Numerical Reasoning Skills Flashcards

A town's crime rate decreased from 480 incidents per year to 360 incidents per year. What is the percentage decrease?

Answer: 25%

Decrease = 480 − 360 = 120; percentage = 120 ÷ 480 × 100 = 25%.

An officer issues citations at a ratio of 3 speeding tickets for every 2 parking violations. If she issued 25 citations total, how many were speeding tickets?

Answer: 15

Ratio 3:2 means 3/5 of citations are speeding; 3/5 × 25 = 15.

A patrol car gets 22 miles per gallon. If gas costs $3.50 per gallon, what is the fuel cost to drive 110 miles?

Answer: $17.50

Gallons needed = 110 ÷ 22 = 5; cost = 5 × $3.50 = $17.50.

A suspect ran for 2.5 minutes before being caught. If the officer ran at 12 mph and the suspect ran at 9 mph, how far (in feet) did the officer cover? (1 mile = 5,280 feet)

Answer: 2,640 ft

12 mph × (2.5/60) hr = 0.5 miles; 0.5 × 5,280 = 2,640 feet.

Shift A arrests 18 people, Shift B arrests 12, and Shift C arrests 15. What percentage of total arrests came from Shift B?

Answer: 26.7%

Total = 18 + 12 + 15 = 45; Shift B % = 12 ÷ 45 × 100 = 26.7%.

An officer's annual salary is $62,400. What is his bi-weekly gross pay?

Answer: $2,400

There are 26 bi-weekly periods per year; $62,400 ÷ 26 = $2,400.

A crime mapping grid is 8 km × 6 km. If a unit can patrol 12 km² per hour, how many hours are needed to cover the entire grid?

Answer: 4 hours

Grid area = 8 × 6 = 48 km²; 48 ÷ 12 = 4 hours.