Home
Class 12
MATHS
Consider the following propositions : ...

Consider the following propositions :
P : It rains ,q : Then street gets flooded.
the propostion " If it does not rain, then the street not get flooded," is represented by

A

` p to ~ q`

B

` ~ p to q `

C

`p harrq`

D

` ~ p to ~ q`

Text Solution

Verified by Experts

The correct Answer is:
D
we have,
~ p : It does not rain , ~ o : The street does not get flooded.
` ~ p to ~ q` : If it does not rain, then the street does not get flooded.
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|4 Videos

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA|Exercise Exercise|40 Videos

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA|Exercise Solved MCQs|5 Videos

  • MATHEMATICAL INDUCTION

    OBJECTIVE RD SHARMA|Exercise Exercise|30 Videos

  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

Consider the following propositions : P : I take medicine , q : I can sleep Then , the compound statement ~ p to ~ q means

Consider the following statements P : I have the raincoat q : I can walk in the rain. The propositions " If have the raincoat , then I can walk in the rain " is represented by

Which of the following is true for the propositions p and q ?

Consider the following statements : p: It rains today q: I go to school r: I Shall meet any friends s: I shall go for a movie Then which of the following proposition represents 'If it does not rain or if I do not go to school, then I shall meet my friend and go for a movie .'?

Consider the following propositions : p : To become on airfore officer one should be a graduate. q: one should have good health propositions:- To become an airfore officer one should be a graduate and should have good health " is represented by

Which of the following does not cause acid rain?

Write each of the following statements in the form if p then q: It never rains when it is cold.

p: clouds in the sky and q:it is raining. There are clouds in the sky and it is not raining. The symbolic form is

Write each of the following statements in the form 'if p, then q' : The crops will be destroyed if there is a flood.

OBJECTIVE RD SHARMA-MATHEMATICAL REASONING -Section I - Solved Mcqs
  1. Consider the following statements P : I have the raincoat q : I can ...

    Text Solution

    |

  2. Which of the following is true for the propositions p and q ?

    Text Solution

    |

  3. Consider the following propositions : P : It rains ,q : Then stree...

    Text Solution

    |

  4. The logically equivalent proposition of p harr q is

    Text Solution

    |

  5. ~ ( p vv q) vv ( ~ p ^^ q) is logically equivalent to

    Text Solution

    |

  6. If the inverse of implication p to q is defined as ~ p to ~q , then...

    Text Solution

    |

  7. Logical equivalent propostion to the proposition ~ ( p ^^ q) is

    Text Solution

    |

  8. Which of the following is logically equivalent to ( p^q) ?

    Text Solution

    |

  9. Let p and q be two propostions. Then , the contrapositive of the impli...

    Text Solution

    |

  10. (~pvv~q) is logically equivalent to

    Text Solution

    |

  11. The logically equivalent proposition of p harr q is

    Text Solution

    |

  12. If p to q ( q vv r) is false, then the truth values of p,q,r are resp...

    Text Solution

    |

  13. The compound statement p to ( ~ p ^^ q) is false, then the truth va...

    Text Solution

    |

  14. The false statement in the following is

    Text Solution

    |

  15. Which of the following is not a proposition ?

    Text Solution

    |

  16. (p ^^ ~q) ^^ (~p vv q) is

    Text Solution

    |

  17. The proposition (p to ~p) ^^ (~p to p) is a

    Text Solution

    |

  18. Which of the following statements is a tautology?

    Text Solution

    |

  19. Negation of the statement p to ( q ^^ r) is

    Text Solution

    |

  20. Negation of the statement (p ^^ r) -> (r vv q) is-

    Text Solution

    |