Home
Class 12
MATHS
Given that water freezes below zero degr...

Given that water freezes below zero degree celsius.
Consider the following statements.
p : water froze this morning, q : This morning temperature was below `0^(@)C`.
Which of the following is correct ?

A

p and q are logically equivalent

B

p is the inverse of q

C

p is the converse of p

D

p is the contrapositive of q

Text Solution

Verified by Experts

The correct Answer is:
A
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

On increasing temperature, which of the following statement is correct?

Consider the above structures. Which of the following statements is correct

Consider the structures Which of the following statements are correct ?

Which of the following statements is/are true regarding water hyacinth ?

Represent the following statements using signs of Integers. Water freezes at 0^(@)c temperature.

Correct the following statements. Water boils at 100^(@)C under atmospheric pressure.

AAKASH SERIES-MATHEMATICAL REASONING -Practice Exercise
  1. Given that water freezes below zero degree celsius. Consider the fol...

    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

    |