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If P and Q are non zero integers, is P+Q even? (1) P^Q < 0 (2) 3*P

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If P and Q are non zero integers, is P+Q even? (1) P^Q < 0 (2) 3*P  [#permalink]

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New post 26 Jul 2018, 11:49
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53% (01:20) correct 47% (01:15) wrong based on 17 sessions

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If P and Q are non zero integers, is P+Q even?

(1) P^Q < 0

(2) 3*P is an even integer.
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Joined: 23 May 2017
Posts: 235
Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)
Re: If P and Q are non zero integers, is P+Q even? (1) P^Q < 0 (2) 3*P  [#permalink]

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New post 26 Jul 2018, 12:01
If P and Q are non zero integers, is P+Q even?

(1) \(P^Q\) < 0

(2) 3*P is an even integer.

[1] : p has to be negative and q has to be odd

p = -3 & q = 1 or - 1 ; \((-3)^1\) = (\(-3)^-1\)

p can be odd or even hence p + q = odd + odd = even or even + odd = odd - hence 1 is not sufficient

[2] p = even but we do not know about q

1 & 2 : p + q = odd = C
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Re: If P and Q are non zero integers, is P+Q even? (1) P^Q < 0 (2) 3*P &nbs [#permalink] 26 Jul 2018, 12:01
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