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Consider number N = 8 7 a 2 7 9 3 1 b, w...

Consider number N = 8 7 a 2 7 9 3 1 b, where b is a digit at unit's place and a is a digit at ten lakh's place. The greatest value of b for which N is divisible by 8 is (A9 prime (B) composite (C) even (D) odd

A

`0`

B

`2`

C

`4`

D

`6`

Text Solution

Verified by Experts

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