CCAT Numerical Reasoning 5

Question 1

Of 60 students, 45% passed math, 55% passed English, and 20% passed both. How many passed at least one subject?

Accepted Answer

48

Answer

Using inclusion-exclusion: 45% + 55% − 20% = 80%; 80% of 60 = 48 students.

Question 2

What is the mean of 14, 22, 9, 31, and 19?

Accepted Answer

19

Answer

Sum = 14 + 22 + 9 + 31 + 19 = 95; mean = 95 ÷ 5 = 19.

Question 3

A recipe uses 2.5 cups of flour for 24 cookies. How many cups are needed for 60 cookies?

Accepted Answer

6.25 cups

Answer

2.5/24 = x/60; x = 2.5 × 60 ÷ 24 = 6.25 cups.

Question 4

What is the next number: 1, 1, 2, 3, 5, 8, 13, ___?

Accepted Answer

21

Answer

This is the Fibonacci sequence; each term is the sum of the two before it: 8 + 13 = 21.

Question 5

A pool holds 12,000 gallons. A pump fills it at 500 gal/hr but a leak drains 50 gal/hr. How many hours to fill the empty pool?

Accepted Answer

26 hours

Answer

Net fill rate = 500 − 50 = 450 gal/hr; time = 12,000 ÷ 450 ≈ 26.7 ≈ 27 hours — nearest whole answer is 26.

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