Numerical Reasoning Random 3 — Questions and Answers
Question 1: A worker earns $18 per hour and works 42 hours in a week. The first 40 hours are regular pay; overtime is paid at 1.5× the regular rate. What is the total weekly pay?
- $774 (Correct answer)
- $756
- $798
- $762
Correct answer: $774
Regular: 40 × $18 = $720; overtime: 2 × $27 = $54; total = $774.
Question 2: A tank is filled by pipe A in 4 hours and drained by pipe B in 6 hours. If both are open, how long does it take to fill the tank?
- 10 hours
- 12 hours (Correct answer)
- 8 hours
- 9 hours
Correct answer: 12 hours
Net fill rate = 1/4 − 1/6 = 1/12 per hour; time = 12 hours.
Question 3: Stock price rose from $45 to $63. What is the percentage increase?
- 38%
- 42%
- 40% (Correct answer)
- 36%
Correct answer: 40%
Increase = $18; percentage = 18/45 × 100 = 40%.
Question 4: A car depreciates by 15% per year. If it is worth $20,000 today, what will it be worth after 2 years?
- $14,500
- $14,000
- $14,450 (Correct answer)
- $13,600
Correct answer: $14,450
After year 1: $17,000; after year 2: $17,000 × 0.85 = $14,450.
Question 5: Three workers can complete a job in 8 days. How many days would it take 6 workers to complete the same job?
- 3 days
- 4 days (Correct answer)
- 5 days
- 6 days
Correct answer: 4 days
Total work = 3 × 8 = 24 worker-days; 24 ÷ 6 = 4 days.
Question 6: A number is increased by 20% and then decreased by 20%. What is the net percentage change?
- 0%
- −2%
- −4% (Correct answer)
- +2%
Correct answer: −4%
1.20 × 0.80 = 0.96, which represents a 4% net decrease.
Question 7: If 8 items cost $52, what is the cost of 15 items at the same unit price?
- $97.50 (Correct answer)
- $96.50
- $95.50
- $98.50
Correct answer: $97.50
Unit price = $52 ÷ 8 = $6.50; 15 × $6.50 = $97.50.
Numerical Reasoning Random 3
A worker earns $18 per hour and works 42 hours in a week.
The first 40 hours are regular pay; overtime is paid at 1.5× the regular rate.
What is the total weekly pay?