Question 3. The smallest digit by which *' should be replaced in
710*95, so that the number formed is
divisible by 3 is:

2

Step-by-step 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