Question : When n is divided by 4, the remainder is 3. The remainder when 2n is divided by 4 is:
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 6
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Correct Answer: 2
Solution :
Given: Divisor = 4, remainder = 3
Let quotient = q and dividend = n
Dividend = (Divisor × Quotient) + Remainder
⇒ n = (4 × q) + 3
Multiplying both sides by 2
⇒ 2n = 8q + 6
⇒ 2n = 4 × 2q + 6
When 2n is divided by 4, the first part 4 × 2q gives the remainder 0, and the second part 6 gives the remainder 2.
Required Remainder = 0 + 2 = 2
Hence, the correct answer is 2.
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