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    Question

    When a number is divided by 16, the quotient is 175,

    and the difference between the quotient and the remainder is 161. Find the number.
    A 2814 Correct Answer Incorrect Answer
    B 2840 Correct Answer Incorrect Answer
    C 2864 Correct Answer Incorrect Answer
    D 2880 Correct Answer Incorrect Answer

    Solution

    Let the number be 'X'. The difference between the quotient and the remainder is 161, which means, the remainder is less than quotient. (because remainder cannot be more than the divisor i.e. 16) So, the remainder = 175 - 161 = 14 Number = Divisor Ă— Quotient + Remainder 'X' = 16 Ă— 175 + 14 So, X = 2,814 Therefore, the given number = X = 2,814

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