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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 × 3xC1)/11xC2} = 72/15 => 2x × 3x/11x (1x – 1) = 72/715 => 66x – 6 = 65x => x = 6 Therefore, total number of maggi = 11x = 66

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