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

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Bunuel
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Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post   02 Aug 2018, 04:59
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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)
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D
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Mo2men
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Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post   02 Aug 2018, 05:04
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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
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Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post   02 Aug 2018, 05:06
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] New post   02 Aug 2018, 05:10
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(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] New post   27 Oct 2018, 22:50
(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

:)
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Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post   27 Dec 2019, 11:05
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What about 0? Or is zero considered an even number? Many thanks!
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Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post   03 Aug 2020, 08:14
What if p was 9 or 11? Then 9^2 = 18 + 1 = ODD, but p is also odd? The same would happen with 11
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Bunuel
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Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post   03 Aug 2020, 08:41
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db0108 wrote:
What if p was 9 or 11? Then 9^2 = 18 + 1 = ODD, but p is also odd? The same would happen with 11


9^2 = 81, not 18 and 81 + 1 is even not odd.
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Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post   03 Aug 2020, 08:45
Bunuel wrote:
db0108 wrote:
What if p was 9 or 11? Then 9^2 = 18 + 1 = ODD, but p is also odd? The same would happen with 11


9^2 = 81, not 18 and 81 + 1 is even not odd.


Thank you, clearly I need more sleep!!
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Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post   03 Aug 2020, 12:40
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mashedpotatoooo wrote:
What about 0? Or is zero considered an even number? Many thanks!


Yes, 0 is considered even!

Even integer => Any integer divisible by 2; and 0 is divisible by 2 (any all other numbers except 0 itself - the quotient in each case is 0 itself !)

In fact: -2, -4, etc. are also even integers


Clearly, the answer is D:

From 1: p^2 + 1 = Odd => p^2 = Odd - 1 Odd - Odd = Even => p = Even - Sufficient
From 2: p + 2 = Even => p = Even - 2 = Even - Even = Even - Sufficient

Answer D
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Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink] New post   09 Nov 2020, 09:28
Is the integer p even?

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

even + odd = odd

(2) The integer p + 2 is even.

even + even = even

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] New post   04 May 2023, 12:46
Is the integer p even?

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

Even +odd = odd
This means p^2 is even.. hence, p is even (sufficient)

(2) The integer p + 2 is even.

Even+even = even
This means that p is even.. (sufficient)

Ans Choice D
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Re: Is the integer p even? (1) The integer p^2 + 1 is odd. (2) The integer [#permalink]
04 May 2023, 12:46
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