(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