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Let X and Y be the sets of all positive ...

Let X and Y be the sets of all positive divisions of400 and 1000 respectively (including 1 and the number). Then `n(X cap Y)` is T, then `(T)/(4)` is-

A

4

B

6

C

8

D

12

Text Solution

Verified by Experts

The correct Answer is:
D
`X nn Y ={1,2,4,5,8,10,20,25,40,50,100,200}`
`:." "n(X nn Y)=12`
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Knowledge Check

  • Let X and Y be the sets of all positive divisors of 400 and 1000 respectively (including 1 and the number), Then , n(X nnY)=

    A
    4
    B
    3
    C
    8
    D
    12

  • If X and Y two sets, then X cap (Y cup X) ' equals

    A
    X
    B
    Y
    C
    `phi`
    D
    {0}

  • If X and Y are two sets such that n(X =25, n(X cup Y)=35 and n (X cap Y)=5 , then find n(Y) .

    A
    16
    B
    29
    C
    11
    D
    None of these
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    4. If n(A)=4,n(B)=3" and "n(AxxBxxC)=24, then n(C) is equal to

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    5. The number of elements in the set {(a, b) : 2a^2 + 3b^2 = 35. a . b i...

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