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 asked him if there's any remainder left?Aarush's reply will be -

• A. No
• B. No
• C. 2 is the remainder
• D. 3 is the remainder

Answer 1

The correct option is B No

Let's take a two digit number 'ab'. Its general form is 10 × a + 1 × b. If we reverse it then the number will become 'ba'. Its general form will be 10 × b + 1 × a.
If we add both the numbers we get
(10 × a + 1 × b) + (10 × b + 1 × a) = 11(a+b)
Hence when divided by 11 it does not leave a remainder.