A six-digit number is divisible by 33. If 54 is added to the number, then the new number formed will also be divisible by:

Given: ​

A six-digit number is divisible by 33 

54 is added to the number

Dividend = divisor × quotient + remainder 

33q + 0 = 33q
If 54 is added to the dividend then,
New number = 33q + 54
= 3 × (11q + 18)
So, we can clearly say that the new number is divisible by 3. ​​