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    Question

    When a number is divided by 23, the quotient obtained

    is 168, and the difference between the quotient and the remainder is 152. Determine the number.
    A 3140 Correct Answer Incorrect Answer
    B 2880 Correct Answer Incorrect Answer
    C 3654 Correct Answer Incorrect Answer
    D 3880 Correct Answer Incorrect Answer

    Solution

    Let the number be 'X'. The difference between the quotient and the remainder is 152, which means, the remainder is less than quotient. (because remainder cannot be more than the divisor i.e. 23) So, the remainder = 168 - 152 = 16 Number = Divisor X Quotient + Remainder 'X' = 23 X 168 + 16 So, X = 3,880 Therefore, the given number = X = 3,880

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