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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 ? Correct Answer 44

Total number of musicians = Number of musicians who play only one instrument + number of musicians who play any of the two instruments + number of musicians who can play all three instruments
120 = 40 + musicians who play violin alone + musicians who play flute alone + 30 + 6
120 = 76 + musicians who play violin alone + musicians who play flute alone
musicians who play violin alone + musicians who play flute alone = 44

Hence, 44 musicians can play either violin alone or flute alone.

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