COOP Quantitative Reasoning 5 — Questions and Answers
Question 1: A school fundraiser sold 240 tickets. Adult tickets cost $5 and children's tickets cost $3. If $960 was collected, how many adult tickets were sold?
- 80
- 100
- 120 (Correct answer)
- 60
Correct answer: 120
Let a = adult tickets; 5a + 3(240−a) = 960 → 2a = 240 → a = 120.
Question 2: What is 40% of 3/4?
- 0.3 (Correct answer)
- 0.25
- 0.4
- 0.35
Correct answer: 0.3
3/4 = 0.75; 40% of 0.75 = 0.40 × 0.75 = 0.30.
Question 3: A jar contains coins: 10 quarters, 8 dimes, and 6 nickels. What is the total value?
- $3.40
- $3.50
- $3.60 (Correct answer)
- $3.70
Correct answer: $3.60
10 × $0.25 + 8 × $0.10 + 6 × $0.05 = $2.50 + $0.80 + $0.30 = $3.60.
Question 4: If 3 workers can complete a job in 12 days, how many days would it take 9 workers to complete the same job?
- 3
- 4 (Correct answer)
- 6
- 2
Correct answer: 4
Total work = 3 × 12 = 36 worker-days; 36 ÷ 9 = 4 days.
Question 5: The product of two consecutive even integers is 48. What is the smaller integer?
- 4
- 6 (Correct answer)
- 8
- 2
Correct answer: 6
6 × 8 = 48, so the smaller consecutive even integer is 6.
Question 6: A triangle has sides of length 7, 24, and 25. What type of triangle is it?
- Acute
- Obtuse
- Right (Correct answer)
- Equilateral
Correct answer: Right
7² + 24² = 49 + 576 = 625 = 25², confirming it is a right triangle.
Question 7: If a number is decreased by 20% and then increased by 20%, what is the net percentage change?
- 0%
- −4% (Correct answer)
- 4%
- −2%
Correct answer: −4%
Starting with 100: after −20% = 80; after +20% of 80 = 96; net change = −4%.
COOP Quantitative Reasoning 5
A school fundraiser sold 240 tickets.
Adult tickets cost $5 and children's tickets cost $3.
If $960 was collected, how many adult tickets were sold?