GRE Mixed Quantitative Reasoning (Problem Solving) 3

Question 1

If the average of five numbers is 18 and four of them are 12, 15, 20, and 25, what is the fifth number?

Accepted Answer

18

Answer

Sum must be 90; 90 - 72 = 18.

Question 2

A rectangle has a perimeter of 36 and a length twice its width. What is its area?

Accepted Answer

72

Answer

Width = 6, length = 12, so area = 72.

Question 3

If 2^(x+1) = 32, what is x?

Accepted Answer

4

Answer

32 = 2^5, so x + 1 = 5 and x = 4.

Question 4

A worker is paid $15 per hour for the first 40 hours and 1.5 times that for overtime. If she earns $735 in a week, how many hours did she work?

Accepted Answer

46

Answer

Regular pay = $600; remaining $135 ÷ $22.50 = 6, so total = 46 hours.

Question 5

The probability of an event is 3/8. What are the odds against it?

Accepted Answer

5:3

Answer

Odds against = unfavorable:favorable = 5:3.

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