If \(\over3\times2\) s a multiple of 11, where x is a digit, what is the value of x?

Question

 If \(\over3\times2\) is a multiple of 11, where x is a digit, what is the value of x?

Answer 1

\(\over3\times2\) is a multiple of 11.

A number is divisible by 11 if and only if the difference between the sum of odd and even place digits is a multiple of 11.

i.e., Sum of even placed digits – Sum of odd placed digits = 0, 11, 22…

x – (3+2) = 0, 11, 22…

x – 5 is a multiple of 11

x – 5 = 0

∴ x = 5