Home
Class 12
MATHS
Consider the following statements : 1....

Consider the following statements :
`1.` `Nuu(BnnZ)=(NuuB)nnZ` for any subset `B` of `R`, where `N` is the set of positive integers, `Z` is the set of integers, `R` is the set of real numbers.
`2.` Let `A={n in N : 1 ge n ge 24, n "is a multiple of" 3}`. There exists no subsets `B` of `N` such that the number of elements in `A` is equal to the number of elements in `B`.
Which of the above statemetns is/are correct ?

A

`1` only

B

`2` only

C

Both `1` and `2`

D

Neither `1` nor `2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

  • GEOMETRY

    RESONANCE|Exercise Exercise-1 (Part-I: Previous Asked Question For Pre RMO)|50 Videos

Similar Questions

Explore conceptually related problems

What is the number of proper subsets of a given finite set with n elements?

The number of all possible subsets of a set containing n elements?

What is the total number of proper subsets of a set containing n elements?

If A is a finite set containing n elements then find the number of subsets of A.

Let R be the relation in the set N given by R = {a,b):a is a multiple of b} .Then :

Let n be a fixed positive integer.Define a relation R on the set Z of integers by,aRb hArr n|a-b. Then,R is not

RESONANCE-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. Solve the inequation 2^(1/(cos^2 x))sqrt(y^2-y+1/2)<= 1

    Text Solution

    |

  2. Which of the following are true: \ (2xx3)!=2!xx3!

    Text Solution

    |

  3. Consider the following statements : 1. Nuu(BnnZ)=(NuuB)nnZ for any s...

    Text Solution

    |

  4. Which of the following venn-diagrams best represents the sets of femal...

    Text Solution

    |

  5. In a college of 300 students, every student reads 5 newspapers and eve...

    Text Solution

    |

  6. In a town of 10,000 families it was found that 40% family buy newspape...

    Text Solution

    |

  7. Let A(1), A(2) and A(3) be subsets of a set X. Which one of the follow...

    Text Solution

    |

  8. Let A, B, C be distinct subsets of a universal set U. For a subset X o...

    Text Solution

    |

  9. Let U be set with number of elements in U is 2009. Consider the foll...

    Text Solution

    |

  10. Consider the following statements : 1. If A={(x,y) in [RxxR : x^(3)+...

    Text Solution

    |

  11. In a class of 55 students, the number of students studying different s...

    Text Solution

    |

  12. In an examination of a certain class, at least 70% of the students fai...

    Text Solution

    |

  13. A and B two sets such that n(A)=3 and n(B)=6, then

    Text Solution

    |

  14. The number of solution of equation x^3-21 x-20=e^x is/are

    Text Solution

    |

  15. If a!=0 then complete set of solution of (x^2-2x+2^(|x|))/(x^2-a^2)>0 ...

    Text Solution

    |

  16. The complete set of soluton of equation |1-(|x|)/(1+|x|)|=(1)/(2) is {...

    Text Solution

    |

  17. The smallest integral value of a such that |x+a-3|+|x-2a|=|2x-a-3| is ...

    Text Solution

    |

  18. Number of positive integral solution of the equation |x^(2)-3x-3| gt |...

    Text Solution

    |

  19. If (x^(2)-2|x|)(|2x|-2)-9((2|x|-2)/(x^(2)-2|x|)) le0 then

    Text Solution

    |

  20. Number of solution pair of equations y=||x|-2|-2| and y=(x+2)/2equals ...

    Text Solution

    |