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Replace * by the smallest digit so that 723*56 is divisible by 6.
Question

Replace * by the smallest digit so that 723*56 is divisible by 6.

A.

4

B.

3

C.

2

D.

1

Correct option is D

Given:
Number: 723*56
Formula Used:
A number is divisible by 6 if it is divisible by both 2 and 3.
To check divisibility by 2, the last digit should be even.
To check divisibility by 3, the sum of the digits should be divisible by 3.
Solution:
Sum of the digits: 7 + 2 + 3 + * + 5 + 6
Sum = 23 + *
The sum should be divisible by 3.
Possible values for * are 1, 4, 7,
Since we need the smallest digit => * = 1

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