Home
Class 11
MATHS
A is the set of prime number less than 1...

A is the set of prime number less than 10, B is the set of odd numbers less than 10 and C is the set of even numbers of less than 10. Which of the following statements are true?
(i) `A subset B` (ii) `B subset A` (iii) `A subset C` (iv) `C subset A` (v) `B subset C` (vi) `phi subset A`

Text Solution

Verified by Experts

The correct Answer is:
all four conditions are equivalent.
Promotional Banner

Topper's Solved these Questions

  • SETS

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQs|25 Videos

  • SETS

    KUMAR PRAKASHAN|Exercise LATEST EXAMS MCQs|2 Videos

  • SETS

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|127 Videos

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems -Question of Module|19 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos

Similar Questions

Explore conceptually related problems

P is the set of factors of 5, Q is the set of factors of 25 and R is the set of factors of 125. Which of the following is false? (A) P subset Q (B) Q subset R (C) R subset P (D) P subset R

Write down all the subsets of the following sets {a,b}

Which of the following sets are finite or infinite The set of prime numbers less than 99

Let A be the set of prime number smaller than 6 and B be the set of prime factors of 30. Check if A and B are equal.

Match the following sets for all sets A, B and C.

Fill in the blanks to make each of the following a true statement : Each set has at least "………." subsets.

Tick the set which is infinite (A) The set of whole numbers lt 10 (B) The set of prime numbers lt 10 (C) The set of integers lt 10 (D) The set of factors of 10

Write the relation R= {(x,x^3): x is a prime number less than 10) in roster form.

Fill in the blanks to make each of the following a true statement : The number of subsets of a set A having n elements is "………."

If A and B are two events such that A subset B and P(B) != 0 , then which of the following is correct?

KUMAR PRAKASHAN-SETS-MISCELLANEOUS EXERCISE : 1
  1. In each of the following, determine whether the statement is true or f...

    Text Solution

    |

  2. In each of the following, determine whether the statement is true or f...

    Text Solution

    |

  3. In each of the following, determine whether the statement is true or f...

    Text Solution

    |

  4. In each of the following, determine whether the statement is true or f...

    Text Solution

    |

  5. Let A, B, and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C....

    Text Solution

    |

  6. A is the set of prime number less than 10, B is the set of odd numbers...

    Text Solution

    |

  7. Show that if A ⊂ B, then C – B ⊂ C – A.

    Text Solution

    |

  8. Assume that P ( A ) = P ( B ). Show that A = B

    Text Solution

    |

  9. Is it true that for any sets A and B, P ( A ) ∪ P ( B ) = P ( A ∪ B )?...

    Text Solution

    |

  10. Show that for any sets A and B, A = ( A ∩ B ) ∪ ( A – B ) and A ∪ ...

    Text Solution

    |

  11. Using properties of sets, show that A ∩ ( A ∪ B ) = A.

    Text Solution

    |

  12. Using properties of sets, show that A ∩ ( A ∪ B ) = A.

    Text Solution

    |

  13. Show that A ∩ B = A ∩ C need not imply B = C.

    Text Solution

    |

  14. Let A and B be sets. If A ∩ X = B ∩ X = φ and A ∪ X = B ∪ X for some s...

    Text Solution

    |

  15. Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty s...

    Text Solution

    |

  16. In a survey of 600 students in a school, 150 students were found to be...

    Text Solution

    |

  17. In a group of students, 100 students know Hindi, 50 know English and 2...

    Text Solution

    |

  18. In a survey of 60 people, it was found that 25 people read newspaper H...

    Text Solution

    |

  19. In a survey of 60 people, it was found that 25 people read newspaper H...

    Text Solution

    |

  20. In a survey it was found that 21 people liked product A, 26 liked prod...

    Text Solution

    |