is x an even integer? in the Data Sufficiency forum “Statement 1 indicates that x is a perfect square: 1, 4, 9, 16, 25, 36, 49, 64... Statement 2 indicates that x is a perfect cube: 1, 8, 27, 64... When the statements are combined, x must be equal to a value contained in both lists. Thus: It''s possible that x=1. It''s possible that x=64. ...” June 1, 2018 GMATGuruNY posted a reply to In the sequence {A_n}, A1=1 and An = 3An-1 + 1 for all posit in the Problem Solving forum “A₁ = 1. A₂ = 3A₁ + 1 = (3*1) + 1 = 4. A₃ = 3A₂ + 1 = (3*4) + 1 = 13. A₄ = 3A₃ + 1 = (3*13) + 1 = 40. A₅ = 3A₄ + 1 = (3*40) + 1 = 121. A₆ = 3A₅ + 1 = (3*121) + 1 = 364. The results above indicate that the units digits repeat in a CYCLE OF 4: 1, 4, 3, 0...1, 4, 3, 0... ...” June 1, 2018 GMATGuruNY posted a reply to The nephew of Pliny the Elder wrote the only eyewitness in the Sentence Correction forum “The nearest eligible verb should be the main verb of the following clause. The blue statement above refers to answer choices that are incorrect because the nearest eligible verb is NOT the main verb of the following clause.” June 1, 2018 GMATGuruNY posted a reply to ratios in the Problem Solving forum “Container 1 : Container 2 : Container 3 = 3:4:5. In Container 1, M:W = 4:1, implying that water constitutes 1/5 of Container 1. In Container 2, M:W = 3:1, implying that water constitutes 1/4 of Container 2. In Container 3, M:W = 5:2, implying that water constitutes 2/7 of Container 3. The ...” June 1, 2018 beatthegmat started following pgupta June 1, 2018 Brent@GMATPrepNow posted a reply to A data set consists of three integers. What is the standard in the Data Sufficiency forum “Target question: What is the standard deviation of the 3-integer data set? Statement 1: The average (arithmetic mean) and the median are both 3 Let''s TEST some values. There are several sets that satisfy statement 1. Here are two: Case a: {3, 3, 3}. Notice that the median and mean both ...” June 1, 2018 GMATGuruNY posted a reply to In a high school debating team consisting of 2 freshmen, in the Problem Solving forum “Two of the four grades must be selected to represent the team at the championship. Because each grade on the debate team offers the same number of students -- 2 students per grade -- the probability of picking each grade is the same. Thus, the problem can be rephrased as follows: What is the ...” May 31, 2018 GMATGuruNY posted a reply to J = x rounded to the nearest TENTH, and K = x rounded to the in the Problem Solving forum “Since J = x rounded to the nearest tenth, J = 0.a (where a is a digit 0-9). Since K = x rounded to the nearest thousandth, K = 0.bcd (where b, c and d are any digits 0-9). The value of K implies that J-K can have at most three digits to the right of the decimal. Eliminate B, D and E. To ...” May 31, 2018 Brent@GMATPrepNow posted a reply to ratios in the Problem Solving forum “I think the fast way is to plug in some nice numbers. Since the two pieces of information regarding the night shift are related to the information regarding the day shift, let''s assign some nice values to the DAY shift. Number of workers Day shift: 5 workers (this is an easy number to find ...” May 31, 2018 GMATGuruNY posted a reply to profit and loss in the Problem Solving forum “At a price of$10 each, 100 seats are sold. For every $2 increase in the price per seat, 5 fewer seats will be sold. The following options are implied: 12*95 = 12(100-5) = 1200-60 = 1140. 14*90 = 1260. 16*85 = 16(80+5) = 1280+80 = 1360. In the blue option,$1360 in revenue is yielded by a seat ...”
May 31, 2018
GMATGuruNY posted a reply to ratios in the Problem Solving forum
“Day crew: Let the number of workers = 5. Let the number of boxes loaded by each worker = 4. Total number of boxes loaded = 5*4 = 20. Night crew: Since the night crew has 4/5 as many workers as the day crew, the number of workers on the night crew = (4/5)5 = 4. Since each worker on the ...”
May 31, 2018
GMATGuruNY posted a reply to ratios in the Data Sufficiency forum
“Statement 1: Among the blue-eyed wolves, the ratio of grey coats to white coats is 4:3. Since (blue-eyed grey):(blue-eyed white) = 4:3 -- and 4+3 = 7 -- the total number of blue-eyed wolves must be a MULTIPLE OF 7. Since there are MORE THAN 3 blue-eyed white wolves, the least possible case is as ...”
May 31, 2018
Brent@GMATPrepNow posted a new topic called J = x rounded to the nearest TENTH, and K = x rounded to the in the Problem Solving forum
“J = x rounded to the nearest TENTH, and K = x rounded to the nearest THOUSANDTH. If 0 < x < 1, what is the greatest possible value of J – K? A) 0.005 B) 0.0055 C) 0.05 D) 0.0505 E) 0.0555 Answer: C Difficulty level: 650 – 700 Source: www.gmatprepnow.com”
May 31, 2018
Brent@GMATPrepNow posted a reply to If each of the 4 circles above has radius 1, what in the Problem Solving forum
“Here''s a different approach: Let''s place a square around just one of the circles https://i.imgur.com/xuhL6Te.png Notice that the shaded area IN the square represents 1/4 of the TOTAL shaded area in the diagram. https://i.imgur.com/NrpovG1.png This means that the shaded area in ...”
May 31, 2018
Brent@GMATPrepNow posted a reply to $\frac{49^2-35^2}{14}=$ in the Problem Solving forum
“Vincen has demonstrated the approach I would have used. But, for "fun," here''s another approach. First, you need to know a nice trick for squaring numbers that end in 5 (the trick takes 2 minutes to learn, and then you can perform calculations like 65² and 35² in 5 seconds. Here''s ...”
May 31, 2018
Brent@GMATPrepNow posted a reply to Is 0.4 < x < 0.8? in the Data Sufficiency forum
“Target question: Is 0.4 < x < 0.8? Statement 1: 407x < 376 Divide both sides of the inequality by 407 to get: x < 376/407 Convert to a decimal to get: x < 0.92 There are several values of x that satisfy statement 1. Here are two: Case a: x = 0.6. In this case, the answer ...”
May 31, 2018
GMATGuruNY posted a reply to In the sequence {An}, A1=1 and An=An-1+ …. +A1. What is th in the Problem Solving forum
“To avoid confusion, the GMAT would probably rephrase the prompt along the following lines: Each term after the first two terms is equal to the sum of the preceding terms: A₃ = 2 + 1 = 3. A₄ = 3 + 2 + 1 = 6. A₅ = 6 + 3 + 2 + 1 = 12. A₆ = 12 + 6 + 3 + 2 + 1 = 24. The results ...”
May 31, 2018
Brent@GMATPrepNow posted a reply to Is x+y > 0? in the Data Sufficiency forum
“Target question: Is x+y > 0? Statement 1: x > y Let''s TEST some values. There are several values of x and y that satisfy statement 1. Here are two: Case a: x = 2 and y = 1 (this satisfies the condition that x > y). In this case, x + y = 2 + 1 = 3. So, the answer to the target ...”
May 31, 2018
GMATGuruNY posted a reply to At a certain library, 12 students borrowed a total of in the Problem Solving forum
“Statement I: 9 students borrow 6 books each Let the other 3 students be A, B and C. Since 9 students borrow 6 books each, the list of borrowed books is as follows: A, B, C, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6. Books borrowed by A+B+C = (total books borrowed) - (books borrowed by the 9 students in blue) ...”
May 31, 2018
GMATGuruNY posted a reply to Jack gave 20% discount on sale of 15 toys & generated in the Problem Solving forum
“First day: $600 in revenue yields a profit of 25% = 1/4. Implication: The$600 in revenue is equal to 5/4 of the cost of 15 toys: 600 = (5/4)C C = 480. Thus: Profit for the 15 toys on the first day = (revenue) - (cost) = 600-480 = 120. Second day: The $600 first-day revenue includes a ...” May 31, 2018 GMATGuruNY posted a reply to John spent 72% of his budget on fruits (including apples) in the Problem Solving forum “Let John''s budget =$100. Since 72% of the budget is spent on fruit, the amount spent on fruit = $72. Since 54% of the budget is spent on apples, the amount spent on apples =$54. What percent of the money spent on fruit was not spent on apples? Of the $72 spent on fruit, the amount not spent ...” May 31, 2018 GMATGuruNY posted a reply to The price of onions increases by 25%, by what percent should in the Problem Solving forum “Let the original price per onion =$4, implying that the price per onion after a 25% increase = $4 + (25% of 4) = 4 + 1 =$5. Let the total amount spent in each case = the LCM of the two prices = $20. Number of onions purchased at the original$4 price = (total spent)/(price per onion) = 20/4 = ...”
May 30, 2018
Brent@GMATPrepNow posted a reply to If [x] is the greatest integer less than or equal to x, what in the Problem Solving forum
“, not 3 Cheers, Brent”
May 30, 2018
GMATGuruNY posted a reply to In the initial planning stages, the condominium corporation in the Sentence Correction forum
“In B and C, their (plural) does not agree with corporation (singular). Eliminate B and C. D: only were taken...not those Here, were taken (verb) is illogically contrasted with those (pronoun). Eliminate D. E: only taken...not those Here, taken (participle) is illogically contrasted with ...”
May 30, 2018
GMATGuruNY posted a reply to In the last twenty years, despite the chauvinism of European in the Sentence Correction forum
“In A and B, the present tense verbs are respected and are becoming cannot serve to express an action performed IN THE LAST TWENTY YEARS. Eliminate A and B. In C, California wines (subject) lacks a verb. The result is an incomplete sentence. Eliminate C. E implies the following: California ...”
May 30, 2018
GMATGuruNY posted a reply to Challenge question: On the x-y coordinate plane, lines j and in the Data Sufficiency forum
“Statement 1: Substituting x=1 and y=-3 into the equations for lines j and k, we get: Line j: b(1) - a(-3) = 5 b + 3a = 5. Line k: 2b(1) - 3a(-3) = -5 2b + 9a = -5. The two equations in green can be solved for a and b. Thus, the value of a+b can be determined. SUFFICIENT. Statement 2: a ...”
May 30, 2018
GMATGuruNY posted a reply to If the distances between each pair of consecutive ticks are in the Problem Solving forum
“- Since the ticks are equally spaced, the difference between x and 2¹¹ is equal to the the difference between 2¹¹ and 2¹⁰: x - 2¹¹ = 2¹¹ - 2¹⁰ x = 2¹¹ + 2¹¹ - 2¹⁰ x = 2¹⁰(2 + 2 - 1) x = 2¹⁰(3). The correct answer is B.”
May 30, 2018
Brent@GMATPrepNow posted a reply to If the distances between each pair of consecutive ticks are in the Problem Solving forum
“If the distances between each pair of consecutive ticks are equal, we can write: 2^11 - 2^10 = x - 2^11 We must solve this equation for x.... Add 2^11 to both sides: 2^11 + 2^11 - 2^10 = x Combine the two 2^11''s to get: 2(2^11) - 2^10 = x Rewrite 2 as 2^1 to get: (2^1)(2^11) - 2^10 = x ...”
May 30, 2018
Brent@GMATPrepNow posted a new topic called Challenge question: On the x-y coordinate plane, lines j and in the Data Sufficiency forum
“Challenge question On the x-y coordinate plane, lines j and k intersect at one point. If the equation of line j is bx + ay = 5, and the equation of line k is 2bx - 3ay = -5, what is the value of a + b? (1) Lines j and k intersect at (1, -3). (2) a - b = -3 Answer A Difficulty ...”
May 30, 2018
Brent@GMATPrepNow posted a reply to For what value of x are the mode, the median and the average in the Problem Solving forum
“I sincerely doubt that there''s a better (i.e., faster) approach than the one you describe. One option would be to test the answer choices, but your approach is likely faster. The key concept (which you have identified) is that the mode MUST be 60, since we already have two 60''s. Cheers, ...”
May 30, 2018
Brent@GMATPrepNow posted a reply to If x and y are positive integers less than 10, which in the Problem Solving forum
“When I scan the statements, I see that ii and iii look easier, so I''ll start with those. ii) y√x = x√y We can quickly see that, if x = y, then this statement is TRUE. For example, if x = 1 and y = 1, we get 1√1 = 1√1, which is true. So, statement ii COULD be true. Check the ...”
May 30, 2018
Brent@GMATPrepNow posted a reply to Is the positive integer P a multiple of 11 [A] P = M+N in the Data Sufficiency forum
“Target question: Is P a multiple of 11 Statement 1: P = M+N where M and N are integers Definitely NOT SUFFICIENT Statement 2: M is divisible by 11 and N is not divisible by 11 Since there''s no information about P, there''s no way to answer the target question Statement 2 is NOT ...”
May 30, 2018
Brent@GMATPrepNow posted a reply to Which of the following fractions has the greatest value? (A in the Problem Solving forum
“We might also make things easier by getting rid of the fractions by multiplying all of the values by the lowest common denominator, which is (3^4)(5^5) let'' s do this... (A) 1/(3^2)(5^2) x (3^4)(5^5) = (3^2)(5^3) = (9)(125) (B) 2/(3^2)(5^2) x (3^4)(5^5) = (2)(3^2)(5^3) = (2)(9)(125) (C) ...”
May 30, 2018
GMATGuruNY posted a reply to If 5 percent of the personnel stationed at army base M are o in the Data Sufficiency forum
“Statements combined: Case 1: Total number of personnel = 5,200 Case 2: Total number of personnel = 5,200,000 Clearly, the number of non-officers in Case 2 will be greater than the number of non-officers in Case 1. Since the number of non-officers can be different values, the two statements ...”
May 29, 2018
GMATGuruNY posted a reply to If each of the 4 circles above has radius 1, what in the Problem Solving forum
“https://s22.postimg.cc/aompuia8t/four_circles.png Area of the blue square above = s² = 2² = 4. Area of each circle = πr² = π(1²) = π. Each unshaded portion in the blue square constitutes 1/4 of a circle. Thus, the 4 unshaded portions combined constitute one full circle. Shaded portion ...”
May 29, 2018
Brent@GMATPrepNow posted a reply to Mode in the Problem Solving forum
“This comes down to the distinction between "the mode" and "a mode" The mode of a set of 4 positive integers is 7. This suggests that there is only 1 mode. ASIDE: In the set {1, 2, 4, 4}, there''s one mode: 4 In the set {3, 3, 4, 4}, there are two modes: 3 and 4 In the ...”
May 29, 2018
Brent@GMATPrepNow posted a new topic called If each of the 4 circles above has radius 1, what in the Problem Solving forum
“https://i.imgur.com/bzRq3H2.png If each of the 4 circles above has radius 1, what is the area of the shaded region? A) 1 – π/4 B) 2 – π/4 C) 2 – π/2 D) 4 – π E) 4 – 2π Answer: D Difficulty level: 700+ Source: www.gmatprepnow.com”
May 29, 2018
GMATGuruNY posted a reply to How many 4-digit integers have the form abcd, where b is eve in the Problem Solving forum
“The sum in red is incorrect. Correct: 900+540+180 = 1620. Could you please correct the typo in your post?”
May 29, 2018
GMATGuruNY posted a reply to The Metropolitan Cooking Academy surveyed in the Critical Reasoning forum
“sus- means beneath. -pect means look. to suspect = to LOOK BENEATH something and render a BELIEF about it. John suspects that the race will be difficult. Conveyed meaning: Having "looked beneath" the race, John BELIEVES that it will be difficult. TO SUSPECT + THAT-CLAUSE implies ...”
May 29, 2018
GMATGuruNY posted a reply to The operation # is defined to be multiplication. Which of th in the Problem Solving forum
“Ⅰ. x#1=x If we replace # with multiplication, we get: x*1 = x x = x. Since the resulting equation is valid, Statement I must be true. Eliminate B and C, which do not include Statement I. Ⅲ. x#y=y#x If we replace # with multiplication, we get: x*y = y*x xy = yx. Since the ...”
May 29, 2018
GMATGuruNY posted a reply to p, q, x, and y are positive integers. If p^mq^n=72, what is in the Data Sufficiency forum
“I believe that the prompt has a typo and should read as follows: Both statements are satisfied by the following cases: Case 1: p=2, m=3, q=3 and n=2, with the result that m>n, mn=3*2=6, and (p^m)(q^n) = 2³3² = 72 In this case, p+q = 2+3 = 5. Case 2: p=1, m=6, q=72 and n=1, with the ...”
May 29, 2018
Brent@GMATPrepNow posted a reply to If x is a positive integer, which of the following COULD in the Problem Solving forum
“There''s a triangle property that says: (length of LONGEST side) < (SUM of the other two lengths) So, for example, 2, 3, 6 CANNOT be the lengths of sides in a triangle, because 6 > 2 + 3 i) x, 2x + 2, x + 2 Since x is a positive integer, we can see that 2x+2 will be the LONGEST side. ...”
May 28, 2018
Brent@GMATPrepNow posted a reply to If 52x + 604 = 1400 and 151 + 13y in the Problem Solving forum
“The key here is to avoid solving the two equations for x and y. We can do this by recognizing that each term in the equation 52x + 604 = 1400 is 4 times each term in the equation 151 + 13y = 350 For example, (4)(151) = 604 And (4)(13) = 52 And (4)(350) = 1400 So, if we take 151 + 13y = ...”
May 28, 2018
Brent@GMATPrepNow posted a new topic called If x and y are positive integers less than 10, which in the Problem Solving forum
“If x and y are positive integers less than 10, which of the following COULD be true? i) √x + √y = √(x + y) ii) y√x = x√y iii) √x - √y = √(x - y) A) i only B) i and ii only C) i and iii only D) ii and iii only E) i,ii and iii Answer: D Difficulty level: 600 – 650 ...”
May 28, 2018
Brent@GMATPrepNow posted a reply to If [x] is the greatest integer less than or equal to x in the Problem Solving forum
“Here are some related questions to practice with: https://www.beatthegmat.com/is-the-greatest-integer-less-than-or-equal-to-the-t299030.html https://www.beatthegmat.com/denotes-the-least-integer-greater-than-or-equal-to-x-t276815.html ...”
May 28, 2018
Brent@GMATPrepNow posted a reply to A soda machine sells both bottles and cans, and no other in the Problem Solving forum
“Let B = # of bottles sold Let C = # of cans sold If on one day, the soda machine sold 250 total beverages... We can write: B + C = 250 ...and yielded $315. So: 1.5B + 0.75C = 315 We can eliminate the decimals by multiplying both sides by 4 to get: 6B + 3C = 1260 How many more bottles ...” May 28, 2018 Brent@GMATPrepNow posted a reply to Are x and y both positive? in the Data Sufficiency forum “Target question: Are x and y both positive? Statement 1: 2x - 2y = 1 There are several pairs of numbers that satisfy this condition. Here are two: Case a: x = 1 and y = 0.5, in which case x and y are both positive Case b: x = -0.5 and y = -1, in which case x and y are not both positive ...” May 28, 2018 GMATGuruNY posted a reply to If a set consists of all positive digits less than or in the Problem Solving forum “The MODE of a set is the number that appears the most often. Positive digits less than or equal to 3: 1, 2, 3. Squares of these digits: 1, 4, 9. Resulting set when the two lists above are combined: 1, 1, 2, 3, 4, 9. In the resulting set, the number that appears the most often is 1. The ...” May 28, 2018 GMATGuruNY posted a reply to One robot builds a robot in 1 hour, another one builds a in the Problem Solving forum “Let each robot = 2 units. Since a faster robot takes 1 hour to produce a 2-unit robot, the rate for a faster robot = w/t = 2/1 = 2 units per hour. Since a slower robot takes 1 hour to produce a 2-unit robot, the rate for a slower robot = w/t = 2/2 = 1 unit per hour. Each additional robot produced ...” May 28, 2018 GMATGuruNY posted a reply to Are x and y both positive? in the Data Sufficiency forum “Statement 1: 2x-2y = 1. 2(x-y) = 1. x-y = 1/2. x = y + 1/2. It''s possible that y=1/2 and x=1. It''s possible that y=0 and x=1/2. Since in the first case x and y are both positive and in the second case x and y are not both positive, insufficient. Statement 2: x/y > 1. It''s possible ...” May 28, 2018 GMATGuruNY posted a reply to A soda machine sells both bottles and cans, and no other in the Problem Solving forum “Price per bottle = 150 cents. Price per can = 75 cents. Average price for the MIXTURE of bottles and cans = (total revenue)/(total number of beverages) = (315 dollars)/(250 beverages) = 63/50 dollars = 126/100 dollars = 126 cents. To determine the ratio of bottles to cans, we can use ...” May 28, 2018 May 28, 2018 Brent@GMATPrepNow posted a new topic called If 52x + 604 = 1400 and 151 + 13y in the Problem Solving forum “If 52x + 604 = 1400 and 151 + 13y = 350, what is the value of x – y? A) -11/13 B) -11/52 C) 0 D) 11/52 E) 11/13 Answer: C Difficulty level: 550 – 600 Source: www.gmatprepnow.com” May 27, 2018 Brent@GMATPrepNow posted a new topic called If x is a positive integer, which of the following COULD in the Problem Solving forum “If x is a positive integer, which of the following COULD represent the lengths of the 3 sides of a triangle? i) x, 2x + 2, x + 2 ii) 2x, 3x, 2x - 7 i) x/2, x/6, x/4 A) i only B) ii only C) iii only D) i and ii only E) ii and iii only Answer: B Difficulty level: 600 – 650 Source: ...” May 26, 2018 Brent@GMATPrepNow posted a reply to subject-verb agreement in the Sentence Correction forum “This is a tricky question because the subject appears AFTER the verb. In most sentences, the verb appears after the subject. Example: Yesterday, Jane bought five acres of ocean floor. The primary verb phrase is has/have grown. To determine the subject that corresponds with this ...” May 26, 2018 Brent@GMATPrepNow posted a reply to If x, y and z are different positive integers, and y is the in the Problem Solving forum “Let''s examine each statement separately... i) y < x If y is the greatest common divisor of x, y and z, we can also say that y is a divisor of x IMPORTANT CONCEPT: The divisors of a number are always less than or equal to that number. For example, the divisors of 10 are {1, 2, 5, 10). So, ...” May 26, 2018 GMATGuruNY posted a reply to South Korea has witnessed the world's most dramatic growth in the Sentence Correction forum “A: from conversions rather than the population Here, CONVERSIONS are illogically compared to THE POPULATION. Eliminate A. C: conversions instead of the...increasing Here, CONVERSIONS are illogically compared to THE INCREASING. D and E: Church membership is expanding by 6.6 percent a year, ...” May 26, 2018 GMATGuruNY posted a reply to A lecture course consists of 595 students. The students are in the Problem Solving forum “Number of discussion sections = (total number of students)/(number of students per section). section. Since the total number of students = 595, the number of students per section must be a FACTOR OF 595. The question stem asks for a value that CANNOT be the number of students per classroom. ...” May 26, 2018 GMATGuruNY posted a reply to There are 8 disks in a container that are numbered 23, 24, in the Problem Solving forum “P = (good outcomes)/(all possible outcomes). All possible outcomes: From the 8 numbers, the number of ways to choose 4 = 8C4 = (8*7*6*5)/(4*3*2*1) = 70. Good outcomes: For 27 to be the median of the 5 numbers, two of the 4 numbers selected must be LESS THAN 27, while the other two must be ...” May 26, 2018 Brent@GMATPrepNow posted a reply to A set has exactly five consecutive positive integers in the Problem Solving forum “What''s the source of this question? It seems very un-GMAT-like to "round" 16 2/3 to 16.4 without some kind of language that suggests we''re looking for the best APPROXIMATE answer.” May 26, 2018 Brent@GMATPrepNow posted a reply to If Lucy walks to work at a rate of 4 miles per hour in the Problem Solving forum “A quick approach is to assign a nice value to the distance from home to work. That is, we want a distance that works well with the two speeds (4 mph and 6 mph) Let''s say the distance from home to work = 12 miles Time TO work = distance/speed = 12/4 = 3 hours Time FROM work = distance/speed = ...” May 25, 2018 Brent@GMATPrepNow posted a reply to Joe’s restaurant has exactly 3 items on its menu in the Data Sufficiency forum “Target question: Can the restaurant make at least 100 meals? Statement 1: Each Prawns Only meal requires 15 prawns The restaurant has 592 prawns. Before calculating 592/15, we can see that, IF the restaurant had 600 prawns, then we could make 40 Prawns Only meals. Since there are 592 ...” May 25, 2018 Brent@GMATPrepNow posted a reply to Solution X is 30% alcohol by volume, solution Y is 10% in the Problem Solving forum “We can avoid tedious calculations by creating this mixture in parts First combine 20 gallons of solution Y (10% alcohol) with 20 gallons of solution Z (40% alcohol) Since we have EQUAL volumes of each solution, the percentage of alcohol in the resulting mixture will be the AVERAGE of the two ...” May 25, 2018 Brent@GMATPrepNow posted a reply to If 0 < x < y, then which of the following MUST be true in the Problem Solving forum “Let''s examine each statement individually: A) (x + 2)/(y + 2) > x/y Since y is POSITIVE, we can safely take the given inequality and multiply both sides by y to get: (y)(x+2)/(y+2) > x Also, if y is POSITIVE, then (y+2) is POSITIVE, which means we can safely multiply both sides by (y+2) ...” May 25, 2018 Brent@GMATPrepNow posted a reply to Which of the following leads to the correct mathematical in the Problem Solving forum “------ASIDE----------------------- When we want to arrange a group of items in which some of the items are identical, we can use something called the MISSISSIPPI rule. It goes like this: If there are n objects where A of them are alike, another B of them are alike, another C of them are alike, ...” May 25, 2018 Brent@GMATPrepNow posted a reply to Mrs. Jones divided$120 evenly among her children. Tom, the in the Problem Solving forum
“Let x = # children that Mrs. Jones has This means x-1 = # of Tom''s siblings. If Tom gives each sibling $6, the total amount that Tom gave to siblings = 6(x - 1) AFTER giving$6 to each sibling, Tom had $12 remaining. So, BEFORE he gave away the money, the amount Tom had = 12 + 6(x - 1) = 12 ...” May 25, 2018 GMATGuruNY posted a reply to Mrs. Jones divided$120 evenly among her children. Tom, the in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the total number of children. When the correct answer is plugged in, Tom''s resulting amount = $12. B: 5 children, implying that the original share per child = 120/5 = 24 After Tom gives$6 to each of his 4 siblings, Tom''s resulting amount = 24 - ...”
May 25, 2018
GMATGuruNY posted a reply to Which of the following leads to the correct mathematical in the Problem Solving forum
“This problem does indeed require that we count the number of possible arrangements. BANANA = 6 letters. The number of ways to arrange 6 distinct elements = 6!. But the elements here are not all distinct. There are 3 identical A''s and 2 identical N''s. When an arrangement includes ...”
May 25, 2018
GMATGuruNY posted a reply to What is the remainder when 7^100 is divided by 50? in the Problem Solving forum
“If the last two digits of an integer form a value less than 50, then dividing the integer by 50 will yield a remainder equal to the last 2 digits of the integer: 121/50 = 2 R21 9044/50 = 180 R44 25038/50 = 500 R38. Examine the last two digits for small powers of 7 and look for a PATTERN: 7¹ ...”
May 25, 2018
Brent@GMATPrepNow posted a reply to If x = m − 1, which of the following is true when m = 1/2? in the Problem Solving forum
“Given: x = m - 1 So, if m = 1/2, then x = 1/2 - 1 = -1/2 Or we can say that x = -0.5 So, x^0 = (-0.5)^0 = 1 x^1 = (-0.5)^1 = -0.5 x^2 = (-0.5)^2 = 0.25 x^3 = (-0.5)^3 = -0.125 The biggest value (1) is for x^0 The next biggest value (0.25) is for x^2 The next value (-0.125) is for x^3 ...”
May 25, 2018
Brent@GMATPrepNow posted a reply to Is the product pqr divisible by 12? in the Data Sufficiency forum
“Target question: Is the product pqr divisible by 12? It certainly LOOKS like the correct answer is C. However, we are not told whether ALL of the numbers (p, q and r ) are integers. Sure, statements 1 and 2 indirectly tell us that p and q are divisible by 3 and 4, but r may or may not be an ...”
May 25, 2018
GMATGuruNY posted a reply to To understand why some people are incapable to learn in the Sentence Correction forum
“A and B: some people are incapable to learn The portion in red is unidiomatic. Incorrect: X is incapable to do Y Correct: X is incapable OF doing Y Eliminate A and B. C: To understand...the brains of 96 convicts Here, to understand seems to refer to the brains, implying that THE BRAINS are ...”
May 25, 2018
GMATGuruNY posted a reply to The alarm of a certain clock rings every 15 minutes. If the in the Problem Solving forum
“After the first ring at 12:15, 23 additional rings are required to yield a total of 24 rings. Since the clock rings every 1/4 hour, and 23 additional rings are required, the total time needed for 23 additional rings = (¼)(23) = 5 ¾ hours = 5 hours, 45 minutes. Thus: 24th ring = (12:15) + (5:45) ...”
May 25, 2018
GMATGuruNY posted a reply to Let abcd be a general four-digit number and all the in the Problem Solving forum
“Step 1: Choose 3 digits Since 0 < d ≤ 9, a, b and c must be composed of 3 digits with a nonzero sum less than or equal to 9: 1, 2, 3 --> d = 1+2+3 = 6 1, 2, 4 --> d = 1+2+4 = 7 1, 2, 5 --> d = 1+2+5 = 8 1, 2, 6 --> d = 1+2+6 = 9 1, 3, 4 --> d = 1+3+4 = 8 1, 3, 5 --> d ...”
May 25, 2018
beatthegmat posted a reply to Delete my account in the Suggestions and Feedback forum
“Hi sophylaelin, Your account has been deleted. Best, The BeatTheGMAT Team”
May 25, 2018
beatthegmat posted a reply to Delete Account in the Suggestions and Feedback forum
“Hi Commoditybull, Your account has been deleted. Best, The BeatTheGMAT Team”
May 25, 2018
GMATGuruNY posted a reply to Three men and 2 women will present 5 consecutive speeches in the Problem Solving forum
“P(at least 2 men speak consecutively) = 1 - P(no men speak consecutively). For no men to speak consecutively, the order of the speeches must be as follows: man-woman-man-woman-man. P(1st speaker is a man) = 3/5. (Of the 5 speakers, 3 are men.) P(2nd speaker is a woman) = 2/4. (Of the 4 ...”
May 24, 2018
GMATGuruNY posted a reply to By approximately what percent did the sale of nonfiction in the Problem Solving forum
“According to the undashed line on the chart: Nonfiction in 1984 = 40%. Nonfiction in 1987 ≈ 58%. Thus: Percent increase from 40 to 58 = (difference/original) * 100 = (18/40) * 100 = 45%. The correct answer is A.”
May 24, 2018
DavidP started following chia021
May 24, 2018
GMATGuruNY posted a reply to It has been estimated that the annual cost to the United in the Sentence Correction forum
“In A, B and D, annual and a year are redundant. Eliminate A, B and D. E: It has been estimated...because of illiteracy. Here, a reader could construe that illiteracy CAUSES 20 billion a year to be estimated. Not the intended meaning. Eliminate E. The correct answer is C.”
May 24, 2018
GMATGuruNY posted a reply to The median of 5 numbers is 50, and their range is 40. If the in the Problem Solving forum
“I suspect that the question stem has a typo and should read as follows: The median of 5 numbers is 50. The median of the 3 smallest numbers is 40. The 5 numbers are as follows: __ 40 __ 50 __ __ Test whether I, II and III could be the range of the 3 largest numbers. If the ...”
May 24, 2018
GMATGuruNY posted a reply to How many 4-digit integers have the form abcd, where b is eve in the Problem Solving forum
“Case 1: b=0, implying that d ≥ 0 Number of options for d = 10. (Any of the 10 digits.) Number of options for a = 9. (Any digit 1-9.) Number of options for c = 10. (Any of the 10 digits.) To combine the options above, we multiply: 10*9*10 = 900. Case 2: b=2, implying that d ≥ 4 Number of ...”
May 24, 2018
GMATGuruNY posted a reply to When the digits of two-digit, positive integer M are reverse in the Data Sufficiency forum
“Let T = the TENS digit of M and U = the nonzero UNITS digit of M. Then: M = 10T + U. Since the digits in N are reversed, N = 10U + T. Resulting difference: M-N = (10T + U) - (10U + T) = 9T - 9U = 9(T-U). Since the greatest possible value of T-U = 9-1 = 8, M-N must be a MULTIPLE OF 9 NO ...”
May 24, 2018
GMATGuruNY posted a reply to If a and b are positive integers in the Data Sufficiency forum
“It is a good idea to know the following: 1/11 = 0.090909... Thus: 9/11 = 9(0.090909...) = 0.818181...”
May 23, 2018
GMATGuruNY posted a reply to At 8am on Thursday, two workers, A and B, each start working in the Problem Solving forum
“Worker A takes two 8-hour days to produce a lamp, for a total of 16 hours. Since Worker B finishes sometime Friday morning, B takes between 8 and 12 hours to produce a lamp. Let each lamp = 48 units. A''s rate = w/t = 48/16 = 3 unit per hour. If B takes 8 hours to produce a lamp, B''s rate = ...”
May 23, 2018
GMATGuruNY posted a reply to Is k^2 odd? in the Data Sufficiency forum
“The median for an EVEN NUMBER of consecutive integers will always be a NON-INTEGER: 1, 2 --> median = 1.5 1, 2, 3, 4 --> median = 2.5. 1, 2, 3, 4, 5, 6 --> median = 3.5. The median for an ODD NUMBER of consecutive integers will always be an INTEGER: 1, 2, 3 --> median = 2. 1, 2, ...”
May 23, 2018
Brent@GMATPrepNow posted a reply to If x and y are positive integers, and 4x is the least in the Problem Solving forum
“Let''s find some values for x and y that satisfy the given information and see what happens.... If x = 3 and y = 4, then the least common multiple of x and y is 12. Notice that 12 = 4x, so x = 3 and y = 4 work perfectly. Now let''s plug x = 3 and y = 4 into the statements... i) 3 is the ...”
May 23, 2018
Brent@GMATPrepNow posted a reply to If x and y are integers, and in the Data Sufficiency forum
“Target question: What is the value of x? Given: x and y are non-zero integers, and When we see this given information, we should be thinking of a few different ways for the equation to hold true. For example, if x = 1, then (-x)^x = (-1)^1 = -1. What value of y is necessary for y^y to ...”
May 23, 2018
Brent@GMATPrepNow posted a new topic called Solution X is 30% alcohol by volume, solution Y is 10% in the Problem Solving forum
“Solution X is 30% alcohol by volume, solution Y is 10% alcohol by volume, and solution Z is 40% alcohol by volume. If 41 gallons of solution X, 20 gallons of solution Y, and 20 gallons of solution Z are combined, which of the following best approximates the percentage of alcohol in the resulting ...”
May 23, 2018
Brent@GMATPrepNow posted a reply to If wxy ≠ 0, does x = y? in the Data Sufficiency forum
“Target question: Does x = y? Given: wxy ≠ 0 IMPORTANT: When I scan the two statements, I can see that this question is testing us on our knowledge about when we can conclude that two exponents are equal. For statement 1, many students will conclude that, if w^x = w^y, then it must be ...”
May 23, 2018
GMATGuruNY posted a reply to Is x - y > 0? in the Data Sufficiency forum
“Question stem, rephrased: Is x > y? Statement 1: Case 1: y=0, implying that x > |0| and thus x > 0 Case 2: y=1, implying that x > |1| and thus x > 1 Case 3: y=-1, implying that x > |-1| and thus x > 1 Case 4: y=10, implying that x > |10| and thus x > 10 Case 5: ...”
May 23, 2018
GMATGuruNY posted a reply to If x and y are positive integers, does x/y = 7/9? in the Data Sufficiency forum
“Statement 1: Test whether it''s possible that x/y = 7/9 when x=103: 103/y = 7/9 7y = 103*9 y = (103*9)/7 = noninteger. Since y must be a positive integer, it is not possible that x/y = 7/9. Thus, the answer to the question stem is NO. SUFFICIENT. To compare fractions: 1. Multiply the ...”
May 23, 2018
Brent@GMATPrepNow posted a reply to What is the sum of the areas of two squares with sides of in the Problem Solving forum
“Area of square = (length of one side)² Area of square with side of length 1 = 1² = 1 Area of square with side of length 3 = 3² = 9 Sum of areas = 1 + 9 = 10 Answer: D Cheers, Brent”
May 23, 2018
GMATGuruNY posted a reply to In 2003, the number of girls attending Jefferson High in the Problem Solving forum
“Test the SMALLEST POSSIBLE CASE. Since both populations increase by 20% = 1/5, the original number of boys and the original number of girls must each be a multiple of 5. Since in 2003 there must be an equal number of boys and girls, the smallest possible case is as follows: 2003: boys = 5 and ...”
May 23, 2018
GMATGuruNY posted a reply to Much like the belief that the world is flat, challenged by in the Sentence Correction forum
“OA: Much like the belief that the world is flat, challenged by Galileo, there are currently widely-held hypotheses. Here, COMMA + challenged is incorrectly preceded by the clause in red. A COMMA + VERBed modifier must be preceded by a NOUN or NOUN PHRASE. Also, the referent for an introductory ...”
May 23, 2018
GMATGuruNY posted a reply to Low temperature in the Sentence Correction forum
“The conclusion in red is not necessarily true. and may serve to connect concurrent actions. Mary was sitting and reading. Here, the two actions in blue are performed at the same time.”
May 23, 2018
GMATGuruNY posted a reply to How many 4-digit integers have the form abcd, where b is eve in the Problem Solving forum
“Careful! The cases above are invalid because they violate the condition that b must be even.”
May 23, 2018
GMATGuruNY posted a reply to "A" and "B" run around a circular track in the Problem Solving forum
“Middle of the 5th round = 4.5 laps. (4 full laps + half of the 5th lap.) Since A''s rate = 70 seconds per lap, the time for A to complete 4.5 laps = (total number of laps)(number of seconds per lap) = (4.5)(70) = 315 seconds. We can PLUG IN THE ANSWERS, which represent the number of seconds for ...”
May 22, 2018
GMATGuruNY posted a reply to NUMBERS in the Problem Solving forum
“For the 3 words to be switched on simultaneously, each must reach the END OF ITS RESPECTIVE ON-OFF CYCLE. On-off cycle for RON: (3 seconds on) + (47/6 seconds off) = 18/6 + 47/6 = 65/6 seconds. On-off cycle for AND: (3 seconds on) + (4/3 seconds off) = 18/6 + 8/6 = 26/6 seconds. On-off cycle ...”
May 22, 2018
GMATGuruNY posted a reply to NUMBERS in the Problem Solving forum
“When an integer is raised to consecutive powers, the resulting units digits repeat in a CYCLE. 57867¹⁹²⁵⁷⁶: 7¹ --> units digit of 7. 7² --> units digit of 9. (Since the product of the preceding units digit and 7 = 7*7 = 49.) 7³ --> units digit of 3. (Since the product ...”
May 22, 2018
GMATGuruNY posted a reply to NUMBERS in the Problem Solving forum
“Make a list of two-digit numbers that are 18 less than a perfect square: 36-18 = 18 49-18 = 31 64-18 = 46 81-18 = 63 100-18 = 82 Check whether each option above is equal to 18 less than the square of its digit sum: 18 = (1+8)² - 18 31 = (3+1)² - 18 46 = (4+6)² - 18 63 = (6+3)² - 18 ...”
May 22, 2018
GMATGuruNY posted a reply to NUMBERS in the Problem Solving forum
“To MINIMIZE the number of rooms, we must MAXIMIZE the number of students per room. Let x = the number of students per room. Since each room must have x students -- and we want x to be as large as possible -- x must be equal to the GREATEST COMMON FACTOR of 315, 420, and 1155: 315 = 3*3*5*7 420 ...”
May 22, 2018
Brent@GMATPrepNow posted a new topic called Joe’s restaurant has exactly 3 items on its menu in the Data Sufficiency forum
“Joe’s restaurant has exactly 3 items on its menu: Prawns Only meal, Steak Only meal, and Steak & Prawns meal. If the kitchen has 592 prawns and 30 pounds of steak, can it make at least 100 meals? (1) Each Prawns Only meal requires 15 prawns (2) Each Steak Only meal requires 0.62 pounds ...”
May 22, 2018
Brent@GMATPrepNow posted a new topic called If x, y and z are different positive integers, and y is the in the Problem Solving forum
“If x, y and z are different positive integers, and y is the greatest common divisor of x, y and z, which of the following MUST be true? i) y < x ii) the greatest common divisor of x and z is greater than y iii) the greatest common divisor of x and y is y A) ii only B) i and ii only C) i ...”
May 22, 2018
Brent@GMATPrepNow posted a reply to If p is a positive integer, is p even? in the Data Sufficiency forum
“Target question: Is p EVEN? ASIDE: Another way to handle statement 2 is to apply a useful rule: If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc. For example, if k divided by 5 leaves a remainder of 1, then the possible values of k ...”
May 22, 2018
GMATGuruNY posted a reply to How many gallons of water must be mixed with 1 gallon in the Problem Solving forum
“Salt percentage in the original solution: 15%. Salt percentage in the added water: 0%. Salt percentage in the mixture: 10%. Let S = the original solution and W = the added water. The following approach is called ALLIGATION -- a very efficient way to handle MIXTURE PROBLEMS. Step 1: Plot ...”
May 22, 2018
GMATGuruNY posted a reply to How many gallons of water must be mixed with 1 gallon in the Problem Solving forum
“Amount of salt = 15% of 1 gallon = 0.15 gallon. We can PLUG IN THE ANSWERS, which represent the amount of water that must be added to reduce the salt concentration to 10%. B: 2/3 gallon Salt concentration = (amount of salt)/(new total volume) = 0.15/(1 + 2/3) = 0.15/(5/3) = (0.15 * 3)/5 = ...”
May 22, 2018
Brent@GMATPrepNow posted a reply to How many gallons of water must be mixed with 1 gallon in the Problem Solving forum
“Let x = the volume (in gallons) of water that must be added to the existing mixture. We have 1 gallon of the EXISTING mixture, which is 15% salt. 15% of 1 = 0.15 So, the EXISTING mixture contains 0.15 gallons of salt When we add x gallons of water to the existing mixture, the NEW mixture has ...”
May 22, 2018
GMATGuruNY posted a reply to Publishers of travel guides for families typically suffer in the Sentence Correction forum
“B: vacations budgets are low and their efforts to save are intense Here, their seems to refer to vacation budgets -- the nearest preceding plural noun -- implying that the efforts of VACATION BUDGETS are intense. This meaning is nonsensical. Eliminate B. C: more intense efforts Here, it is ...”
May 22, 2018
GMATGuruNY posted a reply to x+y=? in the Data Sufficiency forum
“Statement 1: Case 1: x=0, with the result that y = 3x = 3*0 = 0 In this case, x+y = 0+0 = 0. Case 2: x=1, with the result that y = 3x = 3*1 = 3 In this case, x+y = 1+3 = 4. Since x+y can be different values, INSUFFICIENT. Statement 2: Neither side of the equation can be negative, since the ...”
May 22, 2018
GMATGuruNY posted a reply to If ABCD is square and both AED and CDF are equilateral in the Problem Solving forum
“Because triangles ADE and CDF are equilateral, we get: https://s9.postimg.cc/xtqgckd9n/square_and_equilateral_triangles_1.png Because triangle AED is equilateral, DE = AD. Because ABCD is a square, AD = CD. .Thus, DE=CD, with the result that triangle CDE is isosceles: ...”
May 22, 2018
Brent@GMATPrepNow posted a reply to A jar contains 6 red marbles and 9 blue marbles. If Evelyn in the Problem Solving forum
“P(both are same color) = P(1st marble is red AND 2nd marble is red OR 1st marble is blue AND 2nd marble is blue) = x P(2nd marble is red)] + x P(2nd marble is blue)] = x 5/14] + x 8/14] = x 5/14] + x 8/14] = 10/70 + 24/70 = 34/70 = 17/35 Answer: D Cheers, Brent”
May 21, 2018
GMATGuruNY posted a reply to A jar contains 6 red marbles and 9 blue marbles. If Evelyn in the Problem Solving forum
“Case 1: 2 green marbles P(1st marble is green) = 6/15. (Of the 15 marbles, 6 are green.) P(2nd marble is green) = 5/14. (Of the 14 remaining marbles, 5 are green.) To combine these probabilities, we multiply: 6/15 * 5/14 = 1/7. Case 2: 2 red marbles P(1st marble is red) = 9/15. (Of the 15 ...”
May 21, 2018
GMATGuruNY posted a reply to Money invested at x%, compounded annually, triples in value in the Problem Solving forum
“The posted problem has a typo and should read as follows: Since x=8, the approximate number of years for the investment to triple = 112/x = 112/8 = 14. Since the initial investment = 2500, and the amount triples about every 14 years, we get: After the first 14 years --> 3*2500 = 7500. ...”
May 21, 2018
GMATGuruNY posted a reply to In what year was Edward born? in the Data Sufficiency forum
“Test EXTREMES. Case 1: Lisa''s birth month = January 1970 Since Edward was born 14 months earlier, Edward''s birth month = November 1968. Case 2: Lisa''s birth month = December 1970 Since Edward was born 14 months earlier, Edward''s birth month = October 1969. Since Edward''s birth year ...”
May 21, 2018
GMATGuruNY posted a reply to On Monday, Karen had S dollars in her savings account in the Problem Solving forum
“Alternate approach: Let S=30. The answer choices imply the following options for C: A) C=-10 B) C=10 C) C=20 D) C= 90 E) C = 100 From here, we can PLUG IN THE ANSWERS. When the correct answer is plugged in, the two accounts will hold the same amount after the transfer on Wednesday. ...”
May 21, 2018
Brent@GMATPrepNow posted a reply to If x = 3y = 4z, which of the following must equal 6x ? in the Problem Solving forum
“Let''s examine each statement I. 18y Given: x = 3y Multiply both sides by 6 to get: 6x = 18y Perfect! Statement I is TRUE Check the answer choices.....ELIMINATE B and C since they state that statement I is not true. II. 3y + 20z Given: x = 3y Also, since x = 4z, we can multiply both ...”
May 21, 2018
Brent@GMATPrepNow posted a reply to If A is a prime number, what is the value of A? in the Data Sufficiency forum
“Target question: What is the value of A? Given: A is a prime number Statement 1: 0 < A < 10 Let''sTEST some values. There are several values of A that satisfy statement 1. Here are two: Case a: A = 2 Case b: A = 3 Since we cannot answer the target question with certainty, ...”
May 21, 2018
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 B''s ...”
May 21, 2018
Brent@GMATPrepNow posted a reply to If p is a positive integer, is p even? in the Data Sufficiency forum
“Target question: Is p even? Statement 1: p divided by 3 leaves a remainder of 1 In other words, p is 1 greater than some multiple of 3 There are several values of p that satisfy this condition. Here are two: Case a: p = 4. In this case, the answer to the target question is YES, p is even ...”
May 21, 2018
GMATGuruNY posted a reply to Last year's receipts from the sale of candy on Valentine's in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the total sales. Since 385 represents 7% of the total sales, 10% of the correct answer must be a little more than 385. Only D is viable: 10% of 5500 = 550. The correct answer is D.”
May 21, 2018
Brent@GMATPrepNow posted a new topic called If x and y are positive integers, and 4x is the least in the Problem Solving forum
“If x and y are positive integers, and 4x is the least common multiple of x and y, which of the following MUST be true? i) x is the greatest common divisor of x and y ii) x = y/4 iii) x is a multiple of 4 A) i only B) ii only C) iii only D) ii and iii only E) none Answer: E Difficulty ...”
May 21, 2018
Brent@GMATPrepNow posted a new topic called If x and y are integers, and in the Data Sufficiency forum
“If x and y are non-zero integers, and (-x)^x = y^y, what is the value of x? (1) x + y = 0 (2) x is odd Answer: E Difficulty level: 650 – 700 Source: www.gmatprepnow.com”
May 21, 2018
Brent@GMATPrepNow posted a reply to On Monday, Karen had S dollars in her savings account in the Problem Solving forum
“Monday S dollars in savings account C dollars in checking account Tuesday: Karen transferred half of the money in her savings account to her checking account Amount in savings account = 0.5S Amount in checking account = C + 0.5S Wednesday: Karen transferred 20% of the money in her checking ...”
May 21, 2018
Brent@GMATPrepNow posted a reply to Is 2 < xy < 20? in the Data Sufficiency forum
“Target question: Is 2 < xy < 20? Statement 1: -2 < x < 4 Since we have no information about the value of y, there''s no way to the target question with certainty. So, statement 1 is NOT SUFFICIENT Statement 2: -1 < y < 5 There are several values of x and y that ...”
May 21, 2018
GMATGuruNY posted a reply to OG 10th Edition Q 74 in the Critical Reasoning forum
“The correct answer must support the conclusion that a well-balanced breakfast is a better vitamin source than is a fortified breakfast cereal.. A: In many foods, the natural combination of vitamins with other nutrients makes those vitamins more usable by the body than are vitamins added in ...”
May 21, 2018
GMATGuruNY posted a reply to A study done on children under the age of twelve showed in the Sentence Correction forum
“The intention here is to convey the following: The study showed THAT X IS TRUE but THAT Y IS TRUE. For the intended meaning to be conveyed clearly, the second that is required. A and B: The study...showed that....but for C: The study showed that...but when These options do not include the ...”
May 21, 2018
GMATGuruNY posted a reply to If 123,456=123a+87 and 234,567=123b+6, how many multiples o in the Problem Solving forum
“For any EVENLY SPACED SET: Count = (biggest - smallest)/increment + 1. The INCREMENT is the difference between successive terms. Smallest multiple of 123 between 123a + 87 and 123b + 6: 123a +123. Biggest multiple of 123 between 123a + 87 and 123b + 6: 123b. Since 123 is the increment ...”
May 21, 2018
GMATGuruNY posted a reply to Jayden draws a regular n-gon. What is the value of n? in the Data Sufficiency forum
“Sum of the interior angles of a quadrilateral = 360, with the result that each angle of a square = 360/4 = 90. For each additional side, the sum of the interior angles increases by 180: Sum of the interior angles of a pentagon = 360+180 = 540, with the result that each angle of a regular pentagon ...”
May 21, 2018
GMATGuruNY posted a reply to statements must be true for all integers a, b and c? in the Problem Solving forum
“a@b = a + b - ab. In other words, a@b = SUM - PRODUCT. Statement I is included in four of the five answer choices. Thus, it is almost certain that statement I must be true. Otherwise, a test-taker will be able to eliminate four answer choices simply by evaluating statement I. To save time, ...”
May 20, 2018
Brent@GMATPrepNow posted a new topic called Is 2 < xy < 20? in the Data Sufficiency forum
“Is 2 < xy < 20? (1) -2 < x < 4 (2) -1 < y < 5 Answer: E Difficulty level: 450 - 500 Source: www.gmatprepnow.com”
May 20, 2018
Brent@GMATPrepNow posted a new topic called On Monday, Karen had S dollars in her savings account in the Problem Solving forum
“On Monday, Karen had S dollars in her savings account and C dollars in her checking account. On Tuesday, Karen transferred half of the money in her savings account to her checking account. On Wednesday, Karen transferred 20% of the money in her checking account to her savings account, at which point ...”
May 20, 2018
Brent@GMATPrepNow posted a reply to m and n are positive integers. If mn + 2m + n + 1 is even, in the Problem Solving forum
“Here''s a different solution: Since m and n can each be either even or odd, there are 4 possible cases to consider: case a) m is EVEN and n is EVEN case b) m is ODD and n is EVEN case c) m is EVEN and n is ODD case d) m is ODD and n is ODD Now let''s test each case as we examine mn + 2m + ...”
May 19, 2018
Brent@GMATPrepNow posted a reply to m and n are positive integers. If mn + 2m + n + 1 is even, in the Problem Solving forum
“There are several ways to approach this question. Here''s one approach: First recognize that mn + 2m + n + 1 is ALMOST factorable. If the expression were mn + 2m + n + 2, then we COULD factor it. Next, recognize that, if mn + 2m + n + 1 is even, then mn + 2m + n + 2 must be ODD Now recognize ...”
May 19, 2018
GMATGuruNY posted a reply to A boyis buying two kinds of marbles. One kind costs 25 cents in the Problem Solving forum
“I believe that the following represents the intent of the problem: Cost of 5 pounds of 25-cent marbles = 5*25 = 125 cents. We can PLUG IN THE ANSWERS, which represent the number pounds of 32-cent marbles. When the correct answer is plugged in the average cost per marble ≈ 29. B: 6 ...”
May 19, 2018
GMATGuruNY posted a reply to Two liquids are mixed in the ratio 3:2 and the vendor gains in the Problem Solving forum
“Since the selling price of $11 per liter represents a profit of 10%, the cost per liter =$10. The cost of the first liquid is $2 more than the cost of the second liquid. For the average cost per liter to be$10, the cost of the first liquid must be MORE THAN $10, while the cost of the second ...” May 19, 2018 GMATGuruNY posted a reply to A farmer who grows strawberries defines . . . in the Data Sufficiency forum “Statement 1: Since the size of the crop is unknown, we cannot determine how many workers must be hired for the crop to be picked in 15 days. INSUFFICIENT. Statement 2: For 13,500 liters to be picked in 15 days, the amount that must be picked each day = 13,500/15 = 900 liters. Since the rate ...” May 19, 2018 GMATGuruNY posted a reply to Employment costs rose - GMATPrep in the Sentence Correction forum “In B, it (singular) does not agree with costs (plural). Eliminate B. C: Employment costs rose...less than they were Here, an ACTION (rose) is illogically compared to a STATE-OF-BEING (were). Eliminate C. lower is an ADJECTIVE. It must serve to modify a NOUN. D and E: Employment costs ...” May 19, 2018 Brent@GMATPrepNow posted a reply to OG12: An arithmetic sequence in the Problem Solving forum “Basically, an arithmetic sequence is a sequence in which each term can be calculated by adding some constant, k, to the preceding term. Some examples: 6, 8, 10, 12, 14,... (adding 2 to each term to get the next term) -1, 6, 13, 20, 27,... (adding 7 to each term to get the next term) 10, 7, ...” May 18, 2018 Brent@GMATPrepNow posted a reply to Jerry travels 8 miles at an average speed of 40 miles per in the Problem Solving forum “Your solution is perfect! That said, another approach is to focus on the 2nd part of the trip. In the first part of the trip, Jerry travels 8 miles at an average speed of 40 miles per hour In the 2nd part of the trip, Jerry stops for 10 minutes, and then travels another 20 miles at an ...” May 18, 2018 Brent@GMATPrepNow posted a reply to m, n and k are positive integers. If the product in the Data Sufficiency forum “Target question: Is k odd? Given: The product mn is odd If the product mn is odd, when we know that m is ODD and n is ODD Statement 1: mn + n + k is odd In other words: (ODD)(ODD) + ODD + k is odd Simplify: ODD + ODD + k is odd Simplify more: EVEN + k is odd This means k must be ...” May 18, 2018 Brent@GMATPrepNow posted a reply to To offset miscellaneous costs, a dealership decides to in the Problem Solving forum “Sorry, vinni.k, but I don''t understand what you are saying. Can you elaborate? Cheers, Brent” May 18, 2018 Brent@GMATPrepNow posted a reply to How many sides does polygon P have? (1) All sides of P have in the Data Sufficiency forum “Target question: How many sides does polygon P have? Statement 1: All sides of P have equal lengths. There are infinitely many polygons that satisfy statement 1. Here are two: Case a: Polygon P is an equilateral triangle. In this case, the answer to the target question is polygon P has 3 ...” May 18, 2018 Brent@GMATPrepNow posted a reply to If a number between 10 and 50 (inclusive) at random. in the Problem Solving forum “I think that listing (while looking for a pattern) and counting is the best/fastest approach here. Let''s list all of the numbers (from 10 to 50 inclusive) such that the tens digit is greater than one digit Numbers with tens digit 1: 10 Numbers with tens digit 2: 20, 21 Numbers with tens ...” May 18, 2018 GMATGuruNY posted a reply to OG 16 Question 27 in the Sentence Correction forum “One reason to eliminate B: Generally, a COMMA + VERBing modifier must serve to express an action that is concurrent with the nearest preceding action. B implies the following: The Etruscan alphabet in turn had been adapted, adapting itself earlier. Here, the COMMA + VERBing action in red is ...” May 18, 2018 GMATGuruNY posted a reply to Each of 60 mineral water bottles in a certain shipment is in the Problem Solving forum “The addition of the word in red clarifies the intent of the problem: Curren total volume = (number of bottles)(average volume per bottle) = 60*800 = 48,000 ml. We can PLUG IN THE ANSWERS, which represent the number of 1000-ml bottles that must be removed to reduce the average volume per ...” May 18, 2018 GMATGuruNY posted a reply to On May 1 of last year, Jasmin invested x dollars . . . . in the Data Sufficiency forum “Statement 1: Since we know the interest rate (6% per year, compounded monthly) and the amount of interest earned after one month ($200), we can calculate the amount Jasmin must have invested. SUFFICIENT. Statement 2: Since we know the interest rate (6% per year, compounded monthly) and the ...”
May 18, 2018