Answer :

Lets Let T,R and M are the people who use Television, Radio and Magazines respectively.

Number of people who use Television n(T) = 115

Number of people who use Radio n(R) = 110

Number of people who use Magazine n(M) = 130

Number of people who use Television and Magazines, n(T ∩ M) = 85

Number of people who use Television and Radio, n(T ∩ R) = 75

Number of people who use Radio and Magazine, n(R ∩ M) = 95

Number of people who use all the three n(T ∩ R ∩ M) = 70

Here we have to find,

Number of People using Radio only = n(R’)

Number of People using Television only = n(T’)

Number of People using Television & magazine but not radio = n(T∩M∩R’)

Using the data given we can draw a Venn diagram,

So from the Venn diagram it’s clear that

(i) Number of People using Radio only = R’ = 10

(ii) Number of people using television only = T’ = 25

(iii) Number of People using Television & magazine but not radio = n(T∩M∩R’) = 15

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