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venn diagram

In town of 500 people, 285 read Hindu and 212 read Indian express and 127read Times of India 20 read hindu and times of India and 29 read hindu and Indian express and 35 read times of India and Indian express. 50 read no news paper. Then how many read only one paper?
can any one of u explain the answer

Total Answers and Comments: 1

Last Update: June 12, 2008 Asked by: balajicse

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Submitted by: vignesh_cse

The answer is 45 people read all the three news papers and 321 people read only one news paper. Just draw a venn diagram with three circles and mark the corresponding parts using the given data. If you take the intersection part of all the 3 circles as 'x'. three expressios are formed as follows: 285-(20+29+x),212-(29+35+x) and 127-(20+35+x).these equations will giv people reading hindu,indian exp and times of india respectively. add (20+29+35+x) and 285-(20+29+x),212-(29+35+x) and 127-(20+35+x) and equate it to 450. x gives the intersection of 3 circles. then u can find individual readers by sybstituting in the expressions 285-(20+29+x),212-(29+35+x) and 127-(20+35+x).

Above answer was rated as good by the following members:
scarlet7888, velkanesh

June 12, 2008 10:31:19

vignesh_cse

Member Since: June 2008 Contribution: 2

RE: venn diagram

The answer is 45 people read all the three news papers and 321 people read only one news paper. Just draw a venn diagram with three circles and mark the corresponding parts using the given data. If you take the intersection part of all the 3 circles as 'x'. three expressios are formed as follows: 285-(20+29+x) 212-(29+35+x) and 127-(20+35+x).these equations will giv people reading hindu indian exp and times of india respectively. add (20+29+35+x) and 285-(20+29+x) 212-(29+35+x) and 127-(20+35+x) and equate it to 450. x gives the intersection of 3 circles. then u can find individual readers by sybstituting in the expressions 285-(20+29+x) 212-(29+35+x) and 127-(20+35+x).

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