Discussion Forum

Out of a total of 120 musicians in a club,5% can play all the three instruments - guitar' violin and flute. 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

Answer:

Explanation:

Let circles, P, Q and R represent the musicians who can play guitar, violin and flute respectively.

a+b+c+d+e+f+g=120

Number of musicians who can play all the three instruments = g=5% of 120 = 6

Number of musicians who can play any two and only two of the instruments = d +e+f = 30

Number of musicians who can play the guitar only = a = 40

Number of musicians who can play violin alone or flute only = b+c

=120-(a+d+e+f+g)=44