Home
Class 11
MATHS
Given below are two pairs of statements....

Given below are two pairs of statements. Combine these two statements using ''if and only if ''.
(i) p: If a rectangle is a square, then all its four sides are equal. q: If all the four sides of a rectangle are equal, then the rectangle is a square.
(ii) p: If the sum of digits of a number is divisible by 3, then the number is divisible by 3.
q: If a number is divisible by 3, then the sum of its digits is divisible by 3.

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    NCERT TELUGU|Exercise EXERCISE 14.1|11 Videos
  • MATHEMATICAL REASONING

    NCERT TELUGU|Exercise EXERCISE 14.2|10 Videos
  • LINEAR INEQUALITIES

    NCERT TELUGU|Exercise EXERCISE (Miscellaneous Exercise on Chapter 6)|4 Videos
  • PERMUTATIONS AND COMBINATIONS

    NCERT TELUGU|Exercise Miscellaneous Exercise on Chapter 7|11 Videos

Similar Questions

Explore conceptually related problems

If the sum of the digits of a number is divisible by 3 then it is divisible by ________

How many two digit numbers are divisible by 4 ?

Find the sum of all 3 digit numbers that are divisible by 4.

How many two-digit numbers are divisible by 3?

Show that the diagonals of a rectangle are of equal length.

In a given number, if last 3-digits are divisible by 8 then the entire number is divisible by………………..

Find the sum of all three digit natural numbers, which are divisible by 3 and not divisible by 6.

Rewrite each of the following statements in the form ''p if and only if q'' r: If a quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.

State whether true or false: All the rectangles are squares (T/F)

The inverse of "if a polygon is a square then it is rectangle" is

NCERT TELUGU-MATHEMATICAL REASONING-Miscellaneous Exercise on Chapter 14
  1. Given below are two pairs of statements. Combine these two statements ...

    Text Solution

    |

  2. Write the negation of the following statements: p: For every positiv...

    Text Solution

    |

  3. Write the negation of the following statements: q: All cats scratch.

    Text Solution

    |

  4. Write the negation of the following statements: r: For every real n...

    Text Solution

    |

  5. Write the negation of the following statements: s: There exists a n...

    Text Solution

    |

  6. State the converse and contrapositive of each of the following stateme...

    Text Solution

    |

  7. State the converse and contrapositive of each of the following stateme...

    Text Solution

    |

  8. State the converse and contrapositive of each of the following stateme...

    Text Solution

    |

  9. Write each of the statements in the form ''if p, then q'' p: It is n...

    Text Solution

    |

  10. Write each of the statements in the form ''if p, then q'' q: There i...

    Text Solution

    |

  11. Write each of the statements in the form ''if p, then q'' r: You can...

    Text Solution

    |

  12. Rewrite each of the following statements in the form ''p if and only i...

    Text Solution

    |

  13. Rewrite each of the following statements in the form ''p if and only i...

    Text Solution

    |

  14. Rewrite each of the following statements in the form ''p if and only i...

    Text Solution

    |

  15. Given below are two statements p : 25 is a multiple of 5. q : 25 i...

    Text Solution

    |

  16. Check the validity of the statements given below by the method given a...

    Text Solution

    |

  17. Write the following statement in five different ways, conveying the sa...

    Text Solution

    |