OTEE Mathematical Aptitude 3 — Questions and Answers
Question 1: If 3x + 7 = 25, what is the value of x?
- 4
- 6 (Correct answer)
- 5
- 7
Correct answer: 6
Subtract 7 from both sides to get 3x = 18, then x = 6.
Question 2: One number is 4 more than twice another number, and their sum is 22. What is the smaller number?
- 4
- 5
- 6 (Correct answer)
- 8
Correct answer: 6
Let n = smaller; 2n + 4 + n = 22 → 3n = 18 → n = 6.
Question 3: Which values of x satisfy the equation x² − 5x + 6 = 0?
- x = 2 and x = 3 (Correct answer)
- x = 1 and x = 6
- x = −2 and x = −3
- x = 3 and x = 5
Correct answer: x = 2 and x = 3
Factor as (x − 2)(x − 3) = 0, giving x = 2 or x = 3.
Question 4: A cadet receives a 15% pay raise and now earns $23 per hour. What was the original hourly rate?
- $18.00
- $20.00 (Correct answer)
- $19.00
- $21.00
Correct answer: $20.00
1.15x = 23, so x = 23 ÷ 1.15 = $20.00.
Question 5: Solve for y: 2(y − 3) = 4y − 10
- y = 0
- y = 4
- y = 1
- y = 2 (Correct answer)
Correct answer: y = 2
2y − 6 = 4y − 10 → −2y = −4 → y = 2.
Question 6: If f(x) = 2x² − 3x + 1, what is f(3)?
- 7
- 14
- 8
- 10 (Correct answer)
Correct answer: 10
f(3) = 2(9) − 3(3) + 1 = 18 − 9 + 1 = 10.
Question 7: A training camp has twice as many enlisted soldiers as officers. If there are 15 officers, what is the total number of people in the camp?
- 30
- 45 (Correct answer)
- 40
- 50
Correct answer: 45
15 officers + 2 × 15 enlisted = 15 + 30 = 45 total.
OTEE Mathematical Aptitude 3
If 3x + 7 = 25, what is the value of x?