AMCAT Quantitative Ability

Question 1

A train travels 360 miles in 6 hours. What is its average speed in miles per hour?

Accepted Answer

60

Answer

Average speed = total distance ÷ total time = 360 ÷ 6 = 60 mph.

Question 2

If 15% of a number is 45, what is the number?

Accepted Answer

300

Answer

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?

Accepted Answer

21

Answer

Boys = (3/4) × 28 = 21.

Question 4

A shopkeeper sells an item at $120, making a 20% profit. What was the cost price?

Accepted Answer

$100

Answer

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?

Accepted Answer

84

Answer

Larger number = (7/12) × 144 = 84.

AMCAT Practice Test