GMAT Quantitative (Problem Solving) 3 — Questions and Answers
Question 1: If 3x - 7 = 2x + 5, what is x?
- 2
- 12 (Correct answer)
- -12
- 6
Correct answer: 12
Subtracting 2x and adding 7 gives x = 12.
Question 2: A rectangle has length 8 and width 6. What is the length of its diagonal?
- 10 (Correct answer)
- 14
- 12
- 48
Correct answer: 10
√(8² + 6²) = √100 = 10.
Question 3: What is 15% of 80?
- 8
- 12 (Correct answer)
- 15
- 20
Correct answer: 12
0.15 × 80 = 12.
Question 4: If the ratio of boys to girls is 3:5 and there are 24 boys, how many girls are there?
- 40 (Correct answer)
- 32
- 15
- 45
Correct answer: 40
Each part is 24 ÷ 3 = 8, so girls = 5 × 8 = 40.
Question 5: A number increased by 30% equals 65. What is the number?
- 45.5
- 50 (Correct answer)
- 55
- 85
Correct answer: 50
65 ÷ 1.30 = 50.
Question 6: What is the sum of the first 10 positive integers?
- 45
- 50
- 55 (Correct answer)
- 100
Correct answer: 55
Using n(n+1)/2 = 10×11/2 = 55.
Question 7: If a car uses 8 gallons to travel 200 miles, how many gallons for 350 miles?
- 12
- 14 (Correct answer)
- 16
- 10
Correct answer: 14
200/8 = 25 mpg, so 350 ÷ 25 = 14 gallons.
GMAT Quantitative (Problem Solving) 3
If 3x - 7 = 2x + 5, what is x?