Explanation:

To determine the values of ‘&’ and ‘#’ such that the number 51&918#0 is divisible by 9, we apply the divisibility rule for 9: the sum of a number’s digits must be a multiple of 9.

- Calculate the sum of the known digits: 5 + 1 + 9 + 1 + 8 + 0 = 24.

- Add the placeholders: 24 + & + # must be a multiple of 9.

Let's evaluate each option:

1. Option 1: & = 9, # = 8

- Sum = 24 + 9 + 8 = 41, not a multiple of 9.

2. Option 2: & = 2, # = 2

- Sum = 24 + 2 + 2 = 28, not a multiple of 9.

3. Option 3: & = 4, # = 5

- Sum = 24 + 4 + 5 = 33, not a multiple of 9.

4. Option 4: & = 8, # = 4

- Sum = 24 + 8 + 4 = 36, which is a multiple of 9.