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    Question

    When a number is divided by 19, the quotient is 145,

    and the difference between the quotient and the remainder is 134. Find the number.
    A 2756 Correct Answer Incorrect Answer
    B 2896 Correct Answer Incorrect Answer
    C 2781 Correct Answer Incorrect Answer
    D 2745 Correct Answer Incorrect Answer

    Solution

    Let the number be 'X'. The difference between the quotient and the remainder is 134, which means, the remainder is less than quotient. (because remainder cannot be more than the divisor i.e. 19) So, the remainder = 145 - 134 = 11 Number = Divisor × Quotient + Remainder 'X' = 19 × 145 + 11 So, X = 2,756 Therefore, the given number = X = 2,756

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