GRE Mixed Quantitative Reasoning (Problem Solving) 2

Question 1

A store marks up an item by 40%, then offers a 25% discount on the marked-up price. What is the net percent change from the original price?

Accepted Answer

5% increase

Answer

1.40 × 0.75 = 1.05, a 5% increase.

Question 2

If 3^x = 81, what is the value of 3^(x-2)?

Accepted Answer

9

Answer

3^x = 81 means x = 4, so 3^(4-2) = 3^2 = 9.

Question 3

A car travels 120 miles at 40 mph, then 120 miles at 60 mph. What is the average speed for the whole trip?

Accepted Answer

48 mph

Answer

Total time = 3 + 2 = 5 hours for 240 miles, so 240/5 = 48 mph.

Question 4

The ratio of boys to girls in a class is 3:5. If there are 20 girls, how many students are in the class?

Accepted Answer

32

Answer

5 parts = 20, so 1 part = 4; total 8 parts = 32.

Question 5

If x and y are positive integers and x + y = 10, what is the maximum possible value of xy?

Accepted Answer

25

Answer

The product is maximized when x = y = 5, giving 25.

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