(i) Given Number = 294
Check the divisibility by 3
Sum of digits = 2 + 9 + 4 = 15
15 is divisible by 3 so number 294 is also divisible by 3
Check the divisibility by 9 .
Sum of digits = 2 + 9 + 4 = 15
∵ Sum 15 is not divisible by 9
∴ 294 is not divisible by 9
Check the divisibility by 11
4 x 1 + 9 x (- 1) + 2 x 1 = 4 – 9 + 2 = – 3
∴ 294 is not divisible by 11
(ii) Given Number = 4455
Check the divisibility by 3
Sum of digits = 4 + 4 + 5 + 5 = 18
18 is divisible by 3
∴4455 is divisible by 3
Check the divisibility by 9
Sum of digits 18 is divisible by 9
∴ 4455 is divisible by 9 Divisibility by 11
5 x 1 + 5 x (-1) + 4 x 1 + 4 x (-1) 5 – 5 + 4 – 4 = 0
∴ 4455 is divisible by 11
(iii) Given number = 1041966
Check the divisibility by 3
Sum of digits = 1 + 0 + 4 + 1 + 9 + 6 + 6 = 27
27 is divisible by 3
So,. 1041966 is divisible by 3
Divisibility by 9
27 is divisible by 9
∴1041966 is divisible by 9
Divisibility by 11
6 x 1 + 6 x (- 1) + 9 x 1 + 1 x (- 1) + 4 x 1 + 0 x (-1) + 1 x 1 6 – 6 + 9 – 1 + 4 + 0 + 1
= 20 – 7 = 13
But 13 is not divisible by 11
So, 1041966 is not divisible by 11
