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:


Options:
A .   11
B .   33
C .   77
D .   73
E .   Cannot be determined
Answer: Option D
:
D

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=73×137. Thus N has to be a multiple of 73 or 137. Answer is option (d).



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