Question
Download Solution PDFA six-digit number Is divisible by 33. If 54 Is added to the number, then the new number formed will also be divisible by:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A six-digit number Is divisible by 33
Formula used:
Dividend = divisor × quotient + remainder
Calculation:
Dividend = divisor × quotient + remainder
⇒ 33 × q + 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.
∴ The correct option is 1.
Mistake Points
Please note that this is the official paper of SSC and SSC has given the 3 as the correct answer, but 111111 is also the 6 digit number and if we add 54 it will be divisible by both 3 and 5.
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