GRE Quantitative Practice

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Questions and Answers

What is the probability that Liz randomly selects a blue t-shirt from her collection of t-shirts?

5/11
4/10
2/11
4/11 (correct)

If a hat contains 18 raffle tickets numbered 1 through 18, what is the probability that both tickets selected randomly are even numbers?

1/6
1/3 (correct)
1/9
16/171

What is the average speed, in miles per hour, for Susan's entire 6-hour trip traveling first at 50 mph for 4 hours and then 20 mph for 2 hours?

35 (correct)
25
30
40

For which of the following values of x is the mode of the numbers 2x, x + 5, 3x − 2, 5x − 7, and 4x equal to 4?

2 (C) Signup and view all the answers

What is the median of the following numbers: 2x, x + 5, 3x − 2, 5x − 7, and 4x, if x is set to 2?

4 (C) Signup and view all the answers

What is the probability that a person selected at random picked a marble numbered 2 or greater from a hat containing 15 marbles, where the counts of marbles are: 1 (4), 2 (5), and 3 (6)?

9/15 (A) Signup and view all the answers

If Sarah knows the first two digits of her four-digit ATM pin, and each of the last two digits is greater than 5, what is the probability that she can access her account by guessing these digits?

3/16 (B) Signup and view all the answers

In the context of three positive numbers x, y, and z, if y = x + 2 and z = y + 2, how does the median relate to the product of the smallest number and the median?

The result is zero. (C) Signup and view all the answers

If the probability of selecting a red paper clip is 1/4 and a blue paper clip is 1/6, what is the probability of not selecting a red or blue paper clip?

7/12 (D) Signup and view all the answers

In the scenario where x < y < z, z = ky, and x = 0, if the average of x, y, and z is three times the median, what condition must k satisfy?

k must equal y. (A) Signup and view all the answers

Flashcards

Median of a set of integers

The middle value when the integers are arranged in ascending order. If there are two middle values, the median is their average.

Probability of selecting a marble numbered 2 or greater

The chance of picking a marble with a number 2 or 3 from a hat containing 15 marbles with numbers 1, 2, or 3, given the number of people selecting each marble.

Probability of a random guess

The likelihood of correctly guessing a specific value out of a possible set of values in cases of limited guesses or incomplete information.

Calculating an unknown variable (k) in an equation involving average and median

Finding k value that relates x, y, and z where x < y < z, and the average of x, y, and z is three times the median, given y=kx and other conditions