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    Question

    When a number is divided by 21, the quotient is 160,

    and the difference between the quotient and the remainder is 144. Find the number.
    A 3376 Correct Answer Incorrect Answer
    B 3400 Correct Answer Incorrect Answer
    C 3420 Correct Answer Incorrect Answer
    D 3440 Correct Answer Incorrect Answer

    Solution

    Let the number be 'X'. The difference between the quotient and the remainder is 144, which means, the remainder is less than quotient. (because remainder cannot be more than the divisor i.e. 21) So, the remainder = 160 - 144 = 16 Number = Divisor × Quotient + Remainder 'X' = 21 × 160 + 16 So, X = 3,376 Therefore, the given number = X = 3,376

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