Free GRE Quantitative Comparison Questions with Solutions Sample 1

A set of 10 questions similar to GRE quantitative comparison reasoning questions , with solutions and explanations are presented.

How to Solve the Questions Below?

When solving quantitative comparison questions, you asked to compare two quantities – Quantity A and Quantity B – and then determine which of the following statements describes the comparison:
(A) Quantity A is greater.
(B) Quantity B is greater.
(C) The two quantities are equal.
(D) The relationship cannot be determined from the information given.

Question 1

\[ \begin{array}{|l|l|} \hline \textbf{Quantity A} & \textbf{Quantity B} \\ \hline 2(3 + 4)^2 + 10 & 2 + (3 + 4)^2 + 10 \\ \hline \end{array} \]

Question 2

\[ \begin{array}{|l|l|} \hline \textbf{Quantity A} & \textbf{Quantity B} \\ \hline 2 \times 3^{10} + 2 \times 3^{10} + 2 \times 3^{10} & 3 \times 3^{10} \\ \hline \end{array} \]

Question 3

\[ \begin{array}{|l|l|} \hline \textbf{Quantity A} & \textbf{Quantity B} \\ \hline 25\% \text{ of } 300 & \text{ three quarters of } 200 \\ \hline \end{array} \]

Question 4

ABC is a triangle such that the measure of angle A is 45°. The measure of angle C is twice the measure of angle B. \[ \begin{array}{|l|l|} \hline \textbf{Quantity A} & \textbf{Quantity B} \\ \hline \text{The measure of angle } A & \text{The measure of angle } B \\ \hline \end{array} \]

Question 5

\(x \) is a variable that may take any real value. \[ \begin{array}{|l|l|} \hline \textbf{Quantity A} & \textbf{Quantity B} \\ \hline x^2 + 1 & 100x + 1 \\ \hline \end{array} \]

Question 6

\[ \begin{array}{|l|l|} \hline \textbf{Quantity A} & \textbf{Quantity B} \\ \hline \text{Area of a rectangle with perimeter } 240 & \text{Area of a square with perimeter } 240 \\ \hline \end{array} \]

Question 7

\[ x = - 10^{-2} \] \[ \begin{array}{|c|c|} \hline \textbf{Quantity A} & \textbf{Quantity B} \\ \hline x^3 & x^2 \\ \hline \end{array} \]

Question 8

\[ \begin{array}{|c|c|} \hline \textbf{Quantity A} & \textbf{Quantity B} \\ \hline \text{The volume of a cylindrical tube of radius } 1\, \text{cm and length } 100\, \text{m} & \text{The volume of a cylindrical container of radius } 10\, \text{cm and length } 10\, \text{m} \\ \hline \end{array} \]

Question 9

\[ 0 \lt x \lt 1 \] \[ \begin{array}{|c|c|} \hline \textbf{Quantity A} & \textbf{Quantity B} \\ \hline \dfrac{1}{x^2} & \dfrac{1}{x} \\ \hline \end{array} \]

Question 10

A bag contains green, blue and yellow balls. The ratio of green to blue balls is \( 2:7 \). The ratio of green to yellow balls is \( 3:5 \). \[ \begin{array}{|c|c|} \hline \text{Quantity A} & \text{Quantity B} \\ \hline \text{Number of blue balls} & \text{Number of yellow balls} \\ \hline \end{array} \] solutions and explanations to the above questions.