Question

In a certain locality, 44% of the residents read Indian Express, 35% read The Hindu and 43% read The
Times of India. 10% read all the three. Also 15% read both Indian Express and The Hindu, 16% read
both The Hindu and The Times of India and 17 % read both Indian Express and The Times of India. 64
residents do not read any newspaper.

Can anyone draw a Venn diagram with the explanation of the outcomes.?​

Answer 1

Step-by-step explanation:

as shown in the image the explanation carried out...

like if impressed.

thank you

Answer 2

Answer:

$16$ residents do not read any newspaper is the correct answer.

Step-by-step explanation:

Let's consider the residents in a locality $U$ (say) be $100$, i.e.,

$U=100$

Let $I$ = Indian express

$H$ = The Hindu

$T$ = The Times of India

According to the question,

Number of residents who read Indian times, $n(I)$ = 44% of 100

                                                                                  = 44 residents

Number of residents who read The Hindu, $n(H)$ = 35% of 100

                                                                                 = 35 residents

Number of residents who read The Times of India, $n(T)$ = 43% of 100

                                                                                              = 43 residents

No. of residents read all three, $n$($I$∩$H$∩$T$) = 10% of 100

                                                                      = 10

Both Indian Express and The Hindu, $n$($I$∩$H$) = 15% of 100

                                                                           = 15

Both The Hindu and The Times of India, $n$($H$∩$T$) = 16% of 100

                                                                                   = 16

Both Indian Express and The Times of India, $n$($I$∩$T$) = 17% of 100

                                                                                         = 17

Using formula,

$n(I\cup H\cup T)=n(I)+n(H)+n(T)-n(I\cap H)-n(H\cap T)-n(I\cap T)+n(I\cap H\cap T)$

⇒ $n(I\cup H\cup T)=44+35+43-15-16-17+10$

⇒ $n(I\cup H\cup T)=84$

The number of residents do not read any newspapers,

= $U-n(I\cup H\cup T)$

= $100-84$

= 16

#SPJ2