COOP Quantitative Reasoning 4

Question 1

A bag has 4 red, 3 blue, and 5 green marbles. If one marble is chosen at random, what is the probability it is blue?

Accepted Answer

3/12

Answer

P(blue) = 3/(4+3+5) = 3/12 = 1/4.

Question 2

What is the least common multiple (LCM) of 6 and 9?

Accepted Answer

18

Answer

LCM(6, 9) = 18, since 18 is the smallest number divisible by both 6 and 9.

Question 3

A worker earns $12.50 per hour and works 36 hours in a week. What are her total weekly earnings?

Accepted Answer

$450

Answer

$12.50 × 36 = $450.

Question 4

On a map, 1 inch represents 50 miles. Two cities are 3.5 inches apart on the map. What is the actual distance?

Accepted Answer

175 miles

Answer

3.5 × 50 = 175 miles.

Question 5

The average of five numbers is 14. Four of the numbers are 10, 12, 16, and 18. What is the fifth number?

Accepted Answer

14

Answer

Sum = 5 × 14 = 70; fifth number = 70 − (10+12+16+18) = 70 − 56 = 14.

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