In a class, every student participated in one of the three activities i.e. folk song, kathak and quiz. 22% of the total students participated in folk song. 25% of the remaining students participated in kathak. The remaining students participated in quiz. What percentage of students participated in quiz?

Let the total number of students = T

22% of the total students participated in folk song

Number of students participated in folk song = $$\frac{22}{100}$$T

Remaining students = T - $$\frac{22}{100}$$T = $$\frac{78}{100}$$T

25% of the remaining students participated in kathak

Number of students participated in kathak = $$\frac{25}{100}\times\frac{78}{100}$$T = $$\frac{39}{200}$$T

Remaining students participated in quiz.

Number of students participated in quiz = T - $$\frac{22}{100}$$T - $$\frac{39}{200}$$T = $$\frac{117}{200}$$T

Percentage of students participated in quiz = $$\frac{\frac{117}{200}T}{T}\times100$$ = 58.5%

Hence, the correct answer is Option D