Interesting Numbers Property

XAT 2013 · QADI · Hard · Number Theory

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A number is interesting if on adding the sum of the digits of the number and the product of the digits of the number, the result is equal to the number. What fraction of numbers between 10 and 100 (both 10 and 100 included) is interesting?

  1. A.

    0.1

  2. B.

    0.11

  3. C.

    0.16

  4. D.

    0.22

  5. E.

    None of the above

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