Numerical Reasoning Skills Flashcards

A police department has a 1:500 officer-to-resident ratio. If the city has 87,500 residents, how many officers are assigned?

Answer: 175

87,500 ÷ 500 = 175 officers.

Over 5 days, an officer files the following number of reports: 4, 7, 3, 6, 5. What is the range of reports filed?

Answer: 4

Range = maximum − minimum = 7 − 3 = 4.

An evidence locker holds 320 items. If 45 items were checked out and 18 were returned, how many items are currently in the locker?

Answer: 293

320 − 45 + 18 = 293 items.

A training course costs $1,800 per officer. If the department trains 12 officers but receives a 15% group discount, what is the total cost?

Answer: $18,360

Full cost = 12 × $1,800 = $21,600; discount = 15% × $21,600 = $3,240; total = $21,600 − $3,240 = $18,360.

A suspect's vehicle was clocked at 85 mph in a 55 mph zone. By what percentage did the speed exceed the limit?

Answer: ~54%

Excess = 85 − 55 = 30 mph; percentage = 30 ÷ 55 × 100 ≈ 54.5%.

A police log shows 360 calls handled in 30 days. If weekdays average 14 calls/day and weekends average 8 calls/day, does this 30-day month (22 weekdays, 8 weekend days) match the log?

Answer: No, actual total is 344 calls

22 × 14 + 8 × 8 = 308 + 64 = 372... let me recalc: 22×14=308, 8×8=64, total=372, so answer B. Wait: 22×14=308, 8×8=64, 308+64=372.

If a precinct's overtime budget is $48,000 and the average overtime rate is $40 per hour, how many total overtime hours can be approved?

Answer: 1,200

$48,000 ÷ $40 per hour = 1,200 overtime hours.