GRE Math

One hour after Adrienne started walking the 60 miles from Town X to Town Y, James started walking in the same path from X to Y as well. Adrienne walks 3 miles per hour, and James walks 1 mile per hour faster than Adrienne. How far will James have walked when he catches up with Adrienne?

A. 8

B. 9

C. 10

D. 11

E. 12

E. 12

Nicky and Cristina are running a 1,000 meter race. Because Cristina is faster than Nicky, she gives him a 12 second head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him?

A. 15

B. 18

C. 25

D. 30

E. 45

D. 30

Juan bikes halfway to school at 9 miles per hour, and walks the rest of the distance at 3 miles per hour. What is Juan’s average speed for the whole trip, in miles per hour?

4.5

Tarik can complete a job in 12 minutes. If Andy helps Tarik, they can complete the job in 4 minutes. How long would it take, in minutes, for Andy to complete the job on his own?

6

The population of amoebas in a colony doubles every two days. If there were 200 amoebas in the colony six days ago, how many amoebas will be there 4 days from now?

6400

The average high temperature for x days is 70 degrees. The addition of one day with a temperature of 75 degrees increases the average to 71.

QA: x

QB: 5

B

If 13!/2^x is an integer, which of the following represents all possible values of x?

A. 0 <= x <= 10

B. 0 < x < 9

C. 0 <= x < 10

D. 1 <= x <= 10

E. 1 < x < 10

A

xy ≠ 0

a/(xs) = 632

a/(ys) = 158

__________

QA: x

QB: y

D

List A: 1, 2, 7, 8, 15, 2, 3, 5, 6, 13

x is the median of the even numbers in List A

y is the median of the prime numbers in List A

z is the median of the least and greatest numbers in List A

________________________________________________

QA: The median of 2x, y, and z

QB: z

C

How many 3 digit integers can be created using only 5 distinct digits?

60

If AB = BC, which of the following is an expression for the area of quadrilateral ABDE?

A. a²/2 - b²/2

B. a²/2 + b²/2

C. a² - b²

D. a²/4 - (ab)/2

E. a²/4 + (ab)/2

A