## 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
Liam is pulled over for speeding just as he is arriving at work. He explains to the police officer that he could not
by BTGmoderatorDC »
Liam is pulled over for speeding just as he is arriving at work.He...
0
Last post by BTGmoderatorDC
Thu Oct 21, 2021 6:05 pm
Liam is pulled over for speeding just as he is arriving at work.He explains to the police officer that he could not
by BTGmoderatorDC »
Liam is pulled over for speeding just as he is arriving at work.He...
0
Last post by BTGmoderatorDC
Thu Oct 21, 2021 6:04 pm
Rectangle ABCD is constructed in the coordinate plane parallel
by BTGModeratorVI »
Rectangle ABCD is constructed in the coordinate plane parallel to the...
2
Last post by swerve
Thu Oct 21, 2021 2:25 pm
Triplets Adam, Bruce, and Charlie enter a triathlon. If there are 9 competitors in the triathlon, and medals are awarded
by BTGmoderatorDC »
Triplets Adam, Bruce, and Charlie enter a triathlon. If there are 9...
1
Last post by [email protected]
Thu Oct 21, 2021 9:37 am
A device calculates the worth of gem stones based on quality such that a gem with a quality rating of q - 1 is worth 5
by BTGmoderatorLU »
Source: Princeton Review A device calculates the worth of gem stones...
1
Last post by rk_gmat
Wed Oct 20, 2021 1:35 pm
x is a single-digit positive integer. If the units digit of x^2 and the units digit of (x+2)^3 is same. How many values
by BTGmoderatorDC »
x is a single-digit positive integer. If the units digit of x^2 and...
0
Last post by BTGmoderatorDC
Mon Oct 18, 2021 7:16 pm
The United States mint produces coins in 1-cent, 5-cent, 10-cent, 25-cent, and 50-cent denominations. If a jar contains
by VJesus12 »
The United States mint produces coins in 1-cent, 5-cent, 10-cent,...
2
Last post by FDVAFAVSD
Mon Oct 18, 2021 3:02 pm
The line shown passes through the point (A,30). Which of the following is closest to the value of A?
by AAPL »
Magoosh ppocg_img1.png The line shown passes through the point...
0
Last post by AAPL
Mon Oct 18, 2021 11:29 am
A machine, working at a constant rate, manufactures 36 staplers in 28 minutes. How many staplers does it make in 1 hr 45
by Gmat_mission »
A machine, working at a constant rate, manufactures 36 staplers in 28...
1
Last post by [email protected]
Sun Oct 17, 2021 5:33 am
To determine her state income tax last year, Elena computed $$5$$ percent of her gross income, rounded the resulting
by Gmat_mission »
To determine her state income tax last year, Elena computed $$5$$...
1
Last post by [email protected]
Sun Oct 17, 2021 5:31 am
A small water pump would take $$2$$ hours to fill an empty tank. A larger pump would take $$\dfrac12$$ hour to fill the
by Gmat_mission »
A small water pump would take $$2$$ hours to fill an empty tank. A...
0
Last post by Gmat_mission
Sun Oct 17, 2021 12:10 am
At the beginning of $$2011,$$ Albert invests $$\15,000$$ at $$10\%$$ simple annual interest, $$\6,000$$ at $$7\%$$
by Gmat_mission »
At the beginning of $$2011,$$ Albert invests $$\15,000$$ at $$10\%$$...
0
Last post by Gmat_mission
Sun Oct 17, 2021 12:04 am
All the cars in the lot of a particular dealership have either a manual transmission or an automatic transmission, and
by Gmat_mission »
All the cars in the lot of a particular dealership have either a...
0
Last post by Gmat_mission
Sun Oct 17, 2021 12:00 am
A container consists of x liters of milk. The milk in the container is adulterated by adding water equal to 50 percent
by Gmat_mission »
A container consists of x liters of milk. The milk in the container...
0
Last post by Gmat_mission
Sat Oct 16, 2021 11:58 pm
A cargo container that is 120 feet long, 40 feet wide, and 30 feet tall is to be filled to maximum capacity with identic
by Gmat_mission »
A cargo container that is 120 feet long, 40 feet wide, and 30 feet...
0
Last post by Gmat_mission
Sat Oct 16, 2021 11:48 pm
In a city where all streets run east-to-west, all avenues run north-to-south, and all intersections are right angles as
by Gmat_mission »
Street_Map.png In a city where all streets run east-to-west, all...
0
Last post by Gmat_mission
Sat Oct 16, 2021 11:44 pm
For which of the following functions does $$f(x)=f(2-x)?$$
by Gmat_mission »
For which of the following functions does $$f(x)=f(2-x)?$$ A....
0
Last post by Gmat_mission
Sat Oct 16, 2021 11:41 pm
If x^4 + x^(-4) = 7, what is the value of x^8 + x^(-8) =?
by BTGmoderatorDC »
If x^4 + x^(-4) = 7, what is the value of x^8 + x^(-8) =? A. 14 B. 21...
0
Last post by BTGmoderatorDC
Sat Oct 16, 2021 5:55 pm
At a certain industrial manufacturer, an open tank contains $$6\%$$ fluorine dissolved in water. If the tank holds
by M7MBA »
At a certain industrial manufacturer, an open tank contains $$6\%$$...
0
Last post by M7MBA
Sat Oct 16, 2021 5:57 am
At a constant Rate of flow, it takes $$20$$ minutes to fill a swimming pool if a large hose is used and $$30$$ minutes
by M7MBA »
At a constant Rate of flow, it takes $$20$$ minutes to fill a...
1
Last post by [email protected]
Sat Oct 16, 2021 5:49 am
Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.”
by M7MBA »
Dave has no fashion sense, and will wear any combination of garments...
0
Last post by M7MBA
Sat Oct 16, 2021 5:46 am
In a decreasing sequence of seven consecutive even integers, the sum of the first four integers is 68. What is the produ
by M7MBA »
In a decreasing sequence of seven consecutive even integers, the sum...
0
Last post by M7MBA
Sat Oct 16, 2021 5:39 am
Two integers between $$1$$ and $$100,$$ inclusive, each randomly and independently chosen, are either added or multiplie
by M7MBA »
Two integers between $$1$$ and $$100,$$ inclusive, each randomly and...
0
Last post by M7MBA
Sat Oct 16, 2021 5:34 am
Recently, fuel price has seen a hike of $$20\%.$$ Mr. $$X$$ is planning to buy a new car with better mileage as compared
by M7MBA »
Recently, fuel price has seen a hike of $$20\%.$$ Mr. $$X$$ is...
0
Last post by M7MBA
Sat Oct 16, 2021 5:30 am
If $$3^k+3^k=(3^9)^{3^9}-3^k,$$ then what is the value of $$k?$$
by M7MBA »
If $$3^k+3^k=(3^9)^{3^9}-3^k,$$ then what is the value of $$k?$$ (A)...
0
Last post by M7MBA
Sat Oct 16, 2021 5:17 am
The expression $$x[n]y$$ is defined for positive values of $$x$$ and $$y$$ and for positive integer values of $$n$$ as
by M7MBA »
The expression $$x y$$ is defined for positive values of $$x$$ and...
0
Last post by M7MBA
Sat Oct 16, 2021 5:10 am
If $$y$$ is $$80\%$$ greater than $$x,$$ than $$x$$ is what $$\%$$ less than $$y?$$
by M7MBA »
If $$y$$ is $$80\%$$ greater than $$x,$$ than $$x$$ is what $$\%$$...
0
Last post by M7MBA
Sat Oct 16, 2021 5:06 am
In how many different ways can pennies (1 cent), nickels (5 cents), dimes (10 cents), and quarters (25 cents) be combine
by M7MBA »
In how many different ways can pennies (1 cent), nickels (5 cents),...
0
Last post by M7MBA
Sat Oct 16, 2021 5:02 am
$$600$$ residents were surveyed about whether they liked $$3$$ different candidates running for certain offices in their
by M7MBA »
$$600$$ residents were surveyed about whether they liked $$3$$...
0
Last post by M7MBA
Sat Oct 16, 2021 4:56 am
Which of the following data sets has the third-largest standard deviation?
by VJesus12 »
Which of the following data sets has the third-largest standard...
0
Last post by VJesus12
Sat Oct 16, 2021 4:53 am
In a group of 68 students, each student is registered for at least one of three classes – History, Math and English.
by VJesus12 »
In a group of 68 students, each student is registered for at least...
0
Last post by VJesus12
Sat Oct 16, 2021 4:46 am
A soccer competition consisted of two rounds. In each round, the 20 teams competing were divided randomly into 10 pairs,
by VJesus12 »
A soccer competition consisted of two rounds. In each round, the 20...
0
Last post by VJesus12
Sat Oct 16, 2021 4:36 am
If two distinct integers $$x$$ and $$y$$ are randomly selected from the integers between $$1$$ and $$10,$$ inclusive,
by VJesus12 »
If two distinct integers $$x$$ and $$y$$ are randomly selected from...
0
Last post by VJesus12
Sat Oct 16, 2021 4:32 am
A triathlon consists of three legs: a swim, a bike ride, and a run. A race organizer analyzes the results of a certain
by VJesus12 »
A triathlon consists of three legs: a swim, a bike ride, and a run. A...
0
Last post by VJesus12
Sat Oct 16, 2021 4:17 am
Which of the following equations represents a line parallel to line $$l$$ in the figure above?
by VJesus12 »
4.jpg Which of the following equations represents a line parallel to...
0
Last post by VJesus12
Sat Oct 16, 2021 4:10 am
The table above shows the schedule for the bus routes between three pairs of cities. If Ash plans to travel by bus from
by VJesus12 »
2.jpg The table above shows the schedule for the bus routes between...
0
Last post by VJesus12
Sat Oct 16, 2021 4:06 am
A beaker contains $$100$$ milligrams of a solution of salt and water that is $$x\%$$ salt by weight such that $$x<90.$$
by VJesus12 »
A beaker contains $$100$$ milligrams of a solution of salt and water...
0
Last post by VJesus12
Sat Oct 16, 2021 4:03 am
For how many values of $$x$$ from $$1$$ to $$300,$$ inclusive, is the sum of the integers from $$1$$ to $$x,$$ inclusive
by VJesus12 »
For how many values of $$x$$ from $$1$$ to $$300,$$ inclusive, is the...
0
Last post by VJesus12
Sat Oct 16, 2021 3:56 am
For positive integers, $$a, b,$$ and $$c,$$ $$b$$ is $$120\%$$ greater than $$a,$$ and $$c$$ is $$25\%$$ less than the
by VJesus12 »
For positive integers, $$a, b,$$ and $$c,$$ $$b$$ is $$120\%$$...
0
Last post by VJesus12
Sat Oct 16, 2021 3:50 am
Triangle $$ABC$$ is inscribed in the circle and line segment $$AC$$ passes through the center of the circle. If the leng
by VJesus12 »
manhattan.jpg Triangle $$ABC$$ is inscribed in the circle and line...
0
Last post by VJesus12
Sat Oct 16, 2021 3:45 am
If the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the
by BTGmoderatorDC »
If the perimeter of square region S and the perimeter of rectangular...
0
Last post by BTGmoderatorDC
Fri Oct 15, 2021 9:58 pm
An automotive test consisted of driving a car the same distance three separate times, first at an average rate of 40
by BTGmoderatorDC »
An automotive test consisted of driving a car the same distance three...
0
Last post by BTGmoderatorDC
Thu Oct 14, 2021 6:51 pm
A certain list has an average of 6 and a standard deviation of d (d is positive). Which of the following pairs of data
by BTGmoderatorDC »
A certain list has an average of 6 and a standard deviation of d (d...
0
Last post by BTGmoderatorDC
Thu Oct 14, 2021 5:04 am
Pat has a pocket full of quarters, dimes, and nickels. He takes $$6$$ coins out of his pocket that amount to $$\0.70.$$
by Vincen »
Pat has a pocket full of quarters, dimes, and nickels. He takes $$6$$...
0
Last post by Vincen
Thu Oct 14, 2021 3:35 am
If two projectiles are launched at the same moment from 1320 miles apart and travel directly towards each other at 480
by Vincen »
If two projectiles are launched at the same moment from 1320 miles...
0
Last post by Vincen
Thu Oct 14, 2021 3:31 am
In the diagram above, $$WZ = XZ,$$ and circular arc $$XY$$ has a center at $$W.$$ If a point is selected from anywhere
by Vincen »
right isosceles triangle with sector.JPG In the diagram above, $$WZ... 0 Last post by Vincen Thu Oct 14, 2021 3:26 am The potential energy of a spring is given by the equation \(PE=\dfrac{kx^2}2$$ where $$k$$ is a constant and $$x$$ is
by Vincen »
The potential energy of a spring is given by the equation...
0
Last post by Vincen
Thu Oct 14, 2021 3:21 am
Let $$abcd$$ be a general four-digit number. How many odd four-digits numbers $$abcd$$ exist such that the four digits
by Vincen »
Let $$abcd$$ be a general four-digit number. How many odd four-digits...
0
Last post by Vincen
Thu Oct 14, 2021 3:11 am
$$f(x)=\dfrac{2-x}5$$ and $$g(x)=3x-2.$$ If $$f(g(x))=1,$$ what is the value of $$x?$$
by Vincen »
$$f(x)=\dfrac{2-x}5$$ and $$g(x)=3x-2.$$ If $$f(g(x))=1,$$ what is...
0
Last post by Vincen
Thu Oct 14, 2021 3:07 am