Sainik School Entrance Exam 2021 Solved Paper

Question : 44 of 150

Marks: +1, -0

The difference of a two-digit number and the number obtained by reversing the digits is always a multiple of

Solution:

(b) Let the two digit number is

10 x+y

.
On reversing the digits the number is

10 y+x

Difference

=(10 x+y)-(10 y+x)

=10 x+y-10 y-x=9 x-9 y

=9(x-y)

So, it is always a multiple of

9 .

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