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Difficulty:
45%
(medium)
Question Stats:
59% (01:28) correct
41%
(01:47)
wrong
based on 86
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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
(1) j^4 + k^4 + l^2 + m^2 = 0
(2) -j = k = -l = m
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
10 Nov 2012, 05:01
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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 --> 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.
Answer: A.
Hope it's clear.
(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.
Answer: A.
Hope it's clear.
29 Mar 2017, 05:50
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