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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:
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:

A.

3

B.

2

C.

5

D.

7

Correct option is A

Given: 
A six-digit number is divisible by 33 
54 is added to the number
Formula Used: 
Dividend = divisor × quotient + remainder 
Solution: 
According to the question;
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. ​​

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