Home
Class 12
MATHS
The contrapositive of the statement "if ...

The contrapositive of the statement "if `2^(2) = 5`, then I get first class' is

A

If I do not get a first class, then `2^(2) = 5`

B

If I do not get a first class, then `2^(2) != 5`

C

If I get a first class, then `2^(2) = 5`

D

If I get a first class, then `2^(3) = 5`

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

The contrapositive of the statement "if I am not feeling well, then I will go to the doctor" is

The contrapositive of the statement "I go to school if it does not rain" is

The contrapositive of "if x^(2) = 1 then x = 1 " is

The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times" is

The contrapositive of the statement, 'If x is a prime number and x divides ab then x divides a or x divides b", can be symnolically represented using logical connectives, on appropriately defined statements p, q, r, s as

Write the contrapositive of the following statement: (i) If a number is not divisible by 3, it is not divisible by 9. (ii) If you are not a citizen of India, then you were not born in India. (iii) If a triangle is not isosceles, then it is not equilateral.

Write the contrapositive and converse of the following statements. If the two lines are parallel, then they do not intersect in the same plane.

Write the contrapositive and converse of the following statements. Something is cold implies that it has low temperature.

Show that the following statement is true by the method of contrapositive. p: If x is an integer and x^2 is even, then x is also even.

Write the contrapositive and converse of the following statements. If x is a prime number, then x is odd.

AAKASH SERIES-MATHEMATICAL REASONING -Practice Exercise
  1. The contrapositive of the statement "if 2^(2) = 5, then I get first cl...

    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

    |