Home
Class 11
MATHS
Check whether the following statement is...

Check whether the following statement is true or not: If `x\ a n d\ y` are odd integer, shten `x y` is an odd integer.

Text Solution

Verified by Experts

The given statement is TRUE statement and is valid
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

Check whether the following statement are true or not: p: If x and y are odd integers, then x+y is an even integer.

Check whether the following statement is true or not.If x ,y in Z are such that x and y are odd,then xy is odd

Check whether the following statement are true or not: p: If x,y are integers such that xy is even then at least one of x and y is an even integer.

Check whether the following statement is true or false by the method of contrapositive : P : If x , y is an integer such that xy is odd, then both x and y are odd

State whether the following statements are True or False : All prime numbers are odd.

Check whether the following statement is true and false by proving its contrapositive if x,y are integers such that xy is odd then both x and y are odd integers.

Check whether the following statement is true of false by proving its contra positive.If xy in Z such that xy is odd,then both x and y are odd

By giving a counter example, show that the following statement is false. "If n is an odd positive integer, then n is prime."

Show that the following statement is true by the method of contrapositive p: if x is an integer and x^(2) is odd then x is also odd.

RD SHARMA-MATHEMATICAL REASONING-Solved Examples And Exercises
  1. Given below are two statement: p : 25 is a multiple of 5. q : 25 is a ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Check the validity of the following statement: p : 100 is a multiple o...

    Text Solution

    |

  14. Check the validity of the following statement: r : 60 is a multiple of...

    Text Solution

    |

  15. Check the validity of the following statement: q : 125 is a multiple o...

    Text Solution

    |

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

    Text Solution

    |

  17. Check whether the following statement is true or not: p : If x , y are...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Show that the following statement is true: The integer n is even if an...

    Text Solution

    |