Saturday, 28 May 2011

Interesting Number Pattern - 24 - Question!

Find this 4 digit number - call it as ABCD

- It is a perfect square
- If you reverse the number, it is also a perfect square (DCBA)
- The sum of the first two digits and the last two digits of the number is the square root of DCBA

Please don't use Google or don't write a  program :)

More than the answer just examine ABCD, DCBA after you are through and see how simple but beautiful the pattern is

2 comments:

  1. I found a number 9801 (99*99) sum of 98+01=99 and also square root of 1089 is 33. But i think i am not satisfying 3rd condition here, but sum of first and last two digits is square root of ABCD and not DCBA.

    Trying to find the number that satisfies third condition

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  2. Mahesh - This is correct. The sum of the first and last two digits is 10+89 = 99 and it is the root of 9801 which is DCBA

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