# rawat2583

GMATGuruNY posted a reply to If a fair 6-sided die is rolled three times, what is the in the Problem Solving forum
“P(exactly n times) = P(one way) * all possible ways. Let T = 3 and N = not 3. P(one way): One way to get exactly one 3: TNN. P(T on the 1st roll) = 1/6. (Of the 6 possible rolls, one is 3.) P(N on the 2nd roll) = 5/6. (Of the 6 possible rolls, five are not 3.) P(N on the 3nd roll) ...”
Today
GMATGuruNY posted a reply to 10^25 – 560 is divisible by all of the following EXCEPT: 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 For an integer to be divisible by 3, its digit sum must be a multiple of 3. 10²⁵ - 560 = (100000...) - (560) = 99999...440 Sum of the digits = (9+9+9+9+9...) + (4+4+0) = (multiple ...”
Today
Brent@GMATPrepNow posted a reply to Of the first three dozen cookies baked at a bake shop on a in the Data Sufficiency forum
“ Given: Of the first three dozen (36) cookies baked at a bake shop on a certain day, 1/3 were chocolate chip cookies. 1/2 of the remaining cookies that were baked that day were chocolate chip cookies, 1/3 of 36 = 12. So, 12 chocolate cookies were baked in the first round of baking. Let x = ...”
Yesterday
deloitte247 posted a reply to The emotional impact of separation on unmarried “committed in the Critical Reasoning forum
“Option A:- correct This statement is logically intact with the premise in the question. Conclusively, the question shows the statistics of the possibility of separated people entering into another such relationship. Hence the statement gives a complete justification of the question. Option B:- ...”
Yesterday
deloitte247 posted a reply to In a public park of the Beegappel metropolitan where biodegr in the Critical Reasoning forum
“Option A:- Incorrect This assumption failed to take into cognisance the cleanliness of the public park. It does not bring the different residents on board. Option B:- Incorrect This survey aims at determining the cleanliness of public parks in different neighbourhoods. Option C:- ...”
Yesterday
deloitte247 posted a reply to A convenience store manager noticed that a cooler which had in the Critical Reasoning forum
“Option A:- Incorrect The conclusion here is preposterous; the question prepares to inform us about the stocking of Cola and iced tea at the beginning of each day for sales. Option B:- Incorrect There was no information provided about concerning the factor responsible for more sales of more iced ...”
Yesterday
deloitte247 posted a reply to Which of the following most logically completes the argument in the Critical Reasoning forum
“Option A:- Incorrect The statement captured in this option does not complement how the cart will increase the profitability of the stores. Option B:- Incorrect The situation cited by the expert levels on a general chopping behaviour of consumers. However, this is peculiar to all other stores, ...”
Yesterday
deloitte247 posted a reply to Carvania is known to have a greater number of auto fatalitie in the Critical Reasoning forum
“Option A:- Incorrect The first boldface portion has not posed any form of challenge to the main conclusion. Option B:- Incorrect The first boldface does not appear as a form of judgement; it is just a statistical reference. The second Boldface is the actual result Option C:- correct The ...”
Yesterday
Brent@GMATPrepNow posted a reply to List $$K$$ consists of seven numbers. Is the average in the Data Sufficiency forum
“Target question: Is the average (arithmetic mean) of the seven numbers negative? Statement 1: Four of the seven numbers in list K are negative. There are several scenarios that satisfy statement 1. Here are two: Case a: List K = {-10, -10, -10, -10, 1, 1, 1}. Average = sum/7 = -37/7. The ...”
Yesterday
Brent@GMATPrepNow posted a reply to A set of 15 different integers has median of 25 and a range in the Problem Solving forum
“Let''s tackle this one step at a time. First, we have 15 different integers. We can let these 15 spaces represent the 15 numbers written in ascending order: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ If the median is 25, we can add this as the middle value: _ _ _ _ _ _ _ 25 _ _ _ _ _ _ _ Notice that 7 ...”
Yesterday
GMATGuruNY posted a reply to At a certain picnic, each of the guests was served either a in the Data Sufficiency forum
“Let D = the double-scoop guests and S = the single-scoop guests. What is value of D? Statement 1: Since 60% received a double-scoop, the remaining 40% received a single scoop. Thus: D/S = 60%/40% = 3/2 No way to solve for D. INSUFFICIENT. Statement 2: Since the D double-scoop guests ...”
Yesterday
deloitte247 posted a reply to Will the first 10 volumes of a 20-volume encyclopedia fit in the Data Sufficiency forum
“Statement 1 50 centimeter the relationship between x and the volume of then encyclopedia is not known, statement 1 is INSUFFICIENT. Statement 2 Twelve of the volumes have an average ( arithmetic mean) thickness of 5 centimeters. There is no information about the thickness of the thickness of ...”
Yesterday
GMATGuruNY posted a reply to A set of 15 different integers has median of 25 and a range in the Problem Solving forum
“Range = biggest - smallest. Thus: 25 = biggest - smallest. Smallest = biggest - 25. We can plug the answer choices into the equation above. Since we need the greatest possible integer that could be in the set, we should start with the greatest answer choice. Answer choice E: 50 Smallest ...”
Yesterday
GMATGuruNY posted a reply to Mixture problem in the Problem Solving forum
“2 liters of 25% solution are combined with 6 liters of 40% solution. Average percentage for the entire 8 liters = (2*25 + 6*40)/8 = 290/8 = 36.25. The closest answer is C. Alligation approach: Let V1 and V2 = the two vessels and M = the mixture. Step 1: Plot the three percents on a ...”
Yesterday
deloitte247 posted a reply to In the correctly worked addition problem shown in the Problem Solving forum
“AB = sum of 2 digits integers Sum of two - digit integer cannot be greater than 99 + 99 = 198 AB + BA = AAC where A = 1 IB + BI = IIC If B < 9 AB + BA will only be a two digit integer e.g 17 + 71 = 88 Therefore, B = 9 and C = 0 $$AB+BA=AAC\ \left(19+91=110=AAC\right)$$ $$C=0$$ ...”
Yesterday
deloitte247 posted a reply to The sequence $$a_1, a_2, …, a_n, …$$ is such that in the Data Sufficiency forum
“$$a_n=\sqrt{a_{n-1}\cdot a_{n-3}}$$ $$n\ge4$$ $$a_6=\sqrt{a_{6-1}\cdot a_{6-3}}=\sqrt{a_5\cdot a_3}$$ $$a_5=\sqrt{a_4\cdot a_2}$$ $$a_3=a_{2+1}=a_2+a_1$$ $$a_4=16$$ $$what\ is\ the\ value\ of\ a_6$$ Statement 1 $$a_1=2$$ $$value\ of\ a_5,a_3\ and\ ,a_2\ are\ not\ known$$ $$Hence,\ we\ ...” Yesterday Scott@TargetTestPrep posted a reply to At least how many grams of pure bronze must be... in the Problem Solving forum “We can let n = the number of grams of pure bronze needed and create the equation: 387/(387 + n) = 9/10 3870 = 9(387 + n) 430 = 387 + n 43 = n Alternate Solution: We can let x = the total minimum weight of the alloy and create the equation: 0.9x = 387 9x = 3870 x = 3870/9 ...” June 14, 2019 Scott@TargetTestPrep posted a reply to Kumail, a noted sneaker enthusiast, has a collection in the Problem Solving forum “We are given that 5/7 of the Brand A sneakers are low-tops and 1/3 of the Brand A low-tops are running shoes. Thus, the number of Brand A sneakers must be a multiple of 7 x 3 = 21. Since the smallest positive multiple of 21 is 21, the least number of Brand A sneakers is 21. Since Kumail owns 7 ...” June 14, 2019 Scott@TargetTestPrep posted a reply to Kumail, a noted sneaker enthusiast, has a collection in the Problem Solving forum “We are given that 5/7 of the Brand A sneakers are low-tops and 1/3 of the Brand A low-tops are running shoes. Thus, the number of Brand A sneakers must be a multiple of 7 x 3 = 21. Since the smallest positive multiple of 21 is 21, the least number of Brand A sneakers is 21. Since Kumail owns 7 ...” June 14, 2019 Scott@TargetTestPrep posted a reply to If the average (arithmetic mean) of in the Problem Solving forum “(3 + 15 + 32 + (N + 1))/4 = 18 51 + N = 72 N = 21 Answer: C” June 14, 2019 Scott@TargetTestPrep posted a reply to The figure above shows a path in the Problem Solving forum “Since we have a right triangle, we see that we have a 6-8-10 right triangle. Mary’s distance was 14, and Ted’s distance was 10, so Mary traveled 4 miles more than Ted. 4/10 = 40% Answer: B” June 14, 2019 Scott@TargetTestPrep posted a reply to Five drainage pipe, each draining water from a pool... in the Problem Solving forum “Since 4 is 1/3 of 12, we need 3 times as many pipes. Therefore, we need 15 pipes, or 10 additional pipes to the 5 pipes we already have. Alternate Solution: If 5 pipes require 12 days to drain the pool, we see that it takes 5 x 12 = 60 “pipe-days” to empty the pool. (In other words, 1 pipe ...” June 14, 2019 Scott@TargetTestPrep posted a reply to If a merchant makes a profit of 20% based on the selling... in the Problem Solving forum “We can let R = selling price and C = cost and create the equation: R - C = 0.2R 0.8R = C In terms of R, we see that the profit is 0.2R and the cost is 0.8R. Thus the profit as a percent of cost is: 0.2R/0.8R = 0.2/0.8 = 2/8 = 1/4 = 25% Alternate Solution: Let’s assume the ...” June 14, 2019 Scott@TargetTestPrep posted a reply to If the surface area of a certain cube is 2400, what is... in the Problem Solving forum “Suppose we have a cube such that the length of each edge is x. Since there are 6 faces on the cube, and each face has an area of x^2, then the surface area is the sum of the 6 faces’ areas. Thus, we have: 6x^2 = 2400 x^2 = 400 x = 20 Thus the volume of the cube is 20^3 = 8000. ...” June 14, 2019 Scott@TargetTestPrep posted a reply to If m is the average (arithmetic mean) of the first 10 positi in the Problem Solving forum “To answer this question we can use the following rule: When we have an evenly spaced set of numbers, the mean and the median are equal. Recall that in an evenly spaced set of numbers there is a common difference between consecutive terms in the set. For example, consecutive integers, consecutive ...” June 14, 2019 Scott@TargetTestPrep posted a reply to Three machines, A, B, and C, can complete a certain task in the Problem Solving forum “The combined rate of A, B, and C is: 1/10 + 1/4 + 1/5 = 2/20 + 5/20 + 4/20 = 11/20. So if all the machines work for 1 hour, 11/20 of the job is completed, and 9/20 is left to be completed. Thus, it would take machine C (9/20)/(1/5) = 45/20 = 9/4 hours to complete the job. Answer: B” June 14, 2019 Scott@TargetTestPrep posted a reply to A toy store's gross profit on a computer game was 10%... in the Problem Solving forum “We are given that a toy store’s gross profit on a computer game was 10 percent of the cost of the game. Since we know that revenue - cost = profit, and we are given that profit = 0.1 x cost, we can create the following equation, in which r = revenue and c = cost: r - c = 0.1c r = 1.1c ...” June 14, 2019 Scott@TargetTestPrep posted a reply to If |x|=−x, which of the following must be true? in the Problem Solving forum “Since |x| is always greater than or equal to zero, in order for -x to be greater than or equal to zero, x must be less than or equal to zero. Answer: B” June 14, 2019 Scott@TargetTestPrep posted a reply to With # and & each representing different digits in the in the Problem Solving forum “We see that # (in the hundreds digit) represents either 6 (if there is no borrowing from the tens digit) or 7 (if there is borrowing). However, no matter if it’s 6 or 7, it’s also the tens digit of the subtrahend, and since the tens digit of the difference is also 6, there must be borrowing. So ...” June 14, 2019 Scott@TargetTestPrep posted a reply to Fractions question. Don't have any clue about it. in the Problem Solving forum “We can maximize the value of x by minimizing the value of (y+2)^4/9. We see that (y+2)^4/9 will be non-negative since (y + 2) is raised to an even power; however, if y = -2, then (y+2)^4/9 = 0. So we have: (x-2)^4/4 = 4 (x-2)^4 = 16 [(x-2)^4]^(1/4) = ±(16)^(1/4) x - 2 = ±2 x - 2 = 2 ...” June 14, 2019 Scott@TargetTestPrep posted a reply to A pod of 6 dolphins always swims single file, with 3 females in the Problem Solving forum “We are given that a pod of 6 dolphins always swims single file, with 3 females at the front and 3 males in the rear. Thus: The number of ways to arrange the 3 female dolphins in the front is 3! = 3 x 2 x 1 = 6. The number of ways to arrange the 3 male dolphins is in the rear is 3! = 3 x 2 x 1 ...” June 14, 2019 Scott@TargetTestPrep posted a reply to It is known that (1.1)^{17} is approximately equal to 5.05. in the Problem Solving forum “We see that (1.1)^50 ≈ (1.1)^51 = [(1.1)^17]^3 Since (1.1)^17 ≈ 5.05, we can round it to 5 and we have: [(1.1)^17]^3 ≈ 5^3 = 125 Therefore, (1.1)^50 ≈ 125. Since 120 is the closest to 125, choice D is the correct answer. Answer: D” June 14, 2019 Scott@TargetTestPrep posted a reply to David drove to work at an average (arithmetic mean) speed of in the Problem Solving forum “We can create the equation for the time: d/45 + d/60 = 2 Multiplying by 180, we have: 4d + 3d = 360 7d = 360 d = 360/7 Answer: C” June 14, 2019 Scott@TargetTestPrep posted a reply to a, b and c are three distinct integers, greater than 1, such in the Problem Solving forum “First, let’s prime factorize 150: 150 = 3 x 50 = 3 x 2 x 5^2 Since the three numbers are pairwise relatively prime, they must be 3, 2 and 25. Therefore, the sum is 3 + 2 + 25 = 30. Answer: C” June 14, 2019 Scott@TargetTestPrep posted a reply to Three gnomes and three elves sit down in a row of six chairs in the Problem Solving forum “We can see that one seating arrangement of gnomes (G) and elves (E) can be: GEGEGE The first G and E each has 3 choices; the second G and E each has 2 choices and the last G and E each has 1 choice. Thus the number of ways to have the “GEGEGE” seating arrangement is: 3 x 3 x 2 x 2 x 1 x ...” June 14, 2019 Scott@TargetTestPrep posted a reply to Mixture problem in the Problem Solving forum “(2 x 0.25 + 6 x 0.4)/(2 + 6) = (0.5 + 2.4)/8 = 2.9/8 ≈ 3/8 = 0.375 = 37.5% Alternate Solution: We start with 2 liters of 25% alcohol and add to it 6 liters of 40% solution, and the result is 8 liters of x% solution. Let’s express this information as an equation: 2(0.25) + 6(0.40) = ...” June 14, 2019 deloitte247 posted a reply to In a network of car dealerships, a group of $$d$$ sales in the Data Sufficiency forum “Statement 1 Total number of cars sold was 27$$d\left(1+2a\right)=27$$possible cases are d=1 and a=13, d=3 and a=4, d=9 and a =1,d =27 and a=0 information given is not enough to arrive at a specific value, Statement 1 is INSUFFICIENT. Statement 2 value of a and d is unknown, statement 2 is ...” June 14, 2019 deloitte247 posted a reply to 8, 5, x, 6 The median of the list of positive integers in the Problem Solving forum “Median = 5.5, find the mean$$Median\ =\ \frac{\left(5+x\right)}{2}$$Median = 5,5 ;$$x\ must\ be\ \le5list\ =\ x,\ 5,\ 6,\ 8median\ =\ \frac{\left(5+6\right)}{2}=5.5x=\left\{5,\ 4,\ 3,\ 2,\ or\ 1\right\}$$If x = 5$$mean\ =\ ...”
June 14, 2019
deloitte247 posted a reply to For every integer $$k$$ from 1 to 10, inclusive the "k& in the Problem Solving forum
“$$\left(-1\right)^{k+1}=\left(\frac{1}{2^k}\right)$$ Let k = 1 $$\left(-1\right)^2\cdot\frac{1}{2^1}=1\cdot\frac{1}{2}=\frac{1}{2}=T_1$$ Let k = 2 $$\left(-1\right)^3\cdot\frac{1}{2^2}=-1\cdot\frac{1}{4}=-\frac{1}{4}=T_2$$ $$T=T_1+T_2+--------+T_n$$ ...”
June 14, 2019
deloitte247 posted a reply to Tammy climbed a mountain in two days. She spent a total of in the Problem Solving forum
“Time on day 1 = x Time on day 2 = x - 2 Total time = Day 1 + Day 2 14 = x + x -2 14 = 2x - 2 16 = 2x x = 8 $$Total\ speed\ =\ \frac{Total\ dis\tan ce}{Total\ time}$$ $$Day\ 1\ =\ speed\ \cdot\ 8=Dis\tan ce$$ $$Day\ 2=\ \left(Speed+0.5\right)\cdot6=52-d$$ ...”
June 14, 2019
Scott@TargetTestPrep posted a reply to To celebrate a colleague's retirement, the T coworkers in an in the Problem Solving forum
“We are given that T coworkers agreed to equally split the payment for the cost of a lunch. We are also given that the lunch costs x dollars, and S coworkers do not pay their share. We need to determine the ADDITIONAL AMOUNT that each coworker has to pay now. The original cost per person for ...”
June 14, 2019
Scott@TargetTestPrep posted a reply to In a certain pond in the Problem Solving forum
“We are given that 50 fish were caught, tagged, and returned to the pond, and that a few days later, 50 fish were caught again, of which 2 were tagged. Thus, the percentage of tagged fish is 2/50 = 1/25 = 4%. Since the percentage of tagged fish in the second catch approximates the percentage of ...”
June 14, 2019
Scott@TargetTestPrep posted a reply to rates in the Problem Solving forum
“We are given that 4 machines can complete x units in 6 days. Thus, the rate of the 4 machines is x/6. Now, we need to determine the number of machines needed to produce a rate of 3x/4. To calculate that number of machines, we can use the following proportion in which the value in each numerator is ...”
June 14, 2019
Scott@TargetTestPrep posted a reply to M is the sum of the reciprocals in the Problem Solving forum
“Let''s first analyze the question. We are trying to find a potential range for M in which M is the sum of the reciprocals from 201 to 300, inclusive. Thus, M is: 1/201 + 1/202 + 1/203 + … + 1/300 Since we probably would not be expected to do such time-consuming arithmetic (i.e., to add 100 ...”
June 14, 2019
Scott@TargetTestPrep posted a reply to A certain library in the Problem Solving forum
“On day 1, the fine is $0.10. On day 2, we have two options: 1) 0.10 + 0.30 =$0.40 2) 0.10 x 2 = $0.20 Since option 2 is the lesser of the 2 fines, the total fine, as of day 2, is$0.20. On day 3 we have two options: 1) 0.20 + 0.30 = $0.50 2) 0.20 x 2 =$0.40 Since option 2 ...”
June 14, 2019
Scott@TargetTestPrep posted a reply to How many integers between in the Problem Solving forum
“Let’s list the first couple of such integers: 324,713; 324,813; 324,913; … The last of such an integer is 458,513. We see that these integers form an arithmetic progression with a common difference of 100. Therefore, the number of integers is: (458,513 - 324,713)/100 + 1 = ...”
June 14, 2019
Scott@TargetTestPrep posted a reply to In a certain deck of cards in the Problem Solving forum
“Since the smallest product is at least 15, and since 3 x 4 = 12, we can eliminate answers A and B. We also see that 4 must be the minimum integer on any of the cards since 4 x 5 = 20, which is the smallest product above 15. We can, therefore, eliminate answer choice E, and we are left to choose ...”
June 14, 2019
Scott@TargetTestPrep posted a reply to sum of these 24 integers? in the Problem Solving forum
“Since there are 24 different integers, each of the digits (1, 2, 3 and 4) will appear in each of the place values (thousands, hundreds, tens and ones) exactly 6 times. Therefore, the sum of the 24 integers will be as follows: 6(1000 + 2000 + 3000 + 4000) + 6(100 + 200 + 300 + 400) + 6(10 + 20 + ...”
June 14, 2019
Scott@TargetTestPrep posted a reply to In the addition table shown above, what is the value of m + in the Problem Solving forum
“We need to find the value of m + n. Observe that according to the table, 4 + z = m and e + y = n; so we actually need to determine the value of 4 + z + e + y. Let us re-write this summation as 4 + y + e + z. Now, referring to the table, we observe that 4 + y = -5 and e + z = 10. So, m + n = 4 + y + ...”
June 14, 2019
Scott@TargetTestPrep posted a reply to lisa - gmat prep 2 in the Problem Solving forum
“Lisa’s profit is the following: 0.9 x 82,000 - 70,000 x 1.02 = 73,800 - 71,400 = $2,400 Answer: B” June 14, 2019 Scott@TargetTestPrep posted a reply to Each day Linda spends 6 hours at her baby-sitting job... in the Problem Solving forum “Linda is paid 6 x 15 = 90 dollars. Her rate, per hour, is 90/7.5 = 12 dollars. Answer: E” June 14, 2019 Ian Stewart posted a reply to If x and y are integers, and x + y < 0, is x — y > 0 in the Data Sufficiency forum “We can rephrase the question "is x > y?" Subtracting |x| on both sides, Statement 1 only tells us that |y| > 0. But that''s always true unless y = 0, so Statement 1 only tells us y is nonzero. Assuming x is nonzero (something the question needs to tell us, so that the left side ...” June 14, 2019 Ian Stewart posted a reply to In a network of car dealerships, a group of $$d$$ sales in the Data Sufficiency forum “If we have d directors, and each director has a associates, we have ad associates. If the directors each sell 10 cars, they all sell 10d cars in total, and if the associates each sell 20 cars, they sell 20ad cars in total. So 10d + 20ad = 10d(1 + 2a) is the total number of cars sold. Statement 1 ...” June 14, 2019 Brent@GMATPrepNow posted a reply to 8, 5, x, 6 The median of the list of positive integers in the Problem Solving forum “Since there is an even number of values in the list, the median will be the AVERAGE of the two middlemost values (when all values are listed in ASCENDING order) Let''s the answer choices... A) If x = 3, then the values are {3, 5, 6, 8}, which means the median = (5 + 6)/2 = 5.5 NO GOOD. We ...” June 14, 2019 Brent@GMATPrepNow posted a reply to Will the first 10 volumes of a 20-volume encyclopedia fit in the Data Sufficiency forum “Target question: Will the first 10 volumes of a 20-volume encyclopedia fit upright in the bookrack shown above? Statement 1: x = 50 centimeters. We have no idea how THICK the first 10 volumes are. They COULD each be 1 mm thick, in which case the 10 volumes will easily fit in the 50 cm ...” June 14, 2019 Brent@GMATPrepNow posted a reply to For every integer $$k$$ from 1 to 10, inclusive the "k& in the Problem Solving forum “T = 1/2 - 1/4 + 1/8 - 1/16 + . . . Notice that we can rewrite this as T = (1/2 - 1/4) + (1/8 - 1/16) + . . . When you start simplifying each part in brackets, you''ll see a pattern emerge. We get... T = 1/4 + 1/16 + 1/64 + 1/256 + 1/1024 Now examine the last 4 terms: 1/16 + 1/64 + 1/256 + ...” June 14, 2019 Max@Math Revolution posted a new topic called What is the remainder when 7^100 is divided by 50? in the Problem Solving forum “What is the remainder when 7^100 is divided by 50? A. 1 B. 3 C. 5 D. 7 E. 49” June 14, 2019 Max@Math Revolution posted a new topic called At how many points does the parabola y=f(x)=ax^2+bx+c (a≠0) in the Data Sufficiency forum “At how many points does the parabola y=f(x)=ax^2+bx+c (a≠0) intersect the x-axis? 1) x=f(y) intersects the y-axis at two points. 2) y=f(x-1) intersects the x-axis at two points.” June 14, 2019 Max@Math Revolution posted a reply to It is known that (1.1)^{17} is approximately equal to 5.05. in the Problem Solving forum “Answer: D (1.1)^50 = (1.1)^(51 – 1) = (1.1)^51 / (1.1) = ((1.1)^17)^3 / (1.1) ≒ 5^3/1.1 = 125/1.1 ≒ 120 Therefore, the answer is D.” June 14, 2019 Max@Math Revolution posted a reply to If x and y are positive integers, are x and y consecutive? in the Data Sufficiency forum “Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first step of ...” June 14, 2019 Brent@GMATPrepNow posted a reply to Jim is twice as old as Fred ... in the Problem Solving forum “I''ve added the answer choices.... 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 ...” June 13, 2019 Brent@GMATPrepNow posted a reply to in terms of k and m 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 13, 2019
Brent@GMATPrepNow posted a reply to cd? 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 13, 2019
Brent@GMATPrepNow posted a reply to If f(x) = x^3 + 9, is f(x) positive? in the Data Sufficiency forum
“ Given: f(x) = x³ + 9 Target question: Is f(x) positive? Statement 1: x < −1 Let''s TEST some values. There are several values of x that satisfy statement 1. Here are two: Case a: x = -2. In this case, f(-2) = (-2)³ + 9 = (-8) + 9 = 1. So, the answer to the target question is ...”
June 13, 2019
Brent@GMATPrepNow posted a reply to In May Mrs Lee's earnings were 60 percent of the Lee family' in the Problem Solving forum
“Since we''re asked to find a PERCENT (and not an actual value), we can assign a nice value to the Lee family''s total income. In May Mrs Lee''s earnings were 60 percent of the Lee family''s total income Let''s say $100 = Lee family''s total income IN MAY This means$60 = Mrs Lee''s earnings ...”
June 13, 2019
Brent@GMATPrepNow posted a reply to Which of the following could be the median for a set of in the Problem Solving forum
“Since 20 < x < 80, we can see that, if we arrange the 5 numbers in ASCENDING order, we get two possible cases: case a: {x, 56, 86, 97, 98} case b: {56, x, 86, 97, 98} In both cases, the median is 86 Answer: B Cheers, Brent”
June 13, 2019
Max@Math Revolution posted a new topic called [x] is the greatest integer less than or equal to x. What is in the Problem Solving forum
“[x] is the greatest integer less than or equal to x. What is the value of [π^2 – 10]? A. -8 B. -7 C. -1 D. 0 E. 1”
June 13, 2019
Max@Math Revolution posted a new topic called If p and q are prime numbers, what is the number of the diff in the Data Sufficiency forum
“[GMAT math practice question] If p and q are prime numbers, what is the number of the different factors of p^2q^3? 1) pq=143 2) p and q are different”
June 13, 2019
Max@Math Revolution posted a reply to The quadrilateral ABCD is a kite. If AB = BC = 20, CD = DA = in the Problem Solving forum
“=> https://i.postimg.cc/kDMwGq04/6-13.png Let x and y be the lengths of DE and CE, repectively. From the right triangle CDE, we have CD^2 = x^2 + y^2 or x^2+y^2=225. From the right triangle BCD, we have BC^2 = (x+7)^2 + y^2 or (x+7)^2 + y^2 = 400. Subtracting the first equation from the ...”
June 13, 2019
Max@Math Revolution posted a reply to Is x^3-x^2+x-1 > 0? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
June 13, 2019
Ian Stewart posted a reply to Mixture problem in the Problem Solving forum
“The answer needs to be between 25% and 40%, and because we''re using more of the 40% solution, the answer must be closer to 40%, so only one answer makes sense, 37.5%. That''s assuming both vessels are full, something the question needs to mention (but doesn''t). If you want to use alligation, ...”
June 12, 2019
Ian Stewart posted a reply to Three gnomes and three elves sit down in a row of six chairs in the Problem Solving forum
“If there''s a gnome in the first chair, the arrangement must alternate: GEGEGE. We''ll have 3 choices for the first gnome, 2 for the second, and 1 for the third, and the same for the elves, for 3! * 3! = 36 arrangements in total. But we can also have an elf in the first chair, and the arrangement ...”
June 12, 2019
Ian Stewart posted a reply to A state legislator drafts an income tax proposal that in the Data Sufficiency forum
“Statement 1 is insufficient, because maybe everyone earns $65,000, and the answer to the question is ''no'', or maybe someone earns$1 trillion, and the percent of income collected is close to 40%. If someone earns $350,000, they pay: 20% on their first$100k 25% on their next $50k 30% on ...” June 12, 2019 Brent@GMATPrepNow posted a reply to a, b and c are three distinct integers, greater than 1, such in the Problem Solving forum “150 = (2)(3)(5)(5) There are three sets of 3 values (each greater than 1) that have a product of 150: {2, 3, 25} {3, 5, 50} {2, 5, 15} GIVEN: The greatest common divisor of any two numbers, among the three integers, is 1 The only set that meets this condition is {2, 3, 25} SUM = 2 + 3 + ...” June 12, 2019 Brent@GMATPrepNow posted a reply to David drove to work at an average (arithmetic mean) speed of in the Problem Solving forum “Let''s start with a "word equation" We can write: (David''s travel time TO work) + (David''s travel time FROM work) = 2 hours time = distance/speed Let d = the distance each way We can write: d/45 + d/60 = 2 To eliminate the fractions, multiply both sides by 180, the LCM of 45 ...” June 12, 2019 Brent@GMATPrepNow posted a reply to If x and y are positive integers, are x and y consecutive? in the Data Sufficiency forum “ Given: x and y are positive integers Target question: Are x and y consecutive? Statement 1: x+y=3 Since x+y=3 are x positive integers, we know that one number must be 1 and the other number must be 2. The answer to the target question is YES, x and y ARE consecutive Since we can ...” June 12, 2019 GMATGuruNY posted a reply to It is known that (1.1)^{17} is approximately equal to 5.05. in the Problem Solving forum “1,1¹⁷ ≈ 5 (1.1¹⁷)³ ≈ 5³ 1.1⁵¹ ≈ 125 Thus: 1.1⁵⁰ = a bit less than 125 The correct answer is D.” June 12, 2019 Max@Math Revolution posted a new topic called It is known that (1.1)^{17} is approximately equal to 5.05. in the Problem Solving forum “[GMAT math practice question] It is known that (1.1)^{17} is approximately equal to 5.05. What is the approximate value of (1.1)^{50}? A. 20 B. 40 C. 80 D. 120 E. 160” June 12, 2019 Max@Math Revolution posted a reply to A 30-60-90 triangle is drawn on the exterior of equilateral in the Problem Solving forum “=> Since the triangle BCD is a 30-60-90 triangle, CD:BC:BD = 1 : 2 : √3. So, BC = 4, AB = 4, and BD = 2 √3. Angle ABD is a right angle since angle ABC is 60 degrees, and angle CBD is 30 degrees. By Pythagoras’ theorem, AD^2 = AB^2 + BD^2 = 16 + 12 = 28. Therefore, AD = 2√7. ...” June 12, 2019 Max@Math Revolution posted a new topic called If x and y are positive integers, are x and y consecutive? in the Data Sufficiency forum “[GMAT math practice question] If x and y are positive integers, are x and y consecutive? 1) x+y=3 2) xy=2” June 12, 2019 Max@Math Revolution posted a reply to 0 < a < b < c. Is a < 3? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” June 12, 2019 Jay@ManhattanReview posted a reply to If a^n ≠ 0 and n is a positive integer, is n odd? in the Data Sufficiency forum “Let''s take each statement one by one. (1) a^n + a^(n+1) < 0 a^n + a^n*a < 0 a^n*(1 + a) < 0 We see that the product of a^n and (1 + a) is less than 0 or is negative. So, either a^n is negative and (1 + a) is positive or vice-versa. Case 1: Taking a as negative and (1 + ...” June 12, 2019 Jay@ManhattanReview posted a reply to If Beth spent$400 of her earnings last month on rent, how in the Data Sufficiency forum
“Let''s take each statement one by one. (1) Beth saved 1/3 of her earnings last month and spent half of the remainder on rent. Given Beth saved 1/3 of her earnings last month, she spent 1 – 1/3 = 2/3 of her earnings last month. Part spent on rent = 1/2 of 2/3 = 1/3 of her earnings last ...”
June 12, 2019
Jay@ManhattanReview posted a reply to In the diagram above, what is the circumference of the in the Data Sufficiency forum
“We see that /_A = 90º; thus, ∆ABC is a right-angled triangle. And we know that only the diameter subtends an angle of 90º at the circumference of the circle. Thus, BC is the diameter. If we get the value of BC, we will get the value of circumference of the circle. Let''s take each statement ...”
June 12, 2019
Scott@TargetTestPrep posted a reply to The number line shown contains three points R, S, and T, in the Problem Solving forum
“We can let R, S, and T be the actual values. Thus, we want to determine the value of (R + S + T)/3. Since S and T are positive, S = s and T = t. However, since R is negative, R = -r. Thus, the average becomes: (-r + s + t)/3 (s + t - r)/3 Answer: E”
June 12, 2019
Scott@TargetTestPrep posted a reply to If a and b are odd integers, a Δ b represents the product o in the Problem Solving forum
“Since none of the odd numbers between 3 and 47 (inclusive) divides into (3 �" 47) + 2, the smallest prime factor of (3 �" 47) + 2 must be greater than 47. The smallest prime number greater than 47 is 53, so y is at least 53. Answer: A”
June 12, 2019
Scott@TargetTestPrep posted a reply to For any numbers a and b, a#b=a + b - ab. If a#b=0, which of in the Problem Solving forum
“We are given that a#b=a + b - ab and that a#b=0. Thus we have a + b - ab = 0 a + b = ab Now let’s look at the choices: A. If b = 2, then a + 2 = a(2) 2 = a So b can be 2. B. If b = 1, then a + 1 = a(1) We see that a + 1 (1 more than a) can’t be equal to a itself. So ...”
June 12, 2019
Scott@TargetTestPrep posted a reply to When the integer n is divided by 6, the remainder is 3, Whic in the Problem Solving forum
“We can let n = 9. We see that all the expressions in the given answer choices will be a multiple of 6 except 3n. Answer: D”
June 12, 2019
Scott@TargetTestPrep posted a reply to In the figure above, what fraction of the circle with center in the Problem Solving forum
“Since the central angle of each white region is 45 degrees, the central angle of each shaded region is 180 - 45 = 135. Thus, (135 + 135)/360 = 270/360 = 3/4 is shaded. Alternate Solution: A sector corresponding to 45° will have an area which is 1/8 of the complete circle. The unshaded region ...”
June 12, 2019
Scott@TargetTestPrep posted a reply to If x ≠ −2, then 5x+10x+2=5x+10x+2 in the Problem Solving forum
“Simplifying, we have: 5(x + 2)/(x + 2) = 5 Answer: D”
June 12, 2019
Scott@TargetTestPrep posted a reply to In the figure above, square ABCD has an area of 25. in the Problem Solving forum
“Since the area of the square is 25, the side of the square is 5, and thus the diagonal of the square = diameter of the circle = 5√2. Thus, the radius is (5√2)/2, and the area of the circle is [(5√2)/2]^2 x π = 50π/4 = 25π/2. Answer: C”
June 12, 2019
June 12, 2019
Scott@TargetTestPrep posted a reply to In the multiplication above, # represents a single digit. in the Problem Solving forum
“We see that when a number in the low 500s is multiplied by a single digit number, the product is in the 2000s. Therefore, that single digit number must be either 4 or 5. If it’s 4, then we have 510 x 4 = 2040. However, this is not correct, given that the pound sign (#) can only represent one ...”
June 12, 2019
Scott@TargetTestPrep posted a reply to From a group of 10 students, 7 girls and 3 boys, a teacher in the Problem Solving forum
“We are selecting 2 of 3 boys. The number of boys can be selected in 3C2 = 3 ways. We are selecting 2 of 7 girls. The number of girls can be selected in 7C2 = (7 x 6)/2! = 21 ways, The total number of ways to select the group is 3 x 21 = 63. The group of 4 children can then be ordered in 4! ...”
June 12, 2019
ceilidh.erickson posted a reply to Since the routine use of antibiotics can give rise to resist in the Critical Reasoning forum
“If we want to STRENGTHEN an argument, we must first determine how the argument is currently logically flawed, i.e. what information it''s missing. Premises: The routine use of antibiotics can give rise to resistant bacteria capable of surviving antibiotic environments Explanation 1: The ...”
June 11, 2019
ceilidh.erickson posted a reply to If a is an integer, what is the units digit of a^18? in the Data Sufficiency forum
“For more on finding patterns in units digits, see here: https://www.beatthegmat.com/what-is-the-unit-digit-of-the-sum-t297452.html#800962 http://www.beatthegmat.com/remainder-t289535.html#767961 http://www.beatthegmat.com/if-r-s-and-t-are-all-positive-integers-t17201.html#548713 ...”
June 11, 2019
ceilidh.erickson posted a reply to If a is an integer, what is the units digit of a^18? in the Data Sufficiency forum
“When dealing with UNITS DIGITS and exponents, we must look for a pattern. If $$a$$ is an integer, what is the units digit of $$a^{18}?$$ (1) $$a^2$$ has a units digit of 9. We can express $$a^{18}$$ as $$(a^2)^9$$ . If $$a^2$$ has a units digit of $$9$$, then $$a^{18}$$ will have the same ...”
June 11, 2019
ceilidh.erickson posted a reply to In the figure above, what fraction of the circle with center in the Problem Solving forum
“Angles opposite one another have the same measurement. Thus, both non-shaded regions measure 45 degrees from the center of the circle, for a total of 90 degrees. A circle is 360 degrees, so 90 degrees is 1/4 of the circle that is unshaded. That leaves 3/4 of the circle shaded. The answer is D.”
June 11, 2019
Ian Stewart posted a reply to If l1 and l2 are distinct lines in the xy coordinate system in the Data Sufficiency forum
“I''m not sure why they ask "is a^2 = ac", which will be true when a=0 or when a=c, when we can prove the narrower fact that a=c using one of the Statements. Here, a and c are the slopes of the two lines, so if we can be sure the lines have the same slope, we''ll have sufficient ...”
June 11, 2019
GMATGuruNY posted a reply to sum of these 24 integers? in the Problem Solving forum
“For any set that is SYMMETRICAL ABOUT THE MEDIAN: sum = (count)(median) The set is composed of integers in the following ranges: 1234...1432 2134...2431 3124...3421 4123...4321. Each range contains the same number of integers. Thus, the median of the set is equal to the average of ...”
June 11, 2019
ceilidh.erickson posted a reply to Especially in the early years, new entrepreneurs may need to in the Sentence Correction forum
“This question is testing PRONOUN AGREEMENT, PARALLELISM, and IDIOMS. Especially in the early years, new entrepreneurs may need to find resourceful ways, like renting temporary office space or using answering services, that make their company seem large and more firmly established than they may ...”
June 11, 2019
ceilidh.erickson posted a reply to Lyme disease is caused by a bacterium transmitted to humans in the Critical Reasoning forum
“The NUMBER v. PROPORTION flaw is a very common type of logical flaw on CR. For more examples, see: https://www.beatthegmat.com/critical-reasoning-og-13-t277764.html#725229 http://www.beatthegmat.com/i-m-doubting-the-official-answer-of-a-cr-question-t156084.html#551227 ...”
June 11, 2019
ceilidh.erickson posted a reply to Lyme disease is caused by a bacterium transmitted to humans in the Critical Reasoning forum
“With CR questions, pay particular attention to any arguments that involve the conflation of NUMBERS and PROPORTIONS. Premises: - deer ticks pick up the bacterium while in the larval stage by feeding on infected white-footed mice - certain other species on which the larvae feed do not harbor ...”
June 11, 2019
ceilidh.erickson posted a reply to How to Improve Score Beyond V32 in the GMAT Verbal & Essays forum
“Whenever students tell me "I''ve been studying for months but I haven''t seen any improvement!" usually the missing factor turns out to be that they haven''t been REVIEWING deeply. You mention "completing" the OG, but you don''t tell us anything else about your study process. ...”
June 11, 2019
Brent@GMATPrepNow posted a reply to How many integers between in the Problem Solving forum
“We want to determine how many integers end in 13 For example, 324713, 324813, 324913, 325013, . . . etc. Recognize that, for every 100 consecutive integers, only 1 will end in 13. There are 133,900 integers between 324,700 and 458,600 (since 458,600 - 324,700 = 133,900) Of those 133,900 ...”
June 11, 2019
Brent@GMATPrepNow posted a reply to sum of these 24 integers? in the Problem Solving forum
“Since we''re adding 24 numbers, we know that: Six numbers will be in the form 1--- Six numbers will be in the form 2--- Six numbers will be in the form 3--- Six numbers will be in the form 4--- Let''s first see what the sum is when we say all 24 numbers are 1000, 2000, 3000 or 4000 The sum = ...”
June 11, 2019
June 11, 2019
GMATGuruNY posted a reply to In a certain deck of cards in the Problem Solving forum
“We can PLUG IN THE ANSWERS, which represent the least and greatest integers on the cards. D: least = 4, greatest = 14 (14)(next larger integer) = 14*15 = 210. Too big, since each possible product must be less than 200. Implication: The greatest integer must be LESS THAN 14. Eliminate ...”
June 11, 2019
Brent@GMATPrepNow posted a reply to A certain library in the Problem Solving forum
“1st day - $0.10 2nd day -$0.20 or $0.40 (double or add$0.30) $0.20 is the lesser amount 3rd day -$0.40 or $0.50 (double or add$0.30) $0.40 is the lesser amount 4th day -$0.80 or $0.70 (double or add$0.30) $0.70 is the lesser amount The correct answer is B Cheers, Brent” June 11, 2019 GMATGuruNY posted a reply to Is x^3-x^2+x-1 > 0? in the Data Sufficiency forum “A critical point occurs when the two sides of an equality are EQUAL. To determine the ranges where the left side is GREATER than the right side, test one value to the left and right of each critical point. x³ - x² + x - 1 > 0? x²(x-1) + (x-1) > 0 (x-1)(x²+1) > 0 The two sides are ...” June 11, 2019 Brent@GMATPrepNow posted a reply to rates in the Problem Solving forum “Let''s assign a nice value to x (a value that will work well with all of the numbers 3, 4 and 6. Let''s say x = 24 GIVEN: 4 machines make x units in 6 days This means 4 machines make 24 units in 6 days So, 4 machines make 4 units in 1 day So, 1 machine makes 1 unit in 1 day From here, ...” June 11, 2019 Brent@GMATPrepNow posted a reply to DS in the Data Sufficiency forum “Target question: Is b (the y-coordinate of the point on the line) positive? Given: Line k passes through the origin and through the point (a,b) Statement 1: The slope of line k is negative There are several lines and points that satisfy statement 1. Here are two: Case a: ...” June 11, 2019 Brent@GMATPrepNow posted a reply to In a certain pond in the Problem Solving forum “We can use equivalent ratios here. We''re told that the proportion of tagged fish in the 50-fish SAMPLE is equal to the the proportion of tagged fish in the ENTIRE pond. So, (# tagged fish in SAMPLE)/50 = (total # tagged fish)/(total # of fish in POND) Let x = # of fish in the entire ...” June 11, 2019 GMATGuruNY posted a reply to To celebrate a colleague's retirement, the T coworkers in an in the Problem Solving forum “The T coworkers in an office agreed to share equally the cost of a catered lunch. The lunch costs a total of X dollars. Let X=5 and T=5, implying that the original cost per worker = 5/5 =$1. S of the coworkers fail to pay their share. Which of the following represents the additional amount, ...”
June 11, 2019
Max@Math Revolution posted a new topic called The quadrilateral ABCD is a kite. If AB = BC = 20, CD = DA = in the Problem Solving forum
“https://i.postimg.cc/YvpLPr9z/6-11.png A. 60 B. 72 C. 84 D. 96 E. 108”
June 11, 2019
Max@Math Revolution posted a new topic called Is x^3-x^2+x-1 > 0? in the Data Sufficiency forum
“[GMAT math practice question] Is x^3-x^2+x-1 > 0? 1) x^5 > x^2 2) x^3 + x > x^2 + 1”
June 11, 2019
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
June 11, 2019
Jay@ManhattanReview posted a reply to To celebrate a colleague's retirement, the T coworkers in an in the Problem Solving forum
“Desired share from each = X/T; The actual share of (T – S) coworkers = X/(T – S) Additional amount by each coworker = X/(T – S) – X/T = SX/T(T – S) The correct answer: D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | TOEFL ...”
June 11, 2019
Jay@ManhattanReview posted a reply to A pod of 6 dolphins always swims single file, with 3 females in the Problem Solving forum
“With the given constraint, the 3 females can arrange themselves in 3! = 6 ways; similarly, the 3 males can arrange themselves in 3! = 6 ways. Thus, the total number of ways = 6*6 = 36. The correct answer: B Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: ...”
June 11, 2019
Jay@ManhattanReview posted a reply to x is a positive integer.find the value of x. in the Data Sufficiency forum
“Let''s take each statement one by one. 1) LCM of x and 26 is 52. We see that LCM = 52 = 2^2*13 and 26 = 2*13; thus, x can be either 2^2 = 4 or 2^2*13 = 52. No unique answer. Insufficient. 2) LCM of x and 10 is 20. In the same way, x can be either 2 or 20. No unique answer. Insufficient. ...”
June 11, 2019
Jay@ManhattanReview posted a reply to Fractions question. Don't have any clue about it. in the Problem Solving forum
“Given (x-2)^4/4 + (y+2)^4/9 = 4, we can note that since the exponents are even (4) for both (x-2)^4/4 and (y+2)^4/9, they are non-negative numbers . Thus, two non-negative numbers add up 4. To get the maximum value of x, we must have the maximum value of (x-2)^4/4. This follows that we must have ...”
June 11, 2019
Scott@TargetTestPrep posted a reply to OG2016 - A manufacturer of a certain in the Problem Solving forum
“If at least 0.3 percent of the 20,000 units are defective, then at least 0.3/100 x 20,000 = 60 units will be defective costing 60 x 2,500 = 150,000 dollars. Since we see that 150,000 is the “low” number and only answer choice D has 150,000 as the low number, then answer choice D must be ...”
June 11, 2019
Scott@TargetTestPrep posted a reply to OG2016 In the figure above, what is the ratio in the Problem Solving forum
“We can create the equation: y + y + 10 + 90 = 180 2y = 80 y = 40 Thus: 40/(40 + 10) = 4/5 Answer: D”
June 11, 2019
Scott@TargetTestPrep posted a reply to A retailer sells 5 shirts. The first two he sells for $64... in the Problem Solving forum “We can create the equation: (64 + 39 + n)/5 = 50 103 + n = 250 n = 147 147/3 = 49 Answer: A” June 11, 2019 Scott@TargetTestPrep posted a reply to A sporting good store sells one type of baseball bat... in the Problem Solving forum “We can let b = the cost for a ball and t = the cost for a bat, thus: 2t + 4b = 160 t + 2b = 80 (1) and t + 6b = 160 (2) Subtracting equation one from equation two, we have: 4b = 80 b = 20 So t = 40 We can let n = the number of bats and balls, and create the ...” June 11, 2019 Scott@TargetTestPrep posted a reply to The speed of a subway train is represented by the equation.. in the Problem Solving forum “z(7) = 7^2 + 2(7) = 49 + 14 = 63 z(3) = 3^2 + 2(3) = 9 + 6 = 15 So the difference is 63 - 15 = 48. Answer: D” June 11, 2019 Scott@TargetTestPrep posted a reply to In a certain sequence of 8 numbers, in the Problem Solving forum “From the information given in the problem, we see that the sequence is: -5, -4, -3, -2, -1, 0, 1, 2 So two terms are positive. Answer: C” June 11, 2019 Scott@TargetTestPrep posted a reply to The number of boxes in a warehouse can be divided evenly... in the Problem Solving forum “To solve, we just need to determine the least common multiple of 6 and 27, which is 54. Answer: C” June 11, 2019 Scott@TargetTestPrep posted a reply to Jeff plans to lose weight by reducing his daily calorie... in the Problem Solving forum “Statement One Only: Jeff currently consumes 2,500 calories per day. Knowing his calories intake per day does not allow us to determine the time it takes for his calorie intake to fall below half of its original level. Statement one alone is not sufficient. Statement Two Only: Jeff plans ...” June 11, 2019 Scott@TargetTestPrep posted a reply to A men's basketball league assigns every player in the Problem Solving forum “We need to determine how many two-digit numbers can be created from 5 digits (1 to 5, inclusive), and no digits can be repeated. Since order matters, we have a permutation. Thus, the number of ways to create two-digit numbers is 5P2 = 5!/(5 - 2)! = 5 x 4 = 20. Alternate Solution: If repeated ...” June 11, 2019 Scott@TargetTestPrep posted a reply to When a cylindrical tank is filled with water... in the Problem Solving forum “We can create the equation: πr^2(0.7) = 22 We can use 22/7 as an approximation for π; therefore, we have: (22/7)r^2(0.7) = 22 (22/10)r^2 = 22 r^2/10 = 1 r^2 = 10 r = √10 Answer: B” June 11, 2019 Scott@TargetTestPrep posted a reply to The sum of 5 different positive 2-digit integers is 130. in the Problem Solving forum “Since we want to maximize the largest integer, we must minimize the four smallest integers. The smallest 2-digit integers are 10, 11, 12, and 13,which have a sum of 46. Thus, the largest integer would be 130 - 46 = 84. Answer: B” June 11, 2019 Scott@TargetTestPrep posted a reply to In the coordinate plane, a circle has center (2, -3) in the Problem Solving forum “Because the circle passes through the point (5,0) and has center (2,-3), we know that the distance between these points is the radius of the circle. Since we are given the coordinates for each point, the easiest thing to do is to use the distance formula to determine the circle''s radius. The ...” June 11, 2019 Scott@TargetTestPrep posted a reply to A drink holding 6 ounces of an alcoholic drink that... in the Problem Solving forum “(1/3 x 6 + 1/4 x 32)/2/3 x 6 + 3/4 x 32) (2 + 8)/(4 + 24) 10/28 = 5/14 Alternate Solution: We start with 6 ounces of a drink that is 1/3 rum. We add it to 32 ounces that is1/4 rum. The result is a mixture of 6 + 32 = 38 ounces of x percent of rum. Putting this information into an ...” June 11, 2019 Scott@TargetTestPrep posted a reply to There are 4 machines with the same work rate. If it took k in the Problem Solving forum “Let the rate of each machine be r. We can create the equation: (3r)k = (4r)(k - 2) 3k = 4k - 8 8 = k Answer: E” June 11, 2019 Scott@TargetTestPrep posted a reply to John traveled the entire 50 km trip. If he travelled the fir in the Problem Solving forum “We can use the equation: average = total distance/total time 50/(20/40+ 30/20) 50/(1/2 + 3/2) 50/(4/2) = 50/2 = 25 Answer: C” June 11, 2019 Scott@TargetTestPrep posted a reply to A cylindrical bucket, with height 10 and radius r... in the Problem Solving forum “We see that if the volume of the marbles entering the bucket exceeds the remaining 1/4 of the volume of the bucket, then the water in the bucket will overflow. Since the marbles enter the bucket at a rate of 12 per minute, the volume in the bucket is increased by 12 x r/10 = 6r/5 per minute. ...” June 11, 2019 Scott@TargetTestPrep posted a reply to Working alone at a constant rate, Alan can paint a house... in the Problem Solving forum “We are given that Alan can paint a house in a hours and Bob can paint 1/4 of the same house in b hours. Thus, we can say the following: rate of Alan = 1/a rate of Bob = (1/4)/b = 1/(4b) Rate together = 1/a + 1/(4b). However, since we are also given that, working together, Alan and Bob ...” June 11, 2019 Scott@TargetTestPrep posted a reply to A classic hip-hop radio station can play up to 12 songs per in the Problem Solving forum “If the ratio were 7 : 6, at a minimum 7 + 6 = 13 songs would have played between 1 p.m. and 2 p.m.,, and since the maximum number of songs is 12, 13 songs is not possible. Answer: E” June 11, 2019 Scott@TargetTestPrep posted a reply to Puzzling probability question in the Problem Solving forum “The probability of selecting from the business school any one sibling from the 30 sibling pairs is 30/500. Once that person is selected, the probability of selecting his or her sibling from the law school is 1/800; thus, the probability of selecting a sibling pair is: 30/500 x 1/800 = 3/50 x ...” June 11, 2019 Brent@GMATPrepNow posted a reply to In the multiplication above, # represents a single digit. in the Problem Solving forum “We''re told that # times 512 equals two thousand and something. Well, 4 times 512 = two thousand and something. And 5 times 512 = two thousand and something. No other digits, when multiplied by 512 will give us two thousand and something So, let''s test 4 and 5 (answer choices C and D) If ...” June 10, 2019 Brent@GMATPrepNow posted a reply to In the xy-plane shown, is the slope of the line L negative ? in the Data Sufficiency forum “Target question: Is the slope of the line L negative ? After scanning the two statement, I see that we can jump straight to . . . Statements 1 and 2 combined The COMBINED statements tell us that line l passes through quadrants III and IV. There are several lines that satisfy BOTH ...” June 10, 2019 Ian Stewart posted a reply to With # and & each representing different digits in the in the Problem Solving forum “We''re subtracting something between 10 and 99, and arriving at 667. So we must be subtracting from a number between 677 and 766, and the digit # could only be 6 or 7. But it can''t be 6, because 6&& - 66 will never be equal to 667 (it could be at most 633), so # must be 7. So we have this ...” June 10, 2019 Ian Stewart posted a reply to In the figure above, equilateral hexagon ABCDEF is in the Problem Solving forum “"Equilateral" means "equal sides". It is not a synonym for "regular", which means "equal sides *and* equal angles". Now, it''s true that an equilateral hexagon that you can inscribe in a circle must be regular, but the GMAT certainly would never expect a test ...” June 10, 2019 Ian Stewart posted a reply to In the figure above, square ABCD has an area of 25. in the Problem Solving forum “The diameter of the circle is the diagonal of the square, and the diagonal of the square is the hypotenuse of a 45-45-90 triangle with legs of length 5. Since sides in a 45-45-90 triangle are in a 1 to 1 to √2 ratio, the diameter of the circle is 5√2, so the radius is (5√2)/2, and the area is ...” June 10, 2019 Brent@GMATPrepNow posted a reply to If x ≠ −2, then 5x+10x+2=5x+10x+2 in the Problem Solving forum “Approach #2: We''re asked to evaluate (find the value of) the given expression. Since all of the answer choices are constants (just numbers), we know that the given expression must evaluate to be ONE of the answer choices FOR ALL VALUES OF X. So, let''s test a value of x Try x = 1 We get: ...” June 10, 2019 Brent@GMATPrepNow posted a reply to If x ≠ −2, then 5x+10x+2=5x+10x+2 in the Problem Solving forum “(5x+10)/(x+2) = (5(x+2))/(x+2) = 5 Answer: D Cheers, Brent” June 10, 2019 Ian Stewart posted a reply to Is Hector taller than Charley? (1) Hector is 5 feet in the Data Sufficiency forum “Statement 1 is useless. Statement 2 tells us Charley is 2 inches taller than Hector, so is sufficient.” June 10, 2019 Ian Stewart posted a reply to What will the ratio of birds to fish in a certain pet store in the Data Sufficiency forum “Statement 1 is clearly insufficient. For Statement 2, imagine we take out 4 fish. Then we know that adding back 4 fish and 7 birds doesn''t change our ratio. That can only happen if the ratio is exactly 4 to 7 (if it weren''t exactly 4 to 7, then adding 4 fish and 7 birds would move the ratio ...” June 10, 2019 Brent@GMATPrepNow posted a reply to For any integers a and b, min(a, b) and max(a, b) denote in the Data Sufficiency forum “Notice that min(3, 4) = 3 Notice that min(2, 2) = 2 Notice that min(1, 11) = 1 KEY PROPERTY: In general, we can say that, if min(a,b) = c, then we know that c ≤ a and c ≤ b Target question: What is max(y, 8)? Statement 1: min(9, x) = y This tells us that y ≤ 9 Let''s test ...” June 10, 2019 Ian Stewart posted a reply to Roger can chop down 4 trees in an hour. How long does it in the Data Sufficiency forum “Statement 1 tells us nothing about how quickly Vincent chops down trees. From Statement 2, it takes Vincent twice as long as Roger to chop down trees, so if Roger chops down four in 1 hour, Vincent chops down four in 2 hours. The answer is B. The wording here is too imprecise for the GMAT, ...” June 10, 2019 Ian Stewart posted a reply to x is a nonzero number. Is xy < 0? in the Data Sufficiency forum “Each Statement is clearly insufficient alone, since if y is nonzero, we''ll get different answers to the question by making x positive or negative. Using both statements, y must be zero, so xy = 0, and the answer to the question "is xy < 0?" is ''no'', so the answer is C.” June 10, 2019 Brent@GMATPrepNow posted a reply to From a group of 10 students, 7 girls and 3 boys, a teacher in the Problem Solving forum “Take the task of arranging students and break it into stages. Stage 1: Select two girls Since the order in which we select the women does not matter, we can use combinations. We can select 2 girls from 7 girls in 11C2 ways (21 ways) So, we can complete stage 1 in 21 ways If anyone is ...” June 10, 2019 GMATGuruNY posted a reply to When the integer n is divided by 6, the remainder is 3, Whic in the Problem Solving forum “When the integer n is divided by 6, the remainder is 3. When we are given this wording, the smallest option for n is THE REMAINDER ITSELF. Test n=3 in the answer choices: (A) n – 3 = 3-3 = 0 (B) n + 3 = 3+3 = 6 (C) 2n = 2*3 = 6 (D) 3n = 3*3 = 9 (E) 4n = 4*3 = 12 Only D is not a ...” June 10, 2019 Max@Math Revolution posted a new topic called A 30-60-90 triangle is drawn on the exterior of equilateral in the Problem Solving forum “https://i.postimg.cc/hXcChgYX/6-10.png A. 3 B. 4 C. 5 D. √7 E. 2√7” June 10, 2019 Max@Math Revolution posted a new topic called 0 < a < b < c. Is a < 3? in the Data Sufficiency forum “[GMAT math practice question] 0 < a < b < c. Is a < 3? 1) 1/c > 1/3 2) 1/a + 1/b + 1/c = 1” June 10, 2019 Jay@ManhattanReview posted a reply to Franklin’s wage increased by what percent? in the Data Sufficiency forum “Say initially, Franklin’s wage was$x and after the increase, it is $y. Thus, Franklin’s wage increased by (y – x)*100%/x. We have to get the value of (y – x)*100%/x. Let''s take each statement one by one. (1) Franklin’s wage after the increase was$45,000. => y = 45,000. We ...”
June 10, 2019
Jay@ManhattanReview posted a reply to For any numbers a and b, a#b=a + b - ab. If a#b=0, which of in the Problem Solving forum
“We have a#b = a + b – ab = 0 From a + b – ab = 0, we have a = 1/(b – 1) Since if b = 1, the value of a would be indeterminable, we have b ≠ 1. The correct answer: B Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | TOEFL Prep ...”
June 10, 2019
Jay@ManhattanReview posted a reply to If a and b are odd integers, a Δ b represents the product o in the Problem Solving forum
“We have 3 Δ 47 = 3*5*7*9 ....*47. We see that the largest prime number that divides 3 Δ 47 is 47. Note that (3 Δ 47) and (3 Δ 47) + 2 are consecutive odd numbers; thus, they are co-prime to each other. It means that no factor between them is common. Now since (3 Δ 47) + 2 is an odd number, ...”
June 10, 2019
Jay@ManhattanReview posted a reply to When the integer n is divided by 6, the remainder is 3, Whic in the Problem Solving forum
“Say the quotient when the integer n is divided by 6, with the remainder 3 is q. Thus, n = 6q + 3 Let''s take each option one by one. (A) n – 3 => n – 3 = 6q + 3 – 3 = 6q. We see that 6q is a multiple of 6; thus, not the correct answer. (B) n + 3 => n + 3 = 6q + 3 + 3 = 6q + 6 ...”
June 10, 2019
Scott@TargetTestPrep posted a reply to Cats and Dogs in the Problem Solving forum
“The number of choices for the animals is 9, and the number of locations is 2, so the total number of options is 9 x 2 = 18. Answer: D”
June 10, 2019
Scott@TargetTestPrep posted a reply to How many different positive integers are factors of 225? in the Problem Solving forum
“To determine the number of positive integer factors of 225, we first factor 225 as: 225 = 15^2 = 5^2 x 3^2, We see that the exponent of 5 is 2, and the exponent of 3 is 2. We add 1 to each of these exponents and then calculate the product. Thus, there are (2 + 1)(2 + 1) = 3 x 3 = 9 ...”
June 10, 2019
Scott@TargetTestPrep posted a reply to In a certain city, 60 percent of the registered voters in the Problem Solving forum
“If there are 200 voters, then 120 are Democrats and 80 are Republicans. Also, 0.75 x 120 = 90 Democrats vote for Candidate A, and 0.2 x 80 = 16 Republicans vote for Candidate A. Thus, (16 + 90)/200 = 106/200 = 0.53 = 53% of the voters are expected to vote for Candidate A. Answer: B”
June 10, 2019
Scott@TargetTestPrep posted a reply to Which of the following is a factor of 1001^32 -1 in the Problem Solving forum
“Using the difference of squares, we have: (1001^16 + 1)(1001^16 - 1) (1001^16 + 1)(1001^8 - 1)(1001^8 +1) (1001^16 + 1)(1001^4 - 1)(1001^4 + 1)(1001^8 +1) (1001^16 + 1)(1001^2 - 1)(1001^2 + 1)(1001^4 + 1)(1001^8 +1) (1001^16 + 1)(1001 - 1)(1001 + 1)(1001^2 + 1)(1001^4 + 1)(1001^8 +1) ...”
June 10, 2019
Scott@TargetTestPrep posted a reply to In 2008, the profits of Company N were 10 percent... in the Problem Solving forum
“We can let the revenues in 1998 = 100. Thus, the profits in 1998 = 100 x 0.1 = 10, the revenues in 1999 = 100 x 0.8 = 80, and the profits in 1999 = 80 x 0.15 = 12. Therefore, the profits in 1999 were 12/10 x 100 = 120 percent of the profits in 1998. Answer: C”
June 10, 2019
Scott@TargetTestPrep posted a reply to In triangle XYZ, side XY, which runs perpendicular to side.. in the Problem Solving forum
“Since XY is perpendicular to YZ, the triangle is a right triangle, and hence we can use the Pythagorean theorem to determine side YZ: (XY)^2 + (YZ)^2 = (XZ)^2 24^2 + s^2 = 26^2 576 + s^2 = 676 s^2 = 100 s = 10 Since the area of a right triangle is half the product of the two legs, ...”
June 10, 2019
Scott@TargetTestPrep posted a reply to Gill drives 120 miles from Los Angeles to San Diego... in the Problem Solving forum
“We can use the formula: average rate = total distance/total time. The rate on the first leg is 40, and the rate on the second leg is 1.5 x 40 = 60. The time on the first leg is 120/40 = 3, and the time on the second leg is 120/60 = 2. The average speed is: 240/5 = 48 Answer: B”
June 10, 2019
Scott@TargetTestPrep posted a reply to Juan goes out cycling outdoors. He travels at an average... in the Problem Solving forum
“We can let the one-way trip be 60 miles; therefore, we have: Average Speed = (Total Distance)/(Total Time) Average Speed = (60 + 60)/(60/15 + 60/20) Average Speed = 120/7 Average Speed ≈ 17.1 Answer: B”
June 10, 2019
Scott@TargetTestPrep posted a reply to If a large pizza has a radius that is 30% larger in the Problem Solving forum
“We can let the radius of the medium pizza = 10, and thus the radius of the large pizza = 13. Therefore, we have: Area of medium pizza = 100π Area of large pizza = 169π Using the percent change formula: (New - Old)/Old x 100, we obtain: (169π - 100π)/100π x 100 = 69/100 = 69% ...”
June 10, 2019
Scott@TargetTestPrep posted a reply to If x and y are two-digit integers such that x > 40 in the Problem Solving forum
“The maximum value of xy is 99 * 69, which is approximately 100 * 70 = 7,000. Answer: D”
June 10, 2019
Scott@TargetTestPrep posted a reply to What is the ratio of y to x if (x + 3y) / ( x - y) = 3/4? in the Problem Solving forum
“y to x if $$\frac{(x+3y)}{\left(x-y\right)}=\frac{3}{4}?$$ A) -15/4 B) -5/3 C) -1/15 D) 3/5 E) 15/1 /quote] Cross multiplying, we have: 4x + 12y = 3x - 3y 15y = -x y/x = -1/15 Answer: C”
June 10, 2019
Max@Math Revolution posted a reply to If 0.001 < a < 0.002 and 1,000 < b < 2,000, whic in the Problem Solving forum
“=> $$\frac{a^3b^2+a^2b^3}{a^3b^3}=\frac{1}{a}+\frac{1}{b}$$ Since 0.001 < a < 0.002 and 1,000 < b < 2,000, we have 500 < 1/a < 1000 and 1/2000 < 1/b < 1/1000. Thus $$500+\frac{1}{2000}\ <\ \frac{a^3b^2+a^2b^3}{a^3b^3}\ <\ 1000+\frac{1\ }{1000}$$ ...”
June 10, 2019
Max@Math Revolution posted a reply to he sequence An satisfies An = An-1An-2, where n is a positiv in the Problem Solving forum
“=> A1 = 1 A2 = 2 A3 = A2/A1 = 2/1 =2 A4 = A3/A2 = 2/2 =1 A5 = A4/A3 = 1/2 A6 = A5/A4 = (1/2)/1 = 1/2 A7 = A6/A5 = (1/2)/(1/2) =1 A8 = A7/A8 = 1/(1/2) = 2 Since A7 = 1 and A8 = 2, the sequence is periodic with period 6. Thus, A123 = A3 = 2 since 123=6·20+3 Therefore, the answer is ...”
June 10, 2019
Max@Math Revolution posted a reply to If the symbol # represents one of addition, subtraction, mul in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
June 10, 2019
Max@Math Revolution posted a reply to We define ‘a mod n’ to be the remainder when a is divid in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
June 10, 2019
deloitte247 posted a reply to Normally it takes a week for a cake to become moldy in a in the Critical Reasoning forum
“Option A - Incorrect The topic of interest is about if the cake has turned moldy or not based on the number of days it has spent. So, the question about Alex''s refrigerator being clean or not was discussed. Therefore, this option does not, in any way, strengthens the statement. This option is thus ...”
June 9, 2019
deloitte247 posted a reply to Women make up a larger proportion of workers in the informat in the Critical Reasoning forum
“Option A - Incorrect In evaluating the argument, the percentage of women in the workforce who were not employed in the information agency is not needed, because, the percentage of women who were employed in the information industry has been provided in the argument. Option B - Incorrect The ...”
June 9, 2019
deloitte247 posted a reply to Astronomer: Observations of the Shoemaker-Levi comet on its in the Critical Reasoning forum
“Option A - Incorrect The first boldface does not serve as a presented circumstance to which the astronomer explains. Also, for the second boldface, it''s not an explanation but a conclusion to the argument. Option B - Incorrect This is incorrect because the first boldface isn''t a consideration ...”
June 9, 2019
Ian Stewart posted a reply to The ratio of red balls to green balls is 4:3. Three green in the Problem Solving forum
“Adding 3 balls corresponds to changing one value in the ratio by 1, so our ''multiplier'' must be 3, and we must have 12 and 9 balls of each colour, so the answer is 12.”
June 9, 2019
Ian Stewart posted a reply to In how many ways can 10 different paintings be distributed in the Problem Solving forum
“Half the time, the first collector gets less than 5 paintings, so 0, 2 or 4 paintings. We can choose those paintings in 10C0 + 10C2 + 10C4 ways, or 1 + (10)(9)/2! + (10)(9)(8)(7)/4! = 1 + 45 + 210 = 256 ways. The other half of the time, or another 256 times, the first collector gets more than ...”
June 9, 2019
GMATGuruNY posted a reply to A real estate investment firm began the year with 80% of its in the Problem Solving forum
“Let the total investment = $1000, implying that commercial holdings = 80% of 1000 =$800 and that residential holdings = 1000-800 = $200. Since the total$1000 investment grows by 3.5%, the total growth = 3.5% of 1000 = $35. Since the$800 in commercial holdings grows by 7%, the growth in ...”
June 9, 2019
GMATGuruNY posted a reply to In order to conserve the energy and heat in the Sentence Correction forum
“A: reducing the rate at which they burn energy so that it is 25 percent lower Since the penguins are REDUCING THE RATE, we know from context that it refers to the rate, conveying that THE RATE is lower. Regardless, an answer choice may be eliminated for pronoun ambiguity only if an alternate ...”
June 9, 2019
GMATGuruNY posted a reply to Ann deposited money into two new accounts, A and B. Account in the Data Sufficiency forum
“What is the value of 0.08B - 0.05A? Statement 1: B-A = 200 B = A+200 Case 1: A = $100 and B=$300, with the result that 0.08B - 0.05A = 0.08(300) - 0.05(100) = 24-5 = 19 Case 2: A = $200 and B=$400, with the result that 0.08B - 0.05A = 0.08(400) - 0.05(200) = 32-10 = 22 Since 0.08B-0.05A ...”
June 9, 2019
Ian Stewart posted a reply to Is the product of 3p and 4 greater than 20? in the Data Sufficiency forum
“We want to know if 12p > 20, or if p > 5/3, so if p > 1.6666.... Dividing by 5 on both sides in Statement 1, we learn p > 7/5, so p > 1.4, That doesn''t guarantee that p > 1.666..., so Statement 1 is not sufficient. Adding 5 to both sides of Statement 2, we find 3p > 6, ...”
June 8, 2019
deloitte247 posted a reply to On July 1 of last year, total employees at company E was in the Problem Solving forum
“No of employee before July 1 = x No of employee after July 1 = 0.9x Average salary before July 1 = y Average salary after July 1 = 1.1y Total salary before July 1 = xy Total salary after July 1 = 1.1*0.9*xy = 0.99xy $$Expres\sin g\ as\ \%\ of\ xy$$ ...”
June 8, 2019
deloitte247 posted a reply to If 272/4^6 = 1/4^m+ 1/4^n, what is the value of mn? in the Problem Solving forum
“$$If\ \frac{272}{4^6}=\frac{1}{4^m}+\frac{1}{4^n}\ what\ is\ mn$$ $$\frac{\left(4^{^2}\cdot17\right)}{4^6}=\frac{1}{4^m}\cdot\frac{1}{4^n}$$ $$\frac{\left(4^2\cdot17\right)}{4^2\cdot4^4}=\frac{1}{4^m}\cdot\frac{1}{4^n}$$ $$\frac{17}{4^4}=\frac{1}{4^m}\cdot\frac{1}{4^n}$$ ...”
June 8, 2019
deloitte247 posted a reply to Ann deposited money into two new accounts, A and B. Account in the Data Sufficiency forum
“$$SI=\frac{PRT}{100}$$ $$For\ account\ A,\ SI=\frac{ART}{100}=\frac{\left(A\cdot5\cdot1\right)}{100}=0.05A$$ $$For\ account\ B;\ SI=\frac{BRT}{100}=\frac{\left(B\cdot8\cdot1\right)}{100}=0.08B$$ Statement 1 Ann deposited 250 dollars more in account B than account A $$B-200=A$$ ...”
June 8, 2019
deloitte247 posted a reply to At 11 AM, Abraham leaves from his home for meeting that is in the Data Sufficiency forum
“$$Dis\tan ce\ from\ \hom e\ to\ meeting\ge100km$$ $$Time\ taken\ is\ \exp ected\ to\ be\ \le2hrs\ to\ avoid\ lateness$$ $$speed\ge60\ \frac{km}{hr}$$ Will Abraham be late for the meeting? Statement 1 The venue of the meeting is less than 120 km away. $$100km\le Dis\tan ce\le120km$$ If the ...”
June 8, 2019
deloitte247 posted a reply to A real estate investment firm began the year with 80% of its in the Problem Solving forum
“Let overall investment = 100 % Investment increase by 3.5% Investment = 100 + 3.5 = 103.5% Commercial Investment = 80 % Commercial Investment increase by 7% 7% of 80 = 5.6 Residential real estate = 20% Changes in Residential real Estate = 3.5 - 5.6 = -2.1 $$-\frac{2.1}{20\%}=-0.105\%$$ ...”
June 8, 2019
deloitte247 posted a reply to m and n are positive numbers. (2^m)^n = 512. What is the min in the Problem Solving forum
“$$\left(2^m\right)^n=512$$ $$2^{mn}=512$$ $$2^9=512$$ $$2^{mn}=2^9$$ $$mn=9$$ Product of 2 positive number that will yield 9 are (1 and9) or (3 and 3) 1*9 = 9 3*3 = 9 when m =1 and n = 9 m + n = 10 when m = 3 and n = 3 m + n = 6 Minimum value of m + n will ...”
June 8, 2019
deloitte247 posted a reply to Two trees have a combined height of 60 feet, and the taller in the Problem Solving forum
“Let the taller tree = T Let the shorter tree = S $$T+S=60ft---eqni$$ $$T=x\cdot S---equ\ ii$$ $$substituting\ \left(X\cdot S\right)for\ T\ in\ equ\ i$$ $$\left(x\cdot S\right)+S=60$$ $$xS+S=60$$ $$S\left(x+1\right)=60$$ divide through by coefficient of S ...”
June 7, 2019
deloitte247 posted a reply to Of all houses on Kermit Lane, 20 have front porches, 20 have in the Data Sufficiency forum
“How many houses are on kermit Lane? Statement 1 No house on kermit lane is without back yard This means that all house on kermit lane have a backyard since number of houses with backyard = 40 Therefore, 40 houses are on kermit lane. Statement 1 is SUFFICIENT. Statement 2 Each house on ...”
June 7, 2019
deloitte247 posted a reply to Robin drove from Townville to Villageton. Upon arriving in in the Data Sufficiency forum
“$$Average\ speed=\ \frac{Dis\tan ce}{time\ taken}$$ What was Robin''s Average speed for the entire drop Statement 1 While driving from Townville to Villageton Robin''s average speed was 40 miles per hour while driving from villageton to Townvile Robin''s average speed was 60 miles per hour. ...”
June 7, 2019
Ian Stewart posted a reply to A combined of 55 light bulbs are stored in two boxes; of the in the Data Sufficiency forum
“We have 2 broken bulbs in the first box, so the rest of the 7 broken bulbs must be in the second box, and we have 5 broken bulbs in the second box. From Statement 1, we have 30 unbroken bulbs in the first box, and thus 32 bulbs in total in that box. The rest of the bulbs are in the other box, so ...”
June 7, 2019
deloitte247 posted a reply to A certain diet program calls for eating daily calories from in the Data Sufficiency forum
“Statement 1 One of the meals Bill ate contained 80 grams of carbohydrates, 60 grams of protein and 60 grams of fat. Thus, statement 1 only provides information about one meal that Bill ate. Carbohydrate = 80 * 4 = 320 Protein = 60 * 4 = 240 Fat = 60 * 90 = 540 Since there is no information ...”
June 7, 2019
Brent@GMATPrepNow posted a reply to If 3 different integers are randomly selected from the integ in the Problem Solving forum
“I specifically created this question to illustrate the importance of calculating the denominator first (when using counting techniques to solve a probability question) There are two reasons why you should calculate the denominator first: 1) The denominator is almost always easier to calculate ...”
June 7, 2019
Max@Math Revolution posted a new topic called If 0.001 < a < 0.002 and 1,000 < b < 2,000, which of the fo in the Problem Solving forum
“[GMAT math practice question] 6.7 If 0.001 < a < 0.002 and 1,000 < b < 2,000, which of the following could be the value of a^3b^2+a^2b^3/a^3b^3? A. 15 B. 125 C. 625 D. 1250 E. 6250”
June 7, 2019
Max@Math Revolution posted a reply to If 272/4^6 = 1/4^m+ 1/4^n, what is the value of mn? in the Problem Solving forum
“=> $$\frac{272}{4^6}=\frac{17}{4^4}=\frac{1+16}{4^4}=\frac{1}{4^4}+\frac{16}{4^4}=\frac{1}{4^4}+\frac{1}{4^2}$$ Thus m = 4 and n = 2, or m = 2 and n = 4. So, mn = 8. Therefore, the answer is D. Answer: D ”
June 7, 2019
Max@Math Revolution posted a new topic called If the symbol # represents one of addition, subtraction, mul in the Data Sufficiency forum
“[GMAT math practice question] If the symbol # represents one of addition, subtraction, multiplication, or division, what is the value of (2 # 1)? 1) 2 # 2 = 1 2) (–1/2) # (-1) = 1/2”
June 7, 2019
Max@Math Revolution posted a reply to Is x < y < z ? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
June 7, 2019
Jay@ManhattanReview posted a reply to Ann deposited money into two new accounts, A and B. Account in the Data Sufficiency forum
“Say Ann deposited $A in Account A and$B in Account B. Thus, she earned 5A/100 = $A/20 in the first year from Account A and earned 8B/100 =$2B/25 in the first year from Account B. We have to get the value of 2B/25 – A/20. Let''s take each statement one by one. 1) Ann deposited $200 ...” June 7, 2019 Jay@ManhattanReview posted a reply to Machines X and Y produced identical bottles at different con in the Data Sufficiency forum “Say Machine X filled X bottles in 4 hours; thus, Machine X''s rate = X/4 bottles per hour; and Machine Y filled X bottles in 3 hours; thus, Machine Y''s rate = Y/3 bottles per hour We have to find out in how many hours will Machine X will fill (X + Y) bottles. It will take (4 + 4Y/X) hours. ...” June 7, 2019 Scott@TargetTestPrep posted a reply to Steve traveled the first 2 hours of his journey... in the Problem Solving forum “Steve’s total distance was 2 x 40 + 3 x 80 = 80 + 240 = 320 miles. We can now determine average speed: Average speed = (total distance)/(total time) Average speed = 320/5 = 64 mph Answer: D” June 7, 2019 Scott@TargetTestPrep posted a reply to If two projectiles are launched at the same moment from... in the Problem Solving forum “We can create the equation: 480t + 510t = 1320 990t = 1320 = 1 1/3 hours = 1 hour 20 minutes = 80 minutes Answer: C” June 7, 2019 Scott@TargetTestPrep posted a reply to On July 1 of last year, total employees at company E was in the Problem Solving forum “We can start by defining a few variables. n = the number of employees at Company E last year before July 1 x = the average salary of an employee at company E last year before July 1 We are given that on July 1 of last year, the total number of employees at Company E was decreased by 10 ...” June 7, 2019 Scott@TargetTestPrep posted a reply to A car travels from Town A to Town B at an average speed of in the Problem Solving forum “We can let the distance each way = 200 and use the formula: average rate = total distance/total time: average rate = (200 + 200)/(200/40 + 200/50) average rate = 400/9 = 44 4/9 mph Answer: D” June 7, 2019 Scott@TargetTestPrep posted a reply to VIC question -- picking numbers in the Problem Solving forum “We are given that T coworkers agreed to equally split the payment for the cost of a lunch. We are also given that the lunch costs x dollars, and S coworkers do not pay their share. We need to determine the ADDITIONAL AMOUNT that each coworker has to pay now. The original cost per person for ...” June 7, 2019 Scott@TargetTestPrep posted a reply to GMAT Prep in the Problem Solving forum “We know that the business didn’t need to pay storage costs from November to February. So let’s begin by analyzing what happened in March. Just before March, the business had 4x rakes, and at the beginning of March, they shipped out x/2 rakes; therefore, for the month of March, they had 4x - x/2 ...” June 7, 2019 Scott@TargetTestPrep posted a reply to There are 1600 jelly beans divided between two jards, X and in the Problem Solving forum “We can let y = the number of jelly beans in jar Y; thus, there are 3y - 100 jelly beans in jar X. We can now create the equation: 3y - 100 + y = 1600 4y = 1700 y = 425 Therefore, there are 3(425) - 100 = 1275 - 100 = 1175 jelly beans in jar X. Answer: D” June 7, 2019 Scott@TargetTestPrep posted a reply to Hotel California in the Problem Solving forum “We can let the total number of lights be 100 and let n = the number of lights supposed to be switched off. Thus, 100 - n = the number of lights supposed to be switched on. From the information given in the problem, we see that 0.4n of the supposed turn-off lights are on and 0.9(100 - n) of the ...” June 7, 2019 Scott@TargetTestPrep posted a reply to Of the 12 temporary employees in a certain company, 4 will in the Problem Solving forum “We are asked to find the number of ways of choosing 3 women from a group of 5 women and 1 man from a group of 7 men. Let’s first find the number of ways to choose 3 women from 5. Since the order of how the 3 women are chosen doesn’t matter, we use combinations: 5C3 = 5!/(3! x 2!) = (5 x ...” June 7, 2019 Scott@TargetTestPrep posted a reply to If Adrian mixes 15 liters of saline solution A with 5 liters in the Problem Solving forum “Let solution A be an x% saline solution; we can create the equation: 15(x/100) + 5(0.4) = 0.25(15 + 5) 15x/100 + 2 = 5 15x/100 = 3 15x = 300 x = 20 Answer: D” June 7, 2019 Scott@TargetTestPrep posted a reply to Problem Solving in the Problem Solving forum “The savings for a taxpayer is: 0.4(45,000) - 0.33(45,000) 45,000(0.4 - 0.33) 45,000(0.07) = 3,150 Answer: C” June 7, 2019 Scott@TargetTestPrep posted a reply to Math Q: Combination Formula?? in the Problem Solving forum “Let’s analyze the answer choices. If there are 5 different colors, the number of codes that can be formed is 5C1 + 5C2 = 5 + 10 = 15, which is not sufficient for the 20 different chemicals. If there are 6 different colors, the number of codes that can be formed is 6C1 + 6C2 = 6 + 15 = 21, ...” June 7, 2019 Max@Math Revolution posted a new topic called he sequence An satisfies An = An-1An-2, where n is a positiv in the Problem Solving forum “n satisfies An = An-1/An-2, where n is a positive integer greater than 2. If A1=1 and A2=2, then A123=? A. 1/2 B. 1/4 C. 1 D. 2 E. 4” June 7, 2019 Max@Math Revolution posted a reply to 1 + 2 + … + k = k(k+1)/2. m and n are positive integers sa in the Problem Solving forum “=> n + (n+1) + … + (m-1) + m = 1 + 2 + … + (n-1) + n + (n+1) + … + (m-1) + m – (1 + 2 + … + (n-1)) = m(m+1)/2 - (n-1)(n-1+1)/2 = m(m+1)/2 – n(n-1)/2 = (1/2)(m(m+1) – n(n-1)) = (1/2)(m^2 + m – n^2 + n) = (1/2)(m^2 – n^2 + m + n ) = (1/2)( (m+n)(m-n) + (m+n) ) = ...” June 7, 2019 Max@Math Revolution posted a new topic called We define ‘a mod n’ to be the remainder when a is divided b in the Data Sufficiency forum “[GMAT math practice question] We define ‘a mod n’ to be the remainder when a is divided by n. What is the value of ‘a mod 12’? 1) a mod 3=1 2) a mod 4=a mod 2” June 7, 2019 Max@Math Revolution posted a reply to If two integers have no common factors other than 1, they ar in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” June 7, 2019 Scott@TargetTestPrep posted a reply to GMAC Official Practice Test #5 in the GMAT Math forum “We are given the following sequence: t(1), t(2), t(3),…,t(n). We are asked to find the value of n, or, in other words, we need to determine the number of terms in the sequence. Statement One Alone: The sum of the n terms is 3,124. Knowing only that the sum of the n terms is 3,124 ...” June 7, 2019 Scott@TargetTestPrep posted a reply to x + 2y + 3z = 4 and 5x + 4y + 3z = 8. What is the value of x in the Problem Solving forum “Adding the equations, we have: 6x + 6y + 6z = 12 Dividing by 6, we have: x + y + z = 2 Answer: B” June 7, 2019 Scott@TargetTestPrep posted a reply to 10 factories, working for h hours per day, can produce P in the Problem Solving forum “Normally, the factories will take 10 days to produce 2P units of car if they work h hours per day. However, if they only work h/2 hours per day, the number of days will be doubled to 20 to produce 2P units of car. Therefore, they need an additional 10 days. Answer: D” June 7, 2019 Scott@TargetTestPrep posted a reply to Five friends play blackjack in Las Vegas and lose an average in the Problem Solving forum “The total loss of all the friends is 500 dollars. Since two friends lost 380 dollars, the remaining 3 friends lost a total of 120 dollars, or an average of 120/3 = 40 dollars. Answer: A” June 7, 2019 Scott@TargetTestPrep posted a reply to In a sequence of 40 numbers, each term, except for the first in the Problem Solving forum “Since each term, except for the first one, is 7 less than the previous term, it must mean the first term is the greatest term, i.e., a_1 = 281. The smallest term must be the last term, i.e., the 40th term. The sequence depicted is also an arithmetic sequence, and we know that the nth term of an ...” June 7, 2019 Scott@TargetTestPrep posted a reply to Each of the 200 students in a class enrolled in at least one in the Problem Solving forum “Since x is the number of students who enrolled in all the three courses, the maximum value of x can’t exceed the number of students in the least enrolled course, which is Physics. Therefore, the maximum value of x is 30. Answer: C” June 7, 2019 Scott@TargetTestPrep posted a reply to Pat has a pocket full of quarters, dimes, and nickels. He in the Problem Solving forum “The only way one can make 70 cents using 6 coins in two types of coins is 2 quarters and 4 nickels. Therefore, Pat is holding 4 nickels. Answer: C” June 7, 2019 Scott@TargetTestPrep posted a reply to A company has two types of machines, type R and type S. in the Problem Solving forum “We have a combined worker problem for which we can use the following formula: work (1 machine) + work (2 machine) = total work completed Since we are completing one job, we can say: work (1 machine) + work (2 machine) = 1 We are given that a machine of type R does a certain job in 36 ...” June 7, 2019 Scott@TargetTestPrep posted a reply to Which of the following sets contains only factors of 45? in the Problem Solving forum “Since 45 does not contain 7 or 13 as a factor, of the answer choices, only D can be correct. Answer: D” June 7, 2019 Brent@GMATPrepNow posted a reply to Puzzling probability question in the Problem Solving forum “P(selecting a sibling pair) = P(select a business student with a sibling AND select a law student who is that business student''s sibling) = P(select a business student with a sibling) x P(select a law student who is that business student''s sibling) = 30/500 x 1/800 = 30/400,000 = 3/40,000 = ...” June 6, 2019 Brent@GMATPrepNow posted a new topic called If 3 different integers are randomly selected from the integ in the Problem Solving forum “If 3 different integers are randomly selected from the integers from 1 to 12 inclusive, what is the probability that a triangle can be constructed so that its 3 sides are the lengths of the 3 selected numbers? A) 3/8 B) 7/18 C) 19/44 D) 39/88 E) 11/24 Answer: C Source: ...” June 6, 2019 Ian Stewart posted a reply to Find the area of the rectangle ABCD, if the length and bread in the Data Sufficiency forum “From Statement 1, 2L + 2W = 28, so L + W = 14. There are a few pairs of positive odd integers that add to 14, say 9 and 5 or 3 and 11, and these will give us different areas, so this is not sufficient. From Statement 2, the area of an L by L square is 80% bigger than the area of our L by W ...” June 6, 2019 Jay@ManhattanReview posted a reply to At 11 AM, Abraham leaves from his home for meeting that is in the Data Sufficiency forum “Starting at 11 am, Abraham must reach within 2 hours, else he''s late. Let''s take each statement one by one. 1) The venue of the meeting is less than 120 kilometers away. Even if we take the maximum distance = 120 miles and minimum speed = 60 mph, he reaches office in 120/60 = 2 hours. So, ...” June 6, 2019 Jay@ManhattanReview posted a reply to On a particular trip, Jane drove x miles at 30 miles per in the Data Sufficiency forum “Average speed = Total Distance / Total Time Total Distance = (x + y) miles Total Time = (x/30 + y/40) hours Thus, Average speed = (x + y) / (x/30 + y/40) We have to determine whether (x + y) / (x/30 + y/40) > 35 Upon solving (x + y) / (x/30 + y/40) > 35, we get y/x > 4/3. Only ...” June 6, 2019 Jay@ManhattanReview posted a reply to On July 1 of last year, total employees at company E was in the Problem Solving forum “Since we have to deal with percent values and absolute value in the sight, we can assume convenient values, 100. Total no. of employees (Before) = 100 (assumed value) Total salary (Before) = 100 (assumed value) Average salary (Before) = 100/100 =$1 per employee Total no. of employees ...”
June 6, 2019
Max.P@EMPOWERgmat.com posted a reply to Linking arrangements among secondary schools and the in the Sentence Correction forum
“Hello Everyone! Let''s tackle this question, one thing at a time, and narrow down our options to the correct one! To begin, let''s do a quick scan over the options and highlight any major differences in orange: Linking arrangements among secondary schools and the workplace never evolved in the ...”
June 5, 2019
Max.P@EMPOWERgmat.com posted a reply to Severely hindered by problems with local suppliers, the fact in the Sentence Correction forum
“Hello Everyone, This is a great example of a MODIFIER question you might find on the GMAT! Let''s start off by taking a quick look at the original question, and highlighting any major differences in orange: Severely hindered by problems with local suppliers, the fact that the AQ division also ...”
June 5, 2019
Max.P@EMPOWERgmat.com posted a reply to Although the rise in the Producer Price Index was greater th in the Sentence Correction forum
“Hello Everyone! This is a great example of a GMAT question that focuses on PARALLELISM! Let''s start off by doing a quick scan over the options and highlighting any major differences we see in orange: Although the rise in the Producer Price Index was greater than expected, most analysts agreed ...”
June 5, 2019
Max.P@EMPOWERgmat.com posted a reply to Ramón pointed out that food high in whole-grain fiber creat in the Sentence Correction forum
“Hello Everyone! Let''s tackle this question, one issue at a time, and narrow it down to the correct choice quickly! To begin, let''s scan over the options and highlight any major differences we can find in orange: Ramón pointed out that food high in whole-grain fiber creates the energy we ...”
June 5, 2019
Max.P@EMPOWERgmat.com posted a reply to Although some had accused Smith, the firm’s network manage in the Sentence Correction forum
“Hello Everyone! Let''s tackle this question, one thing at a time, and narrow it down to the correct choice! To start, let''s take a quick scan over the options and highlight any major differences in orange and purple: Although some had accused Smith, the firm’s network manager, of negligence ...”
June 5, 2019
Ian Stewart posted a reply to Hotel California in the Problem Solving forum
“We have two groups of lights: lights that should be on, and lights that should be off. Overall, 80% of lights are on. Of lights that should be on, 90% are on (since 10% are off), and of lights that should be off, 40% are on. So we have a standard mixtures situation, which is always a weighted ...”
June 5, 2019
Ian Stewart posted a reply to There are 1600 jelly beans divided between two jards, X and in the Problem Solving forum
“The wording is awkward, but if we have x beans in jar X, and y beans in jar Y, the question tells us x = 3y - 100. Since x+y = 1600, substituting for ''x'' we get 3y - 100 + y = 1600 4y = 1700 y = 425 and the rest of beans, 1600-425 = 1175 beans, are in jar X.”
June 5, 2019
Brent@GMATPrepNow posted a reply to GMAT Prep in the Problem Solving forum
“In the 4 months leading up to March, the company PRODUCES 4x rakes (4 months at x/month = 4x) On March 1, x/2 rakes are SHIPPED, leaving 3.5x rakes for which the company must pay storage fees. On April 1, x/2 rakes are SHIPPED, leaving 3x rakes for which the company must pay storage fees. ...”
June 5, 2019
Brent@GMATPrepNow posted a reply to VIC question -- picking numbers in the Problem Solving forum
“Originally, T people were to pay total cost of x dollars. So, each person pays x/T each. After S people drop out, there are T-S people to pay total cost of x dollars. So, each person pays x/(T-S) each. The additional amount that each must pay = New cost per person - original cost per ...”
June 5, 2019
Brent@GMATPrepNow posted a reply to Hotel California in the Problem Solving forum
“One option is to use the Double Matrix method. Here, we have a population of lightbulbs, and the two characteristics of each bulb are: - incandescent or fluorescent - on or off Since the questions asks us to find a certain PERCENT, let''s say that there are 100 bulbs altogether. So, we ...”
June 5, 2019
Brent@GMATPrepNow posted a reply to Of the 12 temporary employees in a certain company, 4 will in the Problem Solving forum
“Take the task of selecting the employees and break it into stages. Stage 1: Select the 3 women The order in which we select the women does not matter, so we can use combinations. We can select 3 women from 5 women in 5C3 ways (= 10 ways) Aside: If anyone is interested, here''s video on ...”
June 5, 2019
Brent@GMATPrepNow posted a reply to If k is 96% greater than its reciprocal, which of the follow in the Problem Solving forum
“k is 96% greater than its reciprocal The reciprocal of k is 1/k So, we can write: k = (1/k) + (96% of 1/k) In other words: k = (1/k) + 0.96(1/k) Simplify: k = 1.96(1/k) Simplify: k = 1.96/k Multiply both sides by k to get: k² = 1.96 Solve: k = 1.4 of k = -1.4 Rewrite as follows: k = 7/5 of ...”
June 5, 2019
Max@Math Revolution posted a new topic called If 272/4^6 = 1/4^m+ 1/4^n, what is the value of mn? in the Problem Solving forum
“[GMAT math practice question] If 272/4^6 = 1/4^m+ 1/4^n, what is the value of mn? A. 2 B. 4 C. 6 D. 8 E. 12”
June 5, 2019
Max@Math Revolution posted a reply to In the sequence An, A1=1，A2=2, and An+2=An+1+An+An-1+….+ in the Problem Solving forum
“=> A3 = A1 + A2 A4 = A1 + A2 + A3 = A3 + A3 = 2A3 A5 = A1 + A2 + A3 + A4 = A4 + A4 = 2A4 … A13 = A1 + A2 + A3 + … + A11 + A12 = A12 + A12 = 2A12 A14 = A1 + A2 + A3 + … + A12 + A13 = A13 + A13 = 2A13 = 2(2A12) = 4A12 Thus A14 / A12 = 4 Therefore, E is the answer. Answer: E”
June 5, 2019
Max@Math Revolution posted a new topic called Is x < y < z ? in the Data Sufficiency forum
“[GMAT math practice question] Is x < y < z ? 1) |x+2| < y < z+2 2) |x-2| < y < z-2”
June 5, 2019
Max@Math Revolution posted a reply to Is pqr is a multiple of 5? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
June 5, 2019
Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum
“To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...”
June 5, 2019
Brent@GMATPrepNow posted a new topic called If k is 96% greater than its reciprocal, which of the follow in the Problem Solving forum
“If k is 96% greater than its reciprocal, which of the following is an integer? A) 3k/7 B) 3k/5 C) 5k/7 D) 5k/3 E) 7k/5 Source: www.gmatprepnow.com Difficulty level: 600-650 Answer: C”
June 4, 2019
Ian Stewart posted a reply to Pat has a pocket full of quarters, dimes, and nickels. He in the Problem Solving forum
“He has 6 coins, and he has two types of coins, including nickels. If he has only nickels and dimes, he could have at most 60 cents. But he has 70 cents, so he must have nickels and quarters. Since he must have at least 1 quarter, and can''t have 3 or more (then he''d have more than 70 cents), ...”
June 4, 2019
Ian Stewart posted a reply to The length of one of the sides of an acute angled triangle in the Problem Solving forum
“Take the side of length 15 as the base. If we draw a height from that base, then since the area is 90, that height must be 12. When we draw that height, we divide the triangle into two smaller right triangles, each of which has, as its hypotenuse, one of the other two sides of the big triangle. ...”
June 4, 2019
GMATGuruNY posted a reply to The number line shown contains three points R, S, and T, in the Problem Solving forum
“Let R=-3, S=3 and T=6, implying that r=|-3|=3, s=|3|=3, and t=|6|=6. Average of R, S, and T = (-3+3+6)/3 = 2. The correct answer must yield 2 when r=3, s=3 and t=6. Only E works: (s + t - r)/3 = (3+6-3)/3 = 6/3 = 2 The correct answer is E.”
June 4, 2019
Max@Math Revolution posted a new topic called 1 + 2 + … + k = k(k+1)/2. m and n are positive integers sati in the Problem Solving forum
“[GMAT math practice question] 1 + 2 + … + k = k(k+1)/2. m and n are positive integers satisfying n < m. What is the value of n + (n+1) + … + (m-1) + m? A. (m+n)(m-n-1)/2 B. (m+n)(m-n+1)/2 C. (m-n)(m+n-1)/2 D. (m-n)(m+n+1)/2 E. (m+n)(m-n-1)/4”
June 4, 2019
Max@Math Revolution posted a new topic called If two integers have no common factors other than 1, they ar in the Data Sufficiency forum
“[GMAT math practice question] If two integers have no common factors other than 1, they are called relatively prime. Are x and z relatively prime? 1) x and y are relatively prime. 2) y and z are relatively prime.”
June 4, 2019
Jay@ManhattanReview posted a reply to If a total of 30 puppies is displayed in the two windows of in the Data Sufficiency forum
“Since we do not know out of 30, how many puppies are on the left and on the right, we cannot calculate how many of the puppies are female. Insufficient. Let''s see how. Say there are x number of puppies on the left, thus, there are (30 – x) number of puppies on the right. From Statement ...”
June 4, 2019
Jay@ManhattanReview posted a reply to Is x > 0.05? in the Data Sufficiency forum
“Let''s take each statement one by one. (1) x > 3/40. => x > 0.075. Since x > 0.075, it is greater than 0.05. Sufficient. (2) x is greater than 3 percent of 50. => x > 3% of 50 x > 3*50/100 x > 1.5. Since x > 1.5, it is greater than 0.05. Sufficient. The ...”
June 4, 2019
Jay@ManhattanReview posted a reply to The number line shown contains three points R, S, and T, in the Problem Solving forum
“Pl. add the image. It is missing. _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | ACT Tutoring San Francisco | IELTS Prep Courses Austin | Seattle IELTS Tutoring | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.”
June 4, 2019
GMATGuruNY posted a reply to The principal feature of the redesigned checks is a series o in the Sentence Correction forum
“In the OA, the list of instructions includes THREE TYPES OF REMINDERS: a reminder TO WATCH a reminder TO COMPARE a reminder TO VIEW In option 2, the list of instructions seems to include the following three nouns: REMINDERS COMPARING VIEWING Thus, the intended meaning is not conveyed in ...”
June 3, 2019
GMATGuruNY posted a reply to Two pieces of fruit are selected out of a group of 8 pieces in the Data Sufficiency forum
“What is the value of P(BB)? Statement 1: From 8 pieces of fruit, the probability of picking an apple = A/8. After 1 of the A apples has been picked, the number of remaining apples = A-1. From the 7 remaining pieces of fruit, the probability of picking one of the A-1 remaining apples = ...”
June 3, 2019
Brent@GMATPrepNow posted a reply to Which of the following sets contains only factors of 45? in the Problem Solving forum
“Scan the answer choices....(C and D)..... 13 is NOT a factor of 45. ELIMINATE C By the process of elimination, the correct answer is D Cheers, Brent Scan the two remaining answer choices.... 7 is NOT a factor of 45. ELIMINATE A, B and E”
June 3, 2019
Brent@GMATPrepNow posted a reply to A company has two types of machines, type R and type S. in the Problem Solving forum
“Here''s another approach . . . When it comes to questions where we must complete an entire job, I often (not always) like to know what can be accomplished in 1 unit of time (in this case, 1 hour). Machine R can complete 1/36 of the job in 1 hour. Machine S can complete 1/18 of the job in 1 ...”
June 3, 2019
Brent@GMATPrepNow posted a reply to A company has two types of machines, type R and type S. in the Problem Solving forum
“One approach is to assign a "nice" value to the job. Say, the job is to make 36 widgets. R does a certain job in 36 hours This means that machine R''s rate is 1 widget/hour S does the job in 18 hours This means that machine S''s rate is 2 widgets/hour So, their combined rate ...”
June 3, 2019
Ian Stewart posted a reply to Last year Isabella took 7 math tests and received 7 differen in the GMAT Math forum
“Notice a few things here: - If her average after n tests is always an integer, then after n tests, the sum of her scores will always be divisible by n. - So after six tests, the sum of her score is a multiple of 6. Let''s call that sum, after six tests, "S" - If her scores are between ...”
June 3, 2019
Ian Stewart posted a reply to GMAC Official Practice Test #5 in the GMAT Math forum
“You should never assume that a sequence has any particular ''structure'' unless the question explicitly tells you it does. A sequence is just a list of numbers in order, and can have any structure at all. We can''t assume we have, say, consecutive integers here. We want to know what n is, or in ...”
June 3, 2019
Ian Stewart posted a reply to Help with a problem about transformations in the GMAT Math forum
“This is definitely not a GMAT question (so if you have future questions, direct them to a more relevant forum), but in general, geometric transformations cannot always be done in any order, so you should perform them in the order in which they''re listed: D then T.”
June 3, 2019
Ian Stewart posted a reply to Practice Quant problem in the GMAT Math forum
“2^a / 2^b is equal to 2^(a-b). So 2^(x+y)^2 / 2^(x-y)^2 is equal to 2^[ (x+y)^2 - (x-y)^2 ] We could expand both (x+y)^2 and (x-y)^2 and subtract, but it''s faster just to use the difference of squares factorization immediately, since we''re subtracting one square from another in the exponent. ...”
June 3, 2019
deloitte247 posted a reply to It is posited by some scientists that the near extinction of in the Critical Reasoning forum
“OPTION A - INCORRECT This argument doesn''t weaken the argument because the argument isn''t a concern with other species but that of the Gray Bat. OPTION B - INCORRECT This doesn''t most seriously weaken the argument because the argument is not a concern with what led to the logging ...”
June 3, 2019
deloitte247 posted a reply to Demand levels for some categories of products are closely in in the Critical Reasoning forum
“OPTION A - CORRECT Due to the fact that a CD player is used to play CD''s, it is logical and appropriate to cite the CD player and CD as an example for the relationship between product demand as mentioned in the argument. OPTION B - INCORRECT The product butter and margarine are quite alike, ...”
June 3, 2019
Jay@ManhattanReview posted a reply to Pat has a pocket full of quarters, dimes, and nickels. He in the Problem Solving forum
“Say the number of quarters, dimes, and nickels Pat has are x, y and z, respectively. It is known that x, y and z are positive integers. Since the question ask for the number of nickles, Pat must have either quarters, and nickels or dimes, and nickels Case 1: Say Pat has 6 coins that are ...”
June 3, 2019
Jay@ManhattanReview posted a reply to Each of the 200 students in a class enrolled in at least one in the Problem Solving forum
“Say, the number of participants in Physics = P = 30; the number of participants in Chemistry = C = 150; the number of participants in Mathematics = M = 100; the number of participants in Physics as well as Chemistry = PC; the number of participants in Physics as well as Mathematics = PM; ...”
June 3, 2019
deloitte247 posted a reply to The average fuel efficiency of vehicles sold nationwide in the Critical Reasoning forum
“Option A - Incorrect The period of 2005-2009 was not stated in the question, so, this cannot serve as a conclusion to the argument. Option B - Incorrect Well, this is quite obvious in the argument, ajudging from the claim that the argument gave concerning the price of gasoline between 2000-2004 ...”
June 3, 2019
Jay@ManhattanReview posted a reply to In a sequence of 40 numbers, each term, except for the first in the Problem Solving forum
“Say the first term = a; thus, the 2nd term = a – 7; the 3rd term = a – 7 – 7 = a – 2*7; the 4th term = a – 3*7; Thus, the 40th term = a – 39*7 Since terms are decreasing in value, the smallest term would be the 40th term and the greatest term would be the first term = a = 281. ...”
June 3, 2019
Jay@ManhattanReview posted a reply to Five friends play blackjack in Las Vegas and lose an average in the Problem Solving forum
“Given that the average is $100 each, total loss of five friends = 5*100 =$500. It is also given that two friends lost a total of $380; thus, the other three friends together have lost 500 – 380 =$120. Thus, the average loss of the other three friends = 120/3 = $40. The correct answer: ...” June 3, 2019 Brent@GMATPrepNow posted a reply to If k^2 = m^2, which of the following must be true? in the Problem Solving forum “The question asks us what MUST be true. So, if we can find a case where a statement is not true, we can eliminate that answer choice. So, for example, one solution to the equation (k² = m²) is k = 1 and m = 1 Now let''s check the answer choices. A. k = m. Test: 1 = 1. Works. Keep A. B. ...” June 3, 2019 Max@Math Revolution posted a new topic called In the sequence An, A1=1，A2=2, and An+2=An+1+An+An-1+….+A2+A in the Problem Solving forum “1=1，A2=2, and An+2=An+1+An+An-1+….+A2+A1. What is the value of A14 / A12? A. 1/4 B. 1/2 C. 1 D. 2 E. 4” June 3, 2019 Max@Math Revolution posted a new topic called Is pqr is a multiple of 5? in the Data Sufficiency forum “[GMAT math practice question] Is pqr is a multiple of 5? 1) p, q and r are consecutive odd integers. 2) p, q and r are prime numbers.” June 3, 2019 Max@Math Revolution posted a reply to m and n are integers. Which of the following cannot be the v in the Problem Solving forum “=> D is likely to be the answer as it is the only one which is divisible by 3. We test (m^2+1)(n^2+1) for divisibility by 3. Note that every integer m can be written as 3k, 3k+1 or 3k+2 for some integer k. If m = 3k, then m^2 = 9k^2, and m^2 + 1 = 9k^2 + 1 = 3(3k^2) + 1. If m = 3k+1, then ...” June 3, 2019 Max@Math Revolution posted a reply to abcd ≠ 0, a:b:c = 2:3:4, c:d = 5:6, and a + b + c – d = in the Problem Solving forum “=> We combine the ratios to form a single ratio for a:b:c:d as follows: a : b : c = 2 : 3 : 4 c : d = 5 : 6 Multiplying both equations by 5 yields a : b : c = 10 : 15 : 20 c : d = 20 : 24 and combining them to form a single ratio gives a : b : c : d = 10 : 15 : 20 : 24 ...” June 3, 2019 Max@Math Revolution posted a reply to x, y and y are positive numbers satisfying x < y < z. in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” June 3, 2019 Max@Math Revolution posted a reply to a, b and c are numbers such that abc ≠ 0 and a/b = b/c=c/d in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” June 3, 2019 Scott@TargetTestPrep posted a reply to A movie buff owns movies on DVD and on Blu-ray... in the Problem Solving forum “We can let the original number of DVD and Blu-ray she owns be 7x and 2x, respectively. Thus we can create the equation: 7x/(2x + 6) = 11/4 4(7x) = 11(2x + 6) 28x = 22x + 66 6x = 66 x = 11 She originally had 7x + 2x = 9x movies; therefore, she owned 9(11) = 99movies. Answer: D” June 3, 2019 Scott@TargetTestPrep posted a reply to Louie takes out a three-month loan of$1000... in the Problem Solving forum
“We can let p be his monthly payment. At the end of the first month, the loan will accrue 0.1(1000) = 100 dollars of interest, and the total amount is $1100. Since he will pay p dollars to that amount, he has 1100 - p dollars left to pay. At the end of the second month, the loan will accrue ...” June 3, 2019 Scott@TargetTestPrep posted a reply to When a dentist surveyed her 250 patients, 82% reported that in the Problem Solving forum “We can create the equation: Total = #brushed + #flossed - #both + #neither Keeping everything in percents, we have: 100 = 82 + 64 - 52 + n 100 = 94 + n 6 = n So 6% or 0.06 x 250 = 15 of the patients neither brushed nor flossed. Answer: A” June 3, 2019 Scott@TargetTestPrep posted a reply to Seven basketball teams play in a league against each other in the Problem Solving forum “Since the order matters, the number of ways to choose 3 teams from 7 and arrange them is: 7P3 = 7!/(7-3)! = 7 x 6 x 5 = 210 Answer: C” June 3, 2019 Scott@TargetTestPrep posted a reply to Tap A can fill a tank in 10hrs,Tap B can fill it in 20hrs in the Problem Solving forum “We can see that if taps A, B and C each work 1 hour consecutively in that order, then 1/10 + 1/20 - 1/30 = 6/60 + 3/60 - 2/60 = 7/60 of the tank would be filled. Since the tank is already 1/4 full, then the taps need to fill the remaining 3/4 of the tank. Since (3/4)/(7/60) = 3/4 x 60/7 = 45/7, it ...” June 3, 2019 Scott@TargetTestPrep posted a reply to Of the 300 employees of a certain company, 65 are... in the Problem Solving forum “The probability that two randomly selected employees will not be an accountant is 235/300 x 234/299. We can round this to: 235/300 x 235/300 = 47/60 x 47/60 ≈ 45/60 x 50/60 = 3/4 x 5/6 = 5/8 ≈ 0.6 Answer: D” June 3, 2019 Scott@TargetTestPrep posted a reply to In country Z, 10% of the people do not have a university... in the Problem Solving forum “Let’s let the total number of people be 100. Since 10% of the people do not have a university diploma but have a job of their choice, 10 people do not have a university diploma but do have a job of their choice. Since 40% of the people, or 40 people, have a job of their choice, 60 people do ...” June 3, 2019 Scott@TargetTestPrep posted a reply to Wu rolls two fair, six-sided dice. What is the probability in the Problem Solving forum “We can can break this up into scenarios: Scenario 1: P(5 on the first die and 1,2,3, or 4 on the second die) 1/6 x 4/6 = 4/36 = 1/9 Scenario 2: P(1,2,3, or 4 on the first die and 5 on the second die) 4/6 x 1/6 = 4/36 = 1/9 Scenario 3: P(5 on both dice) 1/6 x 1/6 = 1/36 ...” June 3, 2019 Scott@TargetTestPrep posted a reply to half that of Chelsea in the Problem Solving forum “Let’s let a, b, and c represent the current ages of Amy, Beth, and Chelsea, respectively. We can create the equations: b - 5 = 3(a - 5) b - 5 = 3a - 15 b = 3a - 10 and b - 10 = (1/2)(c - 10) 2b - 20 = c - 10 2b - 10 = c Substituting, we have: 2(3a - 10) - 10 = c 6a - ...” June 3, 2019 Scott@TargetTestPrep posted a reply to set24-Q.4--B&W,Colour TV in the Problem Solving forum “We can use the formula: P(at least one black and white TV) = 1 - P(No black and white TV) P(No black and white TV) = 6/8 x 5/7 = 3/4 x 5/7 = 15/28 P(at least one black and white TV) = 1 - 15/28 = 13/28” June 3, 2019 Brent@GMATPrepNow posted a reply to A company that ships boxes to a total of 12 distribution in the Problem Solving forum “We need to be able to create AT LEAST 12 codes (to represent the 12 countries). Let''s test the options. Can we get 12 or more color codes with 4 colors? Let''s see . . . 1-color codes = 4 (since there are 4 colors) 2-color codes = We need to choose 2 colors from 4. This can be ...” June 2, 2019 Ian Stewart posted a reply to Rectangle $$ABCD$$ is inscribed in circle $$P$$. What is the in the Data Sufficiency forum “That''s a very confusing diagram, because the letter ''P'', which the stem suggests is the name of the circle, appears to be used in the diagram to label the center of the circle. The same letter cannot be used for both of those things, and if I read the question alone before reading the first half ...” June 2, 2019 Ian Stewart posted a reply to What is the positive integer n? in the Data Sufficiency forum “Numbers that satisfy Statement 1 are known as "perfect numbers" in math. You certainly don''t need to know anything about "perfect numbers" for the GMAT, but I''d imagine if you weren''t familiar with them, this question could be time consuming, since using both Statements, there ...” June 2, 2019 Ian Stewart posted a reply to If j and k are positive integers, is 6 a factor of j? in the Data Sufficiency forum “Using both Statements, 6 clearly could be a factor of j, but it might be true that j = 2 and k = 3, say, or j = 3 and k =2, and that 6 is not a factor of j. So the answer is E.” June 2, 2019 deloitte247 posted a reply to In film and television, it’s possible to induce viewers to in the Critical Reasoning forum “OPTION A - INCORRECT Well, there is no indication that the television news team abused their position of trust in the past. So, this isn''t best supported by the information given. OPTION B - INCORRECT This wasn''t the description used to describe the woman''s face in the argument, and there ...” June 2, 2019 ceilidh.erickson posted a reply to A company that ships boxes to a total of 12 distribution in the Problem Solving forum “On problems like this, the easiest solution is just to use the answer choices and count the possibilities. Imagine these options for colors: R = red O = orange Y = yellow G = green B = blue P = purple (we''ll add more if we need them) For each answer choice, count the options for a single ...” June 2, 2019 ceilidh.erickson posted a reply to If $$a, b$$, and $$c$$ are integers, what is the value of in the Data Sufficiency forum “Ian has an excellent point here! The question doesn''t specify non-negative. I think this shows how we all really synthesize before we extrapolate - after reading statement 1, when I read statement 2 I immediately thought "well a=5, but I don''t know that from this one alone" and didn''t ...” June 2, 2019 Ian Stewart posted a reply to If $$a, b$$, and $$c$$ are integers, what is the value of in the Data Sufficiency forum “Just because this is so important in so many questions: if ac = 5, and a and c are integers, there are four possibilities, not two: a and c can be 5 and 1, in either order, or they can be -5 and -1, in either order. Of course, when we combine the two statements, we can discard the negative ...” June 1, 2019 ceilidh.erickson posted a reply to Mike has twice as many stamps as Jean has. After he gives in the Problem Solving forum “This type of 2-variable word problem is know as an EXCHANGE problem, and it can be tricky. For more on exchange problems and translating other tricky word problems, here is a video lesson: https://www.youtube.com/watch?v=5Kg6mjNhLM8&list=PLYZACiD6j3VsFlDR68gbF9CK9gZedcPbY&index=11&t=0s ...” June 1, 2019 ceilidh.erickson posted a reply to Mike has twice as many stamps as Jean has. After he gives in the Problem Solving forum “We can easily translate this algebraically. Let M = Mike''s original # of stamps, and J - Jean''s original # of stamps. Mike has twice as many stamps as Jean has --> $$M=2J$$ After he gives Jean 6 stamps, he still has 8 more stamps than Jean does --> $$M-6=(J+6)+8$$ *NB: remember that ...” June 1, 2019 ceilidh.erickson posted a reply to If $$a, b$$, and $$c$$ are integers, what is the value of in the Data Sufficiency forum “If $$a, b$$, and $$c$$ are integers, what is the value of $$a$$? We''re given no information in the question stem except that these variables are integers. So, we have to dive into the statements: (1) $$2^a+2^b=33$$ Think of combinations of powers of 2 that would add to 33. Since 33 is odd, ...” June 1, 2019 ceilidh.erickson posted a reply to GMAT Official Practice Tes #6 in the GMAT Math forum “Since we''re asked what the value is *closest* to, Marty is right - we don''t have to do complicated math, we can just estimate with the larger numbers. But, for a lot of exponent questions with addition or subtraction, we can''t simply add or subtract the bases, but we can FACTOR: ...” June 1, 2019 ceilidh.erickson posted a reply to A fair coin has 2 distinct flat sides—one of which bears t in the GMAT Integrated Reasoning forum “If one coin flip has a 1/2 chance of landing face up, then the probability that two coin flips will both be face up is $$\frac{1}{2}\cdot\frac{1}{2}=\frac{1}{4}$$ Thus, for any M coin flips, the probability of all flips landing face up is $$p=\frac{1}{2^M}$$ , and for any N coin flips, the ...” June 1, 2019 ceilidh.erickson posted a reply to Need help regarding how to handle SC and RC questions in the GMAT Verbal & Essays forum “GMAT verbal can be very difficult if English isn''t your native language, so I commend you for putting the work in. The good news is that there are recognizable patterns that the GMAT uses again and again, especially in SC. Here''s some advice on how to be more ''mathematical'' about verbal: ...” June 1, 2019 Ian Stewart posted a reply to In the finite sequence of positive integers $$k_1, k_2,$$ in the Data Sufficiency forum “Since we add two consecutive terms to find the next term, once we know two consecutive terms, it is easy to work out every subsequent term in the sequence (and every earlier term, though we don''t need to do that here). Using Statement 1, we know the 4th and 5th terms are 11 and 18, so the next is ...” June 1, 2019 Ian Stewart posted a reply to Is the slope of Line 1 positive? in the Data Sufficiency forum “Each Statement is clearly insufficient alone. Using both, if line two has a slope of 1, then line two would form a 45 degree angle where it meets any horizontal line. If lines one and two meet at a 40 degree angle, then line one either creates a 5 degree or an 85 degree angle with any horizontal ...” June 1, 2019 Ian Stewart posted a reply to Of all houses on Kermit Lane, 20 have front porches, 20 have in the Data Sufficiency forum “If every house has a back yard, and, as Statement 1 tells us, 40 houses have a back yard, there are 40 houses in total, so Statement 1 is sufficient. From Statement 2, if a house has a front porch, it does not have a front yard. So if a house has a front yard, it cannot have a front porch. So we ...” June 1, 2019 Ian Stewart posted a reply to Robin drove from Townville to Villageton. Upon arriving in in the Data Sufficiency forum “The distance each way is the same. If we call it ''d'', then since time = distance/speed, Robin''s time for the first part of the trip was d/40 and for the return trip was d/60. So her total time was d/40 + d/60 = 5d/120 = d/24. Her total distance was 2d, so her average speed was (total ...” June 1, 2019 Scott@TargetTestPrep posted a reply to If a=2b=6c for positive integers a, b, and c, which of the f in the Problem Solving forum “Let’s express a and b in terms of c. We see that a = 6c and since 2b = 6c, we see that b = 3c. The product abc can thus be re-expressed as (6c)*(3c)*(c) = 18c^3. Thus, the product abc must be a multiple of 2 and 9. We can immediately rule out choice D, as it is odd. Of the remaining ...” June 1, 2019 Scott@TargetTestPrep posted a reply to m and n are positive numbers. (2^m)^n = 512. What is the min in the Problem Solving forum “We can rewrite the equation: (2^m)^n = 512 2^(mn) = 2^9 mn = 9 To minimize m+n, find the values of m and n such that they are as close to each other as possible. Thus, we see that m = 3 and n = 3, and so their sum m + n = 6. Answer: D” June 1, 2019 Scott@TargetTestPrep posted a reply to A real estate investment firm began the year with 80% of its in the Problem Solving forum “We are given that a real estate investment firm began the year with 80% of its investments in commercial real estate and 20% in residential real estate. If we let the total investments = 1000, then 0.8 x 1000 = 800 = commercial real estate and 0.2 x 1000 = 200 = residential real estate. We are ...” June 1, 2019 Scott@TargetTestPrep posted a reply to A computer programmer needs to print 148 documents. The in the Problem Solving forum “It will take (148 x 10) x 15 = 1480 x 15 seconds to complete printing all the documents. We convert seconds to hours (3600 seconds in one hour), obtaining: (1480 x 15)/3600 = (148 x 15)/360 = 148/24 ≈ 6 hours Answer: D” June 1, 2019 Scott@TargetTestPrep posted a reply to Two trees have a combined height of 60 feet, and the taller in the Problem Solving forum “We can create the equation in which s = the height of the shorter tree, and xs = the height of the taller tree. s + xs = 60 s(1 + x) = 60 s = 60/(1 + x) Answer: A” June 1, 2019 Scott@TargetTestPrep posted a reply to In the figure above, $$AB$$ is perpendicular to $$BC$$ and in the Problem Solving forum “Let’s take AB = BC = 1. Then, by the Pythagorean theorem, AC = √(1^2 + 1^2) = √2. Using the area formula, first with AB as height and BC as base and then with BD as height and AC as base; we get that (AB)(BC) = (BD)(AC); therefore BD = 1/√2. Let’s substitute AB = BC = 1 and BD = 1/√2 ...” June 1, 2019 deloitte247 posted a reply to Health care advocate: The advantages of eating fish are many in the Critical Reasoning forum “Option A :- Incorrect The first presentation is not about the sales of fish rich in Omega-3 fatty acid. Hence, it is impossible to conclude the increase in sale over the years. Option B :- Incorrect The effect of excessive consumption of Omega - 3 Fatty- acid may be a form discouragement when ...” June 1, 2019 Brent@GMATPrepNow posted a reply to What is the total cost to make 7 long distance telephone in the Data Sufficiency forum “When we SCAN the statements, we see the key phrase: at least This allows us to jump straight to... Statements 1 and 2 combined There are infinitely many scenarios that satisfy BOTH statements. Here are two: Case a: Each call was 2 minutes long, for a total of 14 minutes. At$0.32 per ...”
June 1, 2019
deloitte247 posted a reply to In september of last year, the number of people attending mo in the Critical Reasoning forum
“Option A :- Incorrect The statement presented in the question has not mentioned anything relating to the age of people attending. Hence, it is coherent. Option B :- Incorrect There was no financial calculation among the factors considered, therefore, this opinion does not access the ...”
June 1, 2019
deloitte247 posted a reply to According to recent study data, greenhouse gas emissions fro in the Critical Reasoning forum
“Option A :- Incorrect This option carries a general conception. Any decision to be made by the body in charge of the provision of financial incentives, the decision which is must be justified by the law. This option does not pose any threat to the plan. Option B :- Incorrect This summation does ...”
June 1, 2019
deloitte247 posted a reply to Exit polls, conducted by an independent organization among v in the Critical Reasoning forum
“Option A :- Incorrect This option does not give any positive explanations to the case, why? The random choice of Exit poll happened to be in favour of the Democrats then, the suggestive prediction would have been an exact opposite of what is obtained. Option B :- correct It is evident that the ...”
June 1, 2019
GMATGuruNY posted a reply to The vertices of a rectangle in the standard (x,y) coordinate in the Problem Solving forum
“To partition the rectangle into equal areas, the line must pass through the CENTER of the rectangle. To determine the x-coordinate of the center, take the average of the x-coordinates that form the base: (0+7)/2 = 3.5. To determine the y-coordinate of the center, take the average of the ...”
June 1, 2019
GMATGuruNY posted a reply to 10 factories, working for h hours per day, can produce P in the Problem Solving forum
“When the factories work for h hours per day, P cars are produced every 5 days, with the result that 2P cars are produced every 10 days. If the daily work-hours are CUT IN HALF -- to h/2 hours per day -- the number of days required for 2P cars will DOUBLE to 20. Since the time for 2P cars increases ...”
June 1, 2019
deloitte247 posted a reply to College Board members strongly claimed that college athletes in the Critical Reasoning forum
“Option A :- Incorrect This opinion stands to support the argument in Question, from the question, the statement is evident that an athlete is worth so much to the college to deserving all the benefits from the college. This opinion empowers the argument. Option B :- correct The information ...”
June 1, 2019
deloitte247 posted a reply to Employee productivity can, on average, be directly linked to in the Critical Reasoning forum
“Option A :- Incorrect Some participants were placed under study based on some factors responsible for workplace productivity. Participants under study performed as expected while some others underperformed, therefore the statement does not strengthen the argument. Option B :- correct This is ...”
June 1, 2019
deloitte247 posted a reply to ToppKleen, a new cleaning material, will soon be released on in the Critical Reasoning forum
“Option A :- Incorrect Whether or not celebrities are used in promoting sales is not the bone of contention here, the special cleaning characteristics of the product is the selling point as identified by the sellers. Option B :- Incorrect The explanation presented has got nothing to do with ...”
June 1, 2019
deloitte247 posted a reply to A recent study suggests that regular exercise improves the in the Critical Reasoning forum
“Option A :- Incorrect If there is a possibility for this, it would have been reflective in the result over the past 5 years period. Option B :- correct This is true because, over the past 5 years, there has been a reduction in the percentage of the population under the age of 60 years that ...”
June 1, 2019
deloitte247 posted a reply to Critics of certain pollution-control regulations have claime in the Critical Reasoning forum
“Option A:- Incorrect The first boldface portion reflected the opinion of the critics about the situations under considerations under consideration and reasoning does not consider it as false while for the second boldface, it buttress the first boldface opinion. Option B:- Incorrect The first ...”
May 31, 2019
GMATGuruNY posted a reply to Being a United States citizen since 1988 and born in Calcutt in the Sentence Correction forum
“One purpose of the present perfect -- has/have + VERBed -- is to express a past action that affects the present. OA: Bharati Mukherjee...has lived in England and Canada. Conveyed meaning: At some time in the past, Bharati Mukherjet lived in England and Canada, and this past action somehow ...”
May 31, 2019
Ian Stewart posted a reply to Peter went to the store to buy paint. Small cans cost $30 in the Data Sufficiency forum “Using Statement 1 alone, he can''t have bought zero large cans, because 220 is not divisible by 30. He can''t have bought one large can, because 140 is not divisible by 30. And he can''t have bought 3+ large cans, because then he would have spent more than$220. So he must have bought two large ...”
May 31, 2019
Ian Stewart posted a reply to A list contains twenty integers, not necessarily distinct. in the Data Sufficiency forum
“Using Statement 1 alone, we might have some scattered list of 20 distinct integers, say 10, 20, 30, 40, ...., 200. If we add one to any individual value in this list, we still have 20 distinct integers. So we can have a list with no consecutive integers. But our list could also be: 2, 2, 2, 2, ...”
May 31, 2019
Ian Stewart posted a reply to Rose grows two kinds of orchid plants, Phalaenopsises and in the Data Sufficiency forum
“Statement 1 only guarantees we have at least 14 of the P flowers, and Statement 2 only guarantees we have an even number of the G flowers (since we must be able to multiply that number by 1.5 = 3/2 and get a whole number answer). But there remain many possible numbers of P flowers using either ...”
May 31, 2019
Ian Stewart posted a reply to If N different positive integers are added and the sum is in the Data Sufficiency forum
“In the notation used in the question, S/N = sum/number of terms = the average of the list. So the question is just asking "is the average of the N numbers an integer?" Statement 1 tells us we have an odd number of integers, which is not sufficient, since we could have the list 1, 2, 3, ...”
May 31, 2019
Brent@GMATPrepNow posted a reply to Of the 60 animals on a certain farm, $$\frac{2}{3}$$ are in the Data Sufficiency forum
“Target question: How many of the animals are cows? Given: Of the 60 animals in a certain farm, 2/3 are either pigs or cows Let P = # of pigs Let C = # of cows 2/3 of 60 = 40, so we can say that P + C = 40 Statement 1: The farm has MORE THAN twice as many cows as it has pigs. In other ...”
May 31, 2019
Max@Math Revolution posted a new topic called m and n are integers. Which of the following cannot be the v in the Problem Solving forum
“[GMAT math practice question] m and n are integers. Which of the following cannot be the value of (m^2+1)(n^2+1)? A. 10 B. 20 C. 50 D. 60 E. 100”
May 31, 2019
Max@Math Revolution posted a reply to m and n are positive numbers. (2^m)^n = 512. What is the min in the Problem Solving forum
“=> (2^m)^n = 2^{mn} = 512 = 2^9. Thus mn = 9. Recall that if mn is a fixed constant, and m and n are positive numbers, then m + n has its minimum value when m = n. Thus, we must have m = n = 3 to obtain the minimum value of m + n = 3 + 3 = 6. Therefore, the answer is D. Answer: D”
May 31, 2019
Max@Math Revolution posted a new topic called x, y and y are positive numbers satisfying x < y < z. Is x < in the Data Sufficiency forum
“[GMAT math practice question] x, y and y are positive numbers satisfying x < y < z. Is x < 5? 1) x^2 + y^2 + z^2 = 125 2) y^2 = 25”
May 31, 2019
Max@Math Revolution posted a reply to x = -1. What is the value of x + x^n + x^{n+1} + x^{n+2}? in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
May 31, 2019
Ian Stewart posted a reply to A certain diet program calls for eating daily calories from in the Data Sufficiency forum
“It''s a potentially confusing question, because the 40:30:30 ratio in the stem is the ratio of the "daily calories" from each source, while the numbers in Statement 1 are measured in grams, not in calories. So at first glance, looking at Statement 1, it might seem Bill followed the diet ...”
May 30, 2019
Ian Stewart posted a reply to If n is a positive integer and r is the remainder when 4 + 7 in the Data Sufficiency forum
“If, from Statement 1, n+1 is divisible by 3, then for some integer q, we know n+1 = 3q, and n = 3q - 1. Substituting "3q-1" for "n" in the expression 4 + 7n, we have 4 + 7n = 4 + 7(3q - 1) = 4 + 21q - 7 = 21q - 3 = 3(7q - 1) and since we can factor out a 3, this ...”
May 30, 2019
Ian Stewart posted a reply to A certain packing box contains books between 50 to 60. How in the Data Sufficiency forum
“There are at least three grammatical errors in the stem itself, so this might be a good SC question. I assume the question is saying we have between 50 and 60 books. Statement 1 says when we divide that number by 3, the remainder is 1. So we could have 52, 55 or 58 books (any number between 50 and ...”
May 30, 2019
GMATGuruNY posted a reply to If xy≠0, and 60% of x equals 87.5% of y, what is the value in the Problem Solving forum
“60x = 87.5y 120x = 175y 120(x/y) = 175 12(x/y) = 17.5 The correct answer is D.”
May 30, 2019
Max@Math Revolution posted a new topic called abcd ≠ 0, a:b:c = 2:3:4, c:d = 5:6, and a + b + c – d = 42. in the Problem Solving forum
“[GMAT math practice question] abcd ≠ 0, a:b:c = 2:3:4, c:d = 5:6, and a + b + c – d = 42. What is the value of d? A. 6 B. 12 C. 24 D. 36 E. 48”
May 30, 2019
Max@Math Revolution posted a reply to x + 2y + 3z = 4 and 5x + 4y + 3z = 8. What is the value of x in the Problem Solving forum
“=> When we add the two equations, we obtain (x+2y+3z) + (5x+4y+3z) = 6(x+y+z) = 4 + 8 = 12. Dividing both sides of this equation by 6 yields x+y+z = 2. Therefore, the answer is B. Answer: B”
May 30, 2019
Max@Math Revolution posted a new topic called a, b and c are numbers such that abc ≠ 0 and a/b = b/c=c/d. in the Data Sufficiency forum
“[GMAT math practice question] a, b and c are numbers such that abc ≠ 0 and a/b = b/c=c/d. What is the value of a/d? 1) a = 1 2) b = 2”
May 30, 2019
Max@Math Revolution posted a reply to f(x) = anx^n + an-1x^{n-1} + … + a1x + a0. What is the sum in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...”
May 30, 2019
Scott@TargetTestPrep posted a reply to The price of a pair of sneakers was $80 for the last six in the Problem Solving forum “The employee paid 80 x 1.2 x 0.9 = 96 x 0.9 =$86.40 Answer: D”
May 30, 2019
Scott@TargetTestPrep posted a reply to Eight friends go to watch a movie but only 5 tickets were in the Problem Solving forum
“The number of ways 5 people can sit (order matters) and watch the movie is 8P5 = 8 x 7 x 6 x 5 x 4. Answer: B”
May 30, 2019
Scott@TargetTestPrep posted a reply to In a certain alphabet, 12 letters contain a dot and a in the Problem Solving forum
“We can use the equation: Total = Dot only + Line only + Both + Neither 40 = D + 24 + 12 + 0 40 = D + 36 4 = D Answer: A”
May 30, 2019
Scott@TargetTestPrep posted a reply to Al and Ben are drivers for SD Trucking Company. One snowy da in the Problem Solving forum
“Let t represent the time passed between the departure of Al (11:00 a.m.) and the retrieval of data by the dispatcher. Since Ben left at 8 a.m., his time is (t + 3). Since they both traveled for a total 240 miles, we can use the formula distance = rate x time and create the following equation: ...”
May 30, 2019
Scott@TargetTestPrep posted a reply to In 2015, Ashley invited 12% more people to her annual in the Problem Solving forum
“We can let n = the number of people Ashley invited in 2014. So we have: 2015 = 1.12n 2016 = 1.12n x 1.1 2017 = 1.12n x 1.1 x 1.1 So the percent increase is: ((1.12n x 1.1 x 1.1) - n)/n x 100 (1.12 x 1.1 x 1.1 - 1) x 100 ≈ 0.35 x 100 = 35% Alternate Solution: Let’s assume ...”
May 30, 2019
Scott@TargetTestPrep posted a reply to In 2015, Ashley invited 12% more people to her annual in the Problem Solving forum
“We can let n = the number of people Ashley invited in 2014. So we have: 2015 = 1.12n 2016 = 1.12n x 1.1 2017 = 1.12n x 1.1 x 1.1 So the percent increase is: ((1.12n x 1.1 x 1.1) - n)/n x 100 (1.12 x 1.1 x 1.1 - 1) x 100 ≈ 0.35 x 100 = 35% Alternate Solution: Let’s assume ...”
May 30, 2019
Scott@TargetTestPrep posted a reply to Gordon buys 5 dolls for his 5 nieces. The gifts include two in the Problem Solving forum
“Since the youngest niece doesn''t want the G doll, she has 4 choices of the dolls. The other 4 nieces will then have 4, 3, 2 and 1 choices for the remaining dolls. Therefore, the “number” of ways to distribute the dolls is: 4 x 4 x 3 x 2 x 1 = 16 x 6 = 96 However, since 2 identical S beach ...”
May 30, 2019
Scott@TargetTestPrep posted a reply to Coach Miller is filling out the starting lineup for his in the Problem Solving forum
“Since only 2 boys can play goalkeeper, the number of ways to choose a goalkeeper is 2C1 = 2. Since all the other boys can each play any of the other positions, the number of ways to choose 2 defense players is 8C2 = (8 x 7)/2 = 28. After the 2 defense players are chosen, the number of ways to choose ...”
May 30, 2019
Scott@TargetTestPrep posted a reply to From a group of 5 managers (Joo, Kendra, Lee, Marnie, and in the Problem Solving forum
“There are a total of 5C2 = 5!/(3! x 2!) = (5 x 4)/2 = 10 ways of choosing two people from a group of five people. Since the selection of Marnie and Noomi corresponds to one of these choices, the probability of this selection is 1/10 = 0.1. Answer: A”
May 30, 2019
Scott@TargetTestPrep posted a reply to A certain fruit stand sold apples for $0.70 each and bananas in the Problem Solving forum “We are given that apples were sold for$0.70 each and that bananas were sold for $0.50 each. We can set up variables for the number of apples sold and the number of bananas sold. b = number of bananas sold a = number of apples sold With these variables, it follows that: 0.7a + 0.5b = ...” May 30, 2019 Scott@TargetTestPrep posted a reply to Two different primes may be said to"rhyme" around in the Problem Solving forum “Since a pair of distinct numbers equidistant from an integer must have the same parity (i.e., both odd or both even). Therefore, we don’t need to check if the pair are even numbers. We also don’t need to check if 1 is one of the two numbers of the pair since 1 is not a prime. With these facts in ...” May 30, 2019 GMATGuruNY posted a reply to Last year, the price of a jar of peanut butter at a certain in the Problem Solving forum “The price of a jar of peanut butter at a certain store was P dollars and the price of a jar of jelly at the same store was J dollars, where J=2P. Let P = 10 and J = 20 This year, the price of peanut butter increased by 20% and the price of jelly decreased by 20% New P = 10 + (20% of 10) = 10 + ...” May 29, 2019 GMATGuruNY posted a reply to In the figure above, $$AB$$ is perpendicular to $$BC$$ and in the Problem Solving forum “Let ∆ABD and ∆CBD each be a 45-45-90 triangle with sides 1, 1 and √2: https://i.postimg.cc/JGVTHJg1/two-45-45-90-triangles.png For the figure above, only option B is true: 1/BD² = 1/BC² + 1/AB² 1/1² = 1/√2² + 1/√2² 1 = 1/2 + 1/2 1 = 1 The correct answer is B.” May 29, 2019 GMATGuruNY posted a reply to GMAT prep question-Confusing one ! in the Sentence Correction forum “To refer to a noun that takes a SINGULAR verb, we use amount. To refer to a noun that takes a PLURAL verb, we use number. A and C: in terms of flights, an equal amount Here, amount cannot serve to refer to flights (a noun that takes a plural verb). Eliminate A and C. E: an equal number as ...” May 29, 2019 Brent@GMATPrepNow posted a reply to A computer programmer needs to print 148 documents. The in the Problem Solving forum “We can also answer this question using a step-by-step approach based on number sense. IMPORTANT: The word approximately typically suggests that we can be somewhat aggressive with our estimation There are 148 documents and the documents have an average length of 10 pages So, the TOTAL number ...” May 29, 2019 deloitte247 posted a reply to Challenge question: Is positive integer p even? in the Data Sufficiency forum “4p has twice as many positive divisors as p If p = 6 , then 4p = 4 * 6 = 24 6 has 4 factors and 24 has $$2^3\cdot3^1$$ 4 * 2 = 8 factors If p = 2 then p has 2 divisors 4p = 4*2 = 8 which has four divisors Therefore ; 4p has twice as many divisors as p. Hence, integer p is even , Statement ...” May 29, 2019 deloitte247 posted a reply to If m and n are positive integers, is m/n a terminating decim in the Data Sufficiency forum “A terminating decimal has a finite decimal. Statement 1 m is divisible by 9 means that m is a multiple of 9 but values of n is not known, hence statement 1 is INSUFFICIENT. Statement 2 n is divisible by 30 but the value of n is not known, hence statement 2 is INSUFFICIENT. Combining ...” May 29, 2019 deloitte247 posted a reply to If a=2b=6c for positive integers a, b, and c, which of the f in the Problem Solving forum “a = 2b = 6c definitely, a = 6c 2b = 6c Hence $$b=\frac{6c}{2}=3c$$ The value of abc = a*b*c = (6c)*(3c)*(c) $$=18c^3$$ Therefore, The product of abc must if be divisible by 18 without remainder $$\frac{1000}{18}=55.56$$ $$\frac{1230}{18}=68.33$$ $$\frac{2250}{18}=125$$ ...” May 29, 2019 deloitte247 posted a reply to Mr. Smith purchases books from the bargain bin. He buys only in the Data Sufficiency forum “Statement 1 Mr smith spent 24 dollar on bargain books He could have bought (7dollar *3 books) + (2dollar *1book) + (1 dollar *1) book OR (7 dollar *2 books) + (2 dollar *4 books) + (1 dollar * 2 books) = 24 dollar Statement 1 is NOT SUFFICIENT. Statement 2 Mr smith buys a total of 10 ...” May 29, 2019 Max@Math Revolution posted a new topic called m and n are positive numbers. (2^m)^n = 512. What is the min in the Problem Solving forum “[GMAT math practice question] m and n are positive numbers. (2^m)^n = 512. What is the minimum value of m + n? A. 3 B. 4 C. 5 D. 6 E. 8” May 29, 2019 Max@Math Revolution posted a reply to When -1/2 < h < 0, which of the following has the grea in the Problem Solving forum “=> Test each expression by plugging in h = -1/4. h^2-2h+1 = (h-1)^2 = (-(5/4))^2 = 25/16 h^2+h = h(h+1) = -(1/4)(3/4) = -(3/16) h = -1/4 h^2 = (-(1/4))^2 = 1/16 h^3 = (-(1/4))^3 = -(1/64) Therefore, A is the answer. Answer: A” May 29, 2019 Max@Math Revolution posted a new topic called x = -1. What is the value of x + x^n + x^{n+1} + x^{n+2}? in the Data Sufficiency forum “[GMAT math practice question] x = -1. What is the value of x + x^n + x^{n+1} + x^{n+2}? 1) n is a prime number 2) n is an odd number” May 29, 2019 Max@Math Revolution posted a reply to What is the value of xy? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” May 29, 2019 deloitte247 posted a reply to A conveyor belt moves bottles at a constant speed of 120 in the Data Sufficiency forum “Speed = 120 cm/s Is the distance that the conveyor belt move less than 90 meters (9000 cm) D = speed * Time Statement 1 It takes the conveyor belt less than 1.2 min to move to the bottle from the loading dock to the unloading dock. T = 1.2 * 60 =72 sec T<72 sec Therefore D < 120 ...” May 29, 2019 Max@Math Revolution posted a new topic called [Math Revolution] Practice “Math Questions of the Day” in the GMAT Math forum “To help you sharpen your math skills and hit your target score of Q49-51, we are sending you 4 math questions (2 DS, 2 PS) and solutions regularly. These questions are the types of questions appearing in GMAT exam frequently. Please Click the link for solutions. ...” May 29, 2019 Scott@TargetTestPrep posted a reply to Number N is randomly selected from a set of consecutive inte in the Problem Solving forum “The solution to this problem is straightforward if you know your prime numbers. We need to determine the probability that a number, when randomly selected from the set of integers between 50 and 69, inclusive, will have the same number of factors as 89. Since 89 is prime and thus has only two ...” May 29, 2019 Scott@TargetTestPrep posted a reply to Carlos runs a lap around the track in x seconds. His second in the Problem Solving forum “The total number of seconds it takes Carlos to run the 3 laps is x + (x + 5) + (x - 2) = 3x + 3. So the number of seconds per lap is (3x + 3)/3 = x + 1, and hence, the number of minutes per lap is (x + 1)/60. Answer: D” May 29, 2019 Scott@TargetTestPrep posted a reply to In Dewey Elementary School, there are two second-grade in the Problem Solving forum “(35 x 0.4 + 45 x 0.8)/(35 + 45) x 100 = 50/80 x 100 = 62.5 percent Answer: D” May 29, 2019 Scott@TargetTestPrep posted a reply to A jar is filled with red, white, and blue tokens that are in the Problem Solving forum “We can let r, w, and b be the number of red, white, and blue tokens in the jar. Thus we have: r/(r + w + b) x w/(r + w + b) = b/(r + w + b) rw/(r + w + b)^2 = b/(r + w + b) rw/(r + w + b) = b rw = br + bw + b^2 Since r, w, and b are multiples of 3, we can let b = r = 3. So we have: ...” May 29, 2019 Scott@TargetTestPrep posted a reply to A bowl contains equal numbers of red, orange, green, blue, in the Problem Solving forum “Let’s let the initial number of candies of each color be 12 (and thus the total number of candies is 60). So he eats all 12 green candies and 6 orange candies at first. Next he eats 3 orange, 6 red, 6 blue and 6 yellow candies. Thus far, we have 60 - (12 + 6 + 3 + 6 x 3) = 60 - 39 = 21 ...” May 29, 2019 Scott@TargetTestPrep posted a reply to $$a$$ and $$b$$ are integers such that $$\frac{a}{b}=3.45$$. in the Problem Solving forum “We can set up the equation: a/b = 3 + 45/100 a/b = 3 + 9/20 So we see that the remainder of a/b is a multiple of 9, so 3 could not equal R. Answer: A” May 29, 2019 Scott@TargetTestPrep posted a reply to Gita is 12 years older than Harvey. In 4 years, Gita will be in the Problem Solving forum “We can let g = Gita’s age today and h = Harvey’s age today and create the following equation: g = h + 12 and g + 4 = 2(h + 4) g + 4 = 2h + 8 g = 2h + 4 Thus: h + 12 = 2h + 4 8 = h So, Harvey will be 11 in 3 years. Answer: B” May 29, 2019 Scott@TargetTestPrep posted a reply to If there are fewer than 8 zeroes between the decimal point in the Problem Solving forum “If t = 1, then (1/1000)^4 = (1/10^3)^4 = 1/10^12. Therefore, the decimal expansion would have 12 decimal places, with the last (rightmost) digit being a 1. That is, there are 11 zeros between the decimal point and the last digit 1. For any of the given t values, 3, 5 and 9, it will not change the ...” May 29, 2019 Scott@TargetTestPrep posted a reply to Three points are chosen independently an at random on the in the Problem Solving forum “Let the first point chosen be A, second point B and third point C. Point A can be chosen anywhere on the circle, because it doesn''t matter where it is chosen. Since B has to lie within 60 degrees of arc on either side of A, then B has a chance of (60 + 60)/360 = 1/3 of being chosen. Now ...” May 29, 2019 Ian Stewart posted a reply to How many of the 60 balls in the basket are green? in the Data Sufficiency forum “From Statement 1, 1/12 of the 60 balls are green, so 5 balls are green. So Statement 1 is sufficient. Statement 2 only tells us about 12 of the balls, so is not sufficient.” May 28, 2019 Brent@GMATPrepNow posted a reply to x + 2y + 3z = 4 and 5x + 4y + 3z = 8. What is the value of x in the Problem Solving forum “GIVEN: x + 2y + 3z = 4 5x + 4y + 3z = 8 ADD the two equations to get: 6x + 6y + 6z = 12 Factor: 6(x + y + z) = 12 Divide both sides by 6 to get: x + y + z = 2 Answer: B Cheers, Brent” May 28, 2019 Brent@GMATPrepNow posted a reply to Two different primes may be said to"rhyme" around in the Problem Solving forum “If two numbers are rhyming primes, then the integer the rhyme around will be the AVERAGE of the two primes. For example, 3 and 7 rhyme around 5. Notice that the AVERAGE of 3 and 7 is 5. Likewise, 5 and 23 rhyme around 14, and the AVERAGE of 5 and 23 is 14. Now onto the solution... List ...” May 28, 2019 Brent@GMATPrepNow posted a reply to A certain fruit stand sold apples for$0.70 each and bananas in the Problem Solving forum
“Here''s an approach where we test the POSSIBLE SCENARIOS. FACT #1: (total cost of apples) + (total cost of bananas) = 630 CENTS FACT #2: total cost of bananas is DIVISIBLE by 50, since each banana costs 50 cents. Now let''s start testing POSSIBLE scenarios. Customer buys 1 apple. 1 ...”
May 28, 2019
Brent@GMATPrepNow posted a reply to From a group of 5 managers (Joo, Kendra, Lee, Marnie, and in the Problem Solving forum
“Our goal is to find P(M and N both selected) There are two ways to approach this. Method #1: P(M and N both selected) = P(one of them is selected 1st AND the other selected 2nd) = P(one of them is selected 1st) x P(the other selected 2nd) = (2/5)(1/4) = 1/10 = 0.1 Aside: P(one of them ...”
May 28, 2019
GMATGuruNY posted a reply to if x and y are positive , is 4x>3y? in the Data Sufficiency forum
“Since y is POSITIVE, the inequalities can safely be divided by y. 4x > 3y x > (3/4)y x/y > 3/4 Question stem, rephrased: Is x/y > 3/4? Statement 1: x > y-x 2x > y 2(x/y) > 1 x/y > 1/2 Case 1: x/y = 2/3 In this case, x/y < 3/4, so the answer to the ...”
May 28, 2019
GMATGuruNY posted a reply to A certain fruit stand sold apples for $0.70 each and bananas in the Problem Solving forum “Consider the following equation: 2x + 3y = 30. If x and y are nonnegative integers, the following solutions are possible: x=15, y=0 x=12, y=2 x=9, y=4 x=6, y=6 x=3, y=8 x=0, y=10 Notice the following: The value of x changes in increments of 3 (the coefficient for y). The value ...” May 28, 2019 Max@Math Revolution posted a new topic called x + 2y + 3z = 4 and 5x + 4y + 3z = 8. What is the value of x in the Problem Solving forum “[GMAT math practice question] x + 2y + 3z = 4 and 5x + 4y + 3z = 8. What is the value of x + y + z? A. 1 B. 2 C. 3 D. 4 E. 5” May 28, 2019 Max@Math Revolution posted a new topic called f(x) = anx^n + an-1x^{n-1} + … + a1x + a0. What is the sum o in the Data Sufficiency forum “nx^n + an-1x^{n-1} + … + a1x + a0. What is the sum of the coefficients of the function f? 1) f(1) = 20 2) f(-1) = 10” May 28, 2019 Ian Stewart posted a reply to In an endurance race, a car drove the whole race at a in the Data Sufficiency forum “The car is driving 180 miles per hour. If it drove more than 2 hours, all we know is that it drove more than 360 miles, so Statement 1 is not sufficient. If it drove less than 2.75 = 11/4 hours, then it drove less than (11/4)(180) = (11/2)(90) = 11*45 = 495 miles, so the total distance was certainly ...” May 27, 2019 Brent@GMATPrepNow posted a reply to Car X is 40 miles west of Car Y. Both cars are traveling in the Problem Solving forum “Let''s let Car X''s original position be the initial starting point. So, when Car X is at the initial starting point, Car Y has already traveled 40 miles. My word equation involves the conditions when Car X catches up to Car Y. At that point, we can say: Car X''s TOTAL distance traveled = ...” May 27, 2019 Scott@TargetTestPrep posted a reply to a parking lot charges its rental in the following way- first in the Problem Solving forum “Kevin was charged the first way for 12 hours of parking, so he was charged: 5 + 5(3) + 4(4) = 5 + 15 + 16 = 36 dollars Had he instead opted for the second way, he would have saved 36 - 20 = 16 dollars. Answer: D” May 27, 2019 Scott@TargetTestPrep posted a reply to The probability that team A will not win the tournament is in the Problem Solving forum “Recall that P(A or B) = P(A) + P(B) - P(A and B). The probability that team A wins is 1 - 0.8 = 0.2 and the probability that team B wins is 1 - 0.6 = 0.4. Since they can’t both be the winner, P(A and B) = 0. Thus, P(A or B) = 0.2 + 0.4 - 0 = 0.6 Answer: D” May 27, 2019 Scott@TargetTestPrep posted a reply to Car X is 40 miles west of Car Y. Both cars are traveling in the Problem Solving forum “We can let the rate of Car Y = r and the rate of Car X = 1.5r. Recall that 2 hours and 40 minutes = 2 2/3 hours = 8/3 hours. We can create the equation: 1.5r(8/3) = r(8/3) + 40 12r/3 = 8r/3 + 40 4r/3 = 40 4r = 120 r = 30 Answer: C” May 27, 2019 Scott@TargetTestPrep posted a reply to At a car dealership, 62% of vehicles on the lot are electric in the Problem Solving forum “We are given that, of 400 cars at a dealership, 62% of the vehicles on the lot are electric, and 48% are autonomous. Thus: Number of electric cars = 400 x 0.62 = 248. Thus, the number of cars that ARE NOT electric is 400 - 248 = 152. Number of autonomous cars = 400 x 0.48 = 192. Thus, the ...” May 27, 2019 Scott@TargetTestPrep posted a reply to In how many different ways can a group of 9 people be in the Problem Solving forum “The first group of 3 can be chosen in 9C3 = (9 x 8 x 7)/(3 x 2) = 3 x 4 x 7 = 84 ways. The second group of 3 can be chosen in 6C3 = (6 x 5 x 4)/(3 x 2) = 5 x 4 = 20 ways. The third group of 3 can be chosen in 3C3 = 1 way. Therefore, the 3 groups can be chosen 84 x 20 x 1 = 1680 ways. ...” May 27, 2019 Scott@TargetTestPrep posted a reply to What is the probability of rolling two fair dice and in the Problem Solving forum “The probability that the first die shows an odd number is 3/6 = 1/2. The probability thatf the second die shows a distinct odd number is 2/6 = 1/3. Thus, the overall probability is 1/2 x 1/3 = 1/6. Answer: C” May 27, 2019 Scott@TargetTestPrep posted a reply to Kaden’s salary last year was$125,000. If his salary is in the Problem Solving forum
“It is important to recall that x% can be expressed as x/100 and y% can be expressed as y/100. If Kaden takes a x% cut, his salary is 125,000(1 - x/100) = 125,000(100 - x)/100 = 1,250(100 - x). If he takes a y% cut, his salary is 125,000(1 - y/100) = 125,000(100 - y)/100 = 1,250(100 - y). ...”
May 27, 2019
Scott@TargetTestPrep posted a reply to An office park is home to three buildings, with an average in the Problem Solving forum
“We are given that the 3 buildings have an average of 14 floors; thus, the total number of floors in the 3 buildings is 14 x 3 = 42 floors. We are also given that the median is 17 floors. To maximize the height of the smallest building, we will make the heights of the largest two buildings 17 floors ...”
May 27, 2019
Scott@TargetTestPrep posted a reply to A sheet of paper ABDE is a 12-by-18-inch rectangle, as shown in the Problem Solving forum
“We can let BC = x and thus CD = 18 - x. We see that triangle DBC (in figure 2) is a right triangle and thus we have: (DB)^2 + (BC)^2 = (CD)^2 12^2 + x^2 = (18 - x)^2 144 + x^2 = 324 - 36x + x^2 36x = 180 x = 5 Likewise, if we let FE = y and thus AF = 18 - y. We see that triangle ...”
May 27, 2019
Scott@TargetTestPrep posted a reply to If n is an integer greater than 6, which of the following in the Problem Solving forum
“We can let n = 7 and then analyze each answer choice: A) 7(8)(3) is divisible by 3. B) 7(9)(6) is divisible by 3. C) 7(10)(2) is not divisible by 3. D) 7(11)(5) is not divisible by 3. E) 7(12)(1) is divisible by 3. We can eliminate choices C and D. Now let n = 8 and analyze the ...”
May 27, 2019
GMATGuruNY posted a reply to probability in the Problem Solving forum
“3 wins and 2 losses = WWWLL. One way to determine the number of ways to get 3 wins is to count the number of ways to arrange the 5 letters WWWLL. The number of ways to arrange 5 elements = 5!. But when an arrangement includes IDENTICAL elements, we must divide by the number of ways each set of ...”
May 27, 2019
GMATGuruNY posted a reply to in old problem.. in other point.. in the Sentence Correction forum
“An ABSOLUTE PHRASE refers to the preceding subject. COMMA + APPOSITIVE serves to explain or define the nearest preceding noun or noun phrase. B and C: The computer company...will purchase the color-printing division of a rival company for $950 million, a part of a deal... Here, the modifier in ...” May 27, 2019 Max@Math Revolution posted a new topic called When -1/2 < h < 0, which of the following has the greatest v in the Problem Solving forum “[GMAT math practice question] When -1/2 < h < 0, which of the following has the greatest value? A. h^2-2h+1 B. h^2+h C. h D. h^2 E. h^3” May 27, 2019 Max@Math Revolution posted a new topic called What is the value of xy? in the Data Sufficiency forum “[GMAT math practice question] What is the value of xy? 1) x^2-4xy+5y^2-4xy+4 = 0 2) |x-4| = - √(y-2)” May 27, 2019 Max@Math Revolution posted a reply to A rectangular board measuring 9 inches by 11 inches is to be in the Problem Solving forum “=> https://i.postimg.cc/hQv3xGTn/5-24.png The smallest number of tiles will be obtained by using as many 2 inch by 3 inch rectangular tiles as possible since they are the larger tiles. As shown in the diagram above, 16 such tiles can be placed on the board, leaving three square inches to ...” May 27, 2019 Max@Math Revolution posted a reply to 6/√5-√5/5=? in the Problem Solving forum “=> $$\frac{6}{\sqrt{5}}-\frac{\sqrt{5}}{5}=\frac{6\sqrt{5}}{\sqrt{5}\sqrt{5}}-\frac{\sqrt{5}}{5}=\frac{6\sqrt{5}}{5}-\frac{\sqrt{5}}{5}=\frac{5\sqrt{5}}{5}=\sqrt{5}$$ Therefore, the answer is C. Answer: C” May 27, 2019 Max@Math Revolution posted a reply to If the average (arithmetic mean) of 5 numbers is 21, what is in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” May 27, 2019 Max@Math Revolution posted a reply to x is a positive number. Is x > 1? in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...” May 27, 2019 Brent@GMATPrepNow posted a reply to Gita is 12 years older than Harvey. In 4 years, Gita will be in the Problem Solving forum “Gita is 12 years older than Harvey. Let x = Harvey''s PRESENT age Let x + 12 = Gita''s PRESENT age In 4 years, . . . . x + 4 = Harvey''s age IN FOUR YEARS (x + 12) + 4 = Gita''s age IN FOUR YEARS . . . Gita will be twice as old as Harvey. So: (Gita''s age IN 4 YEARS) = 2(Harvey''s ...” May 26, 2019 deloitte247 posted a reply to Five-star General John Pershing had such a sweeping command in the Sentence Correction forum “Firstly, It''s important to differentiate between correspondence and correspond here. Where the former depicts a noun, the latter is a verb. Corresponds which is to be equivalent or similar to character, quantity, quality, origin, structure, function, etc. Option A - Incorrect Wrong use of word. ...” May 26, 2019 deloitte247 posted a reply to Environmentalists support a major phase-down of fossil fuels in the Critical Reasoning forum “Option A - Incorrect The passage did not talk about the ''cost of production'', rather it addresses the concern of environment on fossil fuels. Option B - Incorrect No! There is no increased use but rather talk about fossil fuels being substituted for ''nonpolluting'' substances. This option ...” May 26, 2019 deloitte247 posted a reply to In contrast to the declarations made at previous UN climate in the Sentence Correction forum “Option A - Correct This option uses the appropriate comparison phrase, and the subject of comparison is on either side. Option B - Incorrect One important thing we must watch out for here is parallelism. For an event that happened in the past, the use of "creating" totally puts that ...” May 26, 2019 GMATGuruNY posted a reply to A bowl contains equal numbers of red, orange, green, blue, in the Problem Solving forum “10 Let R=O=G=B=Y=20, for a total of 100 marbles. Kaz eats all of the green candies and half of the orange ones. R=20, O=10, G=0, B=20, Y=20 He eats half of the remaining pieces of each color. R=10, O=5, G=0, B=10, Y=10 He eats red and yellow candies in equal proportions until the total ...” May 26, 2019 deloitte247 posted a reply to When Congress reconvenes, some newly elected members from in the Sentence Correction forum “Option A - Incorrect The use of the definite conjunction "and" is not required to link the complex sentence, which is a function of each other but proper conjunction "to" is ideal. Option B - Incorrect This option cannot be used in this context because it would read to ...” May 26, 2019 GMATGuruNY posted a reply to If a/b<c/d & bd < 0, which of the following inequa in the Problem Solving forum “In I, II and III, test the following case: a=c=d=1 and b=-1, with the result that a/b < c/d and bd < 0. I: ad-bc < 0 Since ad=1*1=1 and bc=-1*1=-1, we get: 1 - (-1) < 0 2 < 0 Not true. Eliminate A and D, each of which include I. II: bc-ad > 0 Since bc=-1*1=-1 abd ...” May 26, 2019 deloitte247 posted a reply to Travelers from Earth to Mars would have to endure low levels in the Sentence Correction forum “Option A - Incorrect This option lacks parallelism Option B - Correct Proper concise construction because parallelism is well spelt out in this option. Thus, make this the correct choice. Option C - Incorrect Here, we have two problems to tackle. 1. ''Having to'' is wrong and even changes ...” May 26, 2019 deloitte247 posted a reply to Terry, a high school senior from State A, expressed an inter in the Critical Reasoning forum “Option A - Incorrect Most scholarships are given to applicants who establish financial need. This can support their decision to move. Option B - Correct To qualify for the lower tuition, applicants must prove that they have lived in State B for at least three (3) years. I believe this directly ...” May 26, 2019 deloitte247 posted a reply to A large number of famous poets in literary history have died in the Critical Reasoning forum “The poets who die young are already famous, but the painters who die young haven''t established their fame yet. So, we wind up knowing poets who died young but not painters who died young. Option A - Incorrect Eye-problems developed after the age of 40 that would suggest problems for an older ...” May 26, 2019 ceilidh.erickson posted a reply to When Congress reconvenes, some newly elected members from in the Sentence Correction forum “This question is testing PARALLELISM and IDIOMS. When Congress reconvenes, some newly elected members from rural states will try and establish tighter restrictions for the amount of grain farmers are to be allowed to grow and to encourage more aggressive sales of United States farm products ...” May 25, 2019 ceilidh.erickson posted a reply to Is $$a > |b|?$$ in the Data Sufficiency forum “For more an ABSOLUTE VALUE with INEQUALITIES, see: https://www.beatthegmat.com/if-x-is-not-equal-to-0-t295221.html#793307 https://www.beatthegmat.com/if-x-y-is-x-y-1-x-0-2-t295200.html#793303 https://www.beatthegmat.com/gmat-prep-1-question-3-t288924.html#765468” May 25, 2019 ceilidh.erickson posted a reply to Is $$a > |b|?$$ in the Data Sufficiency forum “Since this question contains an absolute value, we must be sure to think about NEGATIVE as well as positive possibilities. First, get like bases: $$2^{a-b}>2^4$$ We can infer: $$a-b>4$$ $$a>b+4$$ Since a is greater than b+4, it must also be greater than b itself. But be ...” May 25, 2019 ceilidh.erickson posted a reply to Bob works exactly 8 hours per day assembling widgets at a in the Data Sufficiency forum “If we want to know how many widgets Bob assembles in 4 hours, we need to know his constant RATE of widget assembly. 1) Bob produces 20 widgets in a full workday. We know that a full workday is 8 hours, so this is sufficient to tell us that his rate is 2.5 widgets per hour. Or, you can infer ...” May 25, 2019 ceilidh.erickson posted a reply to Set S consists of five consecutive integers, and set T consi in the Data Sufficiency forum “Set S consists of five consecutive integers, and set T consists of seven consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T? Let''s first look at 2 examples of consecutive sets that do have the same median to try to contextualize the ...” May 25, 2019 ceilidh.erickson posted a reply to In Dewey Elementary School, there are two second-grade in the Problem Solving forum “For more on estimating to find right answers on weighted average questions, see: https://www.beatthegmat.com/mixture-problem-og-problem-t295940.html#796297 https://www.beatthegmat.com/mgmat-5th-edition-2-part-question-t267680.html#789804 ...” May 25, 2019 ceilidh.erickson posted a reply to In Dewey Elementary School, there are two second-grade in the Problem Solving forum “Alternatively, you could treat this as a WEIGHTED AVERAGE problem. If one class had 40% walk-to-schoolers and the other had 80%, the weighted average of both classes must be between 40 and 80. Eliminate A. If we had an equal number of students in each class, we''d end up exactly halfway ...” May 25, 2019 ceilidh.erickson posted a reply to In Dewey Elementary School, there are two second-grade in the Problem Solving forum “In Dewey Elementary School, there are two second-grade classes: class A has 35 students and class B has 45 students. If 40% of the students in class A walk to school, and 80% of the students in class B walk to school, what percent of all the students in the second-grade at Dewey Elementary walk to ...” May 25, 2019 ceilidh.erickson posted a reply to Carlos runs a lap around the track in x seconds. His second in the Problem Solving forum “We''re simply looking for the average time per lap (not an average rate or anything more complicated). His lap times in seconds are: 1) x 2) x + 5 3) x - 2 The average of these is: $$\frac{\left(x\right)+\left(x+5\right)+\left(x-2\right)}{3}=\frac{3x+3}{3}=x+1$$ Bear in mind that this is ...” May 25, 2019 deloitte247 posted a reply to A teacher in an English literature class analyzed answers in the Critical Reasoning forum “Premise: A teacher in an English literature class analysed answers given to her students on a written test. Conclusion: Their answers for a given essay were right, on average, 60 percent of the time. Pre-thinking:- The teacher can correctly determine if the answer can be classified as correct or ...” May 25, 2019 Ian Stewart posted a reply to What is the units digit of positive integer $$p$$? in the Data Sufficiency forum “When we divide an integer by 10, its units digit is the remainder. So Statement 1 is immediately sufficient - the units digit is 8. The units digit of a number has nothing to do with the remainder you get when you divide by 11, so Statement 2 is useless (e.g. our number can be 19 or 30, which ...” May 25, 2019 Ian Stewart posted a reply to A school has $$a$$ students and $$b$$ teachers. if $$a<15 in the Data Sufficiency forum “From Statement 1, the number of students, a, is divisible by every number in that list, so it is divisible by the LCM of those numbers. If we just identify the prime divisors in that list, and their relevant exponents, we have a 2, a 5, and 3^2, so the LCM is 90. So the number of students is a ...” May 25, 2019 deloitte247 posted a reply to Fedora Convertibles began selling the Freewheeler - its in the Critical Reasoning forum “OPTION A - INCORRECT That Fedora being the market leader in this category of automobiles isn''t the main concern of the argument. So, it is not very much useful in evaluating the argument. OPTION B - INCORRECT The expense or cost of this automobile is not much useful to the argument. OPTION ...” May 25, 2019 Scott@TargetTestPrep posted a reply to The scoring system in a certain football competition... in the Problem Solving forum “We see that the team needs (at least) 31 points to reach the 40-point mark. Assuming there are no losses in the remaining 15 games, we can let n = the number of wins and 15 - n = the number of draws and create the following equation: 3n + 1(15 - n) ≥ 31 3n + 15 - n ≥ 31 2n ≥ 16 n ...” May 24, 2019 Scott@TargetTestPrep posted a reply to If the center of a circle lies on a smaller circle... in the Problem Solving forum “We can let the radius of the smaller circle = 1 and thus the radius of the larger circle = the diameter of the smaller circle = 2. The area of the smaller circle is π and the area of the larger circle is 4π. Therefore, the area of the shaded region is 4π - π = 3π and hence the area of the ...” May 24, 2019 Scott@TargetTestPrep posted a reply to How many prime numbers exist between 200 and 220? in the Problem Solving forum “First, we can omit all the even numbers (since they are divisible by 2) and all the odd numbers ending in 5 (since they are divisible by 5). So we are left with 201, 203, 207, 209, 211, 213, 217 and 219. We can omit 201, 207, 213 and 219 also since all of these numbers are divisible by 3 (notice ...” May 24, 2019 Scott@TargetTestPrep posted a reply to Which of the following fractions expressed in the form in the Problem Solving forum “Analyzing our answers, we have: A) 1/8 = 0.125 and 0.18 B) 2/9 = 0.222... and 0.29 C) 3/4 = 0.75 and 0.34 D) 4/5 = 0.8 and 0.45 E) 8/9 = 0.888... and 0.89 Since 0.88 and 0.89 are closest to each other, the answer is E. Answer: E” May 24, 2019 Scott@TargetTestPrep posted a reply to The sum S of the arithmetic sequence a, a+d,.... in the Problem Solving forum “We see that the required sum is the sum of the integers 1 to 100 inclusive minus the sum of the even integers from 26 to 62 inclusive. Notice that Sn = n/2(2a + (n-1)*d) = n/2(a + [a + (n-1)d]). That is, the sum of the first n terms of an arithmetic sequence is n/2 times the sum of the first and ...” May 24, 2019 Scott@TargetTestPrep posted a reply to Two people measure each other's height, the height of the... in the Problem Solving forum “We can create the equation: H - L = (H + L)/2 2H - 2L = H + L H = 3L H/L = 3 Answer: D” May 24, 2019 Scott@TargetTestPrep posted a reply to A call center has two teams. Each member of Team A was... in the Problem Solving forum “Let’s assume that team B has 8 members and thus team A has 5 members. Furthermore, we can let each member in team B make 5 calls and thus each member in team A makes 4 calls. Thus, team A makes 4 x 5 = 20 calls and team B makes 5 x 8 = 40 calls. So team B makes 40/60 = 2/3 of all the calls. ...” May 24, 2019 Scott@TargetTestPrep posted a reply to A call center has two teams. Each member of Team A was... in the Problem Solving forum “Let’s assume that team B has 8 members and thus team A has 5 members. Furthermore, we can let each member in team B make 5 calls and thus each member in team A makes 4 calls. Thus, team A makes 4 x 5 = 20 calls and team B makes 5 x 8 = 40 calls. So team B makes 40/60 = 2/3 of all the calls. ...” May 24, 2019 Scott@TargetTestPrep posted a reply to Several people are sitting around a round table playing... in the Problem Solving forum “n = the number of people at the table, so we have 50/n = q R 1 for some integer q. With this in mind, let’s analyze each answer choice. A) 50/4 = 12 R 2 (This is not the correct choice.) B) 50/5 = 10 R 0 (This is not the correct choice.) C) 50/7 = 7 R 1 (This is the correct choice.) ...” May 24, 2019 Max.P@EMPOWERgmat.com posted a reply to Custodian fees and expenses, as described in the statement in the Sentence Correction forum “Hello Everyone! Let''s tackle this question, one thing at a time, and narrow down the options to the correct one! To begin, let''s scan over the options and highlight any major differences in orange: Custodian fees and expenses, as described in the statement of operations, include interest ...” May 24, 2019 Scott@TargetTestPrep posted a reply to Rounding question - something bothering me in the Problem Solving forum “If the distance of 290 miles is obtained by rounding to the nearest 10 miles, the actual distance must be between 285 miles and 295 miles. Similarly, if the number of gallons of gasoline used, 12 gallons, is obtained by rounding to the nearest gallon, the actual number of gallons must be between ...” May 24, 2019 Scott@TargetTestPrep posted a reply to Running at their respective constant rates, machine X takes in the Problem Solving forum “We can let x = the number of days it takes Machine X to produce w widgets, and thus x - 2 = the number of days it takes Machine Y to produce w widgets. Furthermore, the rate of Machine X is w/x, and the rate of Machine Y is w/(x - 2). We are given that they can produce 5w/4 widgets in 3 days. ...” May 24, 2019 Scott@TargetTestPrep posted a reply to In a certain kindergarten, every child has got either a... in the Problem Solving forum “We can use the equation: Total = Dogs only + Cats only + Both + Neither 30 = 18 + c + 6 + 0 30 = 24 + c 6 = c Since 6 children have cats only and another 6 children have both cats and dogs, 12 children have cats. Answer: B” May 24, 2019 Scott@TargetTestPrep posted a reply to The product of all the prime numbers less than... in the Problem Solving forum “2 x 3 x 5 x 7 x 11 x 13 x 17 x 19 Let’s group some of these numbers to get powers of 10: 2 x 5 = 10 = 10^1 7 x 11 x 13 = 1001 ≈ 10^3 Now we are left with 3, 17 and 19: 3 x 17 x 19 = 51 x 19 ≈ 50 x 20 = 1000 = 10^3 Thus, the product of all the prime numbers less than 20 is ...” May 24, 2019 Scott@TargetTestPrep posted a reply to What is the number of multiples of 5 between 5^3 and 5^4 in the Problem Solving forum “We see that we are really being asked to determine the number of multiples of 5 between 5^3 = 125 and 5^4 = 625. This is an evenly spaced set, and so we can use the following formula: (greatest multiple of 5 – smallest multiple of 5)/5 + 1 = (625 – 125)/5 + 1 = 500/5 + 1 = 101. Answer: C” May 24, 2019 Scott@TargetTestPrep posted a reply to The "connection" between any two positive integers in the Problem Solving forum “The smallest common multiple of 12 and 21 is 3 x 4 x 7 = 84. The product of 12 and 21 is 12 x 21 = 252. Therefore, the connection between 12 and 21 is 84/252 = 1/3. Answer: C” May 24, 2019 Max.P@EMPOWERgmat.com posted a reply to Many stock traders in the United States have set out to in the Sentence Correction forum “Hello Everyone! Let''s tackle this question, one thing at a time, and narrow it down to the correct answer quickly! To begin, let''s take a quick scan over the options, highlighting any major differences between the options in orange: Many stock traders in the United States have set out to ...” May 24, 2019 Max.P@EMPOWERgmat.com posted a reply to Rather than ignore a company that seems about to fail, in the Sentence Correction forum “Hello Everyone! Let''s tackle this question, one thing at a time, and narrow down our options to the right answer! To begin, here''s the original question with major differences highlighted in orange: Rather than ignore a company that seems about to fail, investment analysts should recognize ...” May 24, 2019 Scott@TargetTestPrep posted a reply to There are 6 boxes numbered 1, 2, 3,...6. Each box is to be.. in the Problem Solving forum “If exactly 1 box has a green ball, there are 6C1 = 6 ways. If exactly 2 boxes have a green ball, we can treat the 2 boxes as a single box since the 2 boxes are consecutively numbered, and hence there are 5C1 = 5 ways. If exactly 3 boxes have a green ball, we can treat the 3 boxes as a single ...” May 24, 2019 Scott@TargetTestPrep posted a reply to One inlet pipe can fill an empty cistern to 1/3 of its in the Problem Solving forum “We see that the first pipe has a rate of (1/3)/3 = 1/9 and the second pipe has a rate of (3/4)/4.5 = (3/4)/(9/2) = 3/4 x 2/9 = 1/6. Let t = the time, in hours, it takes for both pipes work together to fill the cistern, we can create the equation: t(1/9 + 1/6) = 1 t(2/18 + 3/18) = 1 t(5/18) ...” May 24, 2019 Scott@TargetTestPrep posted a reply to The distribution of the scores on a standardized test is in the Problem Solving forum “Since 68% of the scores fall between M - S and M + S, then 32% of the scores fall in the two tails of the bell curve. Since the distribution is symmetric about its mean, that means exactly half of 32%, i.e., 16%, of scores fall above M + S (and the other 16% fall below M - S). Alternate ...” May 24, 2019 Scott@TargetTestPrep posted a reply to The average of m, n, and p is q and the average q and r is s in the Problem Solving forum “We can create the equation: (q + r)/2 = s q + r = 2s r = 2s - q However, since q is (m + n + p)/3, we have: r = 2s - (m + n + p)/3 r = 6s/3 - (m + n + p)/3 r = (6s - m - n - p)/3 Answer: B” May 24, 2019 deloitte247 posted a reply to Of all the high schools in the United States, Judd Academy in the Critical Reasoning forum “Option A :- Incorrect This is rather a conclusive statement without a proof, it is not totally convincing because their relevance in the air-force is not enough to fully justify their patriotism. Option B :- Incorrect We can''t assume in this situation that the statement above did not give an ...” May 24, 2019 deloitte247 posted a reply to Groverton Mass Transit Authority: Constructing the county's in the Critical Reasoning forum “Option A:- Incorrect The recommendation statement clearly indicates that less traffic disruption can only be accomplished when the construction is done overnight. Therefore this option negates the statement. Option B:- Incorrect The question is not about who or not is in position to use the ...” May 24, 2019 deloitte247 posted a reply to Beta Corporation claims that it no longer has enough work fo in the Critical Reasoning forum “Option A :- Incorrect This statement is true and valid, if the employees are not competent enough then they won''t have secured an employment in the first place. Option B :- Incorrect This statement gives no particular reference to either the question or the workers'' condition. Option C ...” May 24, 2019 deloitte247 posted a reply to Effective street lighting has been proven to reduce crime. T in the Critical Reasoning forum “Option A :- Incorrect No opinion can be categorized as general, the presentation of this statement is intact, as the second boldface portion opposes the first one. Option B :- Incorrect The first cannot be possibly referenced as a conclusion owing to the fact that it appeared at the beginning ...” May 24, 2019 deloitte247 posted a reply to Every year, May Seas employees are required to attend in the Critical Reasoning forum “Option A :- Incorrect They were recognized for their quality customer service, which stands out; this may be a result of the retraining each year. This rather strengthens the argument. Option B :- Incorrect This statement establishes that there is a relationship existing between the ...” May 24, 2019 GMATGuruNY posted a reply to A husband and wife can complete a certain task in 1 and 2 in the Data Sufficiency forum “Let the job = 12 units. Dividing the four given times into the 12-unit job, we get the following hourly rates: Husband:Wife:Rae:Herman = (12 per hour): (6 per hour) : (3 per hour) : (2 per hour) (Husband + Wife) : (Rae + Herman) = (12+6 per hour) : (3+2 per hour) Couple : Children = 18:5 ...” May 24, 2019 Ian Stewart posted a reply to In a certain alphabet, 12 letters contain a dot and a in the Problem Solving forum “Strange question - the question tells us about 36 of the letters, and there are 40 letters in total. So there are 4 letters left, and they must be in the "dot and no line" category.” May 24, 2019 Ian Stewart posted a reply to Gordon buys 5 dolls for his 5 nieces. The gifts include two in the Problem Solving forum “Any 5-letter word we make using the letters S, S, E, G, T corresponds to one way to distribute the dolls. So the word SEGTS for example corresponds to giving the S doll to the oldest child, the E to the next oldest, and so on. If the letters were different, there would be 5! words we could make ...” May 24, 2019 Ian Stewart posted a reply to A husband and wife can complete a certain task in 1 and 2 in the Data Sufficiency forum “Using whatever rates method one prefers, you can just find how long the husband and wife take, how long the children take, and take the ratio of those two times. I''d get the same time for the husband and wife: h does 2 tasks in 2 hours w does 1 task in 2 hours h+w do 3 tasks in 2 hours so 1 ...” May 24, 2019 Ian Stewart posted a reply to When the positive integer \(n$$ is divided by $$25$$, the in the Data Sufficiency forum “Using Statement 1, n can be 13, 38, 63, and 88. Using Statement 2 alone, we''ll have an infinite number of values of n, separated by 100, the LCM of 25 and 20. Using both Statements, n must be 63, and the answer is C.” May 24, 2019 Brent@GMATPrepNow posted a reply to Al and Ben are drivers for SD Trucking Company. One snowy da in the Problem Solving forum “Let''s start with a "word equation" (Ben''s travel distance) + (Al''s travel distance) = 240 miles Let t = Al''s travel time (in hours) So, t + 3= Ben''s travel time (since Ben spent 3 more hours driving) Distance = (rate)(time) So, our word equation becomes... (20)(t + 3) = ...” May 24, 2019 Brent@GMATPrepNow posted a reply to What is x in the diagram below? in the Problem Solving forum “The important thing to recognize here is that there are two SIMILAR TRIANGLES hiding in this diagram. http://s24.postimg.cc/50bvp89dt/sim_tri.jpg Notice that these two triangles share both a 90-degree angle AND the angle I''ve denoted with a purple dot. Since the 3 angles in each triangle must ...” May 24, 2019 Max@Math Revolution posted a new topic called A rectangular board measuring 9 inches by 11 inches is to be in the Problem Solving forum “[GMAT math practice question] A rectangular board measuring 9 inches by 11 inches is to be covered with 2 inch by 3 inch rectangular tiles and 1-inch square tiles. What is the smallest number of tiles that can be used to cover the board? A. 19 B. 20 C. 22 ...” May 24, 2019 Max@Math Revolution posted a reply to How many roots does the equation (x^2-1)/(x+1)=x have? in the Problem Solving forum “=> (x^2-1)/(x+1)=x => (x+1)(x-1) / (x+1) = x => x-1 = x by canceling (x+1). But x – 1 = x has no solution. Therefore, the answer is A. Answer: A” May 24, 2019 Max@Math Revolution posted a new topic called If the average (arithmetic mean) of 5 numbers is 21, what is in the Data Sufficiency forum “[GMAT math practice question] If the average (arithmetic mean) of 5 numbers is 21, what is their standard deviation? 1) The least of the 5 numbers is 21 2) The greatest of the 5 numbers is 21” May 24, 2019 Max@Math Revolution posted a reply to If m and n are non-negative integers, what is the value of m in the Data Sufficiency forum “=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. The first ...” May 24, 2019 Scott@TargetTestPrep posted a reply to In a race of 6 horses A, B, C, D, E and F, what is the prob in the Problem Solving forum “Since we only care about A finishing ahead of B and C, we can ignore the other horses. If we only have three horses A, B and C, the ordering of the 3 horses can be: ABC, ACB, BAC, BCA, CAB, CBA We see that of the 6 orderings, only (the first) 2 have A ahead of B and C, therefore, the ...” May 24, 2019 Scott@TargetTestPrep posted a reply to In a race of 6 horses A, B, C, D, E and F, what is the prob in the Problem Solving forum “Since we only care about A finishing ahead of B and C, we can ignore the other horses. If we only have three horses A, B and C, the ordering of the 3 horses can be: ABC, ACB, BAC, BCA, CAB, CBA We see that of the 6 orderings, only (the first) 2 have A ahead of B and C, therefore, the ...” May 24, 2019 Scott@TargetTestPrep posted a reply to In a neighborhood having 90 households, 11 did not have in the Problem Solving forum “We can use the following formula: # of households = # with a car + # with a bike - # with both + # with neither 90 = 44 + b - 12 + 11 90 = 43 + b 47 = b We see that 47 households had a bike and 12 of them also had a car; thus, 47 - 12 = 35 households had a bike only. Answer: B” May 24, 2019 Scott@TargetTestPrep posted a reply to Car A drives from P to Q at a constant rate of 100 km per ho in the Problem Solving forum “Let t = the time in hours car A travels when it meets train B. Thus t - 1 = the time in hours train B travels when it meets car A. We can create the following equation: 100t + 150(t - 1) = 600 100t + 150t - 150 = 600 250t = 750 t = 3 Since car A travels for 3 hours when it meets train ...” May 24, 2019 Scott@TargetTestPrep posted a reply to A class consists of 5 boys and 4 girls. Given that one kid in the Problem Solving forum “We are given a class of 5 boys and 4 girls. Let’s first determine how many ways 2 boys can be selected for class clown and teacher’s pet. Suppose two of the boys are Adam and Ben, and they are selected as the class clown and the teacher’s pet. Saying Adam is the class clown and Ben is ...” May 24, 2019 Scott@TargetTestPrep posted a reply to When positive integer $$n$$ is divided by 3, the remainder in the Problem Solving forum “Since when n is divided by 3, the remainder is 1, n could be: 1, 4, 7, 10, 13, 16, 19, 22, … Since when n is divided by 7, the remainder is 5, n could be: 5, 12, 19, 26, … We can see that n = 19 satisfies both division/remainder criteria. And if p = 2, we have n + p = 19 + 2 = 21, ...” May 24, 2019 Scott@TargetTestPrep posted a reply to In the Land of Oz, only one or two-letter words are used. in the Problem Solving forum “We are given that in the Land of OZ only one- or two-letter words are used. If all 66 letters can be used, then we have: 1-letter words = 66 2-letter words = 66^2 Thus, there are 66 + 66^2 words if all 66 letters can be used. When the seventh letter is taken away, we have: 1-letter ...” May 24, 2019 Scott@TargetTestPrep posted a reply to If the speed of $$X$$ meters per second is equivalent to the in the Problem Solving forum “There are 3,600 seconds in an hour and 1,000 meters in a kilometer. So, let’s convert y kilometers/hour to meters/second: We can start by converting y kilometers to meters. y kilometers = 1,000y meters Next, we can convert 1 hour to seconds. 1 hour = 3,600 seconds Thus, y km/hr ...” May 24, 2019 Scott@TargetTestPrep posted a reply to Jean is arranging paint brushes used by artists for an in the Problem Solving forum “[/quote] The brushes can be arranged as follows: [V-V-V-V]-MO-MO-MO-MO-MO-MA-MA-MA-D-D-D-D-T-T Since the Van Gogh’s must be together, we consider those as “one” brush, so we are actually ordering 15 items, not 18. Additionally, since the brushes from the other artists are ...” May 24, 2019 Scott@TargetTestPrep posted a reply to A collection of 16 coins, each with a face value of either in the Problem Solving forum “We can let the number of 10-cent coins = d and the number of 25-cent coins = q. We are given that there are 16 total coins; thus, d + q = 16. We are also given that the total face value is$2.35, thus: 0.1d + 0.25q = 2.35 10d + 25q = 235 Isolating d in our first equation, we have d = 16 ...”
May 24, 2019
Brent@GMATPrepNow posted a reply to j, k, m, x, y and z are positive integers. When j is divided in the Problem Solving forum
“Useful remainder property: When positive integer N is divided by positive integer D, the remainder R is such that 0 ≤ R < D For example, if we divide some positive integer by 7, the remainder will be 6, 5, 4, 3, 2, 1, or 0 When j is divided by k, the remainder is m The above property ...”
May 23, 2019
Ian Stewart posted a reply to What is the remainder when $$a$$ is divided by 4? in the Data Sufficiency forum
“You could just see what happens with 1 and 3 here (the only two different odd remainders when you divide by 4), to see that Statement 1 is sufficient. Or you could prove it algebraically: we can write an odd number as 2m + 1, so if a is the square of an odd integer, a = (2m + 1)^2 = 4m^2 + 4m + 1, ...”
May 23, 2019
Ian Stewart posted a reply to Nancy, a car dealer, put 4 cars on sale. All cars on sale in the Data Sufficiency forum
“Is there a typo in the question? If Nancy only put 4 cars on sale, then it''s impossible for "30% of the cars with automatic gear are hybrids" to be true, because then there''s no way for the number of automatic hybrids to be an integer (unless there are zero of them, but then it makes no ...”
May 23, 2019
GMATGuruNY posted a reply to A jar contains 8 red marbles and $$y$$ white marbles. in the Data Sufficiency forum
“Test the THRESHOLDS and try EXTREMES. Here, the THRESHOLDS are y=8 and y=4. Statement 1: y≤8 Case 1: 8 white marbles, 8 red marbles P(RR) = 8/16 * 7/15 = 7/30. P(one of each color): P(RW) = 8/16 * 8/15 = 8/30. Since RW can be reversed to WR, we multiply by 2: 2(8/30) = 16/30. In ...”
May 23, 2019
GMATGuruNY posted a reply to Robots X, Y, and Z each assembled components at their in the Data Sufficiency forum
“Let X = X''s rate, Y = Y''s rate, and Z = Z''s rate. r(x) = the ratio of X''s rate to Z''s rate = X/Z. r(y) = the ratio of Y''s rate to Z''s rate = Y/Z. Note: X, Y and Z all represent rates and thus must be POSITIVE. Statement 1: r(x) < r(y) In other words: X/Z < Y/Z. Since ...”
May 23, 2019
GMATGuruNY posted a reply to In the diagram above, line BC touches the circle at point C in the Data Sufficiency forum
“To determine the area of the circle, we need to know its radius. Question stem, rephrased: What is the value of r? A radius drawn to a tangent line forms a RIGHT ANGLE. Thus, angle OCB is a right angle, with the result that triangle OCB is a right triangle. In right triangle OCB, OB=r, BC=35, ...”
May 23, 2019
GMATGuruNY posted a reply to NNN in the Critical Reasoning forum
“Consider the following case: The networks airs over one hundred programs focused largely on the opinions of its viewers. The NUMBER of programs tells us nothing about the NATURE of the opinions (whether they are liberal or conservative) or about the network''s REACTION to these opinions (whether ...”
May 23, 2019
Max@Math Revolution posted a new topic called 6/√5-√5/5=? in the Problem Solving forum
“[GMAT math practice question] $$\frac{6}{\sqrt{5}}-\frac{\sqrt{5}}{5}=?$$ A. 1 B. -1 C. √5 D. -√5 E. 2√5”
May 23, 2019
Max@Math Revolution posted a reply to If a=2b=6c for positive integers a, b, and c, which of the f in the Problem Solving forum
“=> Since 2b = 6c, we have b = 3c. Thus, abc = (6c)*(3c)*c = 18c^3 and abc is a multiple of 18. This implies that abc is a multiple of both 2 and 9. Of the above answer choices, only 2250 is a multiple of both 2 and 9. Therefore, the answer is C. Answer: C”
May 23, 2019
Max@Math Revolution posted a new topic called x is a positive number. Is x > 1? in the Data Sufficiency forum
“[GMAT math practice question] x is a positive number. Is x > 1? 1) √x > x 2) x^3 - x < 0”
May 23, 2019
Max@Math Revolution posted a reply to If m and n are positive integers, is m/n a terminating decim in the Data Sufficiency forum
“=> Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution. Since we ...”
May 23, 2019
deloitte247 posted a reply to Hoses A, B, and C pump a swimming pool full of water. Hoses in the Data Sufficiency forum
“Work done by hoses A and B in 1 hr = 1/4 Work done by hoses B and C in 1 hr = 1/6 How long does it take pump A working alone to fill the pool? Statement 1 All the three hoses working together simultaneously can fill the in 3 hrs 36 mins Workdone by hoses A,B and C in 1 hr = 1/3.6 i.e A + B + ...”
May 23, 2019
Brent@GMATPrepNow posted a reply to Challenge question: Is positive integer p even? in the Data Sufficiency forum
“------ASIDE--------------------- Here''s a useful rule: 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 ...”
May 22, 2019
Brent@GMATPrepNow posted a new topic called j, k, m, x, y and z are positive integers. When j is divided in the Problem Solving forum
“j, k, m, x, y and z are positive integers. When j is divided by k, the remainder is m. When x is divided by y, the remainder is z. If ky = 75, which of the following CANNOT be the value of mz? i) 49 ii) 50 iii) 56 A) iii only B) i and ii C) i and iii D) ii and iii E) i, ii and iii ...”
May 22, 2019
Rich.C@EMPOWERgmat.com posted a reply to Three-fourths of the area of a rectangular lawn 30 feet wide in the Problem Solving forum
“Hi All, We''re told that 3/4 of the AREA of a rectangular lawn 30 feet wide by 40 feet long is to be enclosed by a rectangular fence. We''re asked if the enclosure has full width and REDUCED length rather than full length and REDUCED width, how much LESS fence will be needed. This question is ...”
May 22, 2019
Max.P@EMPOWERgmat.com posted a reply to According to the laws of this nation, individuals are in the Sentence Correction forum
“Hello Everyone! Let''s tackle this question, one problem at a time, and narrow it down to the correct answer quickly! First, let''s take a quick scan over the options and highlight any major differences in orange: According to the laws of this nation, individuals are minors until they reach ...”
May 22, 2019
Rich.C@EMPOWERgmat.com posted a reply to In quadrilateral ABCD above, what is the length of AB ? in the Problem Solving forum
“Hi All, We''re asked for the length of AB in quadrilateral ABCD. When dealing with ''weird'' shapes, it often helps to break the shape down into ''pieces'' that are easier to deal with. Here, if you draw a line from B to D, you will from 2 RIGHT TRIANGLES. Triangle BCD has legs of 3 and ...”
May 22, 2019
Rich.C@EMPOWERgmat.com posted a reply to If rectangle ABCD is inscribed in the circle above, what is in the Problem Solving forum
“Hi All, We''re told that a rectangle with sides of 5 and 12 is inscribed in the circle. We''re asked for the area of the circular region. This question is based on a number of math patterns that can help you to save time answering the question. First, any square or rectangle that is inscribed ...”
May 22, 2019
Max.P@EMPOWERgmat.com posted a reply to Self-compassion is made up of mindfulness, the ability in the Sentence Correction forum
“Hello Everyone! While this may look like an incredibly complicated question to answer, we think you can tackle it pretty quickly if you can identify what type of question it is: a LIST question! To begin, let''s take a quick scan over the options and highlight any major differences in orange: ...”
May 22, 2019
Max.P@EMPOWERgmat.com posted a reply to Regulators are likely to end what are, in effect in the Sentence Correction forum
“Hello Everyone! Let''s tackle this question, one problem at a time, and narrow it down to the right answer quickly! To begin, let''s take a quick scan over the options and highlight any major differences in orange: Regulators are likely to end what are, in effect, long-standing exemptions ...”
May 22, 2019