GMAT Algebra II

A certain toll station on a highway has 7 tollbooths, and each tollbooth collects $0. 75 from each vehicle that passes it. From 6 o'clock yesterday morning to 12 o'clock midnight, vehicles passed each of the tollbooths at the average rate of 4 vehicles per minute. Approximately how much money did the toll station collect during that time period?

• $1,500

• $3,000

• $11,500

• $23,000

• $30,000

A school club plans to package and sell dried fruit to raise money. The club purchased 12 containers of dried fruit, each containing 16¾ pounds. What is the maximum number of individual bags of dried fruit, each containing 1/4 pounds, that can be sold from the dried fruit the club purchased?

• 50

• 64

• 67

• 768

• 804

• 1

• 6

• 11

• 16

• 21

A total of 5 liters of gasoline is to be poured into two empty containers with capacities of 2 liters and 6 liters, respectively, such that both containers will be filled to the same percent of their respective capacities. What amount of gasoline, in liters, must be poured into the 6-liter container?

• 4 1/2

• 4

• 3 3/4

• 3

• 1 1/4

List S consists of 10 consecutive odd integers, and list T consists of 5 consecutive even integers. If the least integer in S is 7 more than the least integer in T, how much greater is the average (arithmetic mean) of the integers in S than the average of the integers in T?

• 2

• 7

• 8

• 12

• 22

The "prime sum" of an integer n greater than 1 is the sum of all the prime factors of n, including repetitions. For example, the prime sum of 12 is 7, since 12 = 2 x 2 x 3 and 2 + 2 + 3 = 7. For which of the following integers is the prime sum greater than 35 ?

• 440

• 7512

• 620

• 700

• 750

What is the sum of the odd integers from 35 to 85, inclusive?

• 1,560

• 1,500

• 1,240

• 1,120

• 1,100

• Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient. 

• Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.

• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. 

• EACH statement ALONE is sufficient. 

• Statements (1) and (2) TOGETHER are not sufficient. 

• Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient. 

• Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.

• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. 

• EACH statement ALONE is sufficient. 

• Statements (1) and (2) TOGETHER are not sufficient. 

If x² + y² = 29, what is the value of (x - y)² ?

(1) xy = 10

(2) X= 5

• Statement (1) ALONE is sufficient but statement (2) ALONE is not sufficient. 

• Statement (2) ALONE is sufficient but statement (1) ALONE is not sufficient.

• BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. 

• EACH statement ALONE is sufficient. 

• Statements (1) and (2) TOGETHER are not sufficient.