GRE Quantitative Reasoning 3 — Questions and Answers
Question 1: If a number is increased by 25% and then decreased by 20%, the net result is the original number multiplied by what factor?
- 0.95
- 1.00 (Correct answer)
- 1.05
- 1.10
Correct answer: 1.00
1.25 × 0.80 = 1.00, so the number returns to its original value.
Question 2: The sum of three consecutive integers is 45. What is the largest of the three?
- 14
- 15
- 16 (Correct answer)
- 17
Correct answer: 16
The integers are 14, 15, 16, and the largest is 16.
Question 3: A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
- 10 (Correct answer)
- 12
- 14
- 16
Correct answer: 10
By the Pythagorean theorem, √(6² + 8²) = √100 = 10.
Question 4: If 2^x = 32, what is x?
- 3
- 4
- 5 (Correct answer)
- 6
Correct answer: 5
2^5 = 32, so x = 5.
Question 5: A car travels 180 miles in 3 hours. At this rate, how far will it travel in 5 hours?
- 240 miles
- 270 miles
- 300 miles (Correct answer)
- 360 miles
Correct answer: 300 miles
The rate is 60 mph, so in 5 hours it travels 60 × 5 = 300 miles.
Question 6: What is the value of |−12| + |7|?
- 5
- −5
- 19 (Correct answer)
- −19
Correct answer: 19
The absolute values are 12 and 7, which sum to 19.
Question 7: If the probability of an event occurring is 0.3, what is the probability it does NOT occur?
- 0.3
- 0.5
- 0.7 (Correct answer)
- 1.3
Correct answer: 0.7
Complementary probability is 1 - 0.3 = 0.7.
GRE Quantitative Reasoning 3
If a number is increased by 25% and then decreased by 20%, the net result is the original number multiplied by what factor?