Question 117

A 4-digit number is formed by repeating a 2-digit number such as 1515, 3737, etc. Any number of this form is exactly divisible by

Solution

let's say digit is pqpq
or pq00 + pq
or pq*100 + pq
or pq (100 + 1)
or pq (101)
hence digit will always be divisible by 101


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