Read the information given below and answer the two items that follow :

There are 120 musicians in a club and 5% of them can play all the three instruments viz. guitar, violin and flute. It so happens that the number of musicians who can play only two of the above-mentioned instruments is 30. The 40 musicians can play guitar alone.

There are 120 musicians in a club and 5% of them can play all the three instruments viz. guitar, violin and flute. It so happens that the number of musicians who can play only two of the above-mentioned instruments is 30. The 40 musicians can play guitar alone.

This question was previously asked in

Haryana Civil Services CSAT 2019 Previous Paper 1 (Held On: 31 March 2019)

Option 3 : 44

Using the following diagram:

Here, p + q + r + s + t + u + v = 120 ......(1)

and, v = 5 % of 120 = 5/100 × 120 = 6

v = 6 .....(2)

q + r + t = 30 ......(3)

p = 40 ......(4)

Substituting the values of (2), (3), (4) in (1) we get,

p + q + r + s + t + u + v = 120

40 + 30 + s + u + 6 = 120

s + u = 120 - 76

s + u = 44

So, musicians who can either play violin alone or flute alone are 44.

Hence, option 3 is the correct answer.