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# 0 is an integer, neither positive nor negative. What else do

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Intern
Joined: 26 Nov 2006
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0 is an integer, neither positive nor negative. What else do [#permalink]  28 Nov 2006, 15:51
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0 is an integer, neither positive nor negative. What else do I need to know about 0?

Is 0/2 undefined for GMAT and I don't have to worry about using 0 for plugging-in?

Here's the DS:

If p and q are integers, is (p + q) / 2 an integer?

1) p < 17
2) p = q

I picked E because I plugged in 0 in s2 but the correct answer is B.

Thanks!
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Manager
Joined: 19 Aug 2006
Posts: 222
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Kudos [?]: 12 [0], given: 0

Hi,

0/ (any number) =0

So even though u put '0' in st2 then it becomes 0, an integer.
Intern
Joined: 26 Nov 2006
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Kudos [?]: 0 [0], given: 0

johnycute wrote:
Hi,

0/ (any number) =0

So even though u put '0' in st2 then it becomes 0, an integer.

Now I see it. Duh, stupid mistake...

What # is undefined by GMAT? Thanks!
Manager
Joined: 04 Nov 2006
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Yep, answer is B. In case you want to see the approach...

The question is basically asking "Is p+q even?". For it to be even, both p and q have to be odd or both have to be even. Zero is an even integer, by the way.

(1) Just pick numbers...if p=16 and q=3, then (p+q)/2 is not an integer. But if you pick p=16 and q=2, then (p+q)/2 is an integer. Or you could just use the rephrasing of the question I mentioned above and you'll know right away it's insufficient.

(2) If p=q, then (p+q)/2 is just equal to 2p/2, or 2q/2. In either case, you get p or q, both of which are integers. So it is sufficient.
SVP
Joined: 05 Jul 2006
Posts: 1519
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Kudos [?]: 115 [0], given: 39

If p and q are integers, is (p + q) / 2 an integer?

1) p < 17
2) p = q

(p + q) / 2 will be an intiger only if p+q= even ie : even + even or odd+odd

from one p could be either or odd or even and no data about q....insuff

from two

p = q thus both can be even ( 0 is even) or both are odd

thus p+q / 2 is even intiger.....suff

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