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M03#35

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M03#35 [#permalink] New post 03 Jan 2011, 00:09
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
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.
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Re: M03#35 [#permalink] New post 03 Jan 2011, 03:16
Expert's post
gmatdelhi wrote:
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.


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.
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Re: M03#35 [#permalink] New post 03 Jan 2011, 09:32
Thank you so much Bunuel! Explanation's great! :)
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Read about my GMAT prep at http://gmatting.blogspot.com/
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My Practice GMAT Scores
29th Jan '11 -- GMATPrep#2 : 700 (Q47 V38)
23rd Jan '11 -- MGMAT Practice Test #3 : 670 (Q45 V36)
19th Jan '11 -- GMATPrep#1 v.1 : 710 (Q49 V37)
15th Jan '11 -- GMATPrep#1 : 720 (Q47 V42)
11th Jan '11 -- MGMAT Practice Test #2 : 740 (Q47 V44)
6th Jan '11 -- Kaplan#2 : 620 (Q40 V35)
28th Dec '10 -- PowerPrep#1 : 670 (Q47 V35)
30th Oct '10 -- MGMAT Practice Test #1 : 660 (Q45 V35)
12th Sept '10 -- Kaplan Free Test : 610 (Q39 V37)
6th Dec '09 -- PR CAT #1 : 650 (Q44 V37)
25th Oct '09 -- GMATPrep#1 : 620 (Q44 V34)

If you feel like you're under control, you're just not going fast enough.
A goal without a plan is just a wish.
You can go higher, you can go deeper, there are no boundaries above or beneath you.

Re: M03#35   [#permalink] 03 Jan 2011, 09:32
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