Question

In a survey, one-fifth youths like cell phone only and 16 did not like cell phone at all. Also 60%

youths like camera but 8 like none of them.
(i) Show the above information in a Venn diagram.
(ii) How many youths like both the things?
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Answer 1

Answer: Let, n(U) be=x only (p)=x/5 only(ca)=16 n(pnc)=?n(c)=60%ofx=0.6x

then,

Only (c)=n(c)-n(cnp)

16=0.6x-n(cnp)

n(cnp)=0.6x-16

again,

n(U)=only(p)+only (c)+n(cnp)+n(pUc)of complement

x=x/5+16+0.6x-16+8

5x=x+3x+40

x=40

n(cnp)=0.6x-16=0.6×40-16=8

Explanation: