Question

If the number 904k08 is completely divisible by 11, then the smallest whole number in place of k will be:

Answer 1

Divisibility rule of 11:

Sum of the odd places of digits should be equal to the sum of even places of the digits.

According to the question,

9 + 4 + 0 = 0 + k + 8

k + 8 = 13

k = 13 - 8

k = 5.

Hence the smallest value of 'k' is 5.

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