OTEE - Officer Trainee Entrance Mathematical Aptitude Questions and Answers

Question 1

A patrol car, traveling at 90 km/h, is pursuing a suspect's vehicle which is 500 meters ahead and moving at a constant speed of 75 km/h.
How long will it take for the patrol car to catch up to the suspect's vehicle?

Accepted Answer

120 seconds

Answer

90 seconds

Answer

150 seconds

Answer

180 seconds

Question 2

Three officers can process a crime scene in 10 hours. If two more officers, who work at the same rate, are assigned to the task, how many hours will it take for the team of five officers to process the same crime scene?

Accepted Answer

6 hours

Answer

4 hours

Answer

8 hours

Answer

5 hours

Question 3

The average weight of four seized packages is 25 kg. A fifth package is added, and the new average weight of the five packages is 27 kg. What is the weight of the fifth package?

Accepted Answer

35 kg

Answer

30 kg

Answer

29 kg

Answer

38 kg

Question 4

An intelligence unit is comprised of 8 analysts and 5 field agents. A special task force of 3 members must be formed. What is the probability that the task force will consist of exactly 2 analysts and 1 field agent?

Accepted Answer

70/143

Answer

28/143

Answer

70/286

Answer

140/286

Question 5

A rectangular storage room is 15 meters long and 10 meters wide. The department plans to increase the floor area by 44% by increasing both the length and the width by the same percentage. By what percentage will the length and width be increased?

Accepted Answer

20%

Answer

15%

Answer

22%

Answer

44%

Question 6

A supply clerk is mixing a disinfectant solution. He needs to create a 20-liter batch that is 15% concentrate. He has two stock solutions available: one is 10% concentrate and the other is 30% concentrate. How many liters of the 10% solution must he use?

Accepted Answer

15 liters

Answer

5 liters

Answer

10 liters

Answer

12 liters

A patrol car, traveling at 90 km/h, is pursuing a suspect's vehicle which is 500 meters ahead and moving at a constant speed of 75 km/h.How long will it take for the patrol car to catch up to the suspect's vehicle?

A patrol car, traveling at 90 km/h, is pursuing a suspect's vehicle which is 500 meters ahead and moving at a constant speed of 75 km/h.
How long will it take for the patrol car to catch up to the suspect's vehicle?