List of top Quantitative Aptitude Questions asked in GRE

Of the 20 lightbulbs in a box, 2 are defective. An inspector will select 2 lightbulbs simultaneously and at random from the box. What is the probability that neither of the lightbulbs selected will be defective? 

What is the least positive integer that is not a factor of \( 25! \) and is not a prime number?

The total stopping distance for the car traveling at 60 miles per hour is approximately what percent greater than the total stopping distance for the car traveling at 50 miles per hour?

Approximately what is the total stopping distance, in feet, if the car is traveling at a speed of 40 miles per hour when the driver is signaled to stop?

The speed, in miles per hour, at which the car travels a distance of 52 feet during reaction time is closest to which of the following?

\( AB \) is a diameter of the circle. Compare: 
Quantity A: The length of \( AB \) 
Quantity B: The average (arithmetic mean) of the lengths of \( AC \) and \( AD \). 

In the sequence above, each term after the first term is equal to the preceding term plus the constant \(c\). If \(a_1 + a_3 + a_5 = 27\), what is the value of \(a_2 + a_4\)?

 

Which of the following statements individually provide sufficient additional information to determine the area of triangle ABC? 

If \( s \) is a speed, in miles per hour, at which the energy used per meter during running is twice the energy used per meter during walking, then according to the graph above, \( s \) is between

If \( \frac{1}{(2^{11})(5^{17})} \) is expressed as a terminating decimal, how many nonzero digits will the decimal have?
The total amount that Mary paid for a book was equal to the price of the book plus a sales tax that was 4 percent of the price of the book. Mary paid for the book with a 10 bill and received the correct change, which was less than 3.00. Which of the following statements must be true?

In the figure above, if \( m \parallel k \) and \( s = t + 30 \), then \( t = \dots \)

In a graduating class of 236 students, 142 took algebra and 121 took chemistry. What is the greatest possible number of students that could have taken both algebra and chemistry? 
Fraction answer: 

Given the triangle with angles of \( 40^\circ \), \( 50^\circ \), and \( 90^\circ \), compare the legs of this triangle to those of a \( 45^\circ \)-\( 45^\circ \)-\( 90^\circ \) triangle. 

O is the center of the circle above. 

Decaffeinated coffee: 0 mg
Percolated coffee: 95 mg
Drip-brewed coffee: 145 mg
Instant coffee: 65 mg
Brewed tea: 45 mg
Instant tea: 35 mg
Cocoa: 25 mg
Caffeinated soft drinks: 40 mg
Weight-loss drugs: 10 mg
Diuretics and stimulants: 15 mg
Pain relievers: 0 mg
Cold/allergy remedies: 10 mg
In the figure above, \( O \) and \( P \) are the centers of the two circles. If each circle has radius \( r \), what is the area of the shaded region?
What is the perimeter, in meters, of a rectangular playground 24 meters wide that has the same area as a rectangular playground 64 meters long and 48 meters wide?
If \( 0<a<1<b \), which of the following is true about the reciprocals of \( a \) and \( b \)?
What is the least positive integer that is not a factor of \( 25! \) and is not a prime number?
The integer \( v \) is greater than 1. If \( v \) is the square of an integer, which of the following numbers must also be the square of an integer? Indicate all such numbers.
In the \( xy \)-plane, line \( k \) is a line that does not pass through the origin. Which of the following statements individually provide(s) sufficient additional information to determine whether the slope of line \( k \) is negative?
The point with coordinates \((-6,-7)\) is the center of circle \( C \). The point \((-6,5)\) lies inside circle \( C \), and the point \((8,-7)\) lies outside circle \( C \). What is the radius of circle \( C \)?
Compare:
Quantity A: The median of the 24 integers
Quantity B: 50
The company at which Mark is employed has 80 employees, each of whom has a different salary. Mark’s salary of 43,700 is the second-highest salary in the first quartile of the 80 salaries. If the company were to hire 8 new employees at salaries that are less than the lowest of the 80 salaries, what would Mark’s salary be with respect to the quartiles of the 88 salaries at the company, assuming no other changes in the salaries?