List of top Quantitative Aptitude Questions

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.

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.

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.}

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.

The arithmetic mean of \( a, b, c, d \) is 14.
Quantity A: 32
Quantity B: The arithmetic mean of \( a + b \), \( c + d \), and \( a - b + c - d = 48 \)

If \( x = 55 \), \( x + y = 23 \), and \( y - x = 2 \), find the value of \( 2x + y \).

Reduce the following fraction: \[ \frac{a^2b^2 + c^2}{5ab^2} \div \frac{5ab + c}{5c} \]

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

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. \( x = -3 \)

What is the equation of the new parabola created by shifting \( y = x^2 \), three units in the positive y-axis direction?

A sphere with diameter 1 unit is enclosed in a cube of side 1 unit each. Find the unoccupied volume remaining inside the cube.

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.

If the largest side of a triangle is \( A \), and the other two sides are \( B \) and \( C \), what relation exists between them?

Find the shaded area when two squares with side \( a \) intersect as shown in the figure below.

A line is parallel to the y-axis and passes through the point \( (2,3) \). What is its gradient (m) and x-intercept?

What is the area of triangle ALC in the figure given below?

Milk needs to be thinned to a ratio of 3 parts milk to 2 parts water. The milk-man has by mistake added water so that he has 8 liters of milk, which is half water and half milk. What must he add to make the proportions of the mixture correct?

The width of a rectangle is \( \frac{2}{3} \) times its length. If the length is calculated to be 9, what is the value of the perimeter for this rectangle?

Alan has two more than twice as many chocolates as Alice, and half as many chocolates as does Nadia. If Alice has ‘a’ number of chocolates, then in terms of ‘a’, how many chocolates do Alan, Alice, and Nadia have?

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the four answer choices: R is the center of the circle below: Figure NOT drawn to scale Quantity A: Half the circumference
Quantity B: The area of triangle QRS

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the four answer choices: \[ A \times B = (AB)^2 + (A + B)^2 \]

The electrical engineering department at a certain graduate school in the United States (US) has a total of 36 students. The department has twice as many male students as female students and three times as many international students as students who are US citizens. Quantity A: The number of students who are US citizens \newline Quantity B: The number of female students

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the four answer choices: \textit{The graph below shows the gross domestic product (GDP) in trillions of US dollars for four countries between 2000 and 2008.} Quantity A: The combined GDP of Japan, China, and Canada in 2008
Quantity B: The GDP of the US in 2008

Circle A represents students who major in liberal arts at a certain university. Circle B represents students who major in the life sciences at that university, and circle C represents engineering majors at the same university.What does \( A \cap B \) represent?

If \( q \) is the smallest composite number greater than 2 and \( p \) is the smallest prime number less than 10, what is \( p \times q \)?