GMAT SECTION 2: QUANTITATIVE Exam Questions and Answers

QUESTION: 71

Which of the following values of x would satisfy the inequality x > 1?

I) x = 1 ½ 23
II) x = 1 -4/3 22
III) x = 1 -1/3 2-2

I only
II only
II and III only
I and III only
I, II, and III

Answer(s): C

Explanation:

Statement I simplifies to 1/8, which is less than 1. Statement II simplifies to 16/9, which is greater than 1. In statement III, you need to take the reciprocal of the fraction inside the parentheses (because the exponent is negative) and then evaluate using an exponent of 2. This results in (–3)2 = 9, which is also greater than 1. Both statements II and III would satisfy the inequality x > 1.

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QUESTION: 72

John is three times as old as Sam. If John will be twice as old as Sam in six years, how old was Sam two years ago?

2
4
6
8
16

Answer(s): B

Explanation:

Let x = Sam’s current age and 3x = John’s current age. If John will be twice as old as Sam in six years, this sets up the equation 3x + 6 = 2 (x + 6). Solve this equation for x by using the distributive property on the right side of the equation and then subtracting 2x from both sides. 3x + 6 = 2x + 12. 3x – 2x + 6 = 2x – 2x + 12.
Subtract 6 from both sides. x + 6 – 6 = 12 – 6. x = 6. Since x is Sam’s current age, Sam was four years old two years ago.

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QUESTION: 73

Given a spinner with four sections of equal size labeled A, B, C, and D, what is the probability of NOT getting an A after spinning the spinner two times?

9/16
1/8
1/4
1/2
15/16

Answer(s): A

Explanation:

By spinning the spinner two times, the probability of not getting an A is .

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QUESTION: 74

A case of 12 rolls of paper towels sells for $9. The cost of one roll sold individually is $1. What is the percent of savings per roll for the 12-roll package over the cost of 12 rolls purchased individually?

9%
11%
15%
25%
90%

Answer(s): D

Explanation:

If sold by the case, each individual roll cost $.75 (.75). To find the percent of savings, compare the savings to the cost of a roll sold individually. = 0.25 = 25%.

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QUESTION: 75

How many different committees can be formed from a group of two women and four men if three people are on the committee and at least one member must be a woman?

6
8
10
12
16

Answer(s): E

Explanation:

If at least one member must be a woman, the committee will have either one woman and two men or two women and one man. Use combinations because the order does not matter.
Choosing one woman and two men: 2C1 × 4C2 = .
Choosing two women and one man: 2C2 × 4C1 = .
Since both situations would satisfy the requirement that at least one member is a woman, add the combinations. 12 + 4 = 16 total committees

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GMAT GMAT SECTION 2: QUANTITATIVE Exam (page: 15) GMAT Section 2: Quantitative Updated on: 25-Dec-2025

QUESTION: 71

Explanation:

QUESTION: 72

Explanation:

QUESTION: 73

Explanation:

QUESTION: 74

Explanation:

QUESTION: 75

Explanation:

GMAT GMAT SECTION 2: QUANTITATIVE Exam (page: 15)
GMAT Section 2: Quantitative
Updated on: 25-Dec-2025