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    Question

    Find the least number of four digits which is exactly

    divisible by 6, 24 and 32?
    A 1089 Correct Answer Incorrect Answer
    B 1204 Correct Answer Incorrect Answer
    C 1105 Correct Answer Incorrect Answer
    D 1056 Correct Answer Incorrect Answer

    Solution

    Least four digit number = 1000 So when 1000 is divided by LCM of 6,24 & 32 (i.e.96), remainder is 40. So when gap of divisor & remainder is added to 1000, it will be completely divided by 96 & answer will be = 1000 + (96-40) = 1000 + 56 = 1056.

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