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

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

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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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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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