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An 8-digit number 4252746B leaves remainder 0 when divided by 3. How many values of B are possible?

(a) 2

(b) 3

(c) 4

(d) 6

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Best answer

Correct option is (c) 4

A number is divisible by '3' if sum of its digits be divisible by 3.

Here, Given number is 4252746 B

Sum of its digits = 4 + 2 + 5 + 2 + 7 + 4 + 6 + B

= 30 + B.

For, B = 0, 3, 6, 9;

Sum of digits will be divisible by '3'.

Hence, number of values of B = 4.

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