Problem of the Day
A new programming or logic puzzle every Mon-Fri

Perfect Square

What number fits these conditions?

  1. First digit is a perfect square
  2. Second digit is a perfect square
  3. Third digit is a perfect square
  4. Number formed by first and second digits in order is perfect square
  5. Number formed by third and fourth digits in order is perfect square
  6. Number formed by fifth and sixth digits in order is perfect square
  7. Number formed by last three digits in order is perfect square

All digits can be assumed non-zero and unique.

Permalink: http://problemotd.com/problem/perfect-square/

Comments:

  • Hayk - 10 years, 1 month ago

    491625!

    reply permalink

  • David - 9 years, 2 months ago

    As much fun as an alternative answer would have been, it is sufficient to state that since 3, 7, and 8 do not show up in the ones digit of any of the squares in the range [1,9], the conditions are sufficient to have a unique answer.

    reply permalink

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