Home
Class 11
MATHS
In a survey of 100 persons it was sound ...

In a survey of 100 persons it was sound that 28 read magazine A, 30 readmagazine B, 42 read magazine C, 8 read magazines A & B, 10 read magazine B&C and 3 read all the three. Find:Number of readers who read magazines are

Text Solution

Verified by Experts

Given,Total number of persons =`100`
Number of persons who read magazine`A=n(A)=28`
Number of persons who read magazine` B=n(B)=30`
Number of persons who read magazine `C=n(C)=42`
Number of persons who read both magazine A and `B=n(AnnB)=8`
Number of persons who read both magazine B and C `=n(BnnC)=5`
...
Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

  • SINE AND COSINE FORMULAE AND THEIR APPLICATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

Similar Questions

Explore conceptually related problems

In a survey of 100 persons it was found that 28 read magazine A, 30 read magazine B, 42 read magazine C, 8 read magazines A and B , 10 read magazines A and C, 5 read magazines B and C and 3 read all three magazines. Find : (i) How many read none of three magazines ? (ii) How many read magazine C only ?

In a survey of 60 people, it was found that 25 people read newspaper H. 26 read newspaper T, 26 read newspaper 1, 9 read both H and I. 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: (i) the number of people who read at least one of the newspapers. (ii) the number of people who read exactly one newspaper.

One hundred management students who read at least one of the three business magazines are surveyed to study the relationship pattern. its found that 80 read Business India,50 read Business World and 30read Business Today. Five students read all the three magazines. How many read exactly two mazines?

In a city, three daily newspapers A,B,C are published. 42% of the people in that city read A, 51% read B and 68% read C. 30% read A and B, 28% read B and C , 36% read A and C. 8% do not read any of the three newspapers. The percentage of persons who read all the three papers is

In a town of 840 persons , 450 persons read Hindi, 300 read English and 200 read both. Then, the number of persons who read neither, is

What is the percentage of persons who read all the three papers?

In a town three newspapers A, B and C are published . 42% of the people in that town read A, 68% read B, 51% read C, 30% read A and B, 28% read B and C , 36% A and C and 18% do not read any paper . Find the % of population of town that reads all the three.

RD SHARMA-SETS-Solved Examples And Exercises
  1. In a group of 950 persons, 750 can speak Hindi and 460 can speak En...

    Text Solution

    |

  2. In a group of 1000 people all of whom speak atleast one of Bengali or ...

    Text Solution

    |

  3. In a survey of 100 persons it was sound that 28 read magazine A, 30 re...

    Text Solution

    |

  4. In a group of 50 persons, 14 drink tea but not coffee and 30 drink tea...

    Text Solution

    |

  5. In a survey of 100 students, how many of students studying the various...

    Text Solution

    |

  6. Write the number of elements in the power set of null set.

    Text Solution

    |

  7. Let A={x ; x in N ,\ x is a multiple of 3} and B={x : x in N\ a n d\...

    Text Solution

    |

  8. If A and B two sets containing 3 and 6 elements respectively and if mi...

    Text Solution

    |

  9. If A={x in C : x^2=1}\ a n d\ B={x in C : x^4=1} , then write A-B\ a...

    Text Solution

    |

  10. Let A and B be two sets having 4 and 7 elements respectively. Then ...

    Text Solution

    |

  11. If A={(x ,\ y): y=1/x ,\ 0!=x in R}a n d\ B={(x , y): y=-x ,\ x in R...

    Text Solution

    |

  12. If A={(x ,\ y): y=e^x ,\ x in R}a n d\ B={(x , y): y=x, x in R} , th...

    Text Solution

    |

  13. If A and B are two sets such that n(A)=20 ,\ n(B)=24\ a n d\ n(AuuB)=4...

    Text Solution

    |

  14. If A and B are two sets such that n(A)=115 ,\ n(B)=326 ,\ n(A-B)=47 , ...

    Text Solution

    |

  15. For any set A ,(A ')' is equal to a.A ' b. A c. phi d. none of these

    Text Solution

    |

  16. Let A and B be two sets in the same universal set. Then, A-B= a.A\ n...

    Text Solution

    |

  17. The number of all possible subsets of a set containing n elements ?

    Text Solution

    |

  18. For any two sets A and B Ann(AuuB)= B b. A c. phi d. none of these

    Text Solution

    |

  19. If A={1,3,5, B}a n d\ B={2,4} , then 4 in A b. {4}subA c. BsubA d. no...

    Text Solution

    |

  20. the symmetric difference of A and B is not equal to (A-B)nn(B-A) (...

    Text Solution

    |