Home
Class 11
MATHS
Given below are two statements: p : 80 i...

Given below are two statements: `p :` 80 is a multiple of `q :` 80 is a multiple of4. Write the compound statement using connective "AND" and check its validity.

Text Solution

Verified by Experts

The compound statement is. "80 is multiple of q and .4
We know thạt 80 is a multiple of 4
So, (p) and (q) are true statement.
Hence, the compound statement (p) and (q) is a valid statement.
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

Given below are two statement: p : 25 is a multiple of 5. q : 25 is a multiple of 8. Write the compound statement using connective "OR" and check its validity.

If p\ a n d\ q are two statement given by: p : 25 is multiple of 5. q :\ 25 is a multiple of 8. Write the compound statement using connective "AND" and check its validity.

p : 87 is a multiple of 3 q : 87 is a multiple of 29 Write the compound statement by using connective "OR" from above statement and check its validity

Given below are two statements p:25 is a multiple of 5.q:25 is a multiple of 8. Write the compound statements connecting these two statements with 'And and Or.In both cases check the validity of the compound statement.

Two statements are given : p: 30 is a multiple of 5. q: 30 is a multiple of 3. Conncet these two statements with word 'and' and check the validity of the compound statement.

Given below are two statements p : Cube of an even number is even q : Cube of an odd number is odd Write the compound statement connecting these two statement with "and" and checks its validity

5+7=10 and 4+3=7 .Write the statement using the appropriate connective

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

Check the validity of the following statement: p:100 is a multiple of 4 and 5.

RD SHARMA-MATHEMATICAL REASONING-Solved Examples And Exercises
  1. Determine the contrapositive of each of the following statements: (i)O...

    Text Solution

    |

  2. Determine the contrapositive of each of the following statements: (i)I...

    Text Solution

    |

  3. Given below are two statements: p : 80 is a multiple of q : 80 is a m...

    Text Solution

    |

  4. If p\ a n d\ q are two statement given by: p : 25 is multiple of 5. q ...

    Text Solution

    |

  5. Given below are two statement: p : 25 is a multiple of 5. q : 25 is a ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |