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CAT 1994 | Question: 52

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Ghoshbabu is staying at Ghosh Housing Society, Aghosh Colony, Dighoshpur, Calcutta. In Ghosh Housing Society 6 persons read daily Ganshakit and 4 read Anand Bazar Patrika: in his colony there is no person who reads both. The total number of persons who read these two newspapers in Aghosh Colony and Dighoshpur is 52 and 200 respectively. The number of persons who read Ganashakti in Aghosh Colony and Dighoshpur is33 and 121 respectively; while the persons who read Anand Bazar Patrika in Aghosh Colony and Dighoshpurare32 and 117 respectively

Number of persons in Dighoshpur who read only Ganashakti is:

  1. 121 
  2. 83
  3. 79 
  4. 127

 

1 Answer

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The total number of persons who read Ganashakti and Anand Bazar Patrika = 200

Number of persons who read Ganashakti in Dighoshpur =121

Number of persons who read Anand Bazar Patrikain Dighoshpur =117

By Principle of  inclusion and exclusion,

AnandBazarPatrika $\cup$ Ganashakti = AnandBazarPatrika + Ganashakti - $\mid Ganashakti \cap Anand bazar patrika \mid$

200 = 121 + 117 - x

x = 38

People who read both  Ganashakti and Anand bazar patrika = 38

Hence,

Number of persons in Dighoshpur who read only Ganashakti  = 121 - 38 = 83

Answer is b) 83
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