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?
Reviewed by Dalvoy
UPSC Civil Services preparation
- A45
- B44Correct
- C38
- D30
Explanation
Total number of musicians is 120.
First, calculate the number of musicians who play all three instruments. 5 percent of 120 is 6.
Second, the number of musicians who play any two and only two instruments is given as 30.
Third, the number of musicians who play the guitar alone is given as 40.
To find the number of musicians who play violin alone or flute alone, we subtract all other categories from the total.
Total musicians minus musicians who play all three minus musicians who play only two minus musicians who play guitar alone equals the remaining musicians.
120 minus 6 minus 30 minus 40 equals 44.
Therefore, the total number of those who can play violin alone or flute alone is 44. The correct option is B.

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