5 Jan 2018: Daily MCQ

REFID: 26648

A four-digit number formed by repeating a two digit number is always exactly divisible by

Correct Answer: 101 

Solution [By Monika Muneesh Narmadha.K.M]

Let the unit digit y and tenth digit x
Then 4 digit formed by repeating a two digit number as 1000x+100y+10x+y
-> 1010x + 101y
-> 101(10x + y)
So that number must be divisible by 101 ,also 101 is the smallest three digit prime number

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