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Is x a negative number? (1) x^2 is a positive number.
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16 Jul 2019, 08:47
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37% (00:59) correct 63% (00:39) wrong based on 117 sessions
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Is x a negative number? (1) \(x^2\) is a positive number. (2) \(x · y\) is not a positive number.
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Re: Is x a negative number? (1) x^2 is a positive number.
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16 Jul 2019, 08:54
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.



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Re: Is x a negative number? (1) x^2 is a positive number.
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16 Jul 2019, 11:14
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



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Is x a negative number? (1) x^2 is a positive number.
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16 Jul 2019, 13:48
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.
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Is x a negative number? (1) x^2 is a positive number.
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21 Jul 2019, 05:50
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.



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Re: Is x a negative number? (1) x^2 is a positive number.
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22 Jul 2019, 10:28
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.
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Re: Is x a negative number? (1) x^2 is a positive number.
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23 Jul 2019, 05:55
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.



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Re: Is x a negative number? (1) x^2 is a positive number.
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29 Jul 2019, 11:56
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.
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29 Jul 2019, 11:56






