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Question
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 ?
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 ?
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Solution
The correct option is B 44
Option C is the correct answer.ExplanationMusicians that can all the three instruments - guitar, violin and flute are 5% of 120=6Musicians that can play only two instruments =30 Musicians that can play guitar alone =40Total number who can play violin alone and flute alone=120−(40+6+30)=120−76=44
Option C is the correct answer.
Explanation
Musicians that can all the three instruments - guitar, violin and flute are 5% of 120=6
Musicians that can play only two instruments =30
Musicians that can play guitar alone =40
Total number who can play violin alone and flute alone=120−(40+6+30)=120−76=44
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