CCAT Numerical Reasoning 3 — Questions and Answers
Question 1: What is the next number in the series: 100, 91, 83, 76, 70, ___?
- 64
- 65 (Correct answer)
- 63
- 66
Correct answer: 65
Differences decrease by 1 each step: -9, -8, -7, -6, -5; so 70 - 5 = 65.
Question 2: If a jacket costs $84 after a 30% discount, what was the original price?
- $112
- $120 (Correct answer)
- $110
- $109
Correct answer: $120
$84 = 70% of original; original = $84 ÷ 0.70 = $120.
Question 3: Train A leaves at 9 AM at 60 mph. Train B leaves at 10 AM on the same track at 80 mph. When does Train B catch Train A?
- 1:00 PM (Correct answer)
- 12:00 PM
- 11:00 AM
- 2:00 PM
Correct answer: 1:00 PM
Train A has a 60-mile head start; closing speed = 20 mph; time to catch = 60 ÷ 20 = 3 hours after 10 AM = 1:00 PM.
Question 4: What is 2/3 of 3/4 of 120?
- 80
- 60 (Correct answer)
- 90
- 54
Correct answer: 60
3/4 of 120 = 90; 2/3 of 90 = 60.
Question 5: A tank is 1/4 full. After adding 18 gallons it is 3/4 full. What is the tank's total capacity?
- 36 gallons (Correct answer)
- 24 gallons
- 48 gallons
- 72 gallons
Correct answer: 36 gallons
18 gallons represents 3/4 − 1/4 = 1/2 the tank; total = 18 × 2 = 36 gallons.
Question 6: What is the value of 4³ − 3⁴?
- -17 (Correct answer)
- 17
- -25
- 7
Correct answer: -17
4³ = 64 and 3⁴ = 81; 64 − 81 = -17.
Question 7: A product costs $45 to make and is sold for $63. What is the profit margin (profit as % of selling price)?
- 28.6% (Correct answer)
- 40%
- 25%
- 30%
Correct answer: 28.6%
Profit = $63 - $45 = $18; margin = $18 ÷ $63 × 100 ≈ 28.6%.
CCAT Numerical Reasoning 3
What is the next number in the series: 100, 91, 83, 76, 70, ___?