CAT Quantitative Ability Questions | CAT Set Theory questions
CAT/1994
Question . 28
Ghoshbabu is staying at Ghosh Housing Society, Aghosh Colony, Dighoshpur, Calcutta. In Ghosh Housing Society 6 persons read daily Ganashakti and 4 read Anand Bazar Patrika; In his colony there is no person who reads both. Total number of persons who read these two newspapers in Aghosh Colony and Dighoshpur is 52 and 200 respectively. Number of persons who read Ganashakti in Aghosh Colony and Dighoshpur is 33 and 121 respectively; while the persons who read Anand Bazar Patrika in Aghosh Colony and Dighoshpur are 32 and 117 respectively.
Number of persons in Dighoshpur who read only Ganashakti is
Explanatory Answer
Method of solving this CAT Quantitative Ability Question from Set Theory question
(b) Suppose G and A are represented by Ganashakti and Anand Bazar Patrika respectively
Ganashakti = 121 Anand Bazar Patrika = 117
Given that n(G ∪ A) = 200
=> (121 - x) + x + (117 - x) = 200
=> x = 238 - 200 = 38
No. of persons in Dighospur who read only Ganashakti
= 121 - x = 121 - 38 = 83,