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Is x^y = 1? (1) x = 1 (2) y = 1

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Math Revolution GMAT Instructor
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Is x^y = 1? (1) x = 1 (2) y = 1  [#permalink]

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New post 21 Jul 2017, 01:04
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

89% (00:24) correct 11% (00:27) wrong based on 63 sessions

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Is \(x^y=1\)?

(1) x = 1
(2) y = 1

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Re: Is x^y = 1? (1) x = 1 (2) y = 1  [#permalink]

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New post 21 Jul 2017, 01:07
1 to the power anything will always be 1.
1) sufficient
2) value will change depending on the value of x. Insufficient.

A is the answer.

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Re: Is x^y = 1? (1) x = 1 (2) y = 1  [#permalink]

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New post 23 Jul 2017, 18:26
➔ For this type of questions, the answer is A.
==> In the original condition, there is 2 variable (x,y) and in order to match the number of variables to the number of equations, there must be 2 equations. Since there is 1 for con 1) and 1 for con 2), C is most likely to be the answer. By solving con 1) and con 2), you get \(x^y=1^1=1\), hence it is unique and sufficient. The answer is C. However, according to tip4, a trivial condition cannot be the answer, so if you solve con 1) and con 2) separately, for con 1), you substitute x=1, and get \(x^y=1^y=1\), which is unique and sufficient.

The answer is A.
Answer: A
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Re: Is x^y = 1? (1) x = 1 (2) y = 1   [#permalink] 23 Jul 2017, 18:26
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