CCAT Numerical Reasoning 3

Question 1

What is the next number in the series: 100, 91, 83, 76, 70, ___?

Accepted Answer

65

Answer

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?

Accepted Answer

$120

Answer

$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?

Accepted Answer

1:00 PM

Answer

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?

Accepted Answer

60

Answer

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?

Accepted Answer

36 gallons

Answer

18 gallons represents 3/4 − 1/4 = 1/2 the tank; total = 18 × 2 = 36 gallons.

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