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GMAT Exam  >  GMAT Tests  >  Test: Positive Negative - GMAT MCQ

Test: Positive Negative - GMAT MCQ


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15 Questions MCQ Test - Test: Positive Negative

Test: Positive Negative for GMAT 2024 is part of GMAT preparation. The Test: Positive Negative questions and answers have been prepared according to the GMAT exam syllabus.The Test: Positive Negative MCQs are made for GMAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Positive Negative below.
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Test: Positive Negative - Question 1
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If xyz ≠ 0, is x > 0?

1) xy > 0
2) xz > 0

Detailed Solution for Test: Positive Negative - Question 1

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

Test: Positive Negative - Question 2
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If xyz > 0, is x > 0?

1) xy > 0
2) xz < 0

Detailed Solution for Test: Positive Negative - Question 2

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

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Test: Positive Negative - Question 3
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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.

Test: Positive Negative - Question 4
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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
Test: Positive Negative - Question 5
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Is x a negative number?
1) x2 is a positive number
2) x*|y| is not positive
Test: Positive Negative - Question 6
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If xy > 0, is x > 0?

1) x - y = 3

2) x2 = 9
Detailed Solution for Test: Positive Negative - Question 6

Correct Answer :- D

Explanation : a) if x-y= 3, it means x& y are positive then x should be greater than y.

Hence Sufficient.

b) As it is given x>0, whether the x is positive and negative, its value will always be positive (Sufficient)

Test: Positive Negative - Question 7
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If xy < 0, is x > 0?

1) x - y = 3

2) x2 = 9
Detailed Solution for Test: Positive Negative - Question 7

Correct Answer :- b

Explanation : If x > 0 and xy < 0

that means x will be positive and y will be the negative.

x > 0 {the value of x will be 1,2,3,4......}

a) x - y = 3

This means the value of x is positive and y is negative.

Say x is positive then |x|>|y|and y is negative.

(Sufficient)

b) x2 = 9

As it is given value of x is positive,it also satisfies the equation 

(Sufficient)

Test: Positive Negative - Question 8
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If x  y > 0, is x > 0?

1) xy < 0

2) x > y
Detailed Solution for Test: Positive Negative - Question 8

(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

Test: Positive Negative - Question 9
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If x - y > 0, is x > 0?

1) x > y

2) y > 0
Detailed Solution for Test: Positive Negative - Question 9

Correct Answer :- b

Explanation : x-y>0 x>0

1) x>y i.e x is greater than y As it is given x>0 that means x will be positive only.

2) y is greater than zero it will also be positive 

For eg : x = 2, y = 1

x - y > 0

2 - 1> 0

1>0 (boh statements are required to answer the question)

Test: Positive Negative - Question 10
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If xyz > 0, is x > 0?

1) xy > xz

2) y < 0
Detailed Solution for Test: Positive Negative - Question 10

Correct Answer :- B

Explanation : (1) XY > 0 means x > 0 and Y > 0 OR X < 0 and Y < 0

So (1) is not sufficient

(2) XZ > 0 means X > 0 and Z > 0 OR X < 0 and Z < 0

So (2) is not sufficient

So if x < 0 then y < 0 and z < 0

=> xyz < 0 which is contrary to what is given in question

=> x > 0

Test: Positive Negative - Question 11
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If xyz > 0, is x > 0?

1) xy > xz

2) x > y
Test: Positive Negative - Question 12
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If xy > xz, is x > 0?

1) x > y

2) x > z
Test: Positive Negative - Question 13
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If xyz < 0, is x < 0?

1) yz < 0

2) xy < 0
Test: Positive Negative - Question 14
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If xyz < 0, is x < 0?

1) xy > xz

2) y > 0
Test: Positive Negative - Question 15
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If xyz > 0, is x < 0?

1) x > yz

2) -xz < 0
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Positive Negative MCQs with Answers

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