Home
Class 11
MATHS
Find the compoenemts of the following ...

Find the compoenemts of the following compound statements.
(i) Numbre 7 is prime and odd.
(ii) Chennai is in India and is the capital of Tamil Nadu.
(iii) The number is 100 is divisible by 3, 11 and 5
(iv) Chandigarh is the capital of Haryana and UP.
(v) `sqrt(7)` is a rational number or an irrational number.
(vi) 0 is less than every positive integer and every negative integer .
(vii) Plants use sunlight, water and carbon dioxide for photosynthesis.
(viii) Two lines in a plane either intersect at one point or they are parallel .
(ix) A rectangle is a quadrilater or a 5 sided polygon.

Text Solution

Verified by Experts

The correct Answer is:
N/a

(i) p: Numbre 7 is prime.
q: Number 7 is odd.
(ii) P: Chennai is in India.
q: Chennai is capital of Tamil Nadu.
(iii) q : 100 is divisible by 11.
r: 100 is divisible bby 5.
(iv) p : Chandigarh is capital of Haryana.
q: Chandigrah is capital of UP.
(v) p: `sqrt(7)` is a rational number
q: `sqrt(7)` is a rational number.
(iv) p: 0 is less than every positive integer.
q: 0 is less than every negative integre.
(vii) p: Plants use sunlight for photosysthesis.
q: Plants use water for photosynthesis.
r: Plants suse cabron dioxide for photosysthesis.
(viii) p: Two lines in a plane intersect at one point .
q: Two lines in a plane are parallel.
(ix) p: A rectangli, is a quadrilaterl.
q: A rectangle is a 5-sided polygon.
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NCERT EXEMPLAR|Exercise OBJECTIVE TYPE QUESTIONS|21 Videos
  • LINEAR INEQUALITIES

    NCERT EXEMPLAR|Exercise Objective Type Questions|14 Videos
  • PERMUTATIONS AND COMBINATIONS

    NCERT EXEMPLAR|Exercise Matching The Columns|5 Videos

Similar Questions

Explore conceptually related problems

Find the component statements of the following compound statements and check whether they are true or false.(i) Number 3 is prime or it is odd.(ii) All integers are positive or negative.(iii) 100 is divisible by 3,11 and 5.

Find the component statements of the following statement and check whether they are true or false. 100 is divisible by 3,5 and 11.

Find the component statements of the following and check whether they are true or not : Chandigarh is the capital of Haryana and U.P.

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 statements and check whether they are true or false. (i) sqrt(5) is a rational number or an irrational number. (ii) Chandigarh is the capital of hartyana and punjab. (iii) a multiple of 2,4 and 6 is 16. (iv) a sequare is a quadrilateral and all 4 sides of it are equal. (v) all integers are positive or negative.

Find which of the following numbers are primes : (i) 87 , (ii) 89, (iii) 63, (iv) 91

Which of the following sentences are statement ? (i) Cow is the only animal which gives milk (ii) Chennai is the capital of Tamilnadu (iii) Taste of mango is better than orange (iv) The product of two intergers p and q is greater than zero

Write contrapositive of the following statement (i) If an Indian is working in America then he was a working visa (ii) If a number is divisible by 10 then it is divisiblw by 5 (iii) If a number p is prime number , then sqrt5 is irrational number

Find the cube of each of the following (i) (-7) (ii) 1 2/3 (iii) 2.5 (iv) 0.05

NCERT EXEMPLAR-MATHEMATICAL REASONING -OBJECTIVE TYPE QUESTIONS
  1. Find the compoenemts of the following compound statements. (i) ...

    Text Solution

    |

  2. Which of the following is a statement ?

    Text Solution

    |

  3. Which of the following is not a statement.

    Text Solution

    |

  4. The connective in the statement 2 + 7 gt 9 or 2+ 7 lt 9 is

    Text Solution

    |

  5. The connective in the statement ''Earth revolves round the Sun and Mo...

    Text Solution

    |

  6. The negative of the statement ''A circle is an ellispe'' is

    Text Solution

    |

  7. The negative of the statement ''7 is greater than 8'' is

    Text Solution

    |

  8. The negation of the statement ''72 is divisble by 2 and 3'' is

    Text Solution

    |

  9. The negation of the statement ''Plants take in CO(2) and given out...

    Text Solution

    |

  10. The negative of the statement ''Rajesh or Rajni lived in Bengaluru'' ...

    Text Solution

    |

  11. The negation of the statement ''101 is not mulitple of 3'' is

    Text Solution

    |

  12. The contrapositive of the statement ''If 7 is greater than 5, then ...

    Text Solution

    |

  13. The converse of the statement ''If x gt y, then x + a gt y + a'' is

    Text Solution

    |

  14. The converse of the statement ''If sum is not shining, then sky is ...

    Text Solution

    |

  15. The contrapositive of the statement ''if p, then q '', is

    Text Solution

    |

  16. The statement ''<b>If x^(2) is not even, then x is not even</b>'' is ...

    Text Solution

    |

  17. The contrapositive of statement <b><b>'If Chandigarh is capital of P...

    Text Solution

    |

  18. Which of the following is the conditional p to q?

    Text Solution

    |

  19. The negative of the statement ''The product of 3 and 4 is 9'' is

    Text Solution

    |

  20. Which of the following is not a negative of ''A nature number is ...

    Text Solution

    |

  21. Which of the following statement is a conjunction ?

    Text Solution

    |