CADET Mathematics and Problem Solving 2 — Questions and Answers
Question 1: A military unit has 120 personnel. If 25% are on leave, how many are present for duty?
- 90 (Correct answer)
- 30
- 95
- 85
Correct answer: 90
25% of 120 = 30 on leave; 120 − 30 = 90 present for duty.
Question 2: If a radio signal repeats every 45 seconds, how many times will it repeat in 15 minutes?
- 20 (Correct answer)
- 15
- 30
- 25
Correct answer: 20
15 minutes = 900 seconds; 900 ÷ 45 = 20 repetitions.
Question 3: What is the next number in the sequence: 3, 6, 12, 24, ___?
- 48 (Correct answer)
- 36
- 42
- 30
Correct answer: 48
Each number doubles: 3 × 2 = 6, 6 × 2 = 12, 12 × 2 = 24, 24 × 2 = 48.
Question 4: Solve: 7 × (4 + 3) − 5 = ?
- 44 (Correct answer)
- 29
- 40
- 24
Correct answer: 44
Following BEDMAS: 4 + 3 = 7; then 7 × 7 = 49; then 49 − 5 = 44.
Question 5: A soldier runs 400 m in 80 seconds. At the same speed, how long will it take to run 1 km?
- 200 seconds (Correct answer)
- 160 seconds
- 250 seconds
- 320 seconds
Correct answer: 200 seconds
Speed = 400 m / 80 s = 5 m/s; time for 1000 m = 1000 ÷ 5 = 200 seconds.
Question 6: What is the ratio of 35 to 105 in its simplest form?
- 1:3 (Correct answer)
- 7:21
- 1:5
- 5:15
Correct answer: 1:3
35:105 simplifies by dividing both by 35, giving 1:3.
CADET Mathematics and Problem Solving 2
A military unit has 120 personnel.
If 25% are on leave, how many are present for duty?