Explanation:

- Let’s call the work amount as 1 unit.

- Aman + Raman complete it in 30 days ? 1/30 work per day.

- Raman + Manan complete in 36 days ? 1/36 per day.

- Manan + Aman complete in 45 days ? 1/45 per day.

- Adding these: (A+R) + (R+M) + (M+A) = 1/30 + 1/36 + 1/45 = 2(A+R+M)

- LCM of 30, 36, 45 is 180. So convert each:

- 1/30 = 6/180

- 1/36 = 5/180

- 1/45 = 4/180

- Total: (6+5+4)/180 = 15/180 = 1/12

- So, 2(A+R+M) = 1/12 ? (A+R+M) = 1/24

- All three together complete the work in 24 days.

Options:

1. 12 days

2. 18 days

3. 24 days

4. 28 days