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When a positive integer X is divided by 6, the remainder is 5. What is the remainder when the number 2X is divided by 6?

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When a positive integer X is divided by 6, the remainder is 5. What is the remainder when the number 2X is divided by 6?
1. 5
2. 6
3. 4
4. 7
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Correct Answer - Option 3 : 4

Concept

Dividend = Divisor × quotient + remainder

Explanation

X = 6q + 5

When it is 2X is divided by 6

⇒ 2X = 2(6q + 5)

⇒ 2X = 12q + 10

⇒ 2X = (12q + 6) + 4

∴ The remainder is 4.

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