### All GMAT Math Resources

## Example Questions

### Example Question #21 : Fractions

Evaluate:

**Possible Answers:**

**Correct answer:**

This can actually be solved without any calculation.

A negative number raised to an even power is equal to its absolute value raised to that power, so

Therefore, we can replace:

### Example Question #22 : Fractions

Simplify the following into a single fraction:

**Possible Answers:**

Not enough information provided.

**Correct answer:**

In order to simplify , combine the terms by finding the common denominator:

### Example Question #23 : Fractions

Simplify the following expression:

**Possible Answers:**

**Correct answer:**

In order to simplify the expression, we start by finding the common denominator of each term in :

In this case the common denominator is 66.

### Example Question #24 : Fractions

Clara wants to make sixteen batches of her world famous Icky Sticky Ooey Gooey Chocolate Bomb Brownies. Each batch of brownies requires cups of flour, cups of sugar, and cups of bittersweet chocolate.

She has 14 cups of flour, 22 cups of sugar, and 25 cups of bittersweet chocolate on hand; assuming other ingredients are not an issue, can Clara make sixteen batches of brownies?

**Possible Answers:**

Yes

No, because she does not have enough flour or chocolate

No, because she does not have enough sugar or chocolate

No, because she does not have enough flour, sugar, or chocolate

No, because she does not have enough sugar or flour

**Correct answer:**

No, because she does not have enough sugar or chocolate

To make sixteen batches of brownies, Clara will require:

cups of flour; since Clara has 14 cups on hand, she has sufficient flour.

cups of sugar; since Clara has 22 cups on hand, she needs more sugar.

cups of bittersweet chocolate; since Clara has 25 cups on hand, she needs more bittersweet chocolate.

The correct choice is that she cannot make them, since she does not have enough sugar or chocolate.

### Example Question #21 : Fractions

Suzanne wants to make fifteen batches of her world famous Icky Sticky Ooey Gooey Oatmeal Peanut Butter Cookies. Each batch of cookies requires cups of flour, cups of sugar, and cups of oatmeal, among other ingredients.

She has 20 cups of flour, 24 cups of sugar, and 30 cups of oatmeal on hand; assuming other ingredients are not an issue, can Suzanne make fifteen batches of brownies?

**Possible Answers:**

No, because she does not have enough oatmeal

Yes

No, because she does not have enough flour

No, because she does not have enough sugar

No, because she does not have enough flour, sugar, or oatmeal

**Correct answer:**

No, because she does not have enough flour

To make fifteen batches of cookies, Suzanne will require:

cups of flour; since Suzanne has 20 cups on hand, she needs more flour.

cups of sugar; since Suzanne has 24 cups on hand, she has sufficient sugar.

cups of oatmeal; since Suzanne has 30 cups on hand, she has sufficient oatmeal.

The correct choice is that she cannot make them, since she does not have enough flour.

### Example Question #25 : Fractions

Three fifths of a number is twenty greater than one tenth of the same number. What is that number?

**Possible Answers:**

The correct answer is not among the other responses.

**Correct answer:**

If the number is , then the relation can be written as

### Example Question #26 : Fractions

Add three fourths of a number to one eighth of a number to get 56. What is the number?

**Possible Answers:**

The correct answer is not given among the other responses.

**Correct answer:**

If the number is , then the relation can be written as

### Example Question #27 : Fractions

Divide two sevenths of a number by one half to get 40. What is the number?

**Possible Answers:**

**Correct answer:**

If the number is , then the relation can be written as

### Example Question #28 : Fractions

Compute the following:

**Possible Answers:**

**Correct answer:**

Consider that dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. So, you can rewrite the presented expression:

like this:

Now you can multiply across the numerators and denominators of the two fractions to find their product:

Each of these fractions can be reduced. Let's reduce the first fraction:

Now we can multiply the first fraction by to create a common denominator:

At this point, we can add the fractions together. Since the result cannot be simplified, it is the correct answer.

### Example Question #30 : Fractions

Which of the following is equal to ?

**Possible Answers:**

**Correct answer:**

Testing out all of the answer choices, the only solution that is equal to is