Home
Class 12
MATHS
If p, q are true and r is false statemen...

If p, q are true and r is false statement then which of the following is true statement?

A

(p`^^`q) `vv` r is F

B

(p`^^`q) `rarr` r is T

C

(p`vv`q) `^^` (p`vv`r) is T

D

(p`rarr`q) `harr`(p`rarr` r) is T

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    DISHA PUBLICATION|Exercise Exercise-1 : Concept Builder|60 Videos
  • LINEAR INEQUALITIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos
  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 2: Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

If p and q are true and r and s are false statements, then which of the following is true?

If p is true and q is false, then which of the following statements is NOT true ?

If ptoq is true, and p is false, then q is

If p and q are true statements in logic, which of the following statement pattern is true?

State which of the following statements are true and false

DISHA PUBLICATION-MATHEMATICAL REASONING-Exercise-2 : Concept Applicator
  1. Consider the statement p: 'New Delhi is a city'. Which of the followin...

    Text Solution

    |

  2. Write the negation of statement sqrt(2) is not a complex number.

    Text Solution

    |

  3. Which of the following statement is a contradiction: (1)(~p vv ~q) v...

    Text Solution

    |

  4. If p,q and r simple propositions with truth values T, F, T, then the t...

    Text Solution

    |

  5. Consider the following Statements p : A tumbler is half empty. A tum...

    Text Solution

    |

  6. The contrapositive of (p vv q)to r is

    Text Solution

    |

  7. If p to (~ p vvq) is false, the truth values of p and q are , respecti...

    Text Solution

    |

  8. ~(~p^^q), "is equal to"

    Text Solution

    |

  9. The contrapositive of inverse of p to ~ q is

    Text Solution

    |

  10. Identify the False statements

    Text Solution

    |

  11. If p rArr (q vee r) is false, then the truth values of p, q, r ar...

    Text Solution

    |

  12. Let p: Kiran passed the examination, q: Kiran is sad The symbolic ...

    Text Solution

    |

  13. If p denotes "It is cold" and q denote "It rains" , write the statemen...

    Text Solution

    |

  14. Which of the following is true?

    Text Solution

    |

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

    Text Solution

    |

  16. Consider the following statements - p : 4 is an even prime number ...

    Text Solution

    |

  17. If p, q are true and r is false statement then which of the following ...

    Text Solution

    |

  18. Which of the following statement is a contradiction: (1)(~p vv ~q) v...

    Text Solution

    |

  19. If ~q vv pis F, then which of the following is correct?

    Text Solution

    |

  20. If p and q are true statement and r, s are false statement, then the t...

    Text Solution

    |