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January 14th, 2014, 02:45 PM   #1
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A question that sounds like a middle school one

Among the one hundred numbers 1^2, 2^2, 3^2, ..., 99^2, 100^2, how many of them have an odd number as the tens digit?

The answer sheet says to try, but I don't like that
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January 14th, 2014, 03:11 PM   #2
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Re: A question that sounds like a middle school one

Quote:
Originally Posted by p99410
Among the one hundred numbers 1^2, 2^2, 3^2, ..., 99^2, 100^2, how many of them have an odd number as the tens digit?

The answer sheet says to try, but I don't like that
I'm going to stick my neck out and say 20.

The pattern seems to be, if the number ends in 4 or 6 then it will be odd, otherwise it is even, except for squares of 1, 2, and 3 whose squares are less than 10.
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January 18th, 2014, 03:18 PM   #3
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Re: A question that sounds like a middle school one

Thanks, problem solved.
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