There are 76 persons. 53 can read hindu,46 can read times,39 can read deccan and 15 can read all.if 22 can read hindu and deccan and 23 can read deccan and times then what is the number of persons who read only times and hindu

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naveenrajpeter

  • Jul 18th, 2007
 

I think 32. because it is 15+17.

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jasu85

  • Aug 11th, 2008
 

Consider,
H: People reading Hindu
D: People reading Deccan
T: People reading Times
^: Intersection
u: Union

Therefore,
People reading Hindu: H: 53
People reading Deccan: D: 46
People reading Times: T: 39
People reading Hindu and Deccan: H^D: 22
People reading Deccan and Times: D^T: 23
People reading Hindu and Times: H^T: x
People reading Hindu, Deccan and Times: H^D^T: 15

HuDuT = H + D + T - H^D - H^T - D^T + H^D^T
76 = 53 + 46 + 39 - 22 - x - 23 +15
x=32

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