Brain Teasers
A Five Digit Square
There is a five digit square number, each digit is also a nonzero square number, and its digits are in ascending order.
What is it?
What is it?
Answer
11449=107^2.Hide Answer Show Answer
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Comments
Nice number!!
How do you solve this kind of teasers?
I failed to deduce that same number can also imply "non-descending"
Well, sometimes there isn't a good neat formula to use in solving problems like this one. You have to use some reasoning. Using the given conditions, the number would end in 1, 4, or 9, meaning its square root could end in 1, 2, 3, 7, 8, or 9. 1, 2, or 3 would give you a square of one digit. Only 7 squared would give you a two digit number, both of whose digits would be squares. Reasoning if the square root were a three digit number whose tens digit were 0 and whose units digit were 7, the square number would end in 49. Only 1, 2, or 3 in the hundreds place would result in a five digit square. By a lucky chance, I started guessing with 107, which squared was 11449.
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