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Intern  Joined: 12 Sep 2012
Posts: 15
Is the integer P odd?  [#permalink]

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Difficulty:   15% (low)

Question Stats: 82% (01:33) correct 18% (02:11) wrong based on 114 sessions

HideShow timer Statistics Is the integer P odd?

(1) The sum of P, P + 4, and P+ 11 is even.
(2) The sum of P – 3, P, and P+ 11 is odd.

Originally posted by jrzayev001 on 16 Oct 2013, 23:08.
Last edited by Bunuel on 17 Oct 2013, 02:31, edited 1 time in total.
Renamed the topic and edited the question.
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Joined: 10 Oct 2012
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Re: Is the integer P odd? - DS  [#permalink]

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jrzayev001 wrote:
Is the integer P odd?
(1) The sum of P,P + 4, and P+ 11 is even.
(2) The sum of P – 3,P, and P+ 11 is odd.

(1)p+p+4+p+11 = 3p+15 = even --> 3p = even-odd = odd. Thus, as 3p = odd, p has to be odd.Sufficient.

(2)p-3+p+p+11 = 3p+8 = odd --> 3p = odd-even = odd , just as above, p is odd. Sufficient.

D.
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Re: Is the integer P odd? - DS  [#permalink]

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What about P to be zero?
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Re: Is the integer P odd? - DS  [#permalink]

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jrzayev001 wrote:
What about P to be zero?

p cannot be zero, because then the given fact statements will not hold good. Think about it.
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Re: Is the integer P odd? - DS  [#permalink]

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Yes, i did not think about that Intern  Joined: 17 Dec 2012
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Re: Is the integer P odd?  [#permalink]

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Is the integer P odd?

(1) The sum of P, P + 4, and P+ 11 is even.
(2) The sum of P – 3, P, and P+ 11 is odd.

St 1: Let us add all the terms; we get,

3P + 15 = even ..... Hence, 3P is odd ( since even - 15 = Odd)
Therefore P is odd
Sufficient.

St 2: Let us add all the terms; we get,

3P + 8 = odd .... Hence, 3P is odd (since, odd- 8 = odd)
Therefore P is odd
Sufficient.

Intern  S
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Re: Is the integer P odd?  [#permalink]

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St 1: P + P+4+P+11 = 3p +15 =3(P+5) = Even
Odd * Even ( Odd + Odd) = Even

St 2: P-3+P+P+11 = 3P + 8 = Odd
Odd (Odd * Odd) + Even = Odd

Hence, D
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Re: Is the integer P odd?  [#permalink]

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jrzayev001 wrote:
Is the integer P odd?

(1) The sum of P, P + 4, and P+ 11 is even.
(2) The sum of P – 3, P, and P+ 11 is odd.

1 means 3p + 15 is even, so 3p is odd,
so yes p is odd

2 means 3p + 8 is odd, so 3p is odd - 8 = odd
So p is odd.

D it is Re: Is the integer P odd?   [#permalink] 16 Sep 2018, 06:31
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