## Problem Solving

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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 $$120\%$$...
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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...
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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...
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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...
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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...
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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 $$6$$...
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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...
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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$$ is
by Vincen »
The potential energy of a spring is given by the equation...
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Last post by Vincen
Thu Oct 14, 2021 3:21 am
Let $$abcd$$ be a general four-digit number. How many odd four-digits numbers $$abcd$$ exist such that the four digits
by Vincen »
Let $$abcd$$ be a general four-digit number. How many odd four-digits...
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Last post by Vincen
Thu Oct 14, 2021 3:11 am
$$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,$$ what is...
0
Last post by Vincen
Thu Oct 14, 2021 3:07 am
If r is divisible by 10 and s is divisible by 9, rs must have at least how many factors?
by BTGmoderatorDC »
If r is divisible by 10 and s is divisible by 9, rs must have at...
1
Last post by swerve
Thu Oct 14, 2021 3:05 am
A wedding decorator receives two sets of light bulbs- $$A$$ and $$B.$$ Set $$A$$ consists of $$100$$ light bulbs of
by Vincen »
A wedding decorator receives two sets of light bulbs- $$A$$ and...
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Last post by Vincen
Thu Oct 14, 2021 3:03 am
If $$w$$ is a prime number greater than $$3,$$ and $$z = 36w,$$ what is the least common multiple of $$z$$ and $$6w,$$
by Vincen »
If $$w$$ is a prime number greater than $$3,$$ and $$z = 36w,$$ what...
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Last post by Vincen
Thu Oct 14, 2021 2:58 am
A cheese factory sells its cheese in rectangular blocks. A normal block has a volume of three cubic feet. If a large
by Vincen »
A cheese factory sells its cheese in rectangular blocks. A normal...
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Last post by Vincen
Thu Oct 14, 2021 2:53 am
Connie paid a sales tax of 8 percent on her purchase. If the sales tax had been only 5 percent, she would have paid \$12
by BTGmoderatorLU »
Source: GMAT Prep Connie paid a sales tax of 8 percent on her...
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Last post by BTGmoderatorLU
Tue Oct 12, 2021 8:42 am
What is the probability of getting three heads in a row and then a tail on four flips of a coin?
by AAPL »
Veritas Prep What is the probability of getting three heads in a row...
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Last post by AAPL
Mon Oct 11, 2021 9:42 am
If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability
by BTGmoderatorDC »
If a coin has an equal probability of landing heads up or tails up...
0
Last post by BTGmoderatorDC
Sun Oct 10, 2021 9:36 pm
Line Q passes through (s,0) and (0,s) for some number s, where s isn't equal to 0. What is the slope of line Q?
by BTGmoderatorLU »
Source: Magoosh Line Q passes through (s,0), and (0,s) for some...
1 Last post by [email protected]
Sun Oct 10, 2021 1:07 pm
Two coal carts, A and B, started simultaneously from opposite ends of a 400-yard track. Cart A traveled at a constant
by BTGmoderatorDC »
Two coal carts, A and B, started simultaneously from opposite ends of...
1 Last post by [email protected]
Sun Oct 10, 2021 5:42 am
What is $$\dfrac1{1\cdot 2}+\dfrac1{2\cdot 3}+\dfrac1{3\cdot 4}+\dfrac1{4\cdot 5}+\dfrac1{5\cdot 6}+\dfrac1{6\cdot 7}+$$
by Vincen »
What is $$\dfrac1{1\cdot 2}+\dfrac1{2\cdot 3}+\dfrac1{3\cdot... 1 Last post by regor60 Sun Oct 10, 2021 5:06 am Which of the following inequalities represents the entire solution set for x if |x| > x? by BTGmoderatorDC » Which of the following inequalities represents the entire solution... 1 Last post by [email protected] Sat Oct 09, 2021 12:59 pm A bar of gold with dimensions 12 inches by 18 inches by 15 inches is melted down and re-formed into a bar of different by AAPL » Princeton Review A bar of gold with dimensions 12 inches by 18... 0 Last post by AAPL Sat Oct 09, 2021 5:50 am \(7$$ people, $$A, B, C, D, E, F,$$ and $$G,$$ go to a movie and sit next to each other in $$7$$ adjacent seats in the
by VJesus12 »
$$7$$ people, $$A, B, C, D, E, F,$$ and $$G,$$ go to a movie and sit...
1
Last post by regor60
Thu Oct 07, 2021 8:08 am
What is the surface area of the solid right circular cylinder with a height of $$10$$ above?
by M7MBA »
Cylinder.png What is the surface area of the solid right circular...
1 Last post by [email protected]
Thu Oct 07, 2021 5:42 am
If $$x$$ and $$y$$ are positive odd integers, then which of the following must also be an odd integer?
by M7MBA »
If $$x$$ and $$y$$ are positive odd integers, then which of the...
0
Last post by M7MBA
Thu Oct 07, 2021 3:19 am
A game is played with a six-sided, regularly numbered fair die. A player starts with a number equal to $$0.1n,$$ where
by M7MBA »
A game is played with a six-sided, regularly numbered fair die. A...
0
Last post by M7MBA
Thu Oct 07, 2021 3:09 am
In the figure above, $$AC = BC = 8,$$ $$\angle C = 90^{\circ},$$ and the circular arc has its center at point $$C.$$
by M7MBA »
gm-tuaaof_img1.png In the figure above, $$AC = BC = 8,$$ $$\angle C... 0 Last post by M7MBA Thu Oct 07, 2021 3:06 am A certain store sells only black shoes and brown shoes. In a certain week, the store sold \(x$$ black shoes and $$y$$
by M7MBA »
A certain store sells only black shoes and brown shoes. In a certain...
0
Last post by M7MBA
Thu Oct 07, 2021 3:01 am
What is the largest integer $$n$$ such that $$\dfrac1{2^n}>0.01?$$
by M7MBA »
What is the largest integer $$n$$ such that $$\dfrac1{2^n}>0.01?$$...
0
Last post by M7MBA
Thu Oct 07, 2021 2:57 am
To the nearest integer, the non-negative fourth root of integer $$n$$ rounds to $$3.$$ Inclusive, $$n$$ is between
by M7MBA »
To the nearest integer, the non-negative fourth root of integer $$n$$...
0
Last post by M7MBA
Thu Oct 07, 2021 2:49 am
If a number is to be randomly selected from set $$A$$ above and a number is to be randomly selected from set $$B$$ above
by M7MBA »
$$A = \{-10, -9, -8, -7, -6, -5, -4\}$$ $$B = \left\{-\dfrac12,... 0 Last post by M7MBA Thu Oct 07, 2021 2:42 am If \(ABCD$$ is a square with an area of $$625,$$ and $$CEFD$$ is a rhombus with an area of $$500,$$ then the area of the
by M7MBA »
rumbs.JPG If $$ABCD$$ is a square with an area of $$625,$$ and...
0
Last post by M7MBA
Thu Oct 07, 2021 2:38 am
A store sells a certain product at a fixed price per unit. At the product's current price, $$q$$ units cost a total of
by M7MBA »
A store sells a certain product at a fixed price per unit. At the...
0
Last post by M7MBA
Thu Oct 07, 2021 2:30 am
Solution $$X$$ contains only ingredients $$a$$ and $$b$$ in a ratio of $$2:3.$$ Solution $$Y$$ contains only ingredients
by VJesus12 »
Solution $$X$$ contains only ingredients $$a$$ and $$b$$ in a ratio...
0
Last post by VJesus12
Thu Oct 07, 2021 2:19 am
Of 30 applicants for a job, 14 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience
by VJesus12 »
Of 30 applicants for a job, 14 had at least 4 years' experience, 18...
0
Last post by VJesus12
Thu Oct 07, 2021 2:10 am
If every boy in a kindergarten class buys a soda and every girl in the same class buys a juice box, the class will spend
by VJesus12 »
If every boy in a kindergarten class buys a soda and every girl in...
0
Last post by VJesus12
Thu Oct 07, 2021 2:06 am
Chris’s convertible gets the gas mileage that is 40 percent higher than that of Stan’s SUV. If Harry’s hatchback gets
by VJesus12 »
Chris’s convertible gets the gas mileage that is 40 percent higher...
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Last post by VJesus12
Thu Oct 07, 2021 1:59 am
What is the remainder when $$10^{49}+2$$ is divided by $$11?$$
by VJesus12 »
What is the remainder when $$10^{49}+2$$ is divided by $$11?$$ A. 1...
0
Last post by VJesus12
Thu Oct 07, 2021 1:56 am
A sphere is surrounded by the smallest cylinder that will just contain it. Which of the following is a complete set of
by Vincen »
A sphere is surrounded by the smallest cylinder that will just...
0
Last post by Vincen
Thu Oct 07, 2021 1:51 am
$$225,$$ or $$15^2,$$ is the first perfect square that begins with two $$2s.$$ What is the sum of the digits of the next
by Vincen »
$$225,$$ or $$15^2,$$ is the first perfect square that begins with...
0
Last post by Vincen
Thu Oct 07, 2021 1:49 am
For integers a and b, 16a = 32^b. Which of the following correctly expresses a in terms of b?
by BTGmoderatorDC »
For integers a and b, 16a = 32^b. Which of the following correctly...
0
Last post by BTGmoderatorDC
Wed Oct 06, 2021 6:18 pm
It would take one machine $$4$$ hours to complete a large production order and another machine $$3$$ hours to complete
by Vincen »
It would take one machine $$4$$ hours to complete a large production...
1 Last post by [email protected]
Wed Oct 06, 2021 12:00 pm
Lois has $$x$$ dollars more than Jim has, and together they have a total of $$y$$ dollars. Which of the following repres
by Vincen »
Lois has $$x$$ dollars more than Jim has, and together they have a...
1 Last post by [email protected]
Wed Oct 06, 2021 11:57 am
Which of the following represent positive numbers?
by BTGmoderatorLU »
Source: Official Guide Which of the following represent positive...
1 Last post by [email protected]
Wed Oct 06, 2021 11:56 am
A sphere is inscribed in a cube with an edge of $$x$$ centimeters. In terms of $$x$$ what is the shortest possible dista
by Vincen »
A sphere is inscribed in a cube with an edge of $$x$$ centimeters. In...
0
Last post by Vincen
Wed Oct 06, 2021 7:20 am
If $$x$$ and $$y$$ are different integers and $$x^2=xy$$ which of the following must be true?
by Vincen »
If $$x$$ and $$y$$ are different integers and $$x^2=xy$$ which of the...
0
Last post by Vincen
Wed Oct 06, 2021 7:14 am
In a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. If
by Vincen »
In a certain brick wall, each row of bricks above the bottom row...
0
Last post by Vincen
Wed Oct 06, 2021 7:13 am
Which of the following inequalities is equivalent to $$|m+2|<3?$$
by Vincen »
Which of the following inequalities is equivalent to $$|m+2|<3?$$...
0
Last post by Vincen
Wed Oct 06, 2021 7:12 am
A vending machine randomly dispenses four different types of fruit candy. There are twice as many apple candies as orang
by Vincen »
A vending machine randomly dispenses four different types of fruit...
0
Last post by Vincen
Wed Oct 06, 2021 7:10 am