Civil Service Numerical Reasoning Test Time, Speed and Logical Numerical Reasoning 2 — Questions and Answers
Question 1: A project takes 3 workers 20 days to complete. How long would it take 4 workers (at the same rate)?
- 15 days (Correct answer)
- 18 days
- 12 days
- 10 days
Correct answer: 15 days
Total work = 3 × 20 = 60 worker-days. Time for 4 workers = 60 ÷ 4 = 15 days.
Question 2: A train journey is 180 miles. The train travels the first 60 miles at 60 mph, then the remaining 120 miles at 80 mph. What is the total journey time?
- 2 hours 30 minutes (Correct answer)
- 3 hours
- 2 hours
- 2 hours 45 minutes
Correct answer: 2 hours 30 minutes
First section: 60 ÷ 60 = 1 hour. Second section: 120 ÷ 80 = 1.5 hours. Total = 2.5 hours = 2 hours 30 minutes.
Question 3: A clock shows 3:45 PM. What time will it show 4 hours and 50 minutes later?
- 8:35 PM (Correct answer)
- 8:25 PM
- 9:35 PM
- 8:45 PM
Correct answer: 8:35 PM
3:45 + 4 hours = 7:45. 7:45 + 50 minutes = 8:35 PM.
Question 4: A car travels 420 km in 3.5 hours. What is its average speed?
- 120 km/h (Correct answer)
- 100 km/h
- 140 km/h
- 110 km/h
Correct answer: 120 km/h
Speed = 420 ÷ 3.5 = 120 km/h.
Question 5: A machine produces 150 units per hour. How long will it take to produce 900 units?
- 6 hours (Correct answer)
- 5 hours
- 7 hours
- 8 hours
Correct answer: 6 hours
Time = 900 ÷ 150 = 6 hours.
Question 6: A worker earns £12.50 per hour. How much do they earn for a 37.5-hour working week?
- £468.75 (Correct answer)
- £450
- £487.50
- £462.50
Correct answer: £468.75
Earnings = £12.50 × 37.5 = £468.75.
A project takes 3 workers 20 days to complete.
How long would it take 4 workers (at the same rate)?