CJBAT Arithmetic Reasoning 4 — Questions and Answers
Question 1: A police department has a budget of $48,000 for equipment. If they spend 3/8 on vehicles and 1/4 on uniforms, how much remains?
- $18,000 (Correct answer)
- $21,000
- $24,000
- $30,000
Correct answer: $18,000
3/8 + 1/4 = 3/8 + 2/8 = 5/8 spent; 5/8 × $48,000 = $30,000; $48,000 − $30,000 = $18,000.
Question 2: An officer drives 240 miles on patrol and averages 30 miles per gallon. If gas costs $3.60 per gallon, what is the total fuel cost?
- $24.00
- $28.80 (Correct answer)
- $32.40
- $36.00
Correct answer: $28.80
240 ÷ 30 = 8 gallons; 8 × $3.60 = $28.80.
Question 3: A suspect ran 5 blocks north, 3 blocks east, 2 blocks south, and 1 block west. How many blocks north of the starting point is the suspect?
- 1 block
- 2 blocks
- 3 blocks (Correct answer)
- 4 blocks
Correct answer: 3 blocks
North movement: 5 − 2 = 3 blocks north; east movement: 3 − 1 = 2 blocks east; suspect is 3 blocks north of start.
Question 4: A precinct logs 144 incidents over 12 weeks. If incidents increase by 25% the next 12-week period, how many incidents are expected?
- 160
- 168
- 180 (Correct answer)
- 192
Correct answer: 180
144 × 1.25 = 180 incidents.
Question 5: If 5 officers can complete a security sweep in 3 hours, how long would the same sweep take if only 3 officers are available?
- 4 hours
- 5 hours (Correct answer)
- 6 hours
- 7 hours
Correct answer: 5 hours
Total officer-hours needed = 5 × 3 = 15; with 3 officers: 15 ÷ 3 = 5 hours.
Question 6: A detective earns $62,400 per year. After a 6.5% raise, what is the new annual salary?
- $64,000
- $66,456 (Correct answer)
- $67,200
- $68,000
Correct answer: $66,456
$62,400 × 0.065 = $4,056 raise; $62,400 + $4,056 = $66,456.
Question 7: A holding cell can accommodate 18 people. If it is currently at 2/3 capacity, how many more people can be added before it is full?
- 4
- 6 (Correct answer)
- 8
- 12
Correct answer: 6
2/3 × 18 = 12 currently held; 18 − 12 = 6 more can be added.
CJBAT Arithmetic Reasoning 4
A police department has a budget of $48,000 for equipment.
If they spend 3/8 on vehicles and 1/4 on uniforms, how much remains?