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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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DS Forum Moderator
Joined: 21 Aug 2013
Posts: 1412
Location: India
If P and Q are non zero integers, is P+Q even? (1) P^Q < 0 (2) 3*P  [#permalink]

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26 Jul 2018, 10:49
1
00:00

Difficulty:

35% (medium)

Question Stats:

57% (01:28) correct 43% (01:19) wrong based on 21 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.
Manager
Joined: 23 May 2017
Posts: 241
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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26 Jul 2018, 11:01
1
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, 11:01
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