TSI Quantitative Reasoning 1 — Questions and Answers
Question 1: What is 3/4 + 1/6?
- 4/10
- 11/12 (Correct answer)
- 5/12
- 7/10
Correct answer: 11/12
The LCD of 4 and 6 is 12, so 3/4 = 9/12 and 1/6 = 2/12; 9/12 + 2/12 = 11/12.
Question 2: Which of the following is equivalent to 0.375?
- 1/4
- 3/8 (Correct answer)
- 3/5
- 2/5
Correct answer: 3/8
0.375 = 375/1000, which simplifies to 3/8 by dividing numerator and denominator by 125.
Question 3: What is 15% of 240?
- 24
- 36 (Correct answer)
- 48
- 30
Correct answer: 36
15% of 240 = 0.15 × 240 = 36.
Question 4: Simplify: 2³ × 2²
- 2⁶
- 4⁵
- 2⁵ (Correct answer)
- 4⁶
Correct answer: 2⁵
When multiplying powers with the same base, add the exponents: 2³ × 2² = 2^(3+2) = 2⁵.
Question 5: What is the greatest common factor (GCF) of 36 and 48?
- 6
- 9
- 12 (Correct answer)
- 18
Correct answer: 12
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36 and factors of 48 include 1, 2, 3, 4, 6, 8, 12, 16, 24, 48; the greatest common factor is 12.
Question 6: A shirt costs $45 and is on sale for 20% off. What is the sale price?
- $25.00
- $36.00 (Correct answer)
- $38.00
- $40.00
Correct answer: $36.00
20% of $45 = $9; subtract the discount: $45 − $9 = $36.
Question 7: What is the least common multiple (LCM) of 4 and 6?
- 12 (Correct answer)
- 18
- 24
- 8
Correct answer: 12
Multiples of 4: 4, 8, 12 … and multiples of 6: 6, 12 … the first common multiple is 12.