### All GRE Math Resources

## Example Questions

### Example Question #23 : Percentage

36 is what percent of 145

**Possible Answers:**

36%

24.8%

40.3%

403%

2.48%

**Correct answer:**

24.8%

divide: 36/145 = 0.248; multiply by 100 to get percent

24.8%

### Example Question #24 : Percentage

36 is x% of 133. What is x

**Possible Answers:**

42

22.4

27

19

10

**Correct answer:**

27

36 is x% of 133

that means that 36 = (x%)(133)

x% = 36/133 X 100 = 27%

### Example Question #21 : Percentage

Max walks 1 mile in 15 minutes. Belinda takes only 12 minutes to walk 1 mile. If Max and Belinda leave their homes at the same time, how far has Belinda walked when Max has walked 1 mile?

**Possible Answers:**

4/3 mile

5/4 mile

3/2 mile

1 mile

3/4 mile

**Correct answer:**

5/4 mile

Belinda walks faster than Max, so she should walk over a mile in the same time that Max walks 1 mile. We can eliminate the answer choices that aren't over a mile. It takes Max 3 minutes longer to walk a mile, so Belinda will walk for 3 more minutes after she finishes her first mile. If she walks 1 mile in 12 minutes, she walks 1/12 miles in 1 minute, or 3/12 = 1/4 mile in 3 minutes. So she walks 1 1/4 miles, or 5/4 miles.

### Example Question #23 : Percentage

If , is what percent of ?

**Possible Answers:**

**Correct answer:**

Let's first pick numbers. If *y* = 25, *x* = 100. It's tempting to pick 25% as the answer, but *x* is *greater* than *y*, so the percentage must be *greater *than 100%. *x* is four times *y*, or 400% of *y*.