NIFT PG 2014 Question Paper with solutions

Question : 58 of 150

Marks: +1, -0

On dividing a certain number by 342, we get 47 as the remainder. If the same number is divided by 18, what will be the remainder?

Solution:

Let the number is x
Then,

x=342×I+47

where, I = 1, 2, 3, ......
When same number x is divided by 18, we get

x/18={342×I+47}/18

=19×I+47/18=19×I+2{11/18}

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