Question

There are 150 ladies in hostel 102 ladies like hindi serials 74 ladies like English serials 34 ladies do not like hindi or English serials
How many ladies like both hindi and English serials

Answer 1

first 150 ladies In hostel

second 102 like Hindi serial

third 74 like English serial

and 34 ladies do not like Hindi and English serial

so he want how many ladies like Hindi and English both serial

first - 150 - 34 = 116

second - 74 × 102 = 7548

third - 7548 ÷ 116 = 65

so 65 ladies like Hindi and English serial both

Answer 2

Given: There are 150 ladies in hostel. 102 like Hindi serials while 74 ladies like English serials. 34 of them do not like any of them.

To find: Number of ladies who like both Hindi and English serials

Explanation: Total ladies= 150

Number of ladies who do not like any type= 34

Number of ladies left = 150-34 = 116

Let the number of ladies who like Hindi serials be denoted as n(A) and number of ladies who like English serials be denoted as n(B).

Therefore, n(A)=102

n(B)= 74

n(A∪B) = 116

We have to find ladies who like both,i.e, n(A∩B)

Formula used is: n(A∪B)= n(A)+n(B)-n(A∩B)

=> 116 = 102+74- n(A∩B)

=> n(A∩B)= 176-116

= 60

Therefore, the number of ladies who like both Hindi and English serials is 60.