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Board of Directors D
Joined: 01 Sep 2010
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Is P odd ? (1) The sum of P, P + 4, and P + 11 is even. (2) The sum of  [#permalink]

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Difficulty:   15% (low)

Question Stats: 87% (01:35) correct 13% (02:04) wrong based on 43 sessions

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Is 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.

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Originally posted by carcass on 31 Oct 2018, 10:10.
Last edited by Bunuel on 31 Oct 2018, 22:05, edited 1 time in total.
Renamed the topic and edited the question.
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Joined: 24 Aug 2016
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GMAT 1: 540 Q49 V16 GMAT 2: 680 Q49 V33 Re: Is P odd ? (1) The sum of P, P + 4, and P + 11 is even. (2) The sum of  [#permalink]

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carcass wrote:
Is 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) The sum of P, P + 4, and P + 11 is even. ==> 3P+15 is even ==>3P is odd ==> P is odd ..... Suff
2) The sum of P – 3, P, and P + 11 is odd. ==> 3P+8 is dd ==>3P is odd ==> P is odd ..... Suff......................Thus Ans D
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Manager  S
Joined: 08 Sep 2008
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Location: India
Concentration: Operations, General Management
Schools: ISB '20
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Re: Is P odd ? (1) The sum of P, P + 4, and P + 11 is even. (2) The sum of  [#permalink]

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Statement 1.
Sum of P, P + 4, and P + 11 is even.
3P + 15 is even ( 3P has to be odd)
Now two case:
1) P is integer then P has to be ODD- Sufficient
2) P in not integer P=1/3 then P is not ODD- Not sufficient
Statement 2.
Sum of P – 3, P, and P + 11 is odd.
3P +8 is ODD ( 3P has to be ODD)
Again two case as above NOT sufficient
Combine two statement no change.
SO E.
Correct me if I am wrong carcass
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Vishal

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Manager  S
Joined: 08 Sep 2008
Posts: 134
Location: India
Concentration: Operations, General Management
Schools: ISB '20
GPA: 3.8
WE: Operations (Transportation)
Re: Is P odd ? (1) The sum of P, P + 4, and P + 11 is even. (2) The sum of  [#permalink]

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u1983 wrote:
carcass wrote:
Is 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) The sum of P, P + 4, and P + 11 is even. ==> 3P+15 is even ==>3P is odd ==> P is odd ..... Suff
2) The sum of P – 3, P, and P + 11 is odd. ==> 3P+8 is dd ==>3P is odd ==> P is odd ..... Suff......................Thus Ans D

is it given P is an integer?? can we assume it??
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Vishal

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Re: Is P odd ? (1) The sum of P, P + 4, and P + 11 is even. (2) The sum of  [#permalink]

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carcass wrote:
Is 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. Sum, 3P + 15 is even. So 3P is even - 15, odd. P is odd. Sufficient.
2. Sum, 3P + 8 is odd. 3P is odd - 8, odd. P is odd. Sufficient.

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Re: Is P odd ? (1) The sum of P, P + 4, and P + 11 is even. (2) The sum of  [#permalink]

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1
carcass wrote:
Is 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.

Ways to have an even number is if both are even or both are odd.

To get an odd the two numbers must differ meaning one is odd and the other is even.

Statement 1) 3p + 15 = even

This is odd + odd = even

So p must be odd. Sufficient.

Statement 2)

3p + 8 = odd

Odd + even = odd.

P is odd. Sufficient

Posted from my mobile device Re: Is P odd ? (1) The sum of P, P + 4, and P + 11 is even. (2) The sum of   [#permalink] 31 Oct 2018, 11:02
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