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    A number when divided by 602 leaves a remainder 36, what remainder would be obtained by dividing the same number by 14?

    4

    Incorrect Answer

    8

    Correct Answer

    10

    Incorrect Answer

    12

    Incorrect Answer
    Explanation:

    Let the number be 'X'
    X/602=== Remainder = 36

    X/14=== Remainder = ?
    602 is divisible by '14'. Hence the remainder will be the same as the remainder obtained by dividing the remainder 36 by 14
     Hence remainder = 36/14 = 8.
    [Its coz , 602 is a multiple of 14. Hence the quotient obtained while dividing 'X' by 602 will be perfectly divisible by '14'.So we have to check only the remainder part]

    An illustration:
    Consider a  number 82 and divisors 54 and 18. [we can see 54 is a multiple of 18]
    82/54== Remainder = 28
    82/18 == Remainder = 10
    Now ,check: Remainder 28 divided by 18 gives u the same remainder as the number 82 is divided by 18.

    So final answer = 8

    Hence, option 2 is the correct answer.


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