PELLET B Mathematical Reasoning & Problem Solving 3

Question 1

A department processes 1,200 cases per year. If they increase efficiency by 15%, how many cases will they process?

Accepted Answer

1,380

Answer

15% of 1,200 = 180. New total: 1,200 + 180 = 1,380.

Question 2

An officer works an 8-hour shift. If 30% is spent on patrol, 25% on reports, and 15% on court, how many hours remain?

Accepted Answer

2.4 hours

Answer

Allocated: 70%. Remaining: 30% of 8 hours = 2.4 hours.

Question 3

If a radar gun shows a vehicle traveling at 72 feet per second, approximately how fast is that in miles per hour?

Accepted Answer

49 mph

Answer

72 x 3,600 / 5,280 = 49.1 mph, approximately 49 mph.

Question 4

A rectangular parking lot is 200 feet by 150 feet. If each parking space requires 180 square feet, what is the maximum number of spaces?

Accepted Answer

166

Answer

Area = 30,000 sq ft. Spaces = 30,000 / 180 = 166.67, maximum 166.

Question 5

Three officers split a $750 overtime fund in the ratio 3:2:1. How much does the officer with the largest share receive?

Accepted Answer

$375

Answer

Total parts: 6. Largest share: 3/6 x $750 = $375.

PELLET B Test Practice Test