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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. So happens that the number of musicians who can play any two-and only two of the above instruments is 3. The number of musicians who can play the guitar alone is 40. What is the total number of those musicians who can play violin alone or flute alone ?

A
30
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B
38
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C
44
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D
45
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Solution

The correct option is C 44
Out of 120 only 5% can play all the instruments.
So, 6 musicians can play all three instruments.
Only 30 musicians can play any two or only two instruments and 40 can play guitar alone.
So the number of musicians who can play flute or violin alone would be 120(30+40+6)=12076=44.
Hence, option C is correct.

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