Home
Class 11
MATHS
Check the validity of the following stat...

Check the validity of the following statement: `r :` 60 is a multiple of 3 or 5.

Text Solution

Verified by Experts

r: 60 is a multiple of 3 or 5.
We know that 60 is a multiple of 3 as well as 5.
So, the given statement is true. Hence, the statement is true.
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 the validity of the following statement: p:100 is a multiple of 4 and 5.

Check the validity of the following statement (a) p : 77 is a multiple of 11 or 7 (b) q : If an integer x is multiple of 20 , then it is multiple of 10 (c ) For the given statement, identify the necessary and sufficient condition r : If numerator of a ratio is smaller than denomenator then the ratio is in proper fraction

Check the validity of the following statement: q:125 is a multiple of 5 and 7.

Check the validity of the following statement: Square of an integer is positive or negative

Check validity of the following statement. (i) p : 125 is divisible by 5 and 7. (ii) q: 131 is a multiple of 3 or 11.

Find the component statements of the following compound statement: 25 is a multiple of 5 and 8.

Determine whether the argument used to check the validity of the following statement is correct. p : If x^(2) is irrational , then x is rational. The statement is true because:- Number x^2=pi^2 is irrational therefore x=pi irrational.

RD SHARMA-MATHEMATICAL REASONING-Solved Examples And Exercises
  1. Check whether the following statement is true and false by proving its...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |