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# If n is a odd number and a perfect square less than 1000.

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Manager
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If n is a odd number and a perfect square less than 1000. [#permalink]

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19 Jan 2007, 09:48
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If n is a odd number and a perfect square less than 1000. How many values of n are possible?
Senior Manager
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19 Jan 2007, 10:02
16.
(1^2 through 31^2 for odd numbers)
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19 Jan 2007, 10:41
hobbit wrote:
16.
(1^2 through 31^2 for odd numbers)

Thanks I was going for 32 since I was thinking it is not specified if n>0. So took the range of odd numbers from -31 -- 31. Is that not required?
Basic question - aren't negative numbers odd/even?
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19 Jan 2007, 11:12
I'm agree with 32.

There is a subtle difference between GMATClub and real GMAT -> real GMAT almost never plays positive/negative card, GMATClub always does that.
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19 Jan 2007, 13:36
it is not 32... and the positive/negative issue is not relevant here at all...
the question ask about odd numbers that are perfect squares which are less than 1000.... it doesn't ask for odd numbers that, if squared, the result is less than 1000....
so the numbers we count are the squares themselves:
1,9,25,49,81,121,....,961
there are 16 of those.
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19 Jan 2007, 13:37
Ah..ok.. Thanks
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19 Jan 2007, 15:22
late 16
19 Jan 2007, 15:22
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# If n is a odd number and a perfect square less than 1000.

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