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    Question

    When a number is divided by 25, the quotient is 140,

    and the difference between the quotient and the remainder is 126. Find the number.
    A 3514 Correct Answer Incorrect Answer
    B 3520 Correct Answer Incorrect Answer
    C 3540 Correct Answer Incorrect Answer
    D 3560 Correct Answer Incorrect Answer

    Solution

    Let the number be 'X'. The difference between the quotient and the remainder is 126, which means, the remainder is less than quotient. (because remainder cannot be more than the divisor i.e. 25) So, the remainder = 140 - 126 = 14 Number = Divisor × Quotient + Remainder 'X' = 25 × 140 + 14 So, X = 3,514 Therefore, the given number = X = 3,514

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