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If x is an integer, is x odd?

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V
Joined: 02 Sep 2009
Posts: 42575

Kudos [?]: 135410 [0], given: 12692

If x is an integer, is x odd? [#permalink]

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New post 20 Dec 2015, 05:02
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Question Stats:

60% (00:45) correct 40% (00:46) wrong based on 122 sessions

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Kudos [?]: 135410 [0], given: 12692

Manager
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Joined: 17 Aug 2015
Posts: 102

Kudos [?]: 99 [0], given: 341

Location: India
Concentration: Strategy, General Management
Schools: Duke '19 (II)
GMAT 1: 750 Q49 V42
GPA: 4
WE: Information Technology (Investment Banking)
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Re: If x is an integer, is x odd? [#permalink]

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New post 20 Dec 2015, 08:37
Bunuel wrote:
If x is an integer, is x odd?

(1) x + 4 is an odd integer.
(2) x/3 is NOT an even integer.


(A) - (1) IS SUFFICIENT, (2) IS NOT

(1) x+4 is odd. Therefore, x+2 is odd, and so is x+0 (i.e. x). Basically, adding a multiple of two to any integer keeps its odd/even'ness' the same.

(2) x/3 is not an even integer. So, it could be - a fraction OR an odd integer. Consider x = 7 . Then x/3 is a fraction. Similarly, x=8 gives x/3 as a fraction. However, x=15 gives an odd quotient. NOT SUFFICIENT.
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Kudos [?]: 99 [0], given: 341

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Joined: 26 Jun 2017
Posts: 114

Kudos [?]: 32 [0], given: 218

Location: Russian Federation
Concentration: General Management, Strategy
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Re: If x is an integer, is x odd? [#permalink]

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New post 26 Oct 2017, 11:35
Bunuel wrote:
If x is an integer, is x odd?

(1) x + 4 is an odd integer.
(2) x/3 is NOT an even integer.


(1) x + even = odd ---> x - odd ---> sufficient
(2) x/3 can be either odd integer or a fraction
2.1. x/3=5 ---> x = 15 ---> yes
2.2. x/3 = 0,5 ---> x = 1,5 ---> no

The answer is A.

(2_new). x/3 is an integer, not even
If instead of (2) we had (2_new) then the answer would be D.

Kudos [?]: 32 [0], given: 218

Re: If x is an integer, is x odd?   [#permalink] 26 Oct 2017, 11:35
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