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If i and j are integers, is i+j an even integer? 1) i <

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Manager
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If i and j are integers, is i+j an even integer? 1) i < [#permalink]

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New post 13 Sep 2008, 18:58
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If i and j are integers, is i+j an even integer?

1) i < 10
2) i = j

I am confused about the OA. Please explain.

Kudos [?]: 7 [0], given: 4

Manager
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Joined: 28 Aug 2008
Posts: 101

Kudos [?]: 41 [0], given: 0

Re: OG DS #25 [#permalink]

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New post 13 Sep 2008, 19:15
IMO.... B


1) Insf .... i + j can either be even or odd (2+4 or 2+3)

2) Suf.... i + j will always be even where i=j given that i and J are integers, check it out

0+0= 0 (even integer)
-27 + -27 = -54
-12 + -12 = -24
3 + 3 = 6
8 + 8 = 16
100 + 100 =200
3001+3001= 6002 etc...

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Re: OG DS #25 [#permalink]

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New post 13 Sep 2008, 19:22
Okay when a DS question asks something that has multi variables in it...most of the statements will be insufficient if they don't include information for all of the variables.

1) i < 10

is an infinite set of numbers...and we have no idea what J is...this is INSUF

on your paper CROSS A & D

look at statement 2 and forget about statement 1..

I=J hmm

so if you rewrite what questions asks you..I+J = I+I = J+J = 2I = 2J

Well this is the mathematical expression of an even number ---> 2N

so this is SUF.

Choose B, confirm it and move on 8-)



thinkblue wrote:
If i and j are integers, is i+j an even integer?

1) i < 10
2) i = j

I am confused about the OA. Please explain.

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

Manager
Manager
avatar
Joined: 10 Apr 2008
Posts: 53

Kudos [?]: 7 [0], given: 4

Re: OG DS #25 [#permalink]

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New post 13 Sep 2008, 19:24
Aah so 0 SHOULD be an even integer?
I thought that 0 was neither odd nor even. Ok that makes sense now.

Thanks!

Kudos [?]: 7 [0], given: 4

Manager
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Joined: 10 Apr 2008
Posts: 53

Kudos [?]: 7 [0], given: 4

Re: OG DS #25 [#permalink]

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New post 13 Sep 2008, 19:24
Forgot to mention that the OA is B

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VP
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Re: OG DS #25 [#permalink]

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New post 13 Sep 2008, 23:36
thinkblue wrote:
If i and j are integers, is i+j an even integer?

1) i < 10
2) i = j

I am confused about the OA. Please explain.

IMO B .I found this one easy
Given that : i,j integers can be any even or odd

to prove i+j=even or not

(1)i<10 does not indicate i is even or odd neither any clue about j hence insufficien
(2)i=j means whether i is even or off i+j=2*i must be even ANSWERS SUFFI
IMO B
_________________

cheers
Its Now Or Never

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Re: OG DS #25 [#permalink]

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New post 15 Sep 2008, 00:45
thinkblue wrote:
Aah so 0 SHOULD be an even integer?
I thought that 0 was neither odd nor even. Ok that makes sense now.

Thanks!


Yes. 0 is treated as an even integer.

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Re: OG DS #25   [#permalink] 15 Sep 2008, 00:45
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If i and j are integers, is i+j an even integer? 1) i <

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