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

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Manager
Joined: 04 Dec 2005
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If n is a odd number and a perfect square less than 1000. [#permalink]  19 Jan 2007, 08:48
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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16.
(1^2 through 31^2 for odd numbers)
Director
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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?
Intern
Joined: 22 Sep 2006
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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.
Senior Manager
Joined: 23 Jun 2006
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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.
Director
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Ah..ok.. Thanks
Manager
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late 16
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# If n is a odd number and a perfect square less than 1000.

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