Question

8)
that the number formed is
In each of the following replace " by a digit
divisible by 11
(1) 64*2456 (ii) 86*6194​

Answer 1

Answer:

1)6 2)8

Step-by-step explanation:

1)sum of odd digit places=6+x+4+6=16

sum of even digit places=4+2+5=11

difference=16-11=5

x=6

2)sum of odd digit places=8+x+1+4=13

sum of even digit places=6+6+9=21

difference=21-13=8

x=8

Answer 2

Step-by-step explanation:

(i) 64 × 2456

It is divisible by 11

The difference between the sum of digits of odd places and the sum of digits of even place is

divisible by 11or it is zero.

Now, 6 + 4 + * + 6 – 5 + 2 + 4 [which is divisible by 11]

16 + * – 11 is divisible by 11

5 + x is divisible by 11

∴ * is 6.

(ii) 86 × 6194

It is divisible by 11

The difference between the sum of digits of odd places and the sum of digits of even places

is divisible by 11 or it is zero.

Now, 4 + 1 + + 8 = 13 +

9 + 6 + 6 = 21

21 – (13 + *) is divisible by 11

21 – 13 – * is divisible by 11

8 – * is divisible by 11

∴ * is 8.