Selective Test Mathematical Reasoning 2 — Questions and Answers
Question 1: Solve for x: 2x + 7 = 19
- 5
- 6 (Correct answer)
- 7
- 13
Correct answer: 6
Subtracting 7 from both sides gives 2x = 12, so x = 6.
Question 2: Which expression is equivalent to 3(x + 4) − 2(x − 1)?
- x + 14 (Correct answer)
- x + 10
- 5x + 14
- x − 10
Correct answer: x + 14
Expanding: 3x + 12 − 2x + 2 = x + 14.
Question 3: The ratio of boys to girls in a class is 3:5 and there are 40 students total. How many boys are there?
- 12
- 15 (Correct answer)
- 16
- 24
Correct answer: 15
Boys = 3/(3+5) × 40 = 3/8 × 40 = 15.
Question 4: What is the next term in the sequence: 2, 6, 18, 54, ___?
- 108
- 162 (Correct answer)
- 216
- 270
Correct answer: 162
Each term is multiplied by 3; 54 × 3 = 162.
Question 5: A shirt originally costs $45 and is discounted by 20%. What is the sale price?
- $34
- $36 (Correct answer)
- $38
- $40
Correct answer: $36
Discount = 20% × $45 = $9; sale price = $45 − $9 = $36.
Question 6: Solve the inequality: 3x − 6 > 9
- x > 1
- x > 3
- x > 5 (Correct answer)
- x > 15
Correct answer: x > 5
Adding 6: 3x > 15; dividing by 3: x > 5.
Question 7: A rectangle has a perimeter of 36 cm and its length is twice its width. What is the area of the rectangle?
- 48 cm²
- 54 cm²
- 64 cm²
- 72 cm² (Correct answer)
Correct answer: 72 cm²
With 2(w + 2w) = 36, w = 6 and l = 12, so area = 6 × 12 = 72 cm².
Selective Test Mathematical Reasoning 2
Solve for x: 2x + 7 = 19