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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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Joined: 22 Aug 2013
Posts: 1428
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, 11:49
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Difficulty:

55% (hard)

Question Stats:

54% (01:42) correct 46% (01:33) wrong based on 67 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: 234
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, 12:01
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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Director
Joined: 09 Mar 2018
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Location: India
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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19 Feb 2019, 03:21
amanvermagmat wrote:
If P and Q are non zero integers, is P+Q even?

(1) P^Q < 0

(2) 3*P is an even integer.

from 1, we can say that P will be a negative odd or an even integer, this will give us 2 values for the question

from 2, we can just say that P will be an even integer

Now when we combine, we can say that p is an -ive even integer and for 1 to hold good, Q has to be an odd integer

This will make the question as a No

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   [#permalink] 19 Feb 2019, 03:21
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