## Problem Solving

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OFFICIAL GUIDE QUESTION LIBRARY
by beatthegmat »
Join the discussion as you work through your Official Guide and gain...
2
Last post by gentvenus
Wed Sep 09, 2020 12:49 pm
If $$n$$ and $$k$$ are integers whose product is $$400,$$ which of the following statements must be true?
by Gmat_mission »
If $$n$$ and $$k$$ are integers whose product is $$400,$$ which of...
0
Last post by Gmat_mission
Fri May 07, 2021 8:05 am
If the product of integers $$a$$ and $$b$$ is negative and the sum of their squares is greater than $$0$$ but less than
by Gmat_mission »
If the product of integers $$a$$ and $$b$$ is negative and the sum of...
0
Last post by Gmat_mission
Fri May 07, 2021 8:00 am
Find the range of values of $$x$$ such that $$\dfrac{(x+6)(3x-4)^3}{(x+2)^2}>0.$$
by Gmat_mission »
Find the range of values of $$x$$ such that...
0
Last post by Gmat_mission
Fri May 07, 2021 7:58 am
A certain bridge is 4,224 feet long. What constant rate, in miles per hour, must be maintained in order to walk across
by Gmat_mission »
A certain bridge is 4,224 feet long. What constant rate, in miles per...
0
Last post by Gmat_mission
Fri May 07, 2021 7:51 am
Machine $$A$$ can complete a certain job in $$x$$ hours. Machine $$B$$ can complete the same job in $$y$$ hours. If
by Gmat_mission »
Machine $$A$$ can complete a certain job in $$x$$ hours. Machine...
0
Last post by Gmat_mission
Fri May 07, 2021 7:48 am
A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount on the retail price. by Gmat_mission » A retailer bought a machine at a wholesale price of$90 and later on...
0
Last post by Gmat_mission
Fri May 07, 2021 7:43 am
If $$|x + 5| \leq |2x - 5|,$$ which of the following specifies all the value of $$x?$$
by Gmat_mission »
If $$|x + 5| \leq |2x - 5|,$$ which of the following specifies all...
0
Last post by Gmat_mission
Fri May 07, 2021 7:39 am
$$10$$ factories, working for $$h$$ hours per day, can produce $$P$$ units of cars every $$5$$ days. Each factory produc
by Gmat_mission »
$$10$$ factories, working for $$h$$ hours per day, can produce $$P$$...
0
Last post by Gmat_mission
Fri May 07, 2021 7:34 am
If the sum of two positive integers is 24 and the difference of their squares is 48, what is the product of the two inte
by M7MBA »
If the sum of two positive integers is 24 and the difference of their...
0
Last post by M7MBA
Fri May 07, 2021 7:29 am
The monthly sales (in thousands of $) at a certain restaurant for the past two years are given in the chart below: by BTGmoderatorLU » Source: Manhattan Prep The monthly sales (in thousands of$) at a...
0
Last post by BTGmoderatorLU
Thu May 06, 2021 5:33 pm
In a certain game of archery the points in each round for the first, second, third and fourth position were 7, 5, 3, 2.
by BTGmoderatorLU »
Source: Manhattan Prep In a certain game of archery the points in...
0
Last post by BTGmoderatorLU
Thu May 06, 2021 5:24 pm
Triangle XYZ is an isosceles right triangle. If side XY is longer than side YZ, and the area of the triangle is 16, what
by BTGmoderatorDC »
Triangle XYZ is an isosceles right triangle. If side XY is longer...
0
Last post by BTGmoderatorDC
Thu May 06, 2021 3:36 pm
If x, y, P, and Q are positive integers such that x + y = P and $$x^2=\dfrac{Q^2}{Y^2},$$ then
by AAPL »
E-GMAT If x, y, P, and Q are positive integers such that x + y = P...
0
Last post by AAPL
Thu May 06, 2021 4:21 am
Que: John purchased 2,000 bolts for $15 each. He sold 1,000 bolts for$20 each .......
by [email protected] Revolution »
Que: John purchased 2,000 bolts for $15 each. He sold 1,000 bolts... 0 Last post by [email protected] Revolution Wed May 05, 2021 9:30 pm Que: Mandy sold 600 apples in 10 days. If the number of apples she sold increased by 4 each day..... by [email protected] Revolution » Que: Mandy sold 600 apples in 10 days. If the number of apples she... 1 Last post by [email protected] Revolution Wed May 05, 2021 9:25 pm A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters. What is the length, in meters, of the longest, by BTGmoderatorDC » A wooden crate has inside dimensions 3 meters by 4 meters by 12... 1 Last post by swerve Wed May 05, 2021 6:22 pm The arithmetic mean and standard deviation of a certain normal distribution are 13.5 and 1.5, respectively. What value by M7MBA » The arithmetic mean and standard deviation of a certain normal... 1 Last post by [email protected] Wed May 05, 2021 6:51 am If each term in the sum $$a_1+a_2+a_3+\cdots + a_n$$ is either $$7$$ or $$77$$ and the sum equals $$350,$$ which of the by Gmat_mission » If each term in the sum $$a_1+a_2+a_3+\cdots + a_n$$ is either $$7$$... 1 Last post by [email protected] Wed May 05, 2021 6:50 am Aliceâ€™s take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month by Gmat_mission » Aliceâ€™s take-home pay last year was the same each month, and she... 1 Last post by [email protected] Wed May 05, 2021 6:49 am A technician makes a round-trip to and from a certain service center by the same route. If the technician completes by BTGmoderatorDC » A technician makes a round-trip to and from a certain service center... 1 Last post by [email protected] Wed May 05, 2021 6:47 am Pumping alone at their respective constant rates, one inlet pipe fills an empty tank to 1/2 of capacity in 3 hours and by VJesus12 » Pumping alone at their respective constant rates, one inlet pipe... 1 Last post by [email protected] Wed May 05, 2021 6:45 am A boat traveled upstream $$90$$ miles at an average speed of $$v-3$$ miles per hour and then traveled the same distance by VJesus12 » A boat traveled upstream $$90$$ miles at an average speed of $$v-3$$... 1 Last post by [email protected] Wed May 05, 2021 6:44 am On July 1 of last year, total employees at company E was decreased by 10 percent. Without any change in the salaries of by BTGmoderatorLU » Source: GMAT Prep On July 1 of last year, total employees at company... 1 Last post by [email protected] Wed May 05, 2021 6:42 am The total cost of a vacation was divided equally among 3 people. If the total cost of the vacation had been divided... by BTGmoderatorLU » Source: GMAT Prep The total cost of a vacation was divided equally... 1 Last post by [email protected] Wed May 05, 2021 6:41 am The numbers in which of the following pairs do NOT have a pair of distinct prime divisors in common? by AAPL » GMAT Paper Tests The numbers in which of the following pairs do NOT... 1 Last post by [email protected] Wed May 05, 2021 6:40 am A positive integer n is a perfect number provided that the sum of all the positive factors of n, including 1 and n, is by BTGmoderatorLU » Source: Official Guide A positive integer n is a perfect number... 0 Last post by BTGmoderatorLU Wed May 05, 2021 3:42 am A total of 5 liters of gasoline is to be poured into two empty containers with capacities of 2 liters and 6 liters... by BTGmoderatorLU » Source: Official Guide A total of 5 liters of gasoline is to be... 0 Last post by BTGmoderatorLU Wed May 05, 2021 3:35 am Que: Approximately how many seconds will it take for a car with a constant rate of 75 miles per hour..... by [email protected] Revolution » Que: Approximately how many seconds will it take for a car with a... 1 Last post by [email protected] Revolution Tue May 04, 2021 9:29 pm A wildlife preserve is being planned for 3,000 rhinoceroses. The preserve is to contain a total of 10,000 acres of water by AAPL » GMAT Paper Tests A wildlife preserve is being planned for 3,000... 0 Last post by AAPL Tue May 04, 2021 4:49 pm If the sum of the square roots of two integers is $$\sqrt{9+6\sqrt2},$$ what is the sum of the squares of these two inte by M7MBA » If the sum of the square roots of two integers is... 0 Last post by M7MBA Tue May 04, 2021 7:20 am If $$a = 1$$ and $$\dfrac{a - b}{c} = 1$$ which of the following is NOT a possible value of $$b?$$ by M7MBA » If $$a = 1$$ and $$\dfrac{a - b}{c} = 1$$ which of the following is... 0 Last post by M7MBA Tue May 04, 2021 7:18 am What is the ratio of $$\dfrac34$$ to the product $$4\cdot \left(\dfrac34\right)?$$ by M7MBA » What is the ratio of $$\dfrac34$$ to the product $$4\cdot... 0 Last post by M7MBA Tue May 04, 2021 7:16 am The sequence \(a_1, a_2, a_3, \ldots , a_n, \ldots$$ is such that $$i \cdot a_i=j \cdot a_j$$ for any pair of positive by M7MBA » The sequence $$a_1, a_2, a_3, \ldots , a_n, \ldots$$ is such that $$i... 0 Last post by M7MBA Tue May 04, 2021 7:12 am A rectangular solid, \(x$$ by $$y$$ by $$z,$$ is inscribed in a sphere so that all eight of its vertices are on the sphe by M7MBA » A rectangular solid, $$x$$ by $$y$$ by $$z,$$ is inscribed in a... 0 Last post by M7MBA Tue May 04, 2021 7:07 am Pumps $$A, B,$$ and $$C$$ operate at their respective constant rates. Pumps $$A$$ and $$B,$$ operating simultaneously, by M7MBA » Pumps $$A, B,$$ and $$C$$ operate at their respective constant rates.... 0 Last post by M7MBA Tue May 04, 2021 7:03 am On the number line above, the segment from $$0$$ to $$1$$ has been divided into fifths, as indicated by the large tick by M7MBA » GMAT_PS_PREP_T2_108.png On the number line above, the segment from... 0 Last post by M7MBA Tue May 04, 2021 6:58 am At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different on by M7MBA » At a dinner party, 5 people are to be seated around a circular table.... 0 Last post by M7MBA Tue May 04, 2021 6:55 am Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additiona by M7MBA » Six machines, each working at the same constant rate, together can... 0 Last post by M7MBA Tue May 04, 2021 6:53 am In 1980 Johnâ€™s salary was$15,000 a year and Donâ€™s salary was $20,000 a year. If every year thereafter. John receives a by VJesus12 » In 1980 Johnâ€™s salary was$15,000 a year and Donâ€™s salary was...
0
Last post by VJesus12
Tue May 04, 2021 6:50 am
If $$[z]$$ denotes the greatest integer less than or equal to $$z$$ and $$[z] = -1$$ which of the following statements
by VJesus12 »
If  denotes the greatest integer less than or equal to $$z$$ and...
0
Last post by VJesus12
Tue May 04, 2021 6:46 am
On the number line shown, the tick marks are equally spaced. What is the value of $$y - x ?$$
by VJesus12 »
GMAT_PS_PREP_T2_142.png On the number line shown, the tick marks are...
0
Last post by VJesus12
Tue May 04, 2021 6:40 am
If a coin has an equal probability of landing heads up or tails up each time it is flipped, what is the probability that
by VJesus12 »
If a coin has an equal probability of landing heads up or tails up...
0
Last post by VJesus12
Tue May 04, 2021 6:37 am
In the $$xy$$-plane, which of the following two points lie on the line segment that is perpendicular to the line
by VJesus12 »
In the $$xy$$-plane, which of the following two points lie on the...
0
Last post by VJesus12
Tue May 04, 2021 6:34 am
Of the $$50$$ researchers in a workgroup, $$40$$ percent will be assigned to Team $$A$$ and the remaining $$60$$ percent
by VJesus12 »
Of the $$50$$ researchers in a workgroup, $$40$$ percent will be...
0
Last post by VJesus12
Tue May 04, 2021 6:31 am
How many positive integers less than 200 are there such that they are multiples of 13 or multiples of 12 but not both?
by VJesus12 »
How many positive integers less than 200 are there such that they are...
0
Last post by VJesus12
Tue May 04, 2021 2:36 am
The average of 12 numbers 16. When one number is discarded and 15 is added, the average becomes 17. What is the number
by VJesus12 »
The average of 12 numbers 16. When one number is discarded and 15 is...
0
Last post by VJesus12
Tue May 04, 2021 2:31 am
Which of the following points is closest to line $$y=x?$$
by VJesus12 »
Which of the following points is closest to line $$y=x?$$ A. $$(2,... 0 Last post by VJesus12 Tue May 04, 2021 2:28 am If \(0\leq x\leq 4$$ and $$y<12,$$ which of the following CANNOT be the value of $$xy?$$
by VJesus12 »
If $$0\leq x\leq 4$$ and $$y<12,$$ which of the following CANNOT...
0
Last post by VJesus12
Tue May 04, 2021 2:25 am
A survey was conducted to determine the popularity of 3 foods among students. The data collected from 75 students are
by VJesus12 »
A survey was conducted to determine the popularity of 3 foods among...
0
Last post by VJesus12
Tue May 04, 2021 2:21 am
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