OTEE Mathematical Aptitude 2 — Questions and Answers
Question 1: A squad of 24 soldiers is divided in a 3:5 ratio. How many soldiers are in the larger group?
- 9
- 15 (Correct answer)
- 12
- 18
Correct answer: 15
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?
- 10
- 11
- 13 (Correct answer)
- 15
Correct answer: 13
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?
- 20% (Correct answer)
- 15%
- 18%
- 25%
Correct answer: 20%
Percentage increase = (78 − 65) / 65 × 100 = 20%.
Question 4: If 30% of a unit's 120 members are officers, how many are non-officers?
- 36
- 72
- 84 (Correct answer)
- 90
Correct answer: 84
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?
- 8 liters
- 9 liters (Correct answer)
- 10 liters
- 12 liters
Correct answer: 9 liters
72 ÷ 8 = 9 liters of salt.
Question 6: A cadet answers 80% of 50 test questions correctly. How many questions were answered incorrectly?
- 8
- 12
- 10 (Correct answer)
- 15
Correct answer: 10
80% of 50 = 40 correct, so 50 − 40 = 10 incorrect.
Question 7: Two soldiers can each complete a task alone in 6 hours and 9 hours respectively. How long will they take working together?
- 3.0 hours
- 4.5 hours
- 7.5 hours
- 3.6 hours (Correct answer)
Correct answer: 3.6 hours
Combined rate = 1/6 + 1/9 = 5/18 per hour, so time = 18/5 = 3.6 hours.
OTEE Mathematical Aptitude 2
A squad of 24 soldiers is divided in a 3:5 ratio.
How many soldiers are in the larger group?