Home
Class 11
MATHS
In a group of 50 people, 35 speak Hindi,...

In a group of 50 people, 35 speak Hindi, 25 speak both English and Hindi and all the people speak at least one of the two languages. How many people speak only English and not Hindi? How many people speak English?

Text Solution

AI Generated Solution

To solve the problem step by step, we will use set theory concepts. ### Step 1: Define the sets Let: - \( A \) = the set of people who speak English - \( B \) = the set of people who speak Hindi ### Step 2: Identify the given values ...
Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    RD SHARMA ENGLISH|Exercise All Questions|130 Videos
  • SINE AND COSINE FORMULAE AND THEIR APPLICATIONS

    RD SHARMA ENGLISH|Exercise All Questions|119 Videos

Similar Questions

Explore conceptually related problems

In a group of 500 people, 350 speak Hindi and 300 speak English. It is given that each person speaks at least one language. (i) How many people can speak both Hindi and English? (ii) How many people can speak Hindi only? (iii) How many people can speak English only?

In a group of 70 people, 48 speak Tamil, 36 speak English and all the people speak at least one language. Find How many speak both the languages ?

In a group of 70 people, 48 speak Tamil, 36 speak English and all the people speak at least one language. Find : How many speak only Tamil ?

In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How many speak at least one of these two languages?

In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English?

In a group of400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English?

In a group of 50 persons, 40 speak Hindi and 25 speak English and Hindi both. Find how many persons speak only English ? Also find how many persons speak English ?

In a group of 400 persons 250 can speak Hindi and 200 can speak English. Each person speak atleast one language. Find how many persons can speak both languages ?

In a group of 800 people, 550 can speak Hindi and 450 can speak English. How many can speak both Hindi and English?

In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many people like both coffee and tea?

RD SHARMA ENGLISH-SETS-All Questions
  1. For any two sets A and B prove the following: A-B=ADelta(AnnB)dot

    Text Solution

    |

  2. In a class of 35 students, 24 like to play cricket and 16 like to p...

    Text Solution

    |

  3. In a group of 50 people, 35 speak Hindi, 25 speak both English and ...

    Text Solution

    |

  4. Out of 500 car owners investigated, 400 owned car A and 200 owned c...

    Text Solution

    |

  5. A market research group conducted a survey of 2000 consumers and re...

    Text Solution

    |

  6. A survey shows that 63% of the Americans like cheese 4 whereas 76% lik...

    Text Solution

    |

  7. A college warded 38 medals in football, 15 in basketball and 20 in ...

    Text Solution

    |

  8. If A and B are two sets such that n(AuuB)=50 ,\ n(A)=20\ a n d\ n(B)=3...

    Text Solution

    |

  9. If X and Y are two sets such that X has 40 elements, X uuY has 60 e...

    Text Solution

    |

  10. In a school there are 20 teachers who teach mathematics or physics....

    Text Solution

    |

  11. In a group of 70 people, 37 like coffee, 52 like tea and each perso...

    Text Solution

    |

  12. Let A and B be two sets such tat : n(A)=20 ,\ n(AuuB)=42\ a n d\ n(Ann...

    Text Solution

    |

  13. Let A and B be two sets such tat : n(A)=20 ,\ n(AuuB)=42\ a n d\ n(Ann...

    Text Solution

    |

  14. Let A and B be two sets such tat : n(A)=20 ,\ n(AuuB)=42\ a n d\ n(Ann...

    Text Solution

    |

  15. A survey shows that 76% of the Indians like oranges, whereas 62%like ...

    Text Solution

    |

  16. In a group of 950 persons, 750 can speak Hindi and 460 can speak En...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |