Home
Class 12
MATHS
Statement 1 : (A hArr ~B)) a tautology t...

Statement 1 : `(A hArr ~B))` a tautology to `A hArr B`
Statement 2: `A vv (~A ^^ ~B))` a tautology

A

Statement 1 and statement 2 are both false

B

Statement 1 and staement 2 are both true

C

statement 1 is true and statement 2 is false

D

statement 1 is false and statement 2 is true

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    AAKASH SERIES|Exercise Practice Exercise|21 Videos

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise EXERCISE|28 Videos

Similar Questions

Explore conceptually related problems

Statement -1 : ~(P harr ~q) is equivalent to p harr q Statement - 2 : ~(P harr ~q) is a tautology.

Let p and q be any two propositons Statement 1 : (p rarr q) harr q vv ~p is a tautology Statement 2 : ~(~p ^^ q) ^^ (p vv q) harr p is fallacy

Statement 1 : The statement A rarr (A rarr B) . Is equivalent to A rarr (A vv B) statement 2 : The statement ~[(A ^^ B) rarr (~A vv B)] is a tautology

Observe the following statements Statement - I : p vv ~(p ^^ q) is a tautology Statement - II : A statement pattern is called a tautology, if it is always true, whatever may be the true value of constitute statements.

The statement ~(p ^^ q) vv q

Which of the following statement is a tautology

The statement ~(p harr ~q) is

Let A and B be two symmetric matrices of order 3. Statement: 1: A(BA) and (AB)A are symmetric matrices. Statement: AB is symmetric if matrix multiplication of A with B is commutative.

Statement - I : (p ^^ ~ q) ^^ (~ p ^^ q) is a fallacy. Statement - II : (p rarr q) harr (~q rarr ~ p) is a tautology.

AAKASH SERIES-MATHEMATICAL REASONING -Practice Exercise
  1. Statement 1 : (A hArr ~B)) a tautology to A hArr B Statement 2: A vv...

    Text Solution

    |

  2. Which of the following is a proposition

    Text Solution

    |

  3. Let p and q be two proposition given by p : I play cricket during th...

    Text Solution

    |

  4. If x = 5 and y = -2, then x - 2y = 9. The contrapositive of this propo...

    Text Solution

    |

  5. Consider the proposition : "If we control population growth, then we p...

    Text Solution

    |

  6. Consider the following propositions p : I have the raincoat. q : I...

    Text Solution

    |

  7. p rarr q is logically equivalent to

    Text Solution

    |

  8. The contrapositive of p rarr (~q rarr ~r) is

    Text Solution

    |

  9. The negation of p ^^ ~(q ^^ r) is

    Text Solution

    |

  10. The contra positive of (~p ^^ q) rarr ~r is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Which of the following is always true ?

    Text Solution

    |

  14. Which of the following propositions is a tautology ?

    Text Solution

    |

  15. Which of the following proposition is a tautology ?

    Text Solution

    |

  16. Observe the following statements I : The dual of [ ~p ^^ q)] vv [ p...

    Text Solution

    |

  17. Match the duals of t he statements in List - I : {:(,"List - I",,"Li...

    Text Solution

    |

  18. Match the duals of the statements in list - I : {:(,"List - I",,"Lis...

    Text Solution

    |

  19. Observe the following statements : Statements - I : (p vv q) ^^ (~p ...

    Text Solution

    |

  20. Observe the following statements Statement - I : p vv ~(p ^^ q) is a...

    Text Solution

    |

  21. Consider the following two statements P :if 7 is an odd number, then...

    Text Solution

    |