Question : A number when divided by 221, leaves a remainder of 30. If the same number is divided by 13, the remainder will be:
Option 1: 4
Option 2: 3
Option 3: 2
Option 4: 1
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Correct Answer: 4
Solution :
Let the number be $x$
According to the question,
$x$ = 221 × q + 30 (Let q be the quotient)
⇒ $x$ = 13 × 17 × q + 26 + 4
⇒ $x$ = 13 × (17 × q + 2) + 4
So, when the same number is divided by 13, the remainder will be 4.
Hence, the correct answer is 4.
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