Question : 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:
Option 1: 3
Option 2: 2
Option 3: 5
Option 4: 7
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Correct Answer: 3
Solution :
A six-digit number is divisible by 33.
Let the number be $x$.
So, that digit is also divided by the factor of 33, which is 3, 11.
If 54 is added then the number will be $x + 54$.
Factors of 54 are 2, 3, 9.
3 is a common factor.
Hence, the correct answer is 3.
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