A radio station surveyed $190$ students to determine the types of music they liked. The survey revealed that $114$ liked rock music, $50$ liked folk music, and $41$ liked classical music, 14 liked rock music and folk music, $15$ liked rock music and classical music, $11$ liked classical music and folk music. $5$ liked all the three types of music. Find
(i) how many did not like any of the 3 types?
(ii) how many liked any two types only?
(iii) how many liked folk music but not rock music ?

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Solution

$(i)$ Only $35 did not like any types of music.

$(i i)$ The persons who liked 2 types of music $= 14 + 15 + 11 = 40$ .

$(i i i)$ The persons who liked folk music but not rock music $= 20 + 11 = 31$ .

Hence, this is the answer.

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Similar questions

Q. A radio station surveyed

190

students to determine the types of music they liked. The survey revealed that

114

liked rock music,

50

liked folk music and

41

liked classical music,

14

liked rock music and folk music,

15

liked rock music and classical music,

11

liked classical music and folk music,

5

liked all the three of music.
Find:
(i) How many did not like any of the

3

types?
(ii) How many liked any two types only?
(iii) How many liked folk music but not rock music?

Q. How many liked folk music but not rock music?

A survey was made to find the type of music that a certain group of young people liked in a city. The above pie chart shows the findings of this survey.

(i) If 20 people liked classical music, how many young people were surveyed?

(ii) Which type of music is liked by the maximum number of people?

Q. If

20

people liked classical music, how many young people were surveyed?

Q. Question 1(i)
A survey was made to find the type of music that a certain group of young people liked in a city.
The adjoining pie chart shows the findings of this survey.
From this pie chart, answer the following:

If 20 people liked classical music, how many young people were surveyed?

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(i) Only $35 did not like any types of music.(ii) The persons who liked 2 types of music =14+15+11=40.(iii) The persons who liked folk music but not rock music =20+11=31.Hence, this is the answer.

$(i)$ Only $35 did not like any types of music.

$(i i)$ The persons who liked 2 types of music $= 14 + 15 + 11 = 40$ .

$(i i i)$ The persons who liked folk music but not rock music $= 20 + 11 = 31$ .

Hence, this is the answer.