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    Question

    A number 'N' when divided by 14 leaves 9 as remainder.

    If 2N┬▓ is divided by 14, then find the remainder.
    A 6 Correct Answer Incorrect Answer
    B 8 Correct Answer Incorrect Answer
    C 10 Correct Answer Incorrect Answer
    D 12 Correct Answer Incorrect Answer

    Solution

    ATQ, N = 14x + 9 So, 2N┬▓ = 2 X (14x + 9)┬▓ = 2 X (196x┬▓ + 252x + 81) = 392x┬▓ + 504x + 162 We can see that both 392 and 504 are divisible by 14 So, required remainder will depend on 162 ├╖ 14. 162 = 14 X 11 + 8 So, required remainder = 8 Hence, option b.

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