SSPO Numerical Reasoning Skills 3 — Questions and Answers
Question 1: A town's crime rate decreased from 480 incidents per year to 360 incidents per year. What is the percentage decrease?
- 20%
- 25% (Correct answer)
- 30%
- 33%
Correct answer: 25%
Decrease = 480 − 360 = 120; percentage = 120 ÷ 480 × 100 = 25%.
Question 2: 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?
- 10
- 12
- 15 (Correct answer)
- 18
Correct answer: 15
Ratio 3:2 means 3/5 of citations are speeding; 3/5 × 25 = 15.
Question 3: A patrol car gets 22 miles per gallon. If gas costs $3.50 per gallon, what is the fuel cost to drive 110 miles?
- $15.00
- $17.00
- $17.50 (Correct answer)
- $19.25
Correct answer: $17.50
Gallons needed = 110 ÷ 22 = 5; cost = 5 × $3.50 = $17.50.
Question 4: 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)
- 2,200 ft
- 2,640 ft (Correct answer)
- 3,080 ft
- 3,520 ft
Correct answer: 2,640 ft
12 mph × (2.5/60) hr = 0.5 miles; 0.5 × 5,280 = 2,640 feet.
Question 5: Shift A arrests 18 people, Shift B arrests 12, and Shift C arrests 15. What percentage of total arrests came from Shift B?
- 24%
- 26.7% (Correct answer)
- 28%
- 30%
Correct answer: 26.7%
Total = 18 + 12 + 15 = 45; Shift B % = 12 ÷ 45 × 100 = 26.7%.
Question 6: An officer's annual salary is $62,400. What is his bi-weekly gross pay?
- $2,200
- $2,400 (Correct answer)
- $2,600
- $2,800
Correct answer: $2,400
There are 26 bi-weekly periods per year; $62,400 ÷ 26 = $2,400.
Question 7: 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?
- 3 hours
- 4 hours (Correct answer)
- 5 hours
- 6 hours
Correct answer: 4 hours
Grid area = 8 × 6 = 48 km²; 48 ÷ 12 = 4 hours.
A town's crime rate decreased from 480 incidents per year to 360 incidents per year.
What is the percentage decrease?