GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Aug 2019, 05:41 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. ### Request Expert Reply # Is x a negative number? (1) x^2 is a positive number.

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

CR Forum Moderator V
Joined: 25 Apr 2018
Posts: 625
GMAT 1: 680 Q49 V34 Is x a negative number? (1) x^2 is a positive number.  [#permalink]

### Show Tags

2
2 00:00

Difficulty:   65% (hard)

Question Stats: 37% (00:59) correct 63% (00:39) wrong based on 117 sessions

### HideShow timer Statistics

Is x a negative number?

(1) $$x^2$$ is a positive number.

(2) $$x · |y|$$ is not a positive number.

_________________
Please give kudos if you found my posts helpful!

Project CR Butler - 2 CR's everyday
Manager  G
Joined: 23 Jan 2018
Posts: 204
Location: India
WE: Information Technology (Computer Software)
Re: Is x a negative number? (1) x^2 is a positive number.  [#permalink]

### Show Tags

From A, we cannot derive anything. SO insufficient.
From B, we can say x is always negative, as |y| is always positive. Sufficient Hence, B is the correct answer.
Intern  B
Joined: 18 Nov 2018
Posts: 24
Re: Is x a negative number? (1) x^2 is a positive number.  [#permalink]

### Show Tags

Is x a negative number?

(1) x^2 is a positive number.

x can be both positive or negative but square of either is still a positive, not sufficient enough.

(2) x·|y| is not a positive number.

mod y is always positive and total sum is negative implies no other option than x to be negative. Sufficient enough.

Hence B is correct
Intern  B
Joined: 19 Jan 2017
Posts: 15
Is x a negative number? (1) x^2 is a positive number.  [#permalink]

### Show Tags

3
1
The correct answer should be E. Note that we must not forget the case that x can equal 0 for statement 2, which means that x can be either 0 or negative.

Combining both statements, we know that x^2 is positive, but if y is 0, then x can be either positive or negative.

Posted from my mobile device
Intern  B
Joined: 28 Mar 2019
Posts: 6
Location: Netherlands
GMAT 1: 750 Q49 V44 GPA: 4
Is x a negative number? (1) x^2 is a positive number.  [#permalink]

### Show Tags

1
1) x can be either positive or negative --> insufficient

2) if y = 0 --> then for any x, the product of x*|y| will not be positive. --> insufficient

Combined) no new information --> insufficient.

Hence, the answer is E.
Intern  B
Joined: 20 Nov 2018
Posts: 18
Re: Is x a negative number? (1) x^2 is a positive number.  [#permalink]

### Show Tags

2
Is x a negative number?

(1) x^2 is a positive number.

(2) x⋅|y| is not a positive number.

Solution:-

There is no information in the question stem to process so we move to the statements directly.

(1) x^2 is a positive number.

Square of any number is positive, be it a negative or a positive number.
So, X can be a negative number or a positive number as well. Hence, INSUFFICIENT

(2) x⋅|y| is not a positive number.

Now, We need to read this statement very carefully. It says x⋅|y| is NOT A POSITIVE number. It does not say that x⋅|y| is A NEGATIVE number. So, There are 2 possibilities now, x⋅|y| can either be a Negative number or it can be ZERO. (Because Zero is neither positive nor negative)
Lets say x⋅|y|=0
So, if |y|=0, X can either be positive or negative.
Lets say x⋅|y|= Negative
So, here X can only be negative.

Since, This statement is also not providing us a clear answer, Its INSUFFICIENT

Taking both statements together will do us no good because both statements suggest the same thing that X can either be positive or negative.

So the answer is E.

Please give kudos if you found my posts helpful!
Intern  B
Joined: 04 Nov 2015
Posts: 42
Re: Is x a negative number? (1) x^2 is a positive number.  [#permalink]

### Show Tags

nlx23 wrote:
Is x a negative number?

(1) x^2 is a positive number.

x can be both positive or negative but square of either is still a positive, not sufficient enough.

(2) x·|y| is not a positive number.

mod y is always positive and total sum is negative implies no other option than x to be negative. Sufficient enough.

Hence B is correct

I do agree X has to be negative on combining both options A and B and hence ans has to be C and not E.
Intern  B
Joined: 01 Jul 2019
Posts: 4
Re: Is x a negative number? (1) x^2 is a positive number.  [#permalink]

### Show Tags

Question: Is X a negative # -> is X<0?

1. x^2 is +
x=/=0 NS
2. x⋅|y| is not +
X<=0 or Y is 0
NS

By combing both we see that if Y is not 0 then X must be negative, but there is nothing in the question saying that Y=/=0.
.: E Re: Is x a negative number? (1) x^2 is a positive number.   [#permalink] 29 Jul 2019, 11:56
Display posts from previous: Sort by

# Is x a negative number? (1) x^2 is a positive number.

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

#### MBA Resources  