Answer:
2
Explanation:
Given:
710*95
Find the smallest digit by
which * should be replaced, so that the number formed is
divisible by 3
The first step is to add the numbers
7 + 1 + 0 + * + 9 + 5 = 22 + *
Next step is to find the multiples of 3
3 = 6, 9, 12, 15, 18, 21, 24, 27, 30
Step 3:
Since the addition of the digits = 22 + *
Then find a number to add to 22 which gives the next multiples of 3 after 22(that is 24)
24 = 22 + *
* = 24 - 22
= 2
* = 2
Substituting * = 2 into 710*95
We have,
710295
Therefore, the smallest digit by
which * should be replaced, so that the number formed is
divisible by 3 is 2
Check:
710,295 / 3
= 236,765