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(TMR’)


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(TMR’) = 15


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