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    Question

    When a number is divided by 17, the quotient is 132,

    and the difference between the quotient and the remainder is 120. Find the number.
    A 2256 Correct Answer Incorrect Answer
    B 2276 Correct Answer Incorrect Answer
    C 2290 Correct Answer Incorrect Answer
    D 2260 Correct Answer Incorrect Answer

    Solution

    Let the number be 'X'. The difference between the quotient and the remainder is 120, which means, the remainder is less than quotient. (because remainder cannot be more than the divisor i.e. 17) So, the remainder = 132 - 120 = 12 Number = Divisor × Quotient + Remainder 'X' = 17 × 132 + 12 So, X = 2,256 Therefore, the given number = X = 2,256

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