GRE Quantitative Reasoning 2 — Questions and Answers
Question 1: If 3x - 7 = 11, what is the value of x?
- 4
- 6 (Correct answer)
- 9
- 18
Correct answer: 6
Add 7 to both sides to get 3x = 18, then divide by 3 to get x = 6.
Question 2: Quantity A: the average of 10, 20, 30. Quantity B: the median of 5, 15, 25, 35. Which is greater?
- Quantity A is greater
- Quantity B is greater
- The two are equal (Correct answer)
- Cannot be determined
Correct answer: The two are equal
Quantity A averages to 20 and Quantity B's median is (15+25)/2 = 20, so they are equal.
Question 3: A circle has a radius of 5. What is its area?
- 10π
- 25π (Correct answer)
- 50π
- 100π
Correct answer: 25π
Area = πr² = π(5²) = 25π.
Question 4: If the ratio of boys to girls in a class is 3:5 and there are 24 boys, how many girls are there?
- 15
- 30
- 40 (Correct answer)
- 45
Correct answer: 40
Each ratio unit equals 24/3 = 8, so girls = 5 × 8 = 40.
Question 5: What is 15% of 240?
- 24
- 36 (Correct answer)
- 48
- 60
Correct answer: 36
0.15 × 240 = 36.
Question 6: If x² = 49, which of the following could be the value of x?
- Only 7
- Only -7
- 7 or -7 (Correct answer)
- Neither 7 nor -7
Correct answer: 7 or -7
Both 7 and -7 squared equal 49, so x can be either value.
Question 7: A shirt originally priced at $50 is discounted by 20%. What is the sale price?
- $30
- $40 (Correct answer)
- $42
- $45
Correct answer: $40
20% of 50 is 10, so the sale price is 50 - 10 = $40.
GRE Quantitative Reasoning 2
If 3x - 7 = 11, what is the value of x?