Home
Class 12
MATHS
The contrapositive statement of the stat...

The contrapositive statement of the statement "If x is prime number, then x is odd" is

A

If x is not a prime number, then x is not odd.

B

If x is a prime number, then x is not odd.

C

If x is not a prime number, then x is odd.

D

If x is not odd, then x is not a prime number.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL LOGIC

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
  • MATHEMATICAL LOGIC

    TARGET PUBLICATION|Exercise CRITICAL THINKING|34 Videos
  • LINEAR PROGRAMMING

    TARGET PUBLICATION|Exercise Evaluation Test|11 Videos
  • MATRICES

    TARGET PUBLICATION|Exercise EVALUATION TEST|13 Videos

Similar Questions

Explore conceptually related problems

Write the constrapositive of the following statements: If x is prime number then x is odd If two lines re parallel then they do not intersect in the same plane.x is even number implies that x is divisible by 4.

Write the contrapositive of the statement : "If n is a prime number, then n is even".

The contra-positive of the statement, "If x is a prime number and x divides ab then x divides a or x divides b", can be symbolically represented using logical connec- tives, on appropriately defined statements p, q, r, s, as

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

Negation of the statement if a number is prime then it is odd' is.

Write the contrapositive and converse of the following statements. (i) If x is a prime number, then x is odd. (ii) If the two lines are parallel, then they do not intersect in the same plane, (iii) Something is cold implies that it has low temperature. (iv) You cannot comprehend geometry if you do not know how to reason deductively. (v) x is an even number implies that x is divisible by 4.

The contrapositive of the statement ''if p, then q '', is

The contrapositive of the statement: "If a child concentrates then he learns" is

TARGET PUBLICATION-MATHEMATICAL LOGIC -COMPETITIVE THINKING
  1. Let p: A triangle is equilateral, q: A triangle is equiangular, then i...

    Text Solution

    |

  2. If it is raining, then I will not come. The contrapositive of this sta...

    Text Solution

    |

  3. The contrapositive statement of the statement "If x is prime number, t...

    Text Solution

    |

  4. The contrapositive of the statement: "If the weather is fine then my f...

    Text Solution

    |

  5. Write the converse and contrapositive of the statement " If x ...

    Text Solution

    |

  6. The logically equivalent statement of p to q is

    Text Solution

    |

  7. ~ p ^^ q is logically equivalent to

    Text Solution

    |

  8. The statement pattern (~p ^^ q) is logically equivalent to

    Text Solution

    |

  9. (p ^^ q) vv (~q ^^ p) -=

    Text Solution

    |

  10. The Boolean expression ~(pvvq)vv(~p^^q) is equivalent to (1) ~p (2) p ...

    Text Solution

    |

  11. The Boolean Expression (p ^^ ~q) vv q vv (~p ^^ q)is equivalent to:

    Text Solution

    |

  12. The statement p to(q to p) is equivalent to

    Text Solution

    |

  13. The statement p to (~q) is equivalent to

    Text Solution

    |

  14. Which of the following is not true for any two statements p and q?

    Text Solution

    |

  15. The statement pattern p^^(~p^^q)is

    Text Solution

    |

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

    Text Solution

    |

  17. (p ^^ ~q) ^^ (~p ^^ q) is a

    Text Solution

    |

  18. Which of the following statements is a tautology?

    Text Solution

    |

  19. The only statement among the following i.e. a tautology is

    Text Solution

    |

  20. Which of the following statement pattern is a tautology?

    Text Solution

    |