Question
Download Solution PDFA number when divided by 221, leaves a remainder 30. If the same number is divided by 13, the remainder will be:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
A number when divided by 221, leaves a remainder of 30
Concept used:
Dividend = Divisor × Quotient + Remainder
Calculations:
Let the dividend be x,
x = 221 × Q + 30
⇒ x = 221Q + 30
⇒ x = (13 × 17 × Q) + (13 × 2) + 4
⇒ x = 13(17Q + 2) + 4
∴ The same number is divided by 13, the remainder will be 4.
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