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    Question

    A number 'N' when divided by 14 leaves 6 as remainder.

    If 9N2 is divided by 14, then find the remainder.
    A 2 Correct Answer Incorrect Answer
    B 4 Correct Answer Incorrect Answer
    C 6 Correct Answer Incorrect Answer
    D 8 Correct Answer Incorrect Answer

    Solution

    ATQ, N = 14x + 6 So, 9N2 = 9 X (14x + 6)2 = 9 X (196x┬▓ + 168x + 36) = 1764x┬▓ + 1512x + 324 We can see that both 1764 and 1512 are divisible by 14 So, required remainder will depend on 324 ├╖ 14. 324 = 14 X 23 + 2 So, required remainder = 2 Hence, option a.

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