## 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
To graduate, John needs to complete eight courses. Of these eight, he must take only three science courses, only two...
by AAPL »
Magoosh To graduate, John needs to complete eight courses. Of these...
0
Last post by AAPL
Fri Dec 03, 2021 9:39 am
In the figure above, if $$AD$$ is parallel to $$BC,$$ then $$\angle ADC=$$
by Vincen »
1.jpg In the figure above, if $$AD$$ is parallel to $$BC,$$ then...
1
Last post by [email protected]
Fri Dec 03, 2021 7:39 am
There are 27 different three-digit integers that can be formed using only the digits 1, 2 and 3. If all 27 of the
by BTGmoderatorDC »
There are 27 different three-digit integers that can be formed using...
1
Last post by [email protected]
Fri Dec 03, 2021 7:38 am
A school has received 60% of the amount it needs for a new building by receiving a donation of $400 each from people by Vincen » A school has received 60% of the amount it needs for a new building... 1 Last post by [email protected] Fri Dec 03, 2021 7:37 am If n denotes a number to the left of 0 on the number line su by BTGmoderatorAT » If n denotes a number to the left of 0 on the number line such that... 4 Last post by [email protected] Fri Dec 03, 2021 7:36 am At Joe's candy store, the total cost of $$1$$ gumball and $$1$$ lollipop is $$\0.74.$$ The total cost of $$1$$ chocolat by VJesus12 » At Joe's candy store, the total cost of $$1$$ gumball and $$1$$... 2 Last post by [email protected] Fri Dec 03, 2021 7:34 am If $$[x]$$ denotes the least integer greater than or equal to $$x$$ and $$[x] = 0,$$ which of the following statements by Vincen » If  denotes the least integer greater than or equal to $$x$$ and... 2 Last post by swerve Thu Dec 02, 2021 6:17 pm Susie can buy apples from two stores: a supermarket that sells apples only in bundles of 4, and a convenience store that by Vincen » Susie can buy apples from two stores: a supermarket that sells apples... 2 Last post by swerve Thu Dec 02, 2021 6:10 pm If $$[x]$$ denotes the least integer greater than or equal to $$x$$ and $$[x] = 0,$$ which of the following statements by Vincen » If  denotes the least integer greater than or equal to $$x$$ and... 1 Last post by [email protected] Thu Dec 02, 2021 11:04 am If $$x = 1998\cdot 1999\cdot 2000,$$ what is the remainder when $$x$$ is divided by $$7?$$ by Vincen » If $$x = 1998\cdot 1999\cdot 2000,$$ what is the remainder when $$x$$... 0 Last post by Vincen Thu Dec 02, 2021 8:36 am According to a survey, $$70\%$$ of Denver residents drink beer, $$60\%$$ drink wine, and $$54\%$$ drink both beer and by Vincen » According to a survey, $$70\%$$ of Denver residents drink beer,... 0 Last post by Vincen Thu Dec 02, 2021 8:34 am An optometrist charges$150 per pair for soft contact lenses and $85 per pair for hard contact lenses. Last week she by BTGmoderatorLU » Source: Official Guide An optometrist charges$150 per pair for soft...
0
Last post by BTGmoderatorLU
Thu Dec 02, 2021 8:19 am
Q. A and B can complete a task in 20 days. B and C can complete the same task in 30 days. If A and C can complete the
by BTGmoderatorDC »
Q. A and B can complete a task in 20 days. B and C can complete the...
0
Last post by BTGmoderatorDC
Thu Dec 02, 2021 12:19 am
A pump started filling an empty pool with water and continued at a constant rate until the pool was full. At noon the po
by Gmat_mission »
A pump started filling an empty pool with water and continued at a...
1
Last post by [email protected]
Wed Dec 01, 2021 2:41 pm
Jamal gets three monthly credit card statements over the course of three months. If his average monthly statement over
by AAPL »
Manhattan Prep Jamal gets three monthly credit card statements over...
0
Last post by AAPL
Wed Dec 01, 2021 7:58 am
At Joe's candy store, the total cost of $$1$$ gumball and $$1$$ lollipop is $$\0.74.$$ The total cost of $$1$$ chocolat
by Gmat_mission »
At Joe's candy store, the total cost of $$1$$ gumball and $$1$$...
1
Last post by [email protected]
Wed Dec 01, 2021 7:09 am
A shopkeeper offers two successive discounts of $$20\%$$ each on a sweater and still makes a profit of $$60\%.$$ By what
by VJesus12 »
A shopkeeper offers two successive discounts of $$20\%$$ each on a...
1
Last post by Ian Stewart
Wed Dec 01, 2021 5:07 am
During a clearance sale, a retailer discounted the original price of its TVs by $$25\%$$ for the first two weeks of the
by VJesus12 »
During a clearance sale, a retailer discounted the original price of...
1
Last post by Ian Stewart
Wed Dec 01, 2021 5:03 am
What is the value of $$5+4\cdot 5+4\cdot 5^2+4\cdot 5^3+4\cdot 5^4+4\cdot 5^5?$$
by Gmat_mission »
What is the value of $$5+4\cdot 5+4\cdot 5^2+4\cdot 5^3+4\cdot... 2 Last post by Ian Stewart Wed Dec 01, 2021 5:00 am If x is a non-negative integer and |6 - |x + 2|| = 10, then find the number of values of x that satisfy the given by BTGmoderatorDC » If x is a non-negative integer and |6 - |x + 2|| = 10, then find the... 0 Last post by BTGmoderatorDC Tue Nov 30, 2021 7:09 pm If m is the product of all integers from 1 to 40, inclusive, what is the greatest integer p for which by BTGmoderatorDC » If m is the product of all integers from 1 to 40, inclusive, what is... 0 Last post by BTGmoderatorDC Tue Nov 30, 2021 4:47 am In a bag, there are five 6-sided dice (numbered 1 to 6), three 12-sided dice (numbered 1 to 12), and two 20-sided dice by Gmat_mission » In a bag, there are five 6-sided dice (numbered 1 to 6), three... 0 Last post by Gmat_mission Sun Nov 28, 2021 7:53 am The size of a square computer screen is measured by the length of its diagonal. How much bigger is the visible area of by Gmat_mission » The size of a square computer screen is measured by the length of its... 0 Last post by Gmat_mission Sun Nov 28, 2021 7:45 am If a triangle in the \(xy$$-coordinate system has vertices at $$(-2 , -3), (4, -3)$$ and $$(28, 7),$$ what is the area
by Gmat_mission »
If a triangle in the $$xy$$-coordinate system has vertices at $$(-2 ,... 0 Last post by Gmat_mission Sun Nov 28, 2021 7:42 am Ogel Limited sells toys and books only. Its revenues from toys sales in \(2015$$ were up $$12\%$$ from $$2014$$ and reve
by Gmat_mission »
Ogel Limited sells toys and books only. Its revenues from toys sales...
0
Last post by Gmat_mission
Sun Nov 28, 2021 7:36 am
All the employees of Company $$X$$ were appraised at the year-end. $$40\%$$ of the employees got a promotion, $$50\%$$
by Gmat_mission »
All the employees of Company $$X$$ were appraised at the year-end....
0
Last post by Gmat_mission
Sun Nov 28, 2021 7:27 am
A $$k$$-almost prime number is defined as a positive integer with exactly $$k$$ prime factors that are not necessarily
by Gmat_mission »
A $$k$$-almost prime number is defined as a positive integer with...
0
Last post by Gmat_mission
Sun Nov 28, 2021 7:12 am
If $$3u = 5v,$$ then ratio of $$5u$$ to $$v$$ is
by Gmat_mission »
If $$3u = 5v,$$ then ratio of $$5u$$ to $$v$$ is A. $$1:3$$ B....
0
Last post by Gmat_mission
Sun Nov 28, 2021 7:00 am
In the figure above, if $$AD$$ is parallel to $$BC,$$ then $$\angle ADC=\angle ADC=$$
by M7MBA »
1.jpg In the figure above, if $$AD$$ is parallel to $$BC,$$ then...
1
Last post by [email protected]
Sun Nov 28, 2021 6:47 am
A basketball team won its first 8 games of the season and then won 25% of its remaining games. If it won 50% of its game
by M7MBA »
A basketball team won its first 8 games of the season and then won...
0
Last post by M7MBA
Sun Nov 28, 2021 6:41 am
Bikesville is 200 miles from Restsville. Jasmine can complete the entire trip in 8 hours, and Monte takes two hours long
by M7MBA »
Bikesville is 200 miles from Restsville. Jasmine can complete the...
0
Last post by M7MBA
Sun Nov 28, 2021 1:45 am
If the radius of the circle above is $$3$$ and point $$O$$ is the center of the circle, what is the area of triangle
by M7MBA »
1 (1).jpg If the radius of the circle above is $$3$$ and point $$O$$...
0
Last post by M7MBA
Sun Nov 28, 2021 1:40 am
An art supply store buys a case of $$144$$ pens at a wholesale price of $$\1$$ per pen. The pens are then offered for
by M7MBA »
An art supply store buys a case of $$144$$ pens at a wholesale price...
0
Last post by M7MBA
Sun Nov 28, 2021 1:24 am
If $$|x| < x^2,$$ which of the following must be true?
by Vincen »
If $$|x| < x^2,$$ which of the following must be true? A. $$x >... 1 Last post by [email protected] Sat Nov 27, 2021 7:18 am One-tenth of the employees at a company dinner are vice-presidents, and one-third of the remaining employees are assista by Vincen » One-tenth of the employees at a company dinner are vice-presidents,... 1 Last post by [email protected] Sat Nov 27, 2021 7:12 am At 1:00, Jack starts to bicycle along a 60-mile road at a constant speed of 15 miles per hour. Thirty minutes earlier, by M7MBA » At 1:00, Jack starts to bicycle along a 60-mile road at a constant... 0 Last post by M7MBA Sat Nov 27, 2021 6:10 am The numbers \(a, b,$$ and $$c$$ are chosen at random, with replacement, from the set of integers from $$1$$ to $$20,$$
by VJesus12 »
The numbers $$a, b,$$ and $$c$$ are chosen at random, with...
0
Last post by VJesus12
Sat Nov 27, 2021 6:07 am
A traffic signal has $$4$$ colors: Red, Blue, Green, and Yellow. Signals are made by combining any $$22$$ of these
by VJesus12 »
A traffic signal has $$4$$ colors: Red, Blue, Green, and Yellow....
0
Last post by VJesus12
Sat Nov 27, 2021 6:04 am
If $$27^{4x + 2} \cdot 162^{-2x} \cdot 36^x \cdot 9^{6 - 2x} = 1,$$ then what is the value of $$x?$$
by VJesus12 »
If $$27^{4x + 2} \cdot 162^{-2x} \cdot 36^x \cdot 9^{6 - 2x} = 1,$$...
0
Last post by VJesus12
Sat Nov 27, 2021 5:59 am
If the quantity $$5^2 + 5^4 + 5^6$$ is written as $$(a + b)(a - b),$$ in which both $$a$$ and $$b$$ are integers, which
by Vincen »
If the quantity $$5^2 + 5^4 + 5^6$$ is written as $$(a + b)(a - b),$$...
1
Last post by regor60
Sat Nov 27, 2021 5:30 am
The sequence $$S$$ is defined by $$S_n=2(S_{n-1})-4$$ for each integer $$n \ge 2.$$ If $$S_1=6,$$ what is the value of
by VJesus12 »
The sequence $$S$$ is defined by $$S_n=2(S_{n-1})-4$$ for each...
0
Last post by VJesus12
Sat Nov 27, 2021 5:19 am
Jack purchased two chairs at a discount of $$50\%.$$ Sally purchased a table at a discount of $$80\%.$$ Jack spent more
by VJesus12 »
Jack purchased two chairs at a discount of $$50\%.$$ Sally purchased...
0
Last post by VJesus12
Sat Nov 27, 2021 5:12 am
The units digit of $$(44^{91})\cdot (73^{37})$$ is:
by VJesus12 »
The units digit of $$(44^{91})\cdot (73^{37})$$ is: (A) 2 (B) 4 (C) 6...
0
Last post by VJesus12
Sat Nov 27, 2021 5:08 am
At a constant speed of 72 kilometers per hour, a vehicle travels how many kilometers per second?
by VJesus12 »
At a constant speed of 72 kilometers per hour, a vehicle travels how...
0
Last post by VJesus12
Sat Nov 27, 2021 5:04 am
$$M$$ is a positive two-digit number. When the digits are reversed, the number is $$N.$$ If $$K = M + N,$$ which of the
by Vincen »
$$M$$ is a positive two-digit number. When the digits are reversed,...
0
Last post by Vincen
Sat Nov 27, 2021 4:50 am
Let $$S$$ be the set of permutations of the sequence $$2, 3, 4, 5, 6$$ for which the first term is not $$2.$$ A permutat
by Vincen »
Let $$S$$ be the set of permutations of the sequence $$2, 3, 4, 5,... 0 Last post by Vincen Sat Nov 27, 2021 4:46 am How many factors of the number \(2^4 \cdot 3\cdot 5^2$$ are even?
by Vincen »
How many factors of the number $$2^4 \cdot 3\cdot 5^2$$ are even? A)...
0
Last post by Vincen
Sat Nov 27, 2021 4:42 am
The hypotenuse of an isosceles right triangle has a length of $$h,$$ and the triangle has an area of $$a.$$ Which of the
by Vincen »
The hypotenuse of an isosceles right triangle has a length of $$h,$$...
0
Last post by Vincen
Sat Nov 27, 2021 4:37 am
If $$a$$ and $$b$$ are integers such that $$a > b > 1,$$ which of the following cannot be a multiple of either $$a$$ or
by Vincen »
If $$a$$ and $$b$$ are integers such that $$a > b > 1,$$ which...
0
Last post by Vincen
Sat Nov 27, 2021 4:30 am