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Is x^(–y) positive? (1) x is positive. (2) y is negative.

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Bunuel
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Is x^(–y) positive? (1) x is positive. (2) y is negative. [#permalink] Is x^(–y) positive? (1) x is positive. (2) y is negative.   01 May 2019, 04:26
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Is \(x^{–y}\) positive?

(1) x is positive.
(2) y is negative.
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A
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LevanKhukhunashvili
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Re: Is x^(–y) positive? (1) x is positive. (2) y is negative. [#permalink] Is x^(–y) positive? (1) x is positive. (2) y is negative.   01 May 2019, 04:45
We have to consider two cases
1) if x is positive no matter what is the value of y, the result will be positive
2) if y is even no matter what is the value of x, the result will be positive

1 stm --> x is positive. Suff
2 stm --> y is negative. insuff

IMO
Ans: A
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Re: Is x^(–y) positive? (1) x is positive. (2) y is negative. [#permalink] Is x^(–y) positive? (1) x is positive. (2) y is negative.   01 May 2019, 05:31
Bunuel wrote:
Is \(x^{–y}\) positive?

(1) x is positive.
(2) y is negative.



\(x^{–y}\) positive

#1
x +ve ; then y whether + or -ve will not make difference
sufficient as value will be +ve only
#2
y is -ve ; then value of x should be +ve as well , else its insufficient when x=-ve ;
x is not know in this cases
IMO A
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Re: Is x^(–y) positive? (1) x is positive. (2) y is negative. [#permalink] Is x^(–y) positive? (1) x is positive. (2) y is negative.   01 May 2019, 06:42
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Bunuel wrote:
Is \(x^{–y}\) positive?

(1) x is positive.
(2) y is negative.



Statement 1: x = positive
y could be +/- ; either way, it will determine whether the result is x or (1/x) raise to power y and the result will be positive always.

Sufficient.

Statement 2: y= negative
x could be +/- ; similar to statement 1's explanation, sign of x will not depend on y but on x alone.

Not sufficient.



Answer: A.
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Re: Is x^(–y) positive? (1) x is positive. (2) y is negative. [#permalink]
01 May 2019, 06:42
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Bunuel
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