Question

Rashi asked Aarush to take a two digit number and then reverse it. After that, she asked him to add the first number and the reversed number, then finally to divide it by 11. She told him that the remainder is 1. Is the statement true.

• A. No
• B. False

Answer 1

The correct option is B

False

Let's take a two digit number 'ab'.

Hence the original number will be $10\times a+1\times b$.

When we reverse the number, it will become 'ba', the reversed number will be $10\times b+1\times a$.

If we add both the numbers we get
$(10\times a+1\times b)+(10\times b+1\times a)=11(a+b)$

So the sum is divisible by 11 and hence the remainder will be 0. $\therefore$ the given statement is false