Home
Class 11
MATHS
Determine the contrapositive of each of ...

Determine the contrapositive of each of the following statements: (i)If Mohan is a poet, then he is poor. (ii)If she works, she will earn money. (iii)It never rains when it is cold.

Text Solution

Verified by Experts

(i) If Mohan is not poor, then he is not a poet.
(ii) If she will not earn money sh will not work.
(ii)If it rains , then it is not cold.
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION

    RD SHARMA|Exercise Solved Examples And Exercises|97 Videos

  • MEASUREMENT OF ANGLES

    RD SHARMA|Exercise Solved Examples And Exercises|56 Videos

Similar Questions

Explore conceptually related problems

Determine the contrapositive of each of the following statements: If x is less than zero then x is not positive If he has courage he will win.It is necessary to be strong in order to be a sailor.

Determine the contrapositive of each of the following statements: Only if he does not tire will he win If x is an integer and x^(2) is odd, then x is odd Only if max studies will he pass the test.

State the converse and contrapositive of each of the following statements: (i) p: A positive integer is prime only if it has no divisors other than 1 and itself.(ii) q: I go to a beach whenever it is a sunny day.(iii) r: If it is hot outside,then you feel thirsty.

Write each of the following statements in the form if p then q: It never rains when it is cold.

Write the contrapositive of the following statement (i) If a quandrilateral is rectangle then it is a parallelogram (ii) If a number is even , then it is divisble by 2 (iii) If end digit of a number is 0 , then it is divisble by 10

Write the negation of each of the statement: (i) Ravish is tall, therefore he is slim (ii) If it is raining, then the game is cancelled.

Write contrapositive of the following statement (i) If an Indian is working in America then he was a working visa (ii) If a number is divisible by 10 then it is divisiblw by 5 (iii) If a number p is prime number , then sqrt5 is irrational number

Write the opposite of each of the following: (i) Increase in population (i) Depositing money in a bank (iii) Earning money Norht

Find the component statements of the following compound statements.(i) The sky is blue and the grass is green.(ii) It is raining and it is cold.(iii) All rational numbers are real and all real numbers are complex.(iv) 0 is a positive number or a negative number.

RD SHARMA-MATHEMATICAL REASONING-Solved Examples And Exercises
  1. Rewrite the following statement in the form p if only ifq : r : For...

    Text Solution

    |

  2. Rewrite the following statement in the form p if only ifq : If a tum...

    Text Solution

    |

  3. Determine the contrapositive of each of the following statements: (i)I...

    Text Solution

    |

  4. Determine the contrapositive of each of the following statements: (i)I...

    Text Solution

    |

  5. Determine the contrapositive of each of the following statements: (i)O...

    Text Solution

    |

  6. Determine the contrapositive of each of the following statements: (i)I...

    Text Solution

    |

  7. Given below are two statements: p : 80 is a multiple of q : 80 is a m...

    Text Solution

    |

  8. If p\ a n d\ q are two statement given by: p : 25 is multiple of 5. q ...

    Text Solution

    |

  9. Given below are two statement: p : 25 is a multiple of 5. q : 25 is a ...

    Text Solution

    |

  10. Check the validity of the following statement: “Square of an integer i...

    Text Solution

    |

  11. Check whether the following statement is true or not: If x\ a n d\ y a...

    Text Solution

    |

  12. Check whether the following statement is true and false by proving its...

    Text Solution

    |

  13. Show that the statement: p : If\ x is a real number such that x^3+4x=0...

    Text Solution

    |

  14. Show that he following statement is true by the method of contrapos...

    Text Solution

    |

  15. Using the words necessary and sufficient rewrite the statement The int...

    Text Solution

    |

  16. Verify by the method of contradiction that sqrt(7) is irrational.

    Text Solution

    |

  17. Check the validity of the statement given below by contradiction metho...

    Text Solution

    |

  18. Evaluate the following limit: (lim)(x->0)(x^2+1-cos x)/(xsinx)

    Text Solution

    |

  19. By giving an example, show that the following statement is false. If n...

    Text Solution

    |

  20. Show that the statement For any real numbers a\ a n d\ b ,\ a^2=b^2 im...

    Text Solution

    |