OTEE Reasoning and Numerical Ability 2 — Questions and Answers
Question 1: What comes next in the series: 3, 7, 13, 21, 31, ?
- 37
- 41
- 43 (Correct answer)
- 45
Correct answer: 43
The differences between terms are 4, 6, 8, 10, 12 — increasing by 2 each time, so 31 + 12 = 43.
Question 2: A soldier's monthly salary increased from $2,500 to $3,000. What is the percentage increase?
- 15%
- 20% (Correct answer)
- 25%
- 18%
Correct answer: 20%
Percentage increase = (500 / 2500) × 100 = 20%.
Question 3: Brigade is to Army as Company is to:
- Division
- Battalion (Correct answer)
- Platoon
- Corps
Correct answer: Battalion
A Brigade is a sub-unit of an Army just as a Company is a sub-unit of a Battalion in the military hierarchy.
Question 4: In a training unit, the ratio of officers to enlisted personnel is 2:9. If there are 44 officers, how many enlisted personnel are there?
- 180
- 198 (Correct answer)
- 216
- 220
Correct answer: 198
Each ratio unit equals 44 ÷ 2 = 22, so enlisted personnel = 22 × 9 = 198.
Question 5: A patrol moves 5 km north, then 3 km east, then 5 km south. How far and in which direction is the patrol from its starting point?
- 3 km West
- 5 km North
- 3 km East (Correct answer)
- 8 km Southeast
Correct answer: 3 km East
The 5 km north and 5 km south cancel out, leaving only the 3 km eastward displacement.
Question 6: Two convoys depart from the same base in opposite directions at 60 km/h and 80 km/h respectively. How far apart are they after 3 hours?
- 360 km
- 400 km
- 420 km (Correct answer)
- 480 km
Correct answer: 420 km
Combined speed = 60 + 80 = 140 km/h; distance = 140 × 3 = 420 km.
Question 7: Which number is the odd one out: 121, 144, 169, 196, 225, 256, 315?
- 225
- 256
- 196
- 315 (Correct answer)
Correct answer: 315
All others are perfect squares (11² through 16²), but 315 is not a perfect square (17² = 289, 18² = 324).
OTEE Reasoning and Numerical Ability 2
What comes next in the series: 3, 7, 13, 21, 31, ?