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03 Jan 2011, 01:09
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Official Explanation:
Statement (1) by itself is sufficient. All the variables equal zero, and the product of the variables is zero; therefore their product is even.
My issue here is: is 0 an even number? I thought it was neither even nor odd. I've made flashcards where I put in this statement, but I don't remember the source. So I'm confused about 0 now. Help?!
Statement (2) by itself is insufficient. The variables can be either odd or even. If all the variables are even, their product is even; if they are odd, their product is odd.
The correct answer is A.
Statement (1) by itself is sufficient. All the variables equal zero, and the product of the variables is zero; therefore their product is even.
My issue here is: is 0 an even number? I thought it was neither even nor odd. I've made flashcards where I put in this statement, but I don't remember the source. So I'm confused about 0 now. Help?!
Statement (2) by itself is insufficient. The variables can be either odd or even. If all the variables are even, their product is even; if they are odd, their product is odd.
The correct answer is A.
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03 Jan 2011, 04:16
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gmatdelhi
Zero is an even integer.
An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder.
An even number is an integer of the form \(n=2k\), where \(k\) is an integer.
So for \(k=0\) --> \(n=2*0=0\).
For more on number properties check: math-number-theory-88376.html
As for the question:
Is the product abcd even?
(1) a^2+b^2+c^2+d^2=0 --> number squared is always non-negative (zero or positive), so the sum of 4 non-negative values to be 0 then each must be zero, so abcd=0=even. Sufficient.
(2) a=b=c=d. Clearly insufficient.
Answer: A.
Hope it's clear.
03 Jan 2011, 10:32
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Thank you so much Bunuel! Explanation's great! 
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Hi there,
Archived GMAT Club Tests question - no more replies possible.
Where to now? Try our up-to-date Free Adaptive GMAT Club Tests
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