Selective Test Mathematical Reasoning 1 — Questions and Answers
Question 1: What is 3/4 + 2/3?
- 5/7
- 17/12 (Correct answer)
- 5/12
- 6/7
Correct answer: 17/12
Finding a common denominator of 12: 9/12 + 8/12 = 17/12.
Question 2: If 40% of a number is 60, what is the number?
- 24
- 100
- 150 (Correct answer)
- 120
Correct answer: 150
If 40% = 60, then 1% = 1.5, so 100% = 150.
Question 3: What is the value of 2³ × 5²?
- 100
- 200 (Correct answer)
- 250
- 400
Correct answer: 200
2³ = 8 and 5² = 25; multiplying gives 8 × 25 = 200.
Question 4: Simplify the fraction 36/48 to its lowest terms.
- 3/4 (Correct answer)
- 2/3
- 4/5
- 3/5
Correct answer: 3/4
The GCF of 36 and 48 is 12; dividing both by 12 gives 3/4.
Question 5: A train travels 180 miles in 3 hours. What is its average speed?
- 45 mph
- 60 mph (Correct answer)
- 75 mph
- 90 mph
Correct answer: 60 mph
Speed = Distance ÷ Time = 180 ÷ 3 = 60 mph.
Question 6: What is 15% of 240?
- 32
- 36 (Correct answer)
- 40
- 48
Correct answer: 36
15% of 240 = 0.15 × 240 = 36.
Question 7: If x = 5, what is the value of 3x² − 2x + 1?
- 66 (Correct answer)
- 68
- 72
- 76
Correct answer: 66
3(25) − 2(5) + 1 = 75 − 10 + 1 = 66.
