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In a group of 150 persons ,70 read English newspaper ,90 read Hindi newspaper only 40 read both newspaper.how many persons read read I) English newspaper only II) Hindi newspaper only III) neither English newspaper nor hindi newspaper ?
Most Upvoted Answer
In a group of 150 persons ,70 read English newspaper ,90 read Hindi ne...
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We have,
n(U) = 150
n(E) = 70, n(H) = 90
n(E ∩ H) = 40
so, n(E ∪ H) = 70 + 90 - 40 = 120
(i) n(E - H) = n(E) - n(E ∩ H) = 70 - 40 = 30
(ii) n(H - E) = n(H) - n(H ∩ E) = 90 - 40 = 50
(iii) n(U) - n(E ∪ H) = 150 - 120 = 30
We have,
n(U) = 150
n(E) = 70, n(H) = 90
n(E ∩ H) = 40
so, n(E ∪ H) = 70 + 90 - 40 = 120
(i) n(E - H) = n(E) - n(E ∩ H) = 70 - 40 = 30
(ii) n(H - E) = n(H) - n(H ∩ E) = 90 - 40 = 50
(iii) n(U) - n(E ∪ H) = 150 - 120 = 30
Community Answer
In a group of 150 persons ,70 read English newspaper ,90 read Hindi ne...
Problem:
In a group of 150 persons, 70 read English newspaper, 90 read Hindi newspaper only, 40 read both newspapers. How many persons read:
- English newspaper only
- Hindi newspaper only
- Neither English newspaper nor Hindi newspaper
Solution:
Let's represent the given data using a Venn diagram:
From the Venn diagram, we can see that:
- Number of persons who read English newspaper only = 70 - 40 = 30
- Number of persons who read Hindi newspaper only = 90 - 40 = 50
- Number of persons who read neither English newspaper nor Hindi newspaper = 150 - (30 + 40 + 50) = 30
Answer:
- English newspaper only: 30 persons
- Hindi newspaper only: 50 persons
- Neither English newspaper nor Hindi newspaper: 30 persons
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In a group of 150 persons ,70 read English newspaper ,90 read Hindi newspaper only 40 read both newspaper.how many persons read read I) English newspaper only II) Hindi newspaper only III) neither English newspaper nor hindi newspaper ?
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In a group of 150 persons ,70 read English newspaper ,90 read Hindi newspaper only 40 read both newspaper.how many persons read read I) English newspaper only II) Hindi newspaper only III) neither English newspaper nor hindi newspaper ? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In a group of 150 persons ,70 read English newspaper ,90 read Hindi newspaper only 40 read both newspaper.how many persons read read I) English newspaper only II) Hindi newspaper only III) neither English newspaper nor hindi newspaper ? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a group of 150 persons ,70 read English newspaper ,90 read Hindi newspaper only 40 read both newspaper.how many persons read read I) English newspaper only II) Hindi newspaper only III) neither English newspaper nor hindi newspaper ?.
In a group of 150 persons ,70 read English newspaper ,90 read Hindi newspaper only 40 read both newspaper.how many persons read read I) English newspaper only II) Hindi newspaper only III) neither English newspaper nor hindi newspaper ? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In a group of 150 persons ,70 read English newspaper ,90 read Hindi newspaper only 40 read both newspaper.how many persons read read I) English newspaper only II) Hindi newspaper only III) neither English newspaper nor hindi newspaper ? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a group of 150 persons ,70 read English newspaper ,90 read Hindi newspaper only 40 read both newspaper.how many persons read read I) English newspaper only II) Hindi newspaper only III) neither English newspaper nor hindi newspaper ?.
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