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Quantitative Aptitude
List of top Quantitative Aptitude Questions asked in GRE
A boy with a lemonade stand sells cups of lemonade for a quarter each. He has bought $ 20 worth of supplies and is able to make 500 cups of lemonade with the supplies. If he has to pay a business tax of 4% for each cup he sells, how many cups will he have to sell in order to break even?
GRE - 2024
GRE
Quantitative Aptitude
Number System
The average of five consecutive integers is 6. What is the largest of these integers?
GRE - 2024
GRE
Quantitative Aptitude
Number System
Simplify:
\[ \frac{1}{2} + \frac{x}{4} \]
GRE - 2024
GRE
Quantitative Aptitude
Number System
At an overpriced department store there are 112 customers. If 43 have purchased shirts, 57 have purchased pants, and 38 have purchased neither, how many purchased both shirts and pants?
GRE - 2024
GRE
Quantitative Aptitude
Set Theory
How many real solutions are there for the following equation?
\[ x^4 + 5x^2 - 14 = 0 \]
GRE - 2024
GRE
Quantitative Aptitude
Number System
Simplify the following expression:
\[ 3\sqrt{27} + 5\sqrt{18} - 3\sqrt{147} \]
GRE - 2024
GRE
Quantitative Aptitude
Number System
Simplify the following expression:
\[ 0.327 + \left( \frac{3}{8} \times (0.048 + 2.176) \right) \]
GRE - 2024
GRE
Quantitative Aptitude
Number System
Which of the following is true?
\[ \text{Quantity A: } \frac{12}{11} \div \frac{7}{6}, \quad \text{Quantity B: } \frac{17}{8} \div \frac{7}{6} \]
GRE - 2024
GRE
Quantitative Aptitude
Ratio and Proportion
If the product of two distinct integers is 143, which of the following could not represent the sum of those two integers?
GRE - 2024
GRE
Quantitative Aptitude
Ratio and Proportion
Find the algebraic expression to represent the following statement:
\textit{The square of \( x \) multiplied by 3, the result has 18 subtracted from it and the final result divided by 15.}
GRE - 2024
GRE
Quantitative Aptitude
Algebraic Expressions
Compare Quantity A and Quantity B and determine which is larger.
\[ \text{Quantity A: } x^3 - 6, \quad \text{Quantity B: } x + 1 \] For when \( x<2 \), compare the two quantities.
GRE - 2024
GRE
Quantitative Aptitude
Inequalities
Compare Quantity A and Quantity B:
\[ \text{Quantity A: } (x + y)^3, \quad \text{Quantity B: } x^3 + y^3 \] Given that \( x<0 \) and \( y>0 \), compare the two quantities.
GRE - 2024
GRE
Quantitative Aptitude
Algebraic Expressions
Compare Quantity A and Quantity B:
\[ \text{Quantity A: } (x + y)^3, \quad \text{Quantity B: } x^3 + y^3 \] Given that \( x<0 \) and \( y>0 \), compare the two quantities.
GRE - 2024
GRE
Quantitative Aptitude
Algebraic Expressions
Reduce the following fraction:
\[ \frac{a^2b^2 + c^2}{5ab^2} \div \frac{5ab + c}{5c} \]
GRE - 2024
GRE
Quantitative Aptitude
Number System
Which of the following are answers to the equation below?
\[ x^2 - 4 = 0, \quad x^2 + 5x + 6 = 0 \] I. \( x = 2 \)
II. \( x = -2 \)
III. \( x = -3 \)
GRE - 2024
GRE
Quantitative Aptitude
Number System
Find the relationship between Quantity A and Quantity B:
\[ (a + b)^2 = 34, \quad \frac{ab}{2} = 6 \] Quantity A: \( a^2 + b^2 \)
Quantity B: 11
GRE - 2024
GRE
Quantitative Aptitude
Number System
The arithmetic mean of \( a, b, c, d \) is 14.
Quantity A: 32
Quantity B: The arithmetic mean of \( a + b \), \( c + d \), and \( a - b + c - d = 48 \)
GRE - 2024
GRE
Quantitative Aptitude
Number System
If \( x = 55 \), \( x + y = 23 \), and \( y - x = 2 \), find the value of \( 2x + y \).
GRE - 2024
GRE
Quantitative Aptitude
Linear Equations
A line is parallel to the y-axis and passes through the point \( (2,3) \). What is its gradient (m) and x-intercept?
GRE - 2024
GRE
Quantitative Aptitude
Geometry
What is the equation of the new parabola created by shifting \( y = x^2 \), three units in the positive y-axis direction?
GRE - 2024
GRE
Quantitative Aptitude
Geometry
A sphere with diameter 1 unit is enclosed in a cube of side 1 unit each. Find the unoccupied volume remaining inside the cube.
GRE - 2024
GRE
Quantitative Aptitude
Geometry
The function \( y = -3x^2 \) is shifted 2 units towards the positive x-axis (right) and 3 units towards the positive y-axis (up). Find the resulting function.
GRE - 2024
GRE
Quantitative Aptitude
Geometry
Find the shaded area when two squares with side \( a \) intersect as shown in the figure below.
GRE - 2024
GRE
Quantitative Aptitude
Geometry
If the largest side of a triangle is \( A \), and the other two sides are \( B \) and \( C \), what relation exists between them?
GRE - 2024
GRE
Quantitative Aptitude
Geometry
What is the area of triangle ALC in the figure given below?
GRE - 2024
GRE
Quantitative Aptitude
Geometry
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