GMAT Quantitative (Problem Solving) 2 — Questions and Answers
Question 1: If a shirt is marked up 25% then discounted 20%, what is the net percent change from the original price?
- No change (Correct answer)
- 5% increase
- 5% decrease
- 45% increase
Correct answer: No change
1.25 × 0.80 = 1.00, so the final price equals the original.
Question 2: A train travels 240 miles in 4 hours. At the same rate, how long to travel 420 miles?
- 6 hours
- 7 hours (Correct answer)
- 8 hours
- 5.5 hours
Correct answer: 7 hours
Rate is 60 mph, so 420 ÷ 60 = 7 hours.
Question 3: What is the value of 3! + 4!?
- 24
- 30 (Correct answer)
- 150
- 5040
Correct answer: 30
3! = 6 and 4! = 24, summing to 30.
Question 4: If x² = 49 and x < 0, what is x?
- 7
- -7 (Correct answer)
- ±7
- 49
Correct answer: -7
The square roots of 49 are ±7, and only -7 is negative.
Question 5: A jar has 5 red and 3 blue marbles. What is the probability of drawing a red marble?
- 3/8
- 5/8 (Correct answer)
- 1/2
- 5/3
Correct answer: 5/8
5 red out of 8 total gives 5/8.
Question 6: If 2^x = 32, what is x?
- 4
- 5 (Correct answer)
- 6
- 16
Correct answer: 5
2^5 = 32, so x = 5.
Question 7: The average of 5 numbers is 12. If one number is removed and the average becomes 13, what was the removed number?
- 8 (Correct answer)
- 12
- 16
- 60
Correct answer: 8
Original sum is 60, new sum is 52, so the removed number is 8.
If a shirt is marked up 25% then discounted 20%, what is the net percent change from the original price?