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Question

Study the following information carefully to answer the questions.
The teachers colony has 2800 members, out of which 650 members read only English newspaper. 550 members read only Hindi newspaper and 450 members read only Marathi newspaper.

The number of members reading all the 3 newspaper is 100. Members reading Hindi as well as English newspaper are 200. 400 members read Hindi as well as Marathi newspaper and 300 members read English as well as Marathi newspaper.

How many members read atleast two newspapers?

A
600
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B
800
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C
500
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D
1000
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E
None of these
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Solution

The correct option is D 1000
We can get the following venn diagram from the given information

According to the question,
a = 650; f = 550;
g = 450; c = 100;
b + c = 200; c + e = 400
c + d = 300
b = 100; e = 300 and d = 200

Number of member who read atleast two newspaper
= 200 + 400 + 300 + 100
= 1000

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