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Quantitative Aptitude
List of top Quantitative Aptitude Questions
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?
GRE - 2024
GRE
Quantitative Aptitude
Ratio and Proportion
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?
GRE - 2024
GRE
Quantitative Aptitude
Number System
A right-angled isosceles triangle and an equilateral triangle have equal perimeters.
GRE - 2024
GRE
Quantitative Aptitude
Geometry
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?
GRE - 2024
GRE
Quantitative Aptitude
Geometry
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?
GRE - 2024
GRE
Quantitative Aptitude
Number System
Let \( x \) and \( y \) be numbers such that \( |x + y| = 12 \), \( |x + y| = 12 \), and \( |x| - |y| = 4 \).
Quantity A :xyxy
Quantity B:22
GRE - 2024
GRE
Quantitative Aptitude
Number System
In the diagram shown above, if CD = 12, what is the length of AB?
GRE - 2024
GRE
Quantitative Aptitude
Geometry
The three sides of a triangle are of length \( (2x - 1), (2x - 1), (7 - x)(7 - x), \) and \( (x + 3)(x + 3) \).
GRE - 2024
GRE
Quantitative Aptitude
Number System
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.
GRE - 2024
GRE
Quantitative Aptitude
Ratio and Proportion
Compare the following quantities:
\[ \text{Quantity A: } 10111011 \] \[ \text{Quantity B: } 23r237 \]
GRE - 2024
GRE
Quantitative Aptitude
Number System
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 \( ||x| - |y|| \).
GRE - 2024
GRE
Quantitative Aptitude
Number System
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.
GRE - 2024
GRE
Quantitative Aptitude
Probability
\( p, q, r, p, q, r, \) and \( s \) are four numbers such that \[ pq^2 - |q|>q^2r - |s|pq2 - |q|>q2r - |s| \quad \text{and} \quad |q|>|s| |q|>|s| \]
GRE - 2024
GRE
Quantitative Aptitude
Inequalities
Let \( x \) and \( y \) be two numbers such that \( x^{\frac{1}{2}}>y \).
GRE - 2024
GRE
Quantitative Aptitude
Number System
A die is rolled four times and the numbers appearing on each roll are noted.
GRE - 2024
GRE
Quantitative Aptitude
Probability
The product of two consecutive positive integers is 272. What is the larger of the integers?
GRE - 2024
GRE
Quantitative Aptitude
Number System
A chamber of commerce board has seven total members, drawn from a pool of twenty candidates. There are two stages in the board's election process. First, a president, secretary, and treasurer are chosen. After that, four members are chosen to be "at large" without any specific title or district. How many possible boards could be chosen?
GRE - 2024
GRE
Quantitative Aptitude
permutations and combinations
By what percentage did the total book sales of the three stores increase from 2005 to 2010?
GRE - 2024
GRE
Quantitative Aptitude
Number System
Box A has 10 green balls and 8 black balls. Box B has 9 green balls and 5 black balls.
What is the probability if one ball is drawn from each box that both balls are green?
GRE - 2024
GRE
Quantitative Aptitude
Probability
What is the sum of the 40th and the 70th elements of the series defined as:
\[ s_n = s_{n-1} - 5, \quad s_1 = 281 \]
GRE - 2024
GRE
Quantitative Aptitude
Number System
Flour, eggs, sugar, and chocolate chips are mixed by weight in the ratio of 12:5:3:5, respectively. How many pounds of chocolate chips are there in 75 pounds of the mixture?
GRE - 2024
GRE
Quantitative Aptitude
Ratio and Proportion
Quantity A: 7 - 4 - (-3) - 8
Quantity B: 8 - (-8) - 1 + 2.
Which of the following is true?
GRE - 2024
GRE
Quantitative Aptitude
Number System
Quantity A: \( -7 \)
Quantity B: \( x + y - z \)
\( 0<x<y<z<10 \)
x, y, and z are integers.
GRE - 2024
GRE
Quantitative Aptitude
Number System
Quantity A: \( |10| - |16| \)
Quantity B: \( |1 - 5| - |3 - 6| \)
GRE - 2024
GRE
Quantitative Aptitude
Number System
Which of the following is a graph for the values of \( x \) defined by the inequality \( 2x + 6>16 \)?
GRE - 2024
GRE
Quantitative Aptitude
Inequalities
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