1.

Consider the number `N = 8 7 a 2 7 9 3 1 b` , where a , b are single digit whole numbers. The least value of a for which N is is divsible by 12 is

Answer» Correct Answer - A
The least value …………..
N is divisible by 12, if N is divisible by 3 as well as by 4 for divisiblity by 4, we have
`b = 2,6`
For divisibility by 3, we have
`8+7+a+2+7+9+3+1+b= a+b+37` is divisible by 3
i.e. `a+b+1` is divisible by 3
(i) when b = 2, N is divisible by 3 if `a = 0, 3, 6, 9`
(ii) when b = 6, N is divisible by 3 if `a = 2, 5, 8`
`:.` least value of a is 0


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