Home
Class 11
MATHS
State the converse and contrapositive of...

State the converse and contrapositive of each of the following statements:
p: A positive integer is prime only if it has no divisors other than 1 and itself.

Text Solution

Verified by Experts

The correct Answer is:
it has divisor 1 and other numbers.
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|18 Videos

  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise TEXT BOOK ILLUSTRATIONS FOR PRACTICE WORK|53 Videos

  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise EXERCISE 14.5|9 Videos

  • LIMITS AND DERIVATIVES

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for practice work|35 Videos

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Sequence and Series (Fill in the blanks )|48 Videos

Similar Questions

Explore conceptually related problems

State the converse and contrapositive of each of the following statements: r: If it is hot outside, then you feel thirsty.

State the converse and contrapositive of each of the following statements: q:I go to a beach whenever it is a sunny day.

Give converse and contrapositive of following statement: If x is negative x^(2) is positive.

Give converse and contrapositive of following statement: If x and y are negative x.y is positive.

Write down the contrapositive of the following statements.: If x and y are negative integers, then x.y is positive.

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

Give converse and contrapositive of following statement: If (x-a) is the factor of polynomial p(x) then p(a)=0 .

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

State whether each of the following statements is true or false : A point has one dimension.

KUMAR PRAKASHAN-MATHEMATICAL REASONING-MISCELLANEOUS EXERCISE : 14
  1. Write the negation of the followng statements: p: For every positive...

    Text Solution

    |

  2. Write the negation of the following statements: q: All cats scratch.

    Text Solution

    |

  3. Write the negation of the following statements: r: For every real num...

    Text Solution

    |

  4. Write the negation of the following statements: s: There exists a num...

    Text Solution

    |

  5. State the converse and contrapositive of each of the following stateme...

    Text Solution

    |

  6. State the converse and contrapositive of each of the following stateme...

    Text Solution

    |

  7. State the converse and contrapositive of each of the following stateme...

    Text Solution

    |

  8. Write each of the statement in the form if p, then q: p: It is neces...

    Text Solution

    |

  9. Write each of the statement in the form if p, then q: q: There is tra...

    Text Solution

    |

  10. Write each of the statement in the form if p, then q: r: You can acc...

    Text Solution

    |

  11. Rewrite each of the following statements in the form p if and only if ...

    Text Solution

    |

  12. Rewrite each of the following statements in the form p if and only if ...

    Text Solution

    |

  13. Rewrite each of the following statements in the form p if and only if ...

    Text Solution

    |

  14. Given below we two statements: p: 25 is a multiple of 5. q: 25 is ...

    Text Solution

    |

  15. Check the validity of the statements given below by the method given a...

    Text Solution

    |

  16. Check the validity of the statements given below by the method given a...

    Text Solution

    |

  17. Write the following statement in five different ways, conveying the sa...

    Text Solution

    |