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    Question

    There are three types of maggi masala maggi, aata maggi

    and vegetable maggi in a bag. The probability of picking a vegetable maggi at random is 6/11. The total number of aata maggi is half of vegetable maggi. The probability picking 1 masala maggi and 1 aata maggi out of total number of maggi is 72/715. Find the total number of maggi in bag.
    A 56 Correct Answer Incorrect Answer
    B 60 Correct Answer Incorrect Answer
    C 70 Correct Answer Incorrect Answer
    D 66 Correct Answer Incorrect Answer
    E 55 Correct Answer Incorrect Answer

    Solution

    Let total number of maggi be 11x Therefore, number of vegetable maggi = 6x Number of aata maggi type = 6x/2 = 3x Number of masala maggi = 2x According to the question, {(2xC1 ├Ч 3xC1)/11xC2} = 72/15 => 2x ├Ч 3x/11x (1x тАУ 1) = 72/715 => 66x тАУ 6 = 65x => x = 6 Therefore, total number of maggi = 11x = 66

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