What is the total number of those who can play violin alone or flute alone ?

Out of a total of 120 musicians in a club, 5% can play all the three instruments, guitar, violin and It so happens that the number of musicians who can play any two and only two of the above instruments is 30. The number of musicians who can play the guitar alone is 40. What is the total number of those who can play violin alone or flute alone ?

  1. 45
  2. 44
  3. 38
  4. 30
Anurag Mishra Professor Asked on 29th January 2016 in Maths.
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  • 1 Answer(s)

    Answer: (2) 44 

    Explanation:-
    5% is equal to 6
    So,  6 musicians can play all three.

    30 can play any two or only two.
    40 can play guitar alone.

    so the number of musicians who can play flute or violin alone would be 120 – (30+40+6)
    = 120 – 76 => 44

    Hence, the correct answer is option (2) 44. 

    Anurag Mishra Professor Answered on 30th January 2016.
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