LAPD Mathematical Reasoning and Problem Solving 2 — Questions and Answers
Question 1: A suspect fled at 5:47 PM and was apprehended at 6:23 PM. How long was the suspect at large?
- 34 minutes
- 36 minutes (Correct answer)
- 38 minutes
- 46 minutes
Correct answer: 36 minutes
From 5:47 PM to 6:23 PM is 36 minutes.
Question 2: If 3 officers can patrol a 12-block area in 2 hours, how long would it take 6 officers to patrol the same area?
- 30 minutes
- 45 minutes
- 1 hour (Correct answer)
- 1.5 hours
Correct answer: 1 hour
Doubling the officers halves the time: 2 hours ÷ 2 = 1 hour.
Question 3: An officer earns $62,400 per year. What is her biweekly (every two weeks) gross pay?
- $2,200
- $2,400 (Correct answer)
- $2,600
- $2,800
Correct answer: $2,400
There are 26 biweekly periods in a year; $62,400 ÷ 26 = $2,400.
Question 4: A crime scene photograph is taken at a scale of 1 inch = 4 feet. If a measurement in the photo is 3.5 inches, what is the actual distance?
- 10 feet
- 12 feet
- 14 feet (Correct answer)
- 16 feet
Correct answer: 14 feet
3.5 inches × 4 feet/inch = 14 feet.
Question 5: A patrol district reported 120 burglaries last year and 90 this year. What is the percentage decrease?
- 20%
- 25% (Correct answer)
- 30%
- 33%
Correct answer: 25%
Decrease = 30; 30 ÷ 120 = 0.25 = 25% decrease.
Question 6: Officers must walk 5 miles each day as part of foot patrol. Officer Chen worked 22 days last month. How many miles did he walk on patrol?
- 100 miles
- 105 miles
- 110 miles (Correct answer)
- 115 miles
Correct answer: 110 miles
5 miles × 22 days = 110 miles.
Question 7: A police vehicle uses 1 gallon of fuel every 18 miles. If a tank holds 20 gallons, how far can the vehicle travel on a full tank?
- 300 miles
- 320 miles
- 340 miles
- 360 miles (Correct answer)
Correct answer: 360 miles
20 gallons × 18 miles/gallon = 360 miles.
LAPD Mathematical Reasoning and Problem Solving 2
A suspect fled at 5:47 PM and was apprehended at 6:23 PM.
How long was the suspect at large?