JEE Main & Advanced Mathematics Sets Question Bank Self Evaluation Test - Sets

  • question_answer
    A survey shows that 61%, 46% and 29% of the people watched ?3 idiots??, ?Raajneeti? and ?Avatar? respectively. 25% people watched exactly two of the three movies and 3% watches none. What percentage of people watched all the three movies?

    A) 39%                 

    B) 11%

    C) 14%     

    D) 7%

    Correct Answer: D

    Solution :

    [d]The given condition is as follows- We know that \[\{(a+d+e+g)+(b+d+f+g)+(c+e+f+g)\}\]\[-(d+e+f)-2g=a+b+c+d+e+f+g\] Or \[61x+46x+29x-25x-2g=97x\] Or \[2g=14x\,\,or\,\,g=7x\]


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