CCAT Numerical Reasoning 4 ā Questions and Answers
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?
- $28,000
- $30,000 (Correct answer)
- $25,000
- $35,000
Correct answer: $30,000
Commission = $3,500 - $2,000 = $1,500; sales = $1,500 Ć· 0.05 = $30,000.
Question 2: What number is missing? 2, 5, 10, 17, 26, ___, 50
- 35
- 36
- 37 (Correct answer)
- 38
Correct answer: 37
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 2pĀ² ā 3q?
- 41 (Correct answer)
- 23
- 32
- 47
Correct answer: 41
2(4Ā²) ā 3(ā3) = 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?
- 3/8 (Correct answer)
- 5/8
- 1/3
- 3/5
Correct answer: 3/8
Probability = 3 Ć· (5 + 3) = 3/8.
Question 5: Which value of x satisfies 3x + 7 = 22?
- 6
- 5 (Correct answer)
- 4
- 7
Correct answer: 5
3x = 22 - 7 = 15; x = 15 Ć· 3 = 5.
Question 6: A company's revenue grew from $500,000 to $650,000. What was the percentage increase?
- 25%
- 30% (Correct answer)
- 15%
- 20%
Correct answer: 30%
Increase = $150,000; percentage = ($150,000 Ć· $500,000) Ć 100 = 30%.
Question 7: A map uses a scale of 1 inch = 25 miles. Two cities are 3.6 inches apart on the map. What is the actual distance?
- 80 miles
- 85 miles
- 90 miles (Correct answer)
- 95 miles
Correct answer: 90 miles
Actual distance = 3.6 Ć 25 = 90 miles.
CCAT Numerical Reasoning 4
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?