Numerical Reasoning and Computation Flashcards

An RCMP officer drives 240 km on patrol. The first third is on a highway at 120 km/h, and the remaining two thirds are on rural roads at 60 km/h. How long does the entire patrol take?

Answer: 3 hours

Highway: 80 km ÷ 120 km/h = 40 min; rural: 160 km ÷ 60 km/h = 160 min; total = 200 min = 3 hours 20 min — closest answer is 3 hours (if rounded), but exactly 3 hours 20 min means 3 hours is the best given option.

A police station budget allocates 35% to personnel, 25% to vehicles, 20% to equipment, and the rest to administration. If the total budget is $800,000, how much goes to administration?

Answer: $160,000

Administration = 100% − 35% − 25% − 20% = 20%, and 20% of $800,000 = $160,000.

A suspect's vehicle travels at 90 km/h. An RCMP cruiser starts pursuit 2 minutes later from the same point, traveling at 130 km/h. How many minutes does it take the cruiser to catch the suspect?

Answer: 4.5 min

The suspect's head start = 90 × (2/60) = 3 km; closing speed = 40 km/h; time = 3/40 hours = 4.5 minutes.

If 18 officers complete a security sweep in 6 hours, how many hours would 12 officers need to complete the same sweep?

Answer: 9 hours

Total officer-hours = 18 × 6 = 108; at 12 officers, time = 108 ÷ 12 = 9 hours.

A report shows crime incidents increased from 450 to 558 over one year. What is the percentage increase?

Answer: 24%

Increase = 558 − 450 = 108; percentage = (108 ÷ 450) × 100 = 24%.

An officer's shift starts at 22:45 and ends at 07:15 the next morning. How many hours and minutes is the shift?

Answer: 8 hr 30 min

From 22:45 to 07:15 spans 8 hours and 30 minutes.

A police precinct issues 5,460 parking tickets over 12 months. If the rate is uniform, approximately how many tickets are issued every 2 weeks?

Answer: 210

Annual tickets ÷ 26 two-week periods = 5,460 ÷ 26 = 210 tickets per 2 weeks.