Explanation:

The LCM of 33 and 55 is 165. This is the starting point.
If a number leaves a remainder of 4 when divided by 33,
it can leave remainders 4, 37, 70, 103, and 136.
Or the number can be of the form 165n +4, or 165n + 37 or 165n + 70, 103 or 136
When divided by 55, the possible remainders are 4, 37, 15, 48 and 26.
Hence, option 2 is the correct answer.