List of top Quantitative Aptitude Questions asked in GRE

Alice is twice as old as Tom, but four years ago, she was three years older than Tom is now. How old is Tom now?

What is the value of the function f(x) = 6x² + 16x - 6 when x = -3?

Given f(x)=3x²-5 and g(x)=9-2x, find f(g(5)).

Find f(6) if f(x)=|x²+4x-127|

A function f(x) = -1 for all values of x. Another function g(x) = 3x for all values of x. What is g(f(x)) when x = 4?

For all values of x, f(x) = 7x² - 3, and for all values of y, g(y) = 2y + 9. What is g(f(x))?

Worker A can make a trinket in 4 hours, Worker B can make a trinket in 2 hours. When they work together, how long will it take them to make a trinket?

How much does the volume of a sphere increase if its radius is increased by 50%?

Given the functions f(x) = 2x + 4 and g(x) = 3x - 6, what is f(g(x)) when x = 6?

If f(x)=3x+7 and g(x)=x²-12, what is f(g(x))?

What is f(-3) if f(x) = x² + 5?

An outpost has the supplies to last 2 people for 14 days. How many days will the supplies last for 7 people?

A jet goes from City 1 to City 2 at an average speed of 600 miles per hour, and returns along the same path at an average speed of 300 miles per hour. What is the average speed, in miles per hour, for the trip?

What is the length of an edge of a cube with a surface area of \(1350 \, \text{in}^2\)?

Quantity A: The volume of a cylinder with radius 3 and height 4
Quantity B: 3 times the volume of a cone with radius 3 and height 4
Which of the following is true?

Quantity A: the area of a right triangle with sides 10, 24, 26
Quantity B: twice the area of a right triangle with sides 5, 12, 13
Which of the following is true?

An acute isosceles triangle has two sides with length \(a\) and one side length \(b\). The length of side \(a = 39\) ft. If the length of \(b = \tfrac{1}{2}a\), what is the perimeter of the triangle?

Which point could lie on the circle with radius 5 and center \( (1, 2) \)?

If rectangle \(ABCD\) has a perimeter of 68, and the longer edge is 2.4 times longer than the shorter edge, then how long is the diagonal \(AC\)?

If \(m\) is a line that has a \(y\)-intercept of 3 and an \(x\)-intercept of 7, which of the following is the equation of a line that is perpendicular to \(m\)?

Quantity A: The slope of the line parallel to \( 5x = 15y - 12 \)
Quantity B: The slope of the line parallel to \( 2y = -23x - 14 \)
Which of the following is true?

There is a line defined by two end-points, \( (11, -5) \) and \( (a, b) \). The midpoint between these two points is \( (-6, -21) \). What is the value of the point \( (a, b) \)?

Quantity A: The diameter of a circle with area of \( 109\pi \)
Quantity B: The diameter of a circle with circumference of \( 22\pi \)
Which of the following is true?

What is the sum of the 40th and the 70th elements of the series defined as: \( s_n = s_{n-1} - 5, \; s_1 = 281 \)?

Quantity A: \(x\), where \(x\) is 65% of 408.
Quantity B: \(y\), where \(y\) is 40% of 663.