CFAT CFAT Problem Solving: Percentages and Fractions 2 — Questions and Answers
Question 1: What is 150% of 60?
- 75
- 80
- 90 (Correct answer)
- 100
Correct answer: 90
150% of 60 = 1.5 × 60 = 90.
Question 2: Simplify the fraction 18/24.
- 2/3
- 3/4 (Correct answer)
- 5/6
- 7/8
Correct answer: 3/4
The GCD of 18 and 24 is 6, so 18/24 = 3/4.
Question 3: A price increases from $50 to $65. What is the percentage increase?
- 15%
- 20%
- 25%
- 30% (Correct answer)
Correct answer: 30%
Increase = $15; percentage = (15 ÷ 50) × 100 = 30%.
Question 4: What is 7/8 × 4/3?
- 28/24
- 7/6 (Correct answer)
- 11/11
- 5/4
Correct answer: 7/6
7 × 4 = 28 and 8 × 3 = 24, giving 28/24, which simplifies to 7/6.
Question 5: 45 is what percent of 180?
- 20%
- 25% (Correct answer)
- 30%
- 35%
Correct answer: 25%
(45 ÷ 180) × 100 = 0.25 × 100 = 25%.
Question 6: What is 2/3 ÷ 4/9?
- 8/27
- 3/2 (Correct answer)
- 6/4
- 1/2
Correct answer: 3/2
Dividing by a fraction means multiplying by its reciprocal: 2/3 × 9/4 = 18/12 = 3/2.
What is 150% of 60?