Home
Class 12
MATHS
which of the following is a contradictio...

which of the following is a contradiction ?

A

` p vv q`

B

` P ^^ q`

C

` p vv ~ p`

D

` p ^^ ~ p `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA|Exercise Exercise|40 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

Which one of the following is not a contradiction? [sim p^^(p vv sim q)]^^q b.(sim p^^q)vv p c.[(p rarr q)rarr]^^sim p d.(sim q rarr sim p)harr(p rarr q)

As we move along the period, the atomic radii decreases. Which of the following group contradicts the above statement ?

Which of the following statement is contradiction?

Statement It has been reported in a recent research report that taller people are found to be happier than those who are relatively shorter. Which of the following contradicts the above finding?

A very large number of technically qualified young Indians are coming out of colleges every year, though there are not enough opportunities for them to get gainful employment. Which of the following contradicts the views expressed in the above statement?

If p is any statement,t and c are a tautology and a contradiction respectively then which of the following is not correct- (a) p^^t=p(b)p^^c=c(c)p vv t=c(d)p vv c=p

Which of the following statement is a contradiction: (1)(sim p vv sim q)vv(p vv sim q),(2)(p rarr q)vv(p^^sim q),(3)(sim p^^q)^^(sim q)

29.If pis any statement,t is a tautology and c is a contradiction then which of the following is not correct-

OBJECTIVE RD SHARMA-MATHEMATICAL REASONING -Chapter Test
  1. Which of the following sentences is a statement ?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. which of the following is a contradiction ?

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Which of the following pairs are logically equivalent ?

    Text Solution

    |

  8. Which of the following is contingency ?

    Text Solution

    |

  9. The statement p vv q is

    Text Solution

    |

  10. Which of the following is a tautology ?

    Text Solution

    |

  11. The statement p Rightarrow p vv q

    Text Solution

    |

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

    Text Solution

    |

  13. If truth values of p vv q is true ,then truth value of ~ p ^^ q is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. ~ [ ~ p ^^ ( p harr q)] -=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Which of the following connectives satisfy commutatiive law ?

    Text Solution

    |