Home
Class 11
MATHS
By giving an example, show that the foll...

By giving an example, show that the following statement is false. If `n` is an odd integer, then `n` is prime

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION

    RD SHARMA ENGLISH|Exercise All Questions|101 Videos

  • MEASUREMENT OF ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|56 Videos

Similar Questions

Explore conceptually related problems

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

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

By giving counter example show that following statement are false (a) p : Square of a real number is always integer (b) p : The equation x^2-9=0 does not have a root lying between 0 and 4

Check the validity of the following statement. If x and y are odd integers, then xy is an odd integer.

Which of the following statements about N_(2)O is false ?

Show that the following statement is true: The integer n is even if and only if n^2 is even

Write the negation of the following statement: All primes are odd.

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

If n is a positive odd integer, then int |x^n| dx=

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

RD SHARMA ENGLISH-MATHEMATICAL REASONING-All Questions
  1. Show that the statement: p : If\ x is a real number such that x^3+4x=0...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. By giving a counter example, show that the following statement is not ...

    Text Solution

    |

  18. Which of the following statements are true and which have are false? I...

    Text Solution

    |

  19. Which of the following statements are true and which are false? In e...

    Text Solution

    |

  20. Determine whether the argument used to check the validity of the fol...

    Text Solution

    |