Q. Which is the odd one out based on a divisibility test? 154, 286, 363, 474, 572, 682

(a) 474 (b) 572 (c) 682 (d) 154

Solution: Prerequisite: Read the theory section "Divisibility test".

Given: 154, 286, 363, 474, 572, 682.

We are required to find the odd one out based on divisibility test of numbers. Remember: Divisibility test for 11: A number is divisible by 11 if the difference of the sum of the digits in the even and odd positions in the number is divisible by 11.

Here 474 is the only number that is not divisible by 11. (4+4 = 8, 8 - 7 = 1, not divisible by 11.)Thus 474 is the odd one out.

**Hence option (a).**