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

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.

Text Solution

Verified by Experts

The correct Answer is:
true.
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|88 Videos
  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXEMPLAR PROBLEMS (OBJECTIVE TYPE QUESTIONS)|21 Videos
  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|18 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

Which of the following statements are true and which are false? s: If x and y are odd then xy is odd.

Examine whether the following statements are true or false : phi sub {x, y, z}

Using direct method prove that if x, y in N and x,y are odd then xy is also odd.

Prove that if x is odd , then x^(2) is also odd.

Examine whether the following statements are true or false : {x : x is the collection of all birds} sub {x : x is the collection of parrot}

Write the component statements of the following compound statements and check whether the compound statement is true or false: A line is straight and extends indefinitely in both directions.

Check whether the following pair of statements are negation of each other. Give reasons for your answer x + y = y + x is true for every real numbers x and y. There exists real numbers x and y for which x + y = y + x.

Rewrite each of the following statements in the form of conditional statements: The square of an odd number is odd.

Check whether the following pair of statements are negation of each other. Give reasons for your answer: (i) x+y=y+x is true for every real numbers x and y. (ii) There exists real number x and y for which x+y=y+x

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

KUMAR PRAKASHAN-MATHEMATICAL REASONING-TEXT BOOK ILLUSTRATIONS FOR PRACTICE WORK
  1. Write the contrapositive of the following statement: If you are born ...

    Text Solution

    |

  2. Write the contrapositive of the following statement: if a triangle i...

    Text Solution

    |

  3. Write the converse of the following statements: If a number n is eve...

    Text Solution

    |

  4. Write the converse of the following statements: If you a do all the e...

    Text Solution

    |

  5. Write the converse of the following statements: If two integers a and...

    Text Solution

    |

  6. For each of the following compound statements, first identify the corr...

    Text Solution

    |

  7. For each of the following compound statements, first identify the corr...

    Text Solution

    |

  8. Given below are two pairs of statements. Combine these two statement...

    Text Solution

    |

  9. Given below are two pairs of statements. Combine these two statement...

    Text Solution

    |

  10. Check whether the following statement is true or not: If x,y in Z a...

    Text Solution

    |

  11. Check whether the following statement is true or not: If x,y in Z a...

    Text Solution

    |

  12. Prove that sqrt( 7) is irrational.

    Text Solution

    |

  13. By Giving a counter example show that the following statement is false...

    Text Solution

    |

  14. Check whether''Or'' used in the following compound statement is exclus...

    Text Solution

    |

  15. Write the negation of the following statements: p: For every real nu...

    Text Solution

    |

  16. Write the negation of the following statements: q: There exists a ra...

    Text Solution

    |

  17. Write the negation of the following statements: r: All birds have wi...

    Text Solution

    |

  18. Write the negation of the following statements: s: All students stud...

    Text Solution

    |

  19. Using the words ''necessary and sufficient'' rewrite the statement ''T...

    Text Solution

    |

  20. For the given statements identify the necessary and sufficient conditi...

    Text Solution

    |