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    A number when divided by 35 leaves a remainder 18 . What will be the remainder when it is divided by 7?
    Question

    A number when divided by 35 leaves a remainder 18 . What will be the remainder when it is divided by 7?

    A.

    5

    B.

    4

    C.

    3

    D.

    6

    Correct option is B

    Given:
    Divisor 1 = 35
    Remainder 1 = 18
    Divisor 2 = 7
    Formula Used:
    If Divisor 1 is perfectly divisible by Divisor 2, the new remainder is the remainder when Remainder 1 is divided by Divisor 2.
    Solution:
    Let the number be N.
    N = 35k + 18
    We need to find the remainder when N is divided by 7.
    N = 7 × 5k + 14 + 4
    N = 7(5k + 2) + 4
    Since 35 is completely divisible by 7, the new remainder is simply the remainder when 18 is divided by 7.
    18 = 7 × 2 + 4
    The remainder is 4.
    Final Answer
    So the correct answer is (b)

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