COOP Quantitative Reasoning 4 — Questions and Answers
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?
- 1/4
- 3/12 (Correct answer)
- 1/3
- 3/7
Correct answer: 3/12
P(blue) = 3/(4+3+5) = 3/12 = 1/4.
Question 2: What is the least common multiple (LCM) of 6 and 9?
- 18 (Correct answer)
- 36
- 54
- 3
Correct answer: 18
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?
- $430
- $450 (Correct answer)
- $440
- $460
Correct answer: $450
$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?
- 150 miles
- 175 miles (Correct answer)
- 200 miles
- 125 miles
Correct answer: 175 miles
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?
- 12
- 14 (Correct answer)
- 16
- 10
Correct answer: 14
Sum = 5 × 14 = 70; fifth number = 70 − (10+12+16+18) = 70 − 56 = 14.
Question 6: A square has an area of 49 cm². What is its perimeter?
- 14 cm
- 21 cm
- 28 cm (Correct answer)
- 24 cm
Correct answer: 28 cm
Side = √49 = 7 cm; perimeter = 4 × 7 = 28 cm.
Question 7: Which fraction is greatest: 2/3, 3/5, 5/8, or 7/12?
- 3/5
- 5/8
- 7/12
- 2/3 (Correct answer)
Correct answer: 2/3
Converting to decimals: 2/3 ≈ 0.667, which is the largest.
COOP Quantitative Reasoning 4
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?