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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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