AMCAT Quantitative Ability 1 — Questions and Answers
Question 1: A train travels 360 miles in 6 hours. What is its average speed in miles per hour?
- 50
- 55
- 60 (Correct answer)
- 65
Correct answer: 60
Average speed = total distance ÷ total time = 360 ÷ 6 = 60 mph.
Question 2: If 15% of a number is 45, what is the number?
- 250
- 300 (Correct answer)
- 275
- 325
Correct answer: 300
Number = 45 ÷ 0.15 = 300.
Question 3: The ratio of boys to girls in a class is 3:4. If there are 28 girls, how many boys are there?
- 18
- 21 (Correct answer)
- 24
- 27
Correct answer: 21
Boys = (3/4) × 28 = 21.
Question 4: A shopkeeper sells an item at $120, making a 20% profit. What was the cost price?
- $90
- $96
- $100 (Correct answer)
- $108
Correct answer: $100
Cost price = Selling price ÷ (1 + profit%) = 120 ÷ 1.20 = $100.
Question 5: Two numbers are in the ratio 5:7. If their sum is 144, what is the larger number?
- 60
- 72
- 78
- 84 (Correct answer)
Correct answer: 84
Larger number = (7/12) × 144 = 84.
Question 6: What is the simple interest on $2,000 at 5% per annum for 3 years?
- $250
- $300 (Correct answer)
- $350
- $400
Correct answer: $300
Simple Interest = Principal × Rate × Time = 2000 × 0.05 × 3 = $300.
AMCAT Quantitative Ability 1
A train travels 360 miles in 6 hours.
What is its average speed in miles per hour?