CCAT Numerical Reasoning 2 โ Questions and Answers
Question 1: A store marks up items by 40% then offers a 20% discount. What is the net effect on the original price?
- 12% increase (Correct answer)
- 20% increase
- 8% increase
- No change
Correct answer: 12% increase
1.40 ร 0.80 = 1.12, which is a 12% net increase over the original price.
Question 2: What comes next in the series: 3, 6, 12, 24, 48, ___?
- 72
- 96 (Correct answer)
- 84
- 64
Correct answer: 96
Each term doubles the previous one, so 48 ร 2 = 96.
Question 3: If 5 workers complete a job in 8 days, how many days will 10 workers take to complete the same job?
- 3 days
- 6 days
- 4 days (Correct answer)
- 16 days
Correct answer: 4 days
Total work = 5 ร 8 = 40 worker-days; 40 รท 10 workers = 4 days.
Question 4: What is 15% of 240?
- 30
- 36 (Correct answer)
- 24
- 42
Correct answer: 36
15% of 240 = 0.15 ร 240 = 36.
Question 5: A car travels 180 miles in 3 hours. At the same speed, how far will it travel in 5 hours?
- 250 miles
- 270 miles
- 300 miles (Correct answer)
- 320 miles
Correct answer: 300 miles
Speed = 180 รท 3 = 60 mph; distance in 5 hours = 60 ร 5 = 300 miles.
Question 6: Which fraction is largest: 3/7, 4/9, 5/11, or 2/5?
- 3/7
- 4/9
- 5/11 (Correct answer)
- 2/5
Correct answer: 5/11
Converting to decimals: 3/7โ0.429, 4/9โ0.444, 5/11โ0.455, 2/5=0.400; so 5/11 is the largest.
Question 7: A rectangle has a perimeter of 54 cm. If its length is twice its width, what is its area?
- 162 sq cm (Correct answer)
- 108 sq cm
- 81 sq cm
- 243 sq cm
Correct answer: 162 sq cm
2(w + 2w) = 54 gives w = 9, l = 18; area = 9 ร 18 = 162 sq cm.
A store marks up items by 40% then offers a 20% discount.
What is the net effect on the original price?