Question

When a 4 digit number pqrs is multiplied by N, the 4 digit number repeats itself to give an 8 digit no. If the 4 digit number has all distinct digits then N is a multiple of:

• A. 11
• B. 33
• C. 77
• D. 73

Answer 1

The correct option is D

73

The number is of the form pqrs, which when multiplied by N, gives a number of the form pqrspqrs.

This is possible if N = 10001.

However, $10001=73\times 137$. Thus N has to be a multiple of 73 or 137. Answer is option (d).