1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Given that the universal set, ξ={x:1≤x≤12 and x is an integer} and the sets P={x:x is a prime number},Q={x:x is a multiple of 4} and R={2,3,8,9} the elements of the set (Q∪R)′∩P are

A
{2,3}
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
{2,3,5}
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
{5,7,11}
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
{1,5,7,11}
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is C {5,7,11}Here ξ={1,2,3,...12} P={2,3,5,7,11} Q={4,8,12} R={2,3,8,9} The Venn diagram is shown in the figure Then the set (Q∪R)′∩P contains the elements contained in P and neither in R or Q which is same as the elements of P intersection with complement of R∪Q and it is {5,7,11}

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Types of Sets
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program