RCMP Numerical Reasoning and Computation 5 — Questions and Answers
Question 1: An RCMP division's overtime costs rose from $210,000 to $252,000. What is the percentage increase in overtime costs?
- 16%
- 18%
- 20% (Correct answer)
- 22%
Correct answer: 20%
Increase = $42,000; percentage = ($42,000 ÷ $210,000) × 100 = 20%.
Question 2: A constable's biweekly gross pay is $2,940. If 22% is withheld for taxes and benefits, what is the net take-home pay per pay period?
- $2,153.20
- $2,233.20
- $2,293.20 (Correct answer)
- $2,353.20
Correct answer: $2,293.20
Deductions = $2,940 × 0.22 = $646.80; net = $2,940 − $646.80 = $2,293.20.
Question 3: A search-and-rescue team covers 12 km² per hour. After 3.5 hours, what area remains unsearched if the total search zone is 63 km²?
- 18 km²
- 21 km² (Correct answer)
- 24 km²
- 27 km²
Correct answer: 21 km²
Area searched = 12 × 3.5 = 42 km²; remaining = 63 − 42 = 21 km².
Question 4: In a lineup of 5 suspects, what is the ratio of the number of possible arrangements to the number of suspects?
- 12:1
- 20:1
- 24:1 (Correct answer)
- 25:1
Correct answer: 24:1
Arrangements = 5! = 120; ratio = 120:5 = 24:1.
Question 5: A detachment's vehicle fleet uses an average of 65 liters of fuel per vehicle per week. With 8 vehicles and fuel priced at $1.60/liter, what is the weekly fuel cost?
- $728
- $832 (Correct answer)
- $896
- $960
Correct answer: $832
Total liters = 65 × 8 = 520; cost = 520 × $1.60 = $832.
Question 6: An officer completes a 5 km fitness run in 28 minutes. What is the officer's average pace in minutes per kilometer?
- 5.2 min/km
- 5.4 min/km
- 5.6 min/km (Correct answer)
- 5.8 min/km
Correct answer: 5.6 min/km
Pace = 28 ÷ 5 = 5.6 minutes per kilometer.
Question 7: A crime statistics report shows that 3 out of every 8 reported thefts result in an arrest. If 296 thefts were reported last quarter, how many resulted in arrests?
- 99
- 108
- 111 (Correct answer)
- 120
Correct answer: 111
Arrests = (3/8) × 296 = 888 ÷ 8 = 111.
RCMP Numerical Reasoning and Computation 5
An RCMP division's overtime costs rose from $210,000 to $252,000.
What is the percentage increase in overtime costs?