Indian Institute of Foreign Trade 2015 Solved Paper

(a) Number of families own agricultural land n (A) = 22%
Number of families own mobile phone n(B) = 18%
Number of families own mobile phone and agricultural land n(A ∩ B) = 1600
Now, Number of families own either agricultural land or a mobile phone
n(A∪B)=100−68=32%
∴(A∪B)=n(A)+n(B)−n(A∩B)
32=22+18−n(A∩B)
⇒n(A∩B)=8%
So, Total number of families = 20,000