CJBAT Arithmetic Reasoning 5 — Questions and Answers
Question 1: A patrol officer completes a report every 45 minutes. In an 8-hour shift, how many complete reports can the officer finish?
- 8
- 9
- 10 (Correct answer)
- 11
Correct answer: 10
8 hours = 480 minutes; 480 ÷ 45 = 10.67, so 10 complete reports.
Question 2: A crime scene covers a rectangular area measuring 24 feet by 15 feet. What is the perimeter of the secured area?
- 72 feet
- 78 feet (Correct answer)
- 80 feet
- 360 feet
Correct answer: 78 feet
Perimeter = 2 × (24 + 15) = 2 × 39 = 78 feet.
Question 3: An officer issued 7 tickets on Monday, 4 on Tuesday, 9 on Wednesday, 5 on Thursday, and 10 on Friday. What is the daily average?
- 6
- 7 (Correct answer)
- 8
- 9
Correct answer: 7
Total = 7 + 4 + 9 + 5 + 10 = 35; average = 35 ÷ 5 = 7.
Question 4: A police vehicle depreciates 15% per year. If it is worth $32,000 today, what will it be worth after one year?
- $4,800
- $27,200 (Correct answer)
- $28,800
- $30,400
Correct answer: $27,200
$32,000 × 0.15 = $4,800 loss; $32,000 − $4,800 = $27,200.
Question 5: A suspect's car travels at 75 mph with a 15-minute head start. Police travel at 90 mph. How many minutes after police begin pursuit will they catch the suspect?
- 45 minutes
- 60 minutes
- 75 minutes (Correct answer)
- 90 minutes
Correct answer: 75 minutes
Head-start distance = 75 × (15/60) = 18.75 miles; closing speed = 90 − 75 = 15 mph; catch time = 18.75 ÷ 15 = 1.25 hours = 75 minutes.
Question 6: A theft totals $1,350. Three suspects split the goods equally and each sells their share for 40% less than face value. How much does each suspect receive?
- $180
- $270 (Correct answer)
- $320
- $450
Correct answer: $270
Each share = $1,350 ÷ 3 = $450; sold at 60% of face value = $450 × 0.60 = $270.
Question 7: Of 200 law enforcement applicants, 35% pass the written exam. Of those, 40% pass the physical test. How many applicants pass both?
- 24
- 28 (Correct answer)
- 32
- 35
Correct answer: 28
Pass written: 200 × 0.35 = 70; pass physical: 70 × 0.40 = 28.
CJBAT Arithmetic Reasoning 5
A patrol officer completes a report every 45 minutes.
In an 8-hour shift, how many complete reports can the officer finish?