GRE Quantitative Reasoning Practice Test 1

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

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

A house is built by 20 workers in 30 days. How many workers will be needed to complete the work in 15 days?

If the product of two integers x and y is less than 82 with y being a multiple of three. What is the highest value that x may have?

The average arithmetic mean of 5 numbers is 100. From this given information, chose the correct option.

If x+2y= 4 and x+3y= 9. Find the correct option.

If ‘a’ is an integer greater than zero, which of the following is correct.

Compare Quantity A and Quantity B

In a 3.5 hours long online gaming session, Alice scored 525 points. How many points did she score per minute?

Consider the following two equations and find the value of x – 3y.

2x-4y= 4

x – y = 3

What is the number of degrees moved by the hour hand of a clock in going from 11 am to 3:30 pm?

Bale, Rio and John are playing a game in which each one of them have to choose a chit from a total of 20 chits. Each of these 20 chits has a number written on it from 1 to 20 and no number is repeated twice. The one who picks up a chit which is either multiple of 5 or 6 will have to serve others a smoked chicken pizza. Bale tries his luck first. What is the probability that he will be the one who will have to serve other pizza?

Answer as a fraction in simplest form (e.g., 1/4 or 3/5)

Let ‘x’ and ‘y’ be two integers such that x < 0 and y < 0. Which of the following options could values of xy/(x+y). Indicate all possible options.

Which of the following represent the sum of two integers such that the product of these two integers is 12. Indicate all the possible answers.

If -13 < a < -2 and 1 < b < 9. Which of the following could be equal to the product of ‘a’ and ‘b’. Indicate all possible values.

If 3 and 14 are factors of a number, which of the following can possibly be true? Indicate all possible answers.