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# Is the product of j, k, l and m, or jklm, an odd number?

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Manager
Joined: 25 Jun 2012
Posts: 65
Followers: 0

Kudos [?]: 46 [0], given: 21

Is the product of j, k, l and m, or jklm, an odd number? [#permalink]

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10 Nov 2012, 04:54
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Difficulty:

45% (medium)

Question Stats:

61% (01:40) correct 39% (01:47) wrong based on 18 sessions

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Is the product of j, k, l and m, or jklm, an odd number?

(1) j^4 + k^4 + l^2 + m^2 = 0

(2) -j = k = -l = m
[Reveal] Spoiler: OA

Last edited by Bunuel on 10 Nov 2012, 04:57, edited 1 time in total.
Edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 35284
Followers: 6641

Kudos [?]: 85658 [0], given: 10242

Re: Is the product of j, k, l and m, or jklm, an odd number? [#permalink]

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10 Nov 2012, 05:01
Is the product of j, k, l and m, or jklm, an odd number?

(1) j^4 + k^4 + l^2 + m^2 = 0 --> j^4, k^4, l^2, and m^2 are all non-negative numbers. The sum of non-negative numbers is zero only when all of them equal to zero, thus j=k=l=m=0 --> jklm=0=even. Sufficient.

(2) -j = k = -l = m. If all variables equal to zero, then the answer is NO but if k=m=1 and j=l=-1, then the answer is YES. Not sufficient.

Hope it's clear.
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Re: Is the product of j, k, l and m, or jklm, an odd number?   [#permalink] 10 Nov 2012, 05:01
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