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w, x, y and z are all integers. Is wxyz even?

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w, x, y and z are all integers. Is wxyz even?  [#permalink]

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New post 05 Jun 2016, 14:23
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69% (01:24) correct 31% (01:46) wrong based on 122 sessions

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w, x, y and z are all integers. Is wxyz even?

(1) wxy is odd.

(2) xy – z is even.

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Re: w, x, y and z are all integers. Is wxyz even?  [#permalink]

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New post 05 Jun 2016, 14:29
w, x, y and z are all integers. Is wxyz even?

(1) wxy is odd. This implies that all of them are odd. If z is even, then wxyz = even but if z is odd, wxyz = odd. Not sufficient.

(2) xy – z is even. All of them can be odd as well as even. Not sufficient.

(1)+(2) We know from (1) that x and y are odd, thus from (2) we have odd - z = even --> z = odd --> wxyz = odd. Sufficient.

Answer: C.
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Re: w, x, y and z are all integers. Is wxyz even?   [#permalink] 05 Jun 2016, 14:29
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w, x, y and z are all integers. Is wxyz even?

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