Numerical Reasoning and Computation Flashcards

An RCMP division's overtime costs rose from $210,000 to $252,000. What is the percentage increase in overtime costs?

Answer: 20%

Increase = $42,000; percentage = ($42,000 ÷ $210,000) × 100 = 20%.

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?

Answer: $2,293.20

Deductions = $2,940 × 0.22 = $646.80; net = $2,940 − $646.80 = $2,293.20.

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?

Answer: 21 km²

Area searched = 12 × 3.5 = 42 km²; remaining = 63 − 42 = 21 km².

In a lineup of 5 suspects, what is the ratio of the number of possible arrangements to the number of suspects?

Answer: 24:1

Arrangements = 5! = 120; ratio = 120:5 = 24:1.

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?

Answer: $832

Total liters = 65 × 8 = 520; cost = 520 × $1.60 = $832.

An officer completes a 5 km fitness run in 28 minutes. What is the officer's average pace in minutes per kilometer?

Answer: 5.6 min/km

Pace = 28 ÷ 5 = 5.6 minutes per kilometer.

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?

Answer: 111

Arrests = (3/8) × 296 = 888 ÷ 8 = 111.