Question

Solve for 'x' if
(i) x is 5 digit number
(ii) x is divisible by '11' and
(iii) x has '1' in its units, hundreds and thousands and ten thousands.

Answer 1

Lets assume that a, b, c, d and e are the digits that form the five digits number x from right to left.

By the given data, a = c= d = e = 1

Since x is divisible by 11, from divisibility test of 11,

a + c + e = b + d

Substitute the values,

1 + 1 + 1 = b + 1

Hence, b = 2

So, x = 11121.

Divisibility test for 11 : If sum of digits at odd places is equal to sum of digits at even places in a number, then the number is divisible by 11 and vise versa.