Home
Class 6
MATHS
If n(A)=x, n(B)=2[n(A)], n(A uu B)=2017 ...

If `n(A)=x, n(B)=2[n(A)], n(A uu B)=2017` and `n(A nn B)=1007`. Find the value of `x`.

Text Solution

Verified by Experts

The correct Answer is:
1008
Given `n(A)=x, n(B)=2[n(A)]=2x`
`n(A uu B)=2017, n(A nn B)=1007`
`n(A uu B)=n(A)+n(B)-n(A nn B)`
`2017=x+2x-1007`
`3x=3024`
`x=1008`
Promotional Banner

Topper's Solved these Questions

  • SETS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION|5 Videos

  • SETS

    PEARSON IIT JEE FOUNDATION|Exercise ASSESSMENT TEST|15 Videos

  • SETS

    PEARSON IIT JEE FOUNDATION|Exercise VERY SHORT ANSWER TYPE|21 Videos

  • RATIO AND PROPORTION

    PEARSON IIT JEE FOUNDATION|Exercise Crossword|1 Videos

  • STATISTICS

    PEARSON IIT JEE FOUNDATION|Exercise ASSESSMENT TEST|10 Videos

Similar Questions

Explore conceptually related problems

If n(A)=10,n(B)=15 and n(A uu B)=x

If n(A)=4, n(B)=6 and n(A uu B)=8 , then find n(A nn B) .

If n(A)=20 and n(A nn B)=5 , then find the value of n(A-B) .

If n(A) = 3, n(B) = 5 and n(A uu B) = 7 , then find n(A nn B) .

If n(A)=50,n(B)=20 and n(A nn B)=10 then n(A Delta B) is

If n(A) =8 , n(B)=12 and n (A nn B)=6 then, find n(A uuB)

If n (A)=10, n(B)=21 and n(A nn B)=5 , then find n(A uu B) .

There are three events A, B, C such that n(B)=230, n(bar(A)nn B nnbar(C))=100, n(A nn B nnbar(C))=50 and n(A nn B nn C)=10 , then value of n(A nn B nn C) is

For three finite sets,n(A)=34,n(B)=41,n(C)=52,n(A nn B)=15,n(B nn C)=19,n(C nn A)=12. A possible value of n(A uu B uu C) is