## 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 $$10^{50}-74$$ 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
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...
0
Last post by BTGmoderatorDC
Thu Sep 16, 2021 3:59 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
If $$a$$ and $$b$$ are both positive integers such that $$a < b,$$ which of the following must be true?
by Vincen »
If $$a$$ and $$b$$ are both positive integers such that $$a < b,$$...
0
Last post by Vincen
Wed Sep 15, 2021 9:10 am
$$y-13\sqrt{y}+36=0$$
by Vincen »
$$y-13\sqrt{y}+36=0$$ A) $$(2,3)$$ B) $$(\pm 2,\pm 3)$$ C) $$(4,9)$$...
0
Last post by Vincen
Wed Sep 15, 2021 8:49 am
$$60\%$$ of all students in a class commute by public transportation. If $$30\%$$ of the students aspire to be scientist
by Vincen »
$$60\%$$ of all students in a class commute by public transportation....
0
Last post by Vincen
Wed Sep 15, 2021 8:45 am
If x is an integer and y = 3x + 2, which of the following CANNOT be a divisor of y?
by AAPL »
GMAT Paper Tests If x is an integer and y = 3x + 2, which of the...
1
Last post by [email protected]
Wed Sep 15, 2021 5:37 am
A = {2, 3, 4, 5} B = {4, 5, 6, 7, 8} Two integers will be randomly selected from the sets above, one integer from set A
by BTGmoderatorDC »
A = {2, 3, 4, 5} B = {4, 5, 6, 7, 8} Two integers will be randomly...
1
Last post by [email protected]
Wed Sep 15, 2021 5:36 am
If integer C is randomly selected from 20 to 99, inclusive. What is the probability that C^3 - C is divisible by 12 ?
by BTGmoderatorDC »
If integer C is randomly selected from 20 to 99, inclusive. What is...
1
Last post by swerve
Tue Sep 14, 2021 7:00 am
An investor purchased 100 shares of stock X at 6 1/8 dollars per share and sold them all a year later at 24 dollars per
by BTGmoderatorDC »
An investor purchased 100 shares of stock X at 6 1/8 dollars per...
1
Last post by swerve
Tue Sep 14, 2021 6:52 am
In the figure above, if x/(x+y)= 3/8, then x =
by BTGmoderatorLU »
Source: Official Guide Untitled(3).png In the figure above, if...
1
Last post by [email protected]
Tue Sep 14, 2021 5:12 am
The price of a pair of sneakers was $80 for the last six months of last year. On January first, the price increased 20%. by AAPL » Magoosh The price of a pair of sneakers was$80 for the last six...
0
Last post by AAPL
Mon Sep 13, 2021 5:05 am
Of the 84 parents who attended a meeting at a school, 35 volunteered to supervise children during the school picnic and
by Gmat_mission »
Of the 84 parents who attended a meeting at a school, 35 volunteered...
1
Last post by [email protected]
Sun Sep 12, 2021 12:23 pm
At a certain fruit stand, the price of each apple is 40 cents and the price of each orange is 60 cents. Mary selects a
by Gmat_mission »
At a certain fruit stand, the price of each apple is 40 cents and the...
1
Last post by [email protected]
Sun Sep 12, 2021 12:22 pm
What is the sum of all possible solutions of the equation $$|x + 4|^2 - 10|x + 4| = 24?$$
by Gmat_mission »
What is the sum of all possible solutions of the equation $$|x + 4|^2... 1 Last post by [email protected] Sun Sep 12, 2021 12:20 pm At the end of year \(X,$$ automobile installment credit accounted for $$36\%$$ of all outstanding consumer installment
by Gmat_mission »
At the end of year $$X,$$ automobile installment credit accounted for...
1
Last post by [email protected]
Sun Sep 12, 2021 12:19 pm
When positive integer $$x$$ is divided by positive integer $$y,$$ the remainder is 9. If $$x/y = 96.12,$$ what is...
by Gmat_mission »
When positive integer $$x$$ is divided by positive integer $$y,$$ the...
1
Last post by [email protected]
Sun Sep 12, 2021 12:18 pm
Bill has a set of 6 black cards and a set of 6 red cards. Each card has a number from 1 through 6, such that each of....
by Gmat_mission »
Bill has a set of 6 black cards and a set of 6 red cards. Each card...
1
Last post by [email protected]
Sun Sep 12, 2021 12:17 pm
It takes Carlos 9 minutes to drive from home to work at an average rate of 22 miles per hour. How many minutes will it
by Gmat_mission »
It takes Carlos 9 minutes to drive from home to work at an average...
1
Last post by [email protected]
Sun Sep 12, 2021 12:10 pm
A school has received $$60\%$$ of the amount it needs for a new building by receiving a donation of $$\400$$ each...
by Gmat_mission »
A school has received $$60\%$$ of the amount it needs for a new...
0
Last post by Gmat_mission
Sun Sep 12, 2021 9:22 am
For each student in a certain class, a teacher adjusted the student’s test score using the formula $$y = 0.8x + 20$$
by Gmat_mission »
For each student in a certain class, a teacher adjusted the...
0
Last post by Gmat_mission
Sun Sep 12, 2021 9:15 am
Marty has a coin collection, which consists of only New World and Old World coins, in a ratio of 3:1. Marty’s friend
by Gmat_mission »
Marty has a coin collection, which consists of only New World and Old...
0
Last post by Gmat_mission
Sun Sep 12, 2021 9:03 am
Working alone at its own constant rate, a machine seals $$k$$ cartons in $$8$$ hours, and working alone at its own const
by Gmat_mission »
Working alone at its own constant rate, a machine seals $$k$$ cartons...
0
Last post by Gmat_mission
Sun Sep 12, 2021 8:54 am
If the positive integer $$x$$ is a multiple of $$4$$ and the positive integer $$y$$ is a multiple of $$6,$$ then $$xy$$
by Gmat_mission »
If the positive integer $$x$$ is a multiple of $$4$$ and the positive...
0
Last post by Gmat_mission
Sun Sep 12, 2021 8:50 am
A string of $$5$$ different colored light bulbs is wired in such a way that if any two-consecutive light bulb fails, the
by Gmat_mission »
A string of $$5$$ different colored light bulbs is wired in such a...
0
Last post by Gmat_mission
Sun Sep 12, 2021 8:41 am
A couple decides to have $$5$$ children. Each child is equally likely to be a boy or a girl. What is the probability tha
by Gmat_mission »
A couple decides to have $$5$$ children. Each child is equally likely...
0
Last post by Gmat_mission
Sun Sep 12, 2021 8:31 am
In the figure above, the triangle $$ABC$$ is inscribed in a semicircle, with center $$O.$$ If $$CÔA = 120^{\circ}$$ and
by Gmat_mission »
gmat_question.png In the figure above, the triangle $$ABC$$ is...
0
Last post by Gmat_mission
Sun Sep 12, 2021 8:24 am
If $$t=-5k,$$ what is $$t^2-2t$$ in terms of $$k?$$
by Gmat_mission »
If $$t=-5k,$$ what is $$t^2-2t$$ in terms of $$k?$$ (A) $$25k^2+10k$$...
0
Last post by Gmat_mission
Sun Sep 12, 2021 8:18 am
In a certain mixture consisting of sugar and cinnamon, the ratio of the number of ounces of sugar to the number of ounce
by Gmat_mission »
In a certain mixture consisting of sugar and cinnamon, the ratio of...
0
Last post by Gmat_mission
Sun Sep 12, 2021 8:12 am
Peter invests $100,000 in an account that pays 12% annual interest: the interest is paid once, at the end of the year. by Gmat_mission » Peter invests$100,000 in an account that pays 12% annual interest:...
0
Last post by Gmat_mission
Sun Sep 12, 2021 8:10 am
For any positive integer $$n,$$ the length of $$n$$ is defined as the number of prime factors whose product is $$n.$$
by M7MBA »
For any positive integer $$n,$$ the length of $$n$$ is defined as the...
1
Last post by [email protected]
Sun Sep 12, 2021 8:10 am
A small business invests $9,900 in equipment to produce a product. Each unit of the product costs$0.65 to produce and
by M7MBA »
A small business invests \$9,900 in equipment to produce a product....
1
Last post by [email protected]
Sun Sep 12, 2021 8:08 am
If $$[n]$$ denotes the least integer greater than or equal to $$n$$ and $$\left[\dfrac{n}2 - \dfrac{n}3\right]= -1$$ whi
by Gmat_mission »
If  denotes the least integer greater than or equal to $$n$$ and...
0
Last post by Gmat_mission
Sun Sep 12, 2021 8:06 am