Arithmetic Reasoning Flashcards

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?

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.

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?

Answer: $28.80

240 ÷ 30 = 8 gallons; 8 × $3.60 = $28.80.

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?

Answer: 3 blocks

North movement: 5 − 2 = 3 blocks north; east movement: 3 − 1 = 2 blocks east; suspect is 3 blocks north of start.

A precinct logs 144 incidents over 12 weeks. If incidents increase by 25% the next 12-week period, how many incidents are expected?

Answer: 180

144 × 1.25 = 180 incidents.

If 5 officers can complete a security sweep in 3 hours, how long would the same sweep take if only 3 officers are available?

Answer: 5 hours

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

A detective earns $62,400 per year. After a 6.5% raise, what is the new annual salary?

Answer: $66,456

$62,400 × 0.065 = $4,056 raise; $62,400 + $4,056 = $66,456.

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?

Answer: 6

2/3 × 18 = 12 currently held; 18 − 12 = 6 more can be added.