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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

Kudos [?]: 64 [1], 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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64% (01:07) correct 36% (01:57) wrong based on 50 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.

Kudos [?]: 64 [1], given: 21

Math Expert
Joined: 02 Sep 2009
Posts: 42246

Kudos [?]: 132652 [0], given: 12331

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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Kudos [?]: 132652 [0], given: 12331

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Kudos [?]: 282 [0], given: 0

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

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29 Mar 2017, 05:50
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Kudos [?]: 282 [0], given: 0

Re: Is the product of j, k, l and m, or jklm, an odd number?   [#permalink] 29 Mar 2017, 05:50
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# Is the product of j, k, l and m, or jklm, an odd number?

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