OTEE Mathematical Aptitude 2

Question 1

A squad of 24 soldiers is divided in a 3:5 ratio. How many soldiers are in the larger group?

Accepted Answer

15

Answer

The larger share is 5/(3+5) × 24 = 15 soldiers.

Question 2

A military vehicle travels 240 miles on 8 gallons of fuel. How many gallons are needed for a 390-mile mission?

Accepted Answer

13

Answer

The vehicle gets 30 mpg, so 390 ÷ 30 = 13 gallons.

Question 3

A cadet's test score improved from 65 to 78. What is the percentage increase?

Accepted Answer

20%

Answer

Percentage increase = (78 − 65) / 65 × 100 = 20%.

Question 4

If 30% of a unit's 120 members are officers, how many are non-officers?

Accepted Answer

84

Answer

30% of 120 = 36 officers, so 120 − 36 = 84 non-officers.

Question 5

A field mixture requires a salt-to-water ratio of 1:8. How much salt is needed for 72 liters of water?

Accepted Answer

9 liters

Answer

72 ÷ 8 = 9 liters of salt.

(OTEE) Officer Trainee Entrance Exam Practice Test