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 ?

A) 30 B) 38 C) 44 D) 45

• ANS: 44
  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
• 13 years agoHelpfull: Yes(14) No(4)
• Out of total 120 musicians 40 can play only Guitar. That leaves remaining 80 persons of which 30 can play only two or any two instruments. Excluding this we now have 50 persons of which 6 persons (5% of 120) can play all the three instruments. Excluding this we now have 44 persons who can now either play Violin or flute alone.
• 10 years agoHelpfull: Yes(4) No(2)
• =total-(only G+5% of 120+any 2 and only 2)
  =120-(40+5/100*120+30)
  =120-(40+6+30)
  =120-76
  =44(using Venn diagram)
• 12 years agoHelpfull: Yes(2) No(2)
• 120-(6+30+40)=44
• 5 years agoHelpfull: Yes(1) No(0)
• ans is 38.
• 5 years agoHelpfull: Yes(0) No(0)
• Solve this using venn diagram
  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
• 3 years agoHelpfull: Yes(0) No(0)