CJBAT Arithmetic Reasoning 4

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?

Accepted Answer

$18,000

Answer

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?

Accepted Answer

$28.80

Answer

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?

Accepted Answer

3 blocks

Answer

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?

Accepted Answer

180

Answer

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?

Accepted Answer

5 hours

Answer

Total officer-hours needed = 5 × 3 = 15; with 3 officers: 15 ÷ 3 = 5 hours.

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