## 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
Each week, a clothing salesperson receives a commission equal to 15 percent of the first $500 in sales and 20 percent of by BTGmoderatorDC » Each week, a clothing salesperson receives a commission equal to 15... 0 Last post by BTGmoderatorDC Wed Sep 22, 2021 7:13 pm Geometry by swerve » 2019-04-27_0141.png In the floor plan of an executive's beach house... 0 Last post by swerve Wed Sep 22, 2021 8:16 am GMAT by mar96 » What number should replace the question mark in the below table? 4X... 0 Last post by mar96 Wed Sep 22, 2021 12:19 am A cash register in a certain clothing store is at the same distance from two dressing rooms in the store. The distance by BTGmoderatorDC » A cash register in a certain clothing store is at the same distance... 0 Last post by BTGmoderatorDC Tue Sep 21, 2021 5:36 pm A company plans to assign identification numbers to its employees. Each number is to consist of four different digits by BTGmoderatorLU » Source: GMAT Prep A company plans to assign identification numbers... 0 Last post by BTGmoderatorLU Tue Sep 21, 2021 10:01 am A company plans to assign identification numbers to its employees. Each number is to consist of four different digits by BTGmoderatorLU » Source: GMAT Prep A company plans to assign identification numbers... 0 Last post by BTGmoderatorLU Tue Sep 21, 2021 10:01 am Let abcd be a general four-digit number. How many odd four-digits numbers abcd exist such that the four digits are all by AAPL » Magoosh Let abcd be a general four-digit number. How many odd... 0 Last post by AAPL Mon Sep 20, 2021 9:50 am Portia purchased a laptop for$480, but after checking the merchant's website realized that she had been overcharged by
by BTGmoderatorDC »
Portia purchased a laptop for \$480, but after checking the merchant's...
0
Last post by BTGmoderatorDC
Sun Sep 19, 2021 8:04 pm
A certain movie star's salary for each film she makes consists of a fixed amount, along with a percentage of the gross
by Gmat_mission »
A certain movie star's salary for each film she makes consists of a...
1
Last post by [email protected]
Sun Sep 19, 2021 2:15 pm
There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played
by Gmat_mission »
There are 8 teams in a certain league and each team plays each of the...
1
Last post by [email protected]
Sun Sep 19, 2021 2:14 pm
10 business executives and 7 chairmen meet at a conference. If each business executive shakes the hand of every other
by Gmat_mission »
10 business executives and 7 chairmen meet at a conference. If each...
0
Last post by Gmat_mission
Sun Sep 19, 2021 1:00 pm
A bus made a roundtrip journey from Madison towards Chicago, which is 240 km away. In the onward journey, the bus divide
by Gmat_mission »
A bus made a roundtrip journey from Madison towards Chicago, which is...
0
Last post by Gmat_mission
Sun Sep 19, 2021 12:42 pm
If $$x < y,$$ which of the following must be true?
by Gmat_mission »
If $$x < y,$$ which of the following must be true? (A) $$x <... 0 Last post by Gmat_mission Sun Sep 19, 2021 12:39 pm Committee \(X$$ has $$4$$ members, committee $$Y$$ has $$5$$ members, and these committees have no members in common. If
by Gmat_mission »
Committee $$X$$ has $$4$$ members, committee $$Y$$ has $$5$$ members,...
0
Last post by Gmat_mission
Sun Sep 19, 2021 12:22 pm
Clarissa will create her summer reading list by randomly choosing 4 books from the 10 books approved for summer reading.
by M7MBA »
Clarissa will create her summer reading list by randomly choosing 4...
1
Last post by [email protected]
Sun Sep 19, 2021 12:17 pm
On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which
by M7MBA »
On Saturday morning, Malachi will begin a camping vacation and he...
1
Last post by [email protected]
Sun Sep 19, 2021 12:13 pm
A committee is composed of $$w$$ women and $$m$$ men. If $$3$$ women and $$2$$ men are added to the committee, and if on
by Gmat_mission »
A committee is composed of $$w$$ women and $$m$$ men. If $$3$$ women...
1
Last post by [email protected]
Sun Sep 19, 2021 12:11 pm
Sixty percent of the members of a study group are women, and 45 percent of those women are lawyers. If one member of the
by Gmat_mission »
Sixty percent of the members of a study group are women, and 45...
0
Last post by Gmat_mission
Sun Sep 19, 2021 11:59 am
Quentin put an amount of money into each of two new investments, $$X$$ and $$Y.$$ Investment $$X$$ pays $$x\%$$ simple
by M7MBA »
Quentin put an amount of money into each of two new investments,...
0
Last post by M7MBA
Sun Sep 19, 2021 11:47 am
If $$x$$ is to be chosen at random from the set $$\{1, 2, 3, 4\}$$ and $$y$$ is to be chosen at random from the set
by M7MBA »
If $$x$$ is to be chosen at random from the set $$\{1, 2, 3, 4\}$$...
0
Last post by M7MBA
Sun Sep 19, 2021 11:26 am
If the price of a commodity is directly proportional to $$m^3$$ and inversely proportional to $$q^2,$$ which of the
by M7MBA »
If the price of a commodity is directly proportional to $$m^3$$ and...
0
Last post by M7MBA
Sun Sep 19, 2021 11:22 am
Two dogsled teams raced across a 300 mile course in Wyoming. Team A finished
by BTGmoderatorDC »
Two dogsled teams raced across a 300 mile course in Wyoming. Team A...
1
Last post by regor60
Sun Sep 19, 2021 9:27 am
Each $$\cdot$$ in the mileage table above represents an entry indicating the distance between a pair of the five cities.
by M7MBA »
Table.png Each $$\bullet$$ in the mileage table above represents an...
1
Last post by [email protected]
Sun Sep 19, 2021 5:43 am
In the table above, what is the least number of table entries that are needed to show the mileage between each city and
by M7MBA »
Untitled (1).png In the table above, what is the least number of...
0
Last post by M7MBA
Sun Sep 19, 2021 12:53 am
How many two-element subsets of $$\{1,2,3,4\}$$ are there that do not contain the pair of elements $$2$$ and $$4?$$
by M7MBA »
How many two-element subsets of $$\{1,2,3,4\}$$ are there that do not...
0
Last post by M7MBA
Sun Sep 19, 2021 12:40 am
If a sphere with radius $$r$$ is inscribed in a cube with edges of length $$e,$$ which of the following expresses the
by M7MBA »
If a sphere with radius $$r$$ is inscribed in a cube with edges of...
0
Last post by M7MBA
Sun Sep 19, 2021 12:34 am
For all numbers $$s$$ and $$t,$$ the operation $$*$$ is defined by $$s*t = (s - 1)(t + 1).$$ If $$(-2)*x = -12,$$ then
by VJesus12 »
For all numbers $$s$$ and $$t,$$ the operation $$*$$ is defined by...
0
Last post by VJesus12
Sun Sep 19, 2021 12:14 am
Given that the length of each side of a quadrilateral is a distinct integer and that the longest side is not greater
by VJesus12 »
Given that the length of each side of a quadrilateral is a distinct...
0
Last post by VJesus12
Sun Sep 19, 2021 12:08 am
New cars leave a car factory in a repeating pattern of red, blue, black, and gray cars. If the first car to exit the
by AAPL »
Manhattan Prep New cars leave a car factory in a repeating pattern...
1
Last post by [email protected]
Sat Sep 18, 2021 7:28 am
How many integers between 1 and 10^21 are such that the sum of their digits is 2?
by BTGmoderatorDC »
How many integers between 1 and 10^21 are such that the sum of their...
0
Last post by BTGmoderatorDC
Fri Sep 17, 2021 10:03 pm
An empty bucket being filled with paint at a constant rate takes 6 minutes to be filled to 7/10 of its capacity. How
by BTGmoderatorDC »
An empty bucket being filled with paint at a constant rate takes 6...
1
Last post by swerve
Fri Sep 17, 2021 9:34 am
If $$10^{50}-74$$ is written as an integer in base $$10$$ notation, what is the sum of the digits in that integer?
by VJesus12 »
If $$10^{50}-74$$ is written as an integer in base $$10$$ notation,...
1
Last post by [email protected]
Fri Sep 17, 2021 5:42 am
If vertex P in square PQRS is pinned and square PQRS is rotated about vertex P, what is the number of degrees the square
by BTGmoderatorLU »
Source: Economist If vertex P in square PQRS is pinned and square...
0
Last post by BTGmoderatorLU
Thu Sep 16, 2021 5:31 pm
In Plutarch Enterprises, $$70\%$$ of the employees are marketers, $$20\%$$ are engineers, and the rest are managers.
by VJesus12 »
In Plutarch Enterprises, $$70\%$$ of the employees are marketers,...
1
Last post by [email protected]
Thu Sep 16, 2021 3:22 pm
A scientist has $$400$$ units of a $$6\%$$ phosphoric acid solution and an unlimited supply of $$12\%$$ phosphoric acid
by VJesus12 »
A scientist has $$400$$ units of a $$6\%$$ phosphoric acid solution...
1
Last post by [email protected]
Thu Sep 16, 2021 3:22 pm
Rabia must earn an average (arithmetic mean) score of $$S$$ percent to pass her physics course. If her average score on
by VJesus12 »
Rabia must earn an average (arithmetic mean) score of $$S$$ percent...
1
Last post by [email protected]
Thu Sep 16, 2021 3:21 pm
If the numbers $$\dfrac{17}{24}, \dfrac12, \dfrac38, \dfrac34,$$ and $$\dfrac9{16}$$ were ordered from greatest to least
by VJesus12 »
If the numbers $$\dfrac{17}{24}, \dfrac12, \dfrac38, \dfrac34,$$ and...
0
Last post by VJesus12
Thu Sep 16, 2021 11:55 am
If $$b < 2$$ and $$2x - 3b = 0,$$ which of the following must be true?
by VJesus12 »
If $$b < 2$$ and $$2x - 3b = 0,$$ which of the following must be...
0
Last post by VJesus12
Thu Sep 16, 2021 11:50 am
A bar above a digit in a decimal indicates an infinitely repeating decimal. $$333, 333.\bar{3}\cdot (10^{-3}-10^{-5})=$$
by VJesus12 »
A bar above a digit in a decimal indicates an infinitely repeating...
0
Last post by VJesus12
Thu Sep 16, 2021 11:46 am
Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. If the number of
by VJesus12 »
Of the votes cast on a certain proposal, 80 more were in favor of the...
0
Last post by VJesus12
Thu Sep 16, 2021 11:40 am
The integer $$120$$ has many factorizations. For example, $$120=(2)(60), 120=(3)(4)(10),$$ and $$120=(-1)(-3)(4)(10).$$
by VJesus12 »
The integer $$120$$ has many factorizations. For example,...
0
Last post by VJesus12
Thu Sep 16, 2021 11:36 am
A soccer team played $$25\%$$ more matches year on year in the second year of its formation. It won $$84\%$$ of the matc
by VJesus12 »
A soccer team played $$25\%$$ more matches year on year in the second...
0
Last post by VJesus12
Thu Sep 16, 2021 11:32 am
The figure shown above represents a modern painting that consists of four differently colored rectangles, each of which
by VJesus12 »
2015-10-19_0007.png The figure shown above represents a modern...
0
Last post by VJesus12
Thu Sep 16, 2021 11:28 am
A $$\500$$ investment and a $$\1,500$$ investment have a combined yearly return of $$8.5$$ percent of the total of the
by VJesus12 »
A $$\500$$ investment and a $$\1,500$$ investment have a combined...
0
Last post by VJesus12
Thu Sep 16, 2021 11:23 am
Maria bought $$4$$ black and a certain number of red and blue pencils at $$15$$ cents each and carried them home in one
by VJesus12 »
Maria bought $$4$$ black and a certain number of red and blue pencils...
0
Last post by VJesus12
Thu Sep 16, 2021 11:20 am
Two circles share a center at point C, as shown above. Segment AC is broken up into two shorter segments, AB and BC,
by AAPL »
Manhattan Prep circle areas.png Two circles share a center at point...
0
Last post by AAPL
Thu Sep 16, 2021 8:04 am
Which of the following lines is perpendicular to $$4x + 5y = 9$$ on the $$xy$$ plane?
by Vincen »
Which of the following lines is perpendicular to $$4x + 5y = 9$$ on...
1
Last post by swerve
Wed Sep 15, 2021 2:51 pm
Pam and Stanley packed several boxes with reams of paper. While both packed, Pam packed 60% of the boxes. After Pam stop
by Vincen »
Pam and Stanley packed several boxes with reams of paper. While both...
1
Last post by [email protected]
Wed Sep 15, 2021 1:36 pm
There are 8 job applicants sitting in a waiting room, 4 women and 4 men. If 2 of the applicants are selected at random,
by BTGmoderatorLU »
Source: Princeton Review There are 8 job applicants sitting in a...
1
Last post by [email protected]
Wed Sep 15, 2021 1:35 pm