## 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
Geometry, Probability
by swerve »
2014-10-28_2033.png $$ABCD$$ is a square inscribed in a circle and...
0
Last post by swerve
Mon May 10, 2021 4:56 pm
Probability
by swerve »
If a jury of $$12$$ people is to be selected randomly from a pool of...
0
Last post by swerve
Mon May 10, 2021 4:43 pm
How many different positive integers having six digits are there, where exactly on of the digits is a 3, exactly two
by BTGmoderatorDC »
How many different positive integers having six digits are there,...
0
Last post by BTGmoderatorDC
Mon May 10, 2021 3:21 pm
In how many different ways can 3 fiction books and 3 non-fiction books be arranged in a row of 6 books on a shelf such
by BTGmoderatorLU »
Source: Magoosh In how many different ways can 3 fiction books and 3...
1
Last post by [email protected]
Mon May 10, 2021 6:45 am
In a certain class consisting of 36 students, some boys and some girls, exactly 1/3....
by Vincen »
In a certain class consisting of 36 students, some boys and some...
1
Last post by [email protected]
Mon May 10, 2021 6:44 am
In a certain history class of 17 juniors and seniors, each junior has written 2 book reports and each senior
by Vincen »
In a certain history class of 17 juniors and seniors, each junior has...
1
Last post by [email protected]
Mon May 10, 2021 6:43 am
Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters...
by Vincen »
Seven pieces of rope have an average (arithmetic mean) length of 68...
1
Last post by [email protected]
Mon May 10, 2021 6:43 am
Seb's watch gains 5 seconds in every 3 hours, whereas Lewis' watch losses 10 seconds in every 2 hours. If both watches
by AAPL »
E-GMAT Seb's watch gains 5 seconds in every 3 hours, whereas Lewis'...
0
Last post by AAPL
Mon May 10, 2021 5:49 am
A set consists of n positive integers arranged in decreasing order of value. If the difference between any two adjacent
by AAPL »
E-GMAT A set consists of n positive integers arranged in decreasing...
0
Last post by AAPL
Mon May 10, 2021 5:41 am
Que: If n is positive integers, what is the unit digit of $$\left(3^{4n+1}\right)\left(9^{19}\right)$$?
by [email protected] Revolution »
Que: If n is positive integers, what is the unit digit of...
0
Last post by [email protected] Revolution
Mon May 10, 2021 12:34 am
Que: If x and y are different prime numbers greater than 20 but less than 30, what is the value of x + y?
by [email protected] Revolution »
Que: If x and y are different prime numbers greater than 20 but less...
1
Last post by [email protected] Revolution
Sun May 09, 2021 11:59 pm
In a certain sequence, the term $$x_n$$ is given by the formula
by Vincen »
In a certain sequence, the term $$x_n$$ is given by the formula...
0
Last post by Vincen
Sun May 09, 2021 2:44 pm
If $$y = (x â€“ 5)^2 + (x + 1)^2 â€“ 6,$$ then y is least when $$x =$$
by Vincen »
If $$y = (x - 5)^2 + (x + 1)^2 - 6,$$ then y is least when $$x =$$ A....
0
Last post by Vincen
Sun May 09, 2021 2:32 pm
At a certain school, the ratio of the number of second graders to the number of fourth-graders is 8 to 5, and the....
by Vincen »
At a certain school, the ratio of the number of second graders to the...
0
Last post by Vincen
Sun May 09, 2021 2:28 pm
If $$mn \neq 0$$ and $$25$$ percent of $$n$$ equals $$37\frac{1}{2}$$ percent of $$m,$$ what is the value of $$\dfrac{12 by Vincen » If \(mn \neq 0$$ and $$25$$ percent of $$n$$ equals $$37\frac{1}{2}$$...
0
Last post by Vincen
Sun May 09, 2021 2:21 pm
If $$(b-3)(4+2/b) = 0$$ and $$b \neq 3,$$ then..
by Vincen »
If $$(b-3)(4+2/b) = 0$$ and $$b\neq 3,$$ then $$b=$$ (A) $$-8$$ (B)...
0
Last post by Vincen
Sun May 09, 2021 2:10 pm
Three business partners, Q, R, and S, agree to divide their total profit for a certain year in the ratios 2:5:8,....
by Vincen »
Three business partners, Q, R, and S, agree to divide their total...
0
Last post by Vincen
Sun May 09, 2021 2:01 pm
A manager must be select 2 people from a group of 4 employees. One person will be the shop steward and the other person
by BTGmoderatorLU »
Source: Magoosh A manager must select 2 people from a group of 4...
0
Last post by BTGmoderatorLU
Sun May 09, 2021 7:51 am
Que: John purchased 2,000 bolts for $15 each. He sold 1,000 bolts for$20 each .......
by [email protected] Revolution »
Que: John purchased 2,000 bolts for $15 each. He sold 1,000 bolts... 1 Last post by [email protected] Revolution Sat May 08, 2021 8:22 pm A set of 1522 numbers has a single mode. If the mode repeats 12 times and if no number occurs fewer than 2 times, what by BTGmoderatorDC » A set of 1522 numbers has a single mode. If the mode repeats 12 times... 0 Last post by BTGmoderatorDC Sat May 08, 2021 3:57 pm Triangle XYZ is an isosceles right triangle. If side XY is longer than side YZ, and the area of the triangle is 16, what by BTGmoderatorDC » Triangle XYZ is an isosceles right triangle. If side XY is longer... 2 Last post by [email protected] Sat May 08, 2021 8:48 am As a bicycle salesperson, Norman earns a fixed salary of$20 per week plus $6 per bicycle for the first 6 bicycles he by BTGmoderatorDC » As a bicycle salesperson, Norman earns a fixed salary of$20 per week...
0
Last post by BTGmoderatorDC
Fri May 07, 2021 2:44 pm
If $$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$$...
0
Last post by Gmat_mission
Fri May 07, 2021 7:34 am
If the sum of two positive integers is 24 and the difference of their squares is 48, what is the product of the two inte
by M7MBA »
If the sum of two positive integers is 24 and the difference of their...
0
Last post by M7MBA
Fri May 07, 2021 7:29 am
The monthly sales (in thousands of $) at a certain restaurant for the past two years are given in the chart below: by BTGmoderatorLU » Source: Manhattan Prep The monthly sales (in thousands of$) at a...
0
Last post by BTGmoderatorLU
Thu May 06, 2021 5:33 pm
In a certain game of archery the points in each round for the first, second, third and fourth position were 7, 5, 3, 2.
by BTGmoderatorLU »
Source: Manhattan Prep In a certain game of archery the points in...
0
Last post by BTGmoderatorLU
Thu May 06, 2021 5:24 pm
If x, y, P, and Q are positive integers such that x + y = P and $$x^2=\dfrac{Q^2}{Y^2},$$ then
by AAPL »
E-GMAT If x, y, P, and Q are positive integers such that x + y = P...
0
Last post by AAPL
Thu May 06, 2021 4:21 am
Que: Mandy sold 600 apples in 10 days. If the number of apples she sold increased by 4 each day.....
by [email protected] Revolution »
Que: Mandy sold 600 apples in 10 days. If the number of apples she...
1
Last post by [email protected] Revolution
Wed May 05, 2021 9:25 pm
A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters. What is the length, in meters, of the longest,
by BTGmoderatorDC »
A wooden crate has inside dimensions 3 meters by 4 meters by 12...
1
Last post by swerve
Wed May 05, 2021 6:22 pm
The arithmetic mean and standard deviation of a certain normal distribution are 13.5 and 1.5, respectively. What value
by M7MBA »
The arithmetic mean and standard deviation of a certain normal...
1
Last post by [email protected]
Wed May 05, 2021 6:51 am
If each term in the sum $$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
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