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    Question

    A number 'N' when divided by 14 leaves 5 as remainder.

    If 3N2 is divided by 14, then find the remainder. 
    A 3 Correct Answer Incorrect Answer
    B 5 Correct Answer Incorrect Answer
    C 7 Correct Answer Incorrect Answer
    D 9 Correct Answer Incorrect Answer

    Solution

    ATQ, N = 14x + 5 So, 3N2 = 3 X (14x + 5)2 = 3 X (196x² + 140x + 25) = 588x² + 420x + 75 We can see that both 588 and 420 are divisible by 14 So, required remainder will depend on 75 ÷ 14. 75 = 14 X 5 + 5 So, required remainder = 5 Hence, option b.

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