CCAT Numerical Reasoning 4

Question 1

A salesperson earns a $2,000/month base salary plus 5% commission on sales. She earned $3,500 last month. What were her total sales?

Accepted Answer

$30,000

Answer

Commission = $3,500 - $2,000 = $1,500; sales = $1,500 ÷ 0.05 = $30,000.

Question 2

What number is missing? 2, 5, 10, 17, 26, ___, 50

Accepted Answer

37

Answer

Differences increase by 2 each step: +3, +5, +7, +9, +11; so 26 + 11 = 37.

Question 3

If p = 4 and q = -3, what is the value of 2p² − 3q?

Accepted Answer

41

Answer

2(4²) − 3(−3) = 2(16) + 9 = 32 + 9 = 41.

Question 4

A bag contains 5 red and 3 blue marbles. What is the probability of randomly drawing a blue marble?

Accepted Answer

3/8

Answer

Probability = 3 ÷ (5 + 3) = 3/8.

Question 5

Which value of x satisfies 3x + 7 = 22?

Accepted Answer

5

Answer

3x = 22 - 7 = 15; x = 15 ÷ 3 = 5.

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