QUESTION

CSAT

Hard

Maths

Prelims 2014

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 and only two of the above instruments is 30. The number of musicians who can play guitar alone is 40. What is the total number those who can play violin alone or flute alone?

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Explanation

Total musicians = 120 Musicians who can play all three instruments = 6 Musicians who can play exactly two instruments = 30 Musicians who can play guitar alone = 40

We need to find musicians who can play either violin alone or flute alone.

Total musicians who can play violin alone or flute alone = (Total musicians who can play violin or flute) - (Musicians who can play all three instruments) Final Answer = 44.

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