How would you approach this problem?

121 is a palindrome. It is an integer which is the same number when it is reversed. Find an integer n n such that n 2 n^2 is a palindrome with 6 digits.


The answer is 836.

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2 solutions

Ananya Aaniya
Jul 29, 2015

A hint: We have the squares of non zero 9 digits as: 1, 4, 9, 16, 25, 36, 49, 64, 81 check the unit's digit and the tenth's digit .. narrow down.. intelligently.. rest is on u to find out... :D

Atreyee Saha
Jun 22, 2015

It is the only number whose square is a 6-digit palindrome. One may write a computer program to find it out. Or simply refer to http://www.fengyuan.com/palindrome.html

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