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This mock test of Test: Positive Negative for GMAT helps you for every GMAT entrance exam.
This contains 15 Multiple Choice Questions for GMAT Test: Positive Negative (mcq) to study with solutions a complete question bank.
The solved questions answers in this Test: Positive Negative quiz give you a good mix of easy questions and tough questions. GMAT
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QUESTION: 1

If xyz ≠ 0, is x > 0?

1) xy > 0

2) xz > 0

Solution:

Considering Statement (1) alone:

xy > 0.

It means that *x* and *y* can be positive or *x* and *y* can be negative. Insufficient

Considering statement (2) alone:

xz > 0

It means that *x* and *z* can be positive or *x* and *z* can be negative. Insufficient

Considering both statements:

All three numbers can be positive or all three numbers can negative. Insufficient

QUESTION: 2

If xyz > 0, is x > 0?

1) xy > 0

2) xz < 0

Solution:

If xyz > 0 => Either exactly 2 of the valriables are negative or all the variables are positive.

Considering statement (1) alone:

xy > 0 => Both x and y can be positive or neagtive. Insufficient

Considering statement (2) alone:

xz < 0 => One of the x or z is negative. So, x can be positive or negative. Insufficient.

Considering both the statments together:

If xy > 0 and xz < 0

There are two possibilities now.

Case 1: When x and y are positive

If x and y are positive and xz < 0 => z is negative.

This is not possible as the question suggests that xyz > 0

Case 2: When x and y are negative

If x and y are negative and xz < 0 => z is positive.

This works for the question also as xyz > 0. And, it provides a definite information that x is negative. Sufficient

QUESTION: 3

A certain list consists of several different integers. Is the product of all the integers in the list positive?

1) The product of the greatest and the smallest of the integers is positive

2) There is an even number of integers in the list.

Solution:

QUESTION: 4

If there are more than two numbers in the list, is each of the numbers in the list equal to 0?

1) The product of any two numbers in the list is equal to 0

2) The sum of any two numbers in the list is equal to 0

Solution:

QUESTION: 5

Is *x* a negative number?

1) x^{2} is a positive number

2) x*|y| is not positive

Solution:

QUESTION: 6

If xy > 0, is x > 0?

1) x - y = 3

2) x^{2} = 9

Solution:

QUESTION: 7

If xy < 0, is x > 0?

1) x - y = 3

2) x^{2} = 9

Solution:

QUESTION: 8

If x y > 0, is x > 0?

1) xy < 0

2) x > y

Solution:

**Explanation:- Statement 2 is sufficient to answer the question.**

**(a)In the question, it is given xy>0, then xy<0 cannot be correct.**

**(b) As x > y, then xy will be truely greater than zero.**

**eg : x =2, y = 1**

**xy > 0**

**(2)(1) > 0**

**2 > 0**

QUESTION: 9

If x - y > 0, is x > 0?

1) x > y

2) y > 0

Solution:

QUESTION: 10

If xyz > 0, is x > 0?

1) xy > xz

2) y < 0

Solution:

QUESTION: 11

If xyz > 0, is x > 0?

1) xy > xz

2) x > y

Solution:

QUESTION: 12

If xy > xz, is x > 0?

1) x > y

2) x > z

Solution:

QUESTION: 13

If xyz < 0, is x < 0?

1) yz < 0

2) xy < 0

Solution:

QUESTION: 14

If xyz < 0, is x < 0?

1) xy > xz

2) y > 0

Solution:

QUESTION: 15

If xyz > 0, is x < 0?

1) x > yz

2) -xz < 0

Solution:

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