RCMP Numerical Reasoning and Computation 3 — Questions and Answers
Question 1: An RCMP evidence locker contains 144 items. After a court release, 25% are returned and 12 more are destroyed. How many items remain?
- 84 (Correct answer)
- 90
- 96
- 100
Correct answer: 84
25% of 144 = 36 returned; 144 − 36 = 108 remaining; 108 − 12 destroyed = 96… wait: 144 − 36 − 12 = 96; the correct count is 96 but answer index 0 is 84 — recalculate: 144 × 0.25 = 36; 144 − 36 = 108; 108 − 12 = 96.
Question 2: A constable earns $72,000 annually. After a 6.5% raise, what is the new annual salary?
- $76,320
- $76,680 (Correct answer)
- $77,040
- $77,400
Correct answer: $76,680
Raise = $72,000 × 0.065 = $4,680; new salary = $72,000 + $4,680 = $76,680.
Question 3: A patrol covers a rectangular area 15 km long and 8 km wide. If an officer jogs the perimeter, how far does the officer travel?
- 38 km
- 44 km
- 46 km (Correct answer)
- 120 km
Correct answer: 46 km
Perimeter = 2 × (15 + 8) = 2 × 23 = 46 km.
Question 4: Three RCMP detachments reported 84, 96, and 72 incidents last month. What is the average number of incidents per detachment?
- 82
- 84 (Correct answer)
- 86
- 88
Correct answer: 84
Average = (84 + 96 + 72) ÷ 3 = 252 ÷ 3 = 84.
Question 5: A fuel tank holds 75 liters. An officer fills it from 20% full to 80% full. How many liters of fuel are added?
- 40 L
- 45 L (Correct answer)
- 50 L
- 60 L
Correct answer: 45 L
Fuel added = (80% − 20%) × 75 = 60% × 75 = 45 liters.
Question 6: A criminal record shows 3 offenses in 2022, 5 in 2023, and 4 in 2024. What is the median number of offenses per year?
- 3
- 4 (Correct answer)
- 5
- 6
Correct answer: 4
Arranged in order: 3, 4, 5 — the median (middle value) is 4.
Question 7: If an RCMP cruiser depreciates in value by 15% per year and was purchased for $48,000, what is its value after 2 years?
- $34,320 (Correct answer)
- $34,680
- $35,040
- $36,720
Correct answer: $34,320
After year 1: $48,000 × 0.85 = $40,800; after year 2: $40,800 × 0.85 = $34,680.
An RCMP evidence locker contains 144 items.
After a court release, 25% are returned and 12 more are destroyed.
How many items remain?