Home
Class 12
MATHS
use Venn-diagram to find examine the val...

use Venn-diagram to find examine the validity of the following arguments :
` S_(1)` : All scholars are absent minded.
`S_(2)` : john is a scholar .
S : John is absent minded.
(ii) ` S_(1)` : All scholars ar absent-minded.
(ii) ` S_(1)` : All scholars are absent- minded.
` S_(2) ` : John is not absent minded.
S: john is not absent minded.

Text Solution

AI Generated Solution

To examine the validity of the given arguments using a Venn diagram, we will follow these steps: ### Step 1: Define the Sets - Let Set A represent all absent-minded people. - Let Set B represent all scholars. ### Step 2: Analyze the First Argument - **Statement S1**: All scholars are absent-minded. This means that Set B (scholars) is a subset of Set A (absent-minded people). In Venn diagram terms, all elements of Set B lie within Set A. ...
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA ENGLISH|Exercise illusration 1|1 Videos
  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA ENGLISH|Exercise illusration 3|1 Videos
  • MATHEMATICAL INDUCTION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|30 Videos
  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

Anus is absent in

Anus is absent in

Anus is absent in

DNA is absent in

Roots are absent in

Flagella are absent in

Heart is absent in

RNA is absent in :

Enzymes are absent in

Centrum is absent in

OBJECTIVE RD SHARMA ENGLISH-MATHEMATICAL REASONING -Chapter Test
  1. use Venn-diagram to find examine the validity of the following argumen...

    Text Solution

    |

  2. Which of the following sentences is a statement ?

    Text Solution

    |

  3. The property ~ ( p ^^ q) -= ~ p vv ~ q is called

    Text Solution

    |

  4. When does the inverse of the statement ~ p Rightarrow q results in T...

    Text Solution

    |

  5. which of the following is a contradiction ?

    Text Solution

    |

  6. In which of the following is equivalent cases, p Rightarrow q is fal...

    Text Solution

    |

  7. Which of the following is equivalent to p Rightarrow q ?

    Text Solution

    |

  8. Which of the following pairs are logically equivalent ?

    Text Solution

    |

  9. Which of the following is Contingency?

    Text Solution

    |

  10. The statement p vv q is

    Text Solution

    |

  11. Which of the following is a tautology ?

    Text Solution

    |

  12. The statement p Rightarrow p vv q

    Text Solution

    |

  13. what are the truth values of ( ~ p Rightarrow ~ q) and ~( ~ p Rightar...

    Text Solution

    |

  14. If truth values of p vv q is ture,then truth value of ~ p ^^ q is

    Text Solution

    |

  15. If p and q are two statements, then p vv ~ ( p Rightarrow ~ q) is ...

    Text Solution

    |

  16. The contrapositive of statement ~ p Rightarrow ( p ^^ ~ q) is

    Text Solution

    |

  17. ~ [ ~ p ^^ ( p harr q)] -= is equivalent to

    Text Solution

    |

  18. If a compound statement r is contradiction , then the truth value of ...

    Text Solution

    |

  19. When does the value of the statement (p ^^ r) harr ( r ^^ q) become...

    Text Solution

    |

  20. If p always speaks against q, then p Rightarrow p vv ~ q is

    Text Solution

    |

  21. Which of the following connectives satisfy commutatiive law ?

    Text Solution

    |