KVPY Sample Paper KVPY Stream-SX Model Paper-16

  • question_answer
    There are twenty bags each containing 10 bulbs and it is known that no bag contains more than 5 defective bulbs and 3 bags have 5 defective bulbs. 4 bags have atleast 4 defective bulbs, 5 bags have atleast 3 defective bulbs, 6 bags have atleast 2 defective bulbs and 7 bags have atleast 1 defective bulb. Then the ratio of total defective bulbs is to non-defective bulbs is ?

    A) \[\frac{4}{7}\]

    B) \[\frac{3}{7}\]    

    C) \[\frac{2}{7}\]  

    D) \[\frac{1}{7}\]

    Correct Answer: D

    Solution :

    Total number of bulbs = 200 Total number of defective bulbs \[=1\,\,(7-6)+2\,\,(6-5)+3\,\,(5-4)+4\,\,(4+4-3)+5\,\,(3)\]=25. Answer is \[\frac{25}{175}=\frac{1}{7}.\]


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