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Ds -Odd even number

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Director
Joined: 08 Jul 2004
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Ds -Odd even number [#permalink]  04 Aug 2004, 01:35
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions

Is Y even?

(1) 2Y is even.

(2) Y^2 is even.

Last edited by saurya_s on 04 Aug 2004, 02:12, edited 1 time in total.
Director
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Hi bigtooth
I meant Y square in choice 2. I have corrected that. can you explain your answer.
Senior Manager
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Ok. See, odd x odd = odd
even x even = even
From (2) you have Y^2 = even means Y x Y = even. There's only one possibility for Y x Y = even when Y is even. Hope it is clear enough.
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Senior Manager
Joined: 19 May 2004
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I would pick C here.

1) Insufficient - obvious.

1+2) sufficient.
Manager
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Dookie wrote:
I would pick C here.

1) Insufficient - obvious.

1+2) sufficient.

hmmm..good point

so then from (1), we get 2.sqrt(2). This is not an integer. So you are conluding that Y is not even because it is not an integer.

I'd have chosen B, but Dookie is right, question does not mention whether Y is integer. So B would be wrong.
Senior Manager
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Yeah, you'r right Dookie. I just want to kick myself
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Joined: 07 Jul 2004
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Statement 1
2Y = even
Y = even/2

Any even number divided by 2 has to be even. So (1) is sufficient

Statement2
Y^2 = even
In order for Y^2 to be even, Y has to even. So (2) is also sufficient.

A way to test is to take some arbitary numbers:

If Y is even - 0,2,4,6,8,10..
Y^2 is even - 0,4,16,36,64,100...

If Y i odd - 1,3,5,7,9,11...
Y^2 is odd - 1,9,25,49,121...

So answer is (D), both statements on their own are sufficient.
Director
Joined: 20 Jul 2004
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C?

Is Y even?

(1) 2Y is even.
2Y = 4 shows Y = 2(even)
2Y = 6 shows Y = 3(odd)
Not sufficient.

(2) Y^2 is even.
Y^2 = 2 shows Y = sqrt(2) (not even)
Y^2 = 4 gives Y = 2 (even)
Not sufficient.

(3) together
taking both statements will exclude choices like Y = 3 or sqrt(2) from above. 2 satisfies both statements and ans to the question is "Yes, Y is even".
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Good catch, hardworker ! Statement 2 should be insufficient while statmenet 1 is sufficient. In this repsect, it should be A since the gmat states that C is "both statements are sufficient while neither one is"
Manager
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i understand each statements is insufficient alone. Fine....

Put togather we cannot say whether Y is even, because even after we put these two togather, we have the same problem as they individually had.

I prefer a E to this question. what is the OA ? please
Director
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ywilfred wrote:
Statement 1
2Y = even
Y = even/2

Any even number divided by 2 has to be even. So (1) is sufficient

ywilfred, I still think (1) is not sufficient by itself.

Nevetheless, I dont agree with "Any even number divided by 2 has to be even. "
6 is an even number. This when divided by 2 gives 3, which is not even.
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