Below is a set of 10 GRE-style numeric entry questions designed to help you practice and prepare for the GRE Quantitative Reasoning section. Detailed solutions and explanations are provided for each question.
Working together, two water pumps \(A\) and \(B\) can fill a water tank in \(3\) hours. Working alone, pump \(A\) can fill the tank in \(4\) hours. How long does it take pump \(B\), working alone, to fill the same tank?
The values of \(x\) and \(y\) are related by the equation
\[ y = \frac{k}{x}, \]where \(k\) is a constant. If \(y = 45\) when \(x = 3\), what is the value of \(x\) when \(y = 180\)?
A rectangle has a length that is one third of its perimeter. The perimeter is \(150\) meters. What is the area of the rectangle?
The square of the sum of two numbers is \(289\). The product of the two numbers is \(66\). What is the sum of the squares of the two numbers?
In a certain country, in one year, \(30\%\) of the total money spent on energy was spent on generating electricity. If \(30\) billion dollars were spent on energy, how much money was spent on generating electricity?
The sum of three consecutive odd integers is \(249\). Find the largest of these integers.
The sum of two numbers is \(3.6\) and the difference of these numbers is \(1.2\). Find the larger of the two numbers.
\(20\%\) of what number is \(125\)?
The price of a shirt was first decreased by \(10\%\) and then decreased a second time by \(15\%\). What was the original price of the shirt if the final price is \(22\) dollars?
(Round your answer to the nearest cent.)
The average of
\[ \frac{1}{2}, \quad \frac{1}{4}, \quad \frac{2}{3}, \quad \text{and } x \]is equal to
\[ \frac{3}{4}. \]Find the value of \(x\).