Question

8. In each of the following replace · by a digit so that the number formed is divisible
8. In each of the following replace * by a digit so that the number formed is divisible
by 11:
(1) 8+ 9484
(ii) 9 * 53762.​

Answer 1

In (1) there is no * but there is a (+) plus symbol. So it is wrong ❌

Now on moving to the second the Answer :

You question is wrong. Because when you place any digit between 0 to 9 it will all come on decimal expansion.

So you're WRONG

Answer 2

Answer:

6, 3

Step-by-step explanation:

Easiest way to check if a number id divisible by 11 is :

(Sum of digits at odd place) - (Sum of digits at even place) = 0 or divisible by 11

i)

(Sum of digits at odd place) = 8 + 9 + 8 = 25

(Sum of digits at even place) = x + 4 + 4 = 8 + x

25 - ( 8+ x) should be divisible by 11  or 0

since to get a 0 we would have to add 17 in 8 so that 25 - 25 = 0 so that's not an option.

Next we could try for getting the nearest multiple of 11 which would be 22 (25-3) not possible in this scenario.

Our next best bet is trying to get 11 itself which would be 25 - 14

Hence 8 + x should be equal to 14

8+x = 14

therefore x = 6

You can follow the same steps for the (ii) problem to arrive at 3 as the answer