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Properties of Determinants

The number of...

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

A

10

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B

7

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C

4

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D

0

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Solution

The correct option is D
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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