RCMP Numerical Reasoning and Computation 4 — Questions and Answers
Question 1: A detachment processes 9 cases per officer per week. If there are 14 officers and 3 are on leave, how many cases are processed in 4 weeks?
- 324
- 352
- 396 (Correct answer)
- 504
Correct answer: 396
Active officers = 14 − 3 = 11; cases per week = 11 × 9 = 99; over 4 weeks = 99 × 4 = 396.
Question 2: A speed radar clocks a vehicle at 112 km/h in a 90 km/h zone. By what percentage is the driver exceeding the speed limit?
- 19.8%
- 22.2% (Correct answer)
- 24.4%
- 26.6%
Correct answer: 22.2%
Excess = 22 km/h; percentage = (22 ÷ 90) × 100 ≈ 24.4%.
Question 3: An officer writes reports at a rate of 3 reports per hour. If a shift is 8 hours and 2.5 hours are spent on patrol, how many reports can the officer complete?
- 12
- 15 (Correct answer)
- 16
- 18
Correct answer: 15
Time available for reports = 8 − 2.5 = 5.5 hours; reports = 5.5 × 3 = 16.5, so 16 complete reports — but 5.5 × 3 = 16.5, rounded down = 16.
Question 4: A table shows arrest rates: Monday 12, Tuesday 15, Wednesday 9, Thursday 18, Friday 21. What is the range of daily arrests?
- 9
- 10
- 12 (Correct answer)
- 15
Correct answer: 12
Range = maximum − minimum = 21 − 9 = 12.
Question 5: Two officers independently patrol overlapping sectors. Together they cover 540 km² in 6 hours. One officer covers 60 km²/h. How much area per hour does the second officer cover?
- 20 km²/h
- 25 km²/h
- 30 km²/h (Correct answer)
- 35 km²/h
Correct answer: 30 km²/h
Combined rate = 540 ÷ 6 = 90 km²/h; second officer = 90 − 60 = 30 km²/h.
Question 6: An RCMP applicant scored 78 out of 120 on a written test. What percentage did the applicant score?
- 60%
- 62%
- 65% (Correct answer)
- 68%
Correct answer: 65%
(78 ÷ 120) × 100 = 65%.
Question 7: A police helicopter travels 480 km in 1.5 hours. A ground unit travels the same route at 80 km/h. How much longer does the ground unit take than the helicopter?
- 3.5 hours
- 4 hours
- 4.5 hours (Correct answer)
- 5 hours
Correct answer: 4.5 hours
Helicopter time = 1.5 hr; ground time = 480 ÷ 80 = 6 hr; difference = 6 − 1.5 = 4.5 hours.
RCMP Numerical Reasoning and Computation 4
A detachment processes 9 cases per officer per week.
If there are 14 officers and 3 are on leave, how many cases are processed in 4 weeks?