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# If n is a positive integer, is n + 425,371 odd? (1) n - 268,865 is odd

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If n is a positive integer, is n + 425,371 odd? (1) n - 268,865 is odd  [#permalink]

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10 Apr 2018, 21:04
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Difficulty:

35% (medium)

Question Stats:

86% (00:54) correct 14% (00:39) wrong based on 32 sessions

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If n is a positive integer, is n + 425,371 odd?

(1) n - 268,865 is odd.
(2) 890,214n is even.

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Re: If n is a positive integer, is n + 425,371 odd? (1) n - 268,865 is odd  [#permalink]

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10 Apr 2018, 21:53
Bunuel wrote:
If n is a positive integer, is n + 425,371 odd?

(1) n - 268,865 is odd.
(2) 890,214n is even.

So basically we are asked whether (n + odd) is odd or not? Given 'n' is a positive integer, this will be odd when 'n' is even. So we need to know for sure whether n is even or not.

(1) n - odd is odd, this can only happen when n is even. Sufficient.

(2) I assume this means 890214 * n (product) or even*n. Now even multiplied by any integer (whether even or odd) will give even result, So we cannot be sure whether 'n' is odd or even. Not sufficient.

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Re: If n is a positive integer, is n + 425,371 odd? (1) n - 268,865 is odd  [#permalink]

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10 Apr 2018, 22:03
amanvermagmat wrote:
Bunuel wrote:
If n is a positive integer, is n + 425,371 odd?

(1) n - 268,865 is odd.
(2) 890,214n is even.

So basically we are asked whether (n + odd) is odd or not? Given 'n' is a positive integer, this will be odd when 'n' is even. So we need to know for sure whether n is even or not.

(1) n - odd is odd, this can only happen when n is even. Sufficient.

(2) I assume this means 890214 * n (product) or even*n. Now even multiplied by any integer (whether even or odd) will give even result, So we cannot be sure whether 'n' is odd or even. Not sufficient.

How are you assuming 890214n as 890214*n ?
It can happen the other way too.
If n is 44 then 890214n will be 89021444
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If n is a positive integer, is n + 425,371 odd? (1) n - 268,865 is odd  [#permalink]

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10 Apr 2018, 22:09
teaserbae wrote:
amanvermagmat wrote:
Bunuel wrote:
If n is a positive integer, is n + 425,371 odd?

(1) n - 268,865 is odd.
(2) 890,214n is even.

So basically we are asked whether (n + odd) is odd or not? Given 'n' is a positive integer, this will be odd when 'n' is even. So we need to know for sure whether n is even or not.

(1) n - odd is odd, this can only happen when n is even. Sufficient.

(2) I assume this means 890214 * n (product) or even*n. Now even multiplied by any integer (whether even or odd) will give even result, So we cannot be sure whether 'n' is odd or even. Not sufficient.

How are you assuming 890214n as 890214*n ?
It can happen the other way too.
If n is 44 then 890214n will be 89021444

Yes, that case could also be there. Thats why I wrote 'I assume' because if I had complete clarity then I wouldn't have needed to assume anything.
If second statement means 890214*n = even then n could be even or odd.
But if second statement means 890214n (n is just placed after the digit 4) is Even - then n will be even.
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Re: If n is a positive integer, is n + 425,371 odd? (1) n - 268,865 is odd  [#permalink]

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11 Apr 2018, 08:18
Bunuel wrote:
If n is a positive integer, is n + 425,371 odd?

(1) n - 268,865 is odd.
(2) 890,214n is even.

Given : n > 0

Question: Is n + odd = odd ?

Or Is n = odd - odd ?

Or Is n = even ?

St 1: n - odd = odd

Or n = odd + odd

Or n = even Sufficient

St 2: n * even = even

Or n = $$\frac{even}{even}$$

Or n = even or odd Insufficient

n = $$\frac{6}{2}$$ = 3 (Odd)

n =$$\frac{8}{4}$$ = 2 (Even)

Hence (A)
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Re: If n is a positive integer, is n + 425,371 odd? (1) n - 268,865 is odd &nbs [#permalink] 11 Apr 2018, 08:18
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