GRE Quantitative Reasoning 3

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?

Accepted Answer

1.00

Answer

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?

Accepted Answer

16

Answer

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?

Accepted Answer

10

Answer

By the Pythagorean theorem, √(6² + 8²) = √100 = 10.

Question 4

If 2^x = 32, what is x?

Accepted Answer

5

Answer

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?

Accepted Answer

300 miles

Answer

The rate is 60 mph, so in 5 hours it travels 60 × 5 = 300 miles.

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