List of top Quantitative Aptitude Questions asked in GRE

If 3 and 14 are factors of a number, which of the following can possibly be true? Indicate all possible answers.

In a triangle JKL, the length of two sides is given as 8 and 13 and the length of third side is unknown. Which of the following could be the length of this unknown side? Indicate all possible options.

If \( \frac{6!}{3^m} \) is an integer, which of the following options are greater than the largest possible value of \( m \)? Indicate all possible values.

Let \( x \) be the 2-digit numbers which can be created from 5 distinct numbers. Which of the following options is less than \( x \)? Indicate all possible options.

For all values of $x$ and $y$ if $x<y<(x+y)$, which of the following must be negative? Indicate all possible options.

Henderson is the elder brother of Mark, and their age difference is 3 years. Mark is 9 years younger than Alisa. If Alisa is at least 33 years old, which of the following could be the age of Henderson?

If ‘P’ is a negative odd number and ‘Q’ is a Prime number other than 2, then which of the following options is INCORRECT. Indicate all possible answers.

A man marks the price of an object at 20% above the manufacturing cost. He finally sells it at a discounted price and observed that the discount offered as a percent of the cost was the same as the profit he made as a percent of the initial marked price. What was his percent profit?

Per capita GDP of a country is defined as the ratio of the GDP, in million dollars, to the population, in millions, of the country. If the GDP of a country increased by 20% from 2015 to 2016 and at the same time, the population increased by 5%, what was the percent increase in 'Per capita GDP' of the country from 2015 to 2016?

A store sells two pieces of electronic items, one at 20% profit and another at 10% loss, respectively, thereby making an overall profit of 6%. What is the ratio of the cost prices of the two items?

A car has a fuel efficiency of \( FF \) miles per gallon if driven in city conditions. If the car was driven at a speed of \( DD \) miles per hour, how many liters of diesel was used to travel for \( hh \) hours? Assume 1 gallon = 3.8 liters.

A right-angled isosceles triangle and an equilateral triangle have equal perimeters.

In the diagram shown above, if CD = 12, what is the length of AB?

In the square shown above, the side is 2 units. The circle and the semicircle having its diameter along a side of the square, touch as shown. What is the radius of the smaller semicircle?

The three sides of a triangle are of length \( (2x - 1), (2x - 1), (7 - x)(7 - x), \) and \( (x + 3)(x + 3) \).

Let \( x \) and \( y \) be numbers such that \( |x + y| = 12 \), \( |x + y| = 12 \), and \( |x| - |y| = 4 \).
Quantity A :xyxy
Quantity B:22

A family consists of the father, mother, son, and daughter. In the year 2015, the son, then aged 25 years, moved away. The average age of the members, excluding the son, in the year 2018 is 24 years. What was the average age of the family in 2012?

Let \( x \) and \( y \) be two numbers such that \( x^{\frac{1}{2}}>y \).

A die is rolled four times and the numbers appearing on each roll are noted.

For test takers in a national level contest, the scores were observed to be normally distributed with a median score of 65 and a standard deviation of 4.

\( p, q, r, p, q, r, \) and \( s \) are four numbers such that \[ pq^2 - |q|>q^2r - |s|pq2 - |q|>q2r - |s| \quad \text{and} \quad |q|>|s| |q|>|s| \]

The operator '\#' is such that \( 2 \# 3 = 12 \# 3 = 1 \) and \( 2 \# (-3) = 12 \# (-3) = 1 \). It is known that \( x \# y \) could imply one among \( |x - y|, |x - y|, |y|, |x|, |y| - |x|, \) and \( ||x| - |y|| \).

Compare the following quantities: \[ \text{Quantity A: } 10111011 \] \[ \text{Quantity B: } 23r237 \]

Two different juice concentrates, A and B, are used to form two different mixtures P and Q. To make P, xx ml of A and 40 ml of B are used; while to make Q, 90 ml of A and xx ml of B are used. It was observed that the juice concentration in each mixture, P and Q, is the same.

By what percentage did the total book sales of the three stores increase from 2005 to 2010?