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Question

The number of two digit numbers n such that the difference of n and the number formed by reversing the digits of n, is prime, is


  1. 0

  2. 10

  3. 7

  4. 4


Solution

The correct option is A

0


Let the 2 - digit number be 10x + y where x, y are the digits in the order.Now, (10x + y ) - (10y + x ) = 9 (x - y), is always divisible by 9 or otherwise zero. Hence it cannot be a prime.

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