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Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer

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Math Expert
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Joined: 02 Sep 2009
Posts: 51167
Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer  [#permalink]

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New post 02 Aug 2018, 03:59
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

88% (00:29) correct 12% (00:46) wrong based on 271 sessions

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Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer  [#permalink]

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New post 02 Aug 2018, 04:04
Bunuel wrote:
Is the integer p even?

(1) The integer p^2 + 1 is odd.
(2) The integer p + 2 is even.



(1) The integer p^2 + 1 is odd.

This means even + odd = odd...........P is even

Sufficient

(2) The integer p + 2 is even.

This means even + even = even...........P is even

Sufficient

Answer: D
Director
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Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer  [#permalink]

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New post 02 Aug 2018, 04:06
Bunuel wrote:
Is the integer p even?

(1) The integer p^2 + 1 is odd.
(2) The integer p + 2 is even.


NEW question from GMAT® Quantitative Review 2019


(DS01104)



Statement 1:

p^2 + 1 = odd

P has to be even in this case. odd + odd = even but even + odd = odd.

Sufficient.

Statement 2:

p + 2 = even

Sufficient.

Odd + 2 = odd

even + 2 = even .

The best answer is D.
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Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer  [#permalink]

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New post 02 Aug 2018, 04:10
(1) The integer p^2 + 1 is odd.
For p^2 + 1 to be odd, p^2 must be even, and an square of even integer is always even
Sufficient

(2) The integer p + 2 is even.
For p + 2 to be even, p must always be even, for 2 is anyway even
Sufficient

Hence, D.
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Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer  [#permalink]

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New post 27 Oct 2018, 21:50
(A) The integer p^2 + 1 is odd.

Therefore, E+O = O Thus.P is Even

Sufficient

(B) The integer p + 2 is even.

Therefore, E+E = E Thus.P is Even

Sufficient

IMO D

:)
GMAT Club Bot
Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer &nbs [#permalink] 27 Oct 2018, 21:50
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Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer

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