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

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

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

Answer»

\(\over3\times2\) 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