Latest CTS Aptitude Question SOLUTION: 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 onl

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(#M40007159) CTS Logical Reasoning question number problem Keep an EYE

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

Asked In CTS (13 years ago)

Unsolved Read Solution (6)

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Read Solution (6) :

jasmine Rajasekhar  (13 years ago)

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

Is this solution Helpfull? Yes (14) | No (4)  

sruthi  (10 years ago)

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.

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farhana sultana  (12 years ago)

=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)

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Akash saha  (5 years ago)

120-(6+30+40)=44

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RANGASWAMY  (5 years ago)

ans is 38.

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ADITYA SHUKLA  (3 years ago)

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

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