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Problem Solving

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Last post
In a family of four people, none of the people is the same age, but all are a prime number of years old. Two of the
by AAPL »
In a family of four people, none of the people is the same age, but...
0
Last post by AAPL
Mon Jun 22, 2026 5:55 pm
A prime triple is a set of three consecutive prime numbers in which the first and last number differ by six. Which of
by AAPL »
A prime triple is a set of three consecutive prime numbers in which...
0
Last post by AAPL
Mon Jun 22, 2026 5:33 pm
At a certain pizzeria, 1/8 of the pizzas sold in one week were mushroom and 1/3 of the remaining pizzas sold were pepper
by BTGModeratorVI »
At a certain pizzeria, 1/8 of the pizzas sold in one week were...
3
EXPERT REPLIES
Last post by ygcrowanhand
Sun Jun 21, 2026 4:40 am
Probability
by swerve »
Jayma has applied to graduate programs at both university \(A\) and...
0
Last post by swerve
Sat Jun 20, 2026 5:41 pm
Probability
by swerve »
There are \(m\) mangoes and \(c\) custardapples in a bowl. Carol ate...
0
Last post by swerve
Sat Jun 20, 2026 5:07 pm
On the \(xy\)-coordinate plane, point \(A\) lies on the \(y\)-axis and point \(B\) lies on the \(x\)-axis. Points
by BTGmoderatorLU »
On the \(xy\)-coordinate plane, point \(A\) lies on the \(y\)-axis...
0
Last post by BTGmoderatorLU
Fri Jun 19, 2026 5:10 am
The figure above shows the graph of a certain equation in the \(xy\)-plane. The graph is a circle with center \(O\) and
by BTGmoderatorLU »
2020-12-15_14-17-57.png The figure above shows the graph of a...
0
Last post by BTGmoderatorLU
Fri Jun 19, 2026 4:39 am
Which of the following inequalities is the solution to the inequality \(7x - 5 < 12x + 18?\)
by AAPL »
Which of the following inequalities is the solution to the inequality...
0
Last post by AAPL
Thu Jun 18, 2026 2:50 pm
How many integers \(n\) satisfy the absolute value inequality \(|4n - 3| \leq 2?\)
by AAPL »
How many integers \(n\) satisfy the absolute value inequality \(|4n -...
0
Last post by AAPL
Thu Jun 18, 2026 2:25 pm
Word Problems
by swerve »
To boost sales around holidays, the government of the fictional...
0
Last post by swerve
Wed Jun 17, 2026 7:29 am
Word Problems
by swerve »
Pat has \(4\) teapots more than Judi, but \(3\) teapots fewer than...
0
Last post by swerve
Wed Jun 17, 2026 7:04 am
Word Problems
by swerve »
A store normally sells windows at \(\$100\) each. This week the store...
0
Last post by swerve
Wed Jun 17, 2026 6:39 am
What is the sum of the squares of the first two positive odd integers if the sum of squares of the first two positive
by BTGmoderatorLU »
What is the sum of the squares of the first two positive odd integers...
0
Last post by BTGmoderatorLU
Tue Jun 16, 2026 6:36 pm
The following represents the verbal scores of \(30\) test-takers in a popular test.
by BTGmoderatorLU »
The following represents the verbal scores of \(30\) test-takers in a...
0
Last post by BTGmoderatorLU
Tue Jun 16, 2026 6:19 pm
The arithmetic mean of \(3x-8\) and another number is \(5x.\) The arithmetic mean of the other number and \(3x\) is
by BTGmoderatorLU »
The arithmetic mean of \(3x-8\) and another number is \(5x.\) The...
0
Last post by BTGmoderatorLU
Tue Jun 16, 2026 5:57 pm
A motorist travels \(x\) miles in \(y\) hours and \(z\) minutes. What is his average speed in miles per hour?
by AAPL »
A motorist travels \(x\) miles in \(y\) hours and \(z\) minutes. What...
0
Last post by AAPL
Sat Jun 13, 2026 7:16 am
If a cyclist can cover \(x\) meters in \(t\) munites at \(r_1\) meters per minute, and \(2x\) meters in \(4t\) minutes
by AAPL »
If a cyclist can cover \(x\) meters in \(t\) munites at \(r_1\)...
0
Last post by AAPL
Sat Jun 13, 2026 6:42 am
Arithmetic, Number Properties
by swerve »
If \(x\) is the sum of all integers from \(51\) to \(100,\)...
0
Last post by swerve
Wed Jun 10, 2026 5:34 pm
Arithmetic
by swerve »
Which of the following has a value that is greater than \(25?\) I....
0
Last post by swerve
Wed Jun 10, 2026 4:54 pm
If \(x\) is the least of three consecutive even integers, what is the product of these three integers in terms of \(x?\)
by BTGmoderatorLU »
If \(x\) is the least of three consecutive even integers, what is the...
0
Last post by BTGmoderatorLU
Thu May 21, 2026 11:14 am
If the value of the expression above is to be doubled by halving exactly one of the five variables, which variable
by BTGmoderatorLU »
\(\dfrac{u}{v}*\dfrac{x}{(y+z)}\) If the value of the expression...
0
Last post by BTGmoderatorLU
Thu May 21, 2026 10:47 am
The sum of the squares of the first \(n\) positive integers \(1^2+2^2+3^2+\ldots+n^2\) is \(n\dfrac{(n+1)(2n+1)}{6}.\)
by AAPL »
The sum of the squares of the first \(n\) positive integers...
0
Last post by AAPL
Mon May 18, 2026 5:45 pm
In a sequence of \(19\) numbers, each term except for the first one is greater than the previous term by \(9.\) If the
by AAPL »
In a sequence of \(19\) numbers, each term except for the first one...
0
Last post by AAPL
Mon May 18, 2026 5:14 pm
Probability
by swerve »
If the probabilities that three students \(A, B\) and \(C\) may pass...
0
Last post by swerve
Fri May 08, 2026 6:59 pm
Probability
by swerve »
A committee of \(3\) is to be formed from \(5\) persons \(A, B, C,...
0
Last post by swerve
Fri May 08, 2026 6:33 pm
Mark and Kate individually take \(12\) hours more and \(27\) hours more, respectively, to complete a certain project
by BTGmoderatorLU »
Mark and Kate individually take \(12\) hours more and \(27\) hours...
0
Last post by BTGmoderatorLU
Fri May 08, 2026 5:16 am
A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed, then the inlet pipe fills the empty tank in
by BTGmoderatorLU »
A tank has an inlet pipe and an outlet pipe. If the outlet pipe is...
0
Last post by BTGmoderatorLU
Fri May 08, 2026 4:39 am
The figure shows that \(OABC\) is a parallelogram. What is the equation of the line passing through \(A\) and \(C?\)
by AAPL »
1.13PS.png The figure shows that \(OABC\) is a parallelogram. What...
0
Last post by AAPL
Tue May 05, 2026 6:48 am
What is the slope of the line defined by the equation \(2x-3y=9?\)
by AAPL »
What is the slope of the line defined by the equation \(2x-3y=9?\) A....
0
Last post by AAPL
Tue May 05, 2026 6:09 am
Multiples and Factors, Remainders
by swerve »
When the integer \(n\) is divided by \(24,\) the remainder is \(21.\)...
0
Last post by swerve
Mon May 04, 2026 6:45 am
Remainders
by swerve »
If \(a\) is a positive integer and if remainders of \(4\) and \(6\)...
0
Last post by swerve
Mon May 04, 2026 6:25 am
If each of the 12 teams participating in a certain tournament plays exactly one game with each of the other teams, how m
by BTGModeratorVI »
If each of the 12 teams participating in a certain tournament plays...
2
EXPERT REPLIES
Last post by ygcrowanhand
Sun May 03, 2026 4:12 am
The above graph lists the number of cars sold per month at a car dealership from January (Jan) through June (Jun). How
by BTGmoderatorLU »
2015-01-06_1905.png The above graph lists the number of cars sold...
0
Last post by BTGmoderatorLU
Sat May 02, 2026 11:50 am
The positive difference between the greatest and the least numbers of eight digits which begin with \(8\) and end with
by BTGmoderatorLU »
The positive difference between the greatest and the least numbers of...
0
Last post by BTGmoderatorLU
Sat May 02, 2026 11:24 am
In the correctly worked addition problem shown, P, Q, R, and S are digits.
by BTGmoderatorDC »
#gmatclub.jpg In the correctly worked addition problem shown, P, Q,...
2
EXPERT REPLIES
Last post by ygcrowanhand
Wed Apr 29, 2026 8:37 am
If \(2x\) is \(12\) less than the sum of \(6x\) and \(4y,\) then what is the value of \(x+y?\)
by AAPL »
If \(2x\) is \(12\) less than the sum of \(6x\) and \(4y,\) then what...
0
Last post by AAPL
Tue Apr 28, 2026 7:49 am
If \(r=3s, s=5t, t=2u,\) and \(u \neq 0,\) what is the value of \(\dfrac{rst}{u^3}?\)
by AAPL »
If \(r=3s, s=5t, t=2u,\) and \(u \neq 0,\) what is the value of...
0
Last post by AAPL
Tue Apr 28, 2026 7:22 am
The confusion over order in probability...
by Stockmoose16 »
There is a lot of confusion on this board over probability and...
19
EXPERT REPLIES
Last post by gatewayabroadjaipur
Mon Apr 06, 2026 2:12 am
If the personal income tax rate is lowered from 40% to 33%, what is the differential savings for a tax payer having an
by BTGmoderatorLU »
If the personal income tax rate is lowered from 40% to 33%, what is...
0
Last post by BTGmoderatorLU
Wed Mar 25, 2026 6:26 pm
A wedding decorator receives two sets of light bulbs- A and B. Set A consists of \(100\) light bulbs of which \(20\)
by BTGmoderatorLU »
A wedding decorator receives two sets of light bulbs- A and B. Set A...
0
Last post by BTGmoderatorLU
Wed Mar 25, 2026 5:59 pm
Furniture was bought at a \(40\%\) reduction sale for \(\$165.00.\) What was the listed price of the furniture?
by BTGmoderatorLU »
Furniture was bought at a \(40\%\) reduction sale for \(\$165.00.\)...
0
Last post by BTGmoderatorLU
Wed Mar 25, 2026 5:34 pm
Dividing by \(3/8\) and then multiplying by \(5/6\) is the same as dividing by what number?
by AAPL »
Dividing by \(3/8\) and then multiplying by \(5/6\) is the same as...
0
Last post by AAPL
Mon Mar 23, 2026 4:49 pm
On a scaled map, a distance of \(10\) centimeters represents \(5\) kilometers. If a street is \(750\) meters long, what
by AAPL »
On a scaled map, a distance of \(10\) centimeters represents \(5\)...
0
Last post by AAPL
Mon Mar 23, 2026 4:19 pm
A train travels \(60\) miles per hour for \(3\) hours and then \(45\) miles per hour for \(2\) hours. What is the
by swerve »
A train travels \(60\) miles per hour for \(3\) hours and then \(45\)...
0
Last post by swerve
Fri Feb 27, 2026 5:42 pm
Distance and Speed Problems
by swerve »
Two trucks are parked at Charissa's Diner. Ryan leaves the diner, at...
0
Last post by swerve
Fri Feb 27, 2026 5:18 pm
How many even \(4\)-digits numbers can be formed with the digits \(3, 4, 7, 8\) if no digit is to be repeated?
by BTGmoderatorLU »
How many even \(4\)-digits numbers can be formed with the digits \(3,...
0
Last post by BTGmoderatorLU
Fri Feb 27, 2026 9:38 am
\(9\) people are standing in a circle. What is the probability that two particular persons are side by side?
by BTGmoderatorLU »
\(9\) people are standing in a circle. What is the probability that...
0
Last post by BTGmoderatorLU
Fri Feb 27, 2026 9:12 am
The circle above has \(10\) points on its edge. How many different quadrilaterals can be drawn that use four of these
by AAPL »
image009.gif The circle above has \(10\) points on its edge. How...
0
Last post by AAPL
Wed Feb 25, 2026 12:14 pm
Fractions and Ratios
by swerve »
A luxury car dealership sells only Ferraris and Lamborghinis. If the...
0
Last post by swerve
Tue Feb 24, 2026 2:43 pm
Fractions and Ratios
by swerve »
\(A, B\) and \(C\) rent a pasture. A puts \(10\) oxen for \(7\)...
0
Last post by swerve
Tue Feb 24, 2026 2:17 pm