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Class 10 · Mathematics

In a survey of 90 people, 46 listen to radio, 38 listen to podcasts, and 16 listen to both. How many listen to neither?

Class 10 · Mathematics

In a class of 65 students, 34 study Sanskrit, 27 study Computer, and 11 study both. How many study at least one of the two subjects?

Class 10 · Mathematics

If A={1,2,3,4} and B={3,4,5,6}, what is A∪B?

Class 10 · Mathematics

If U={a,b,c,d,e,g}, A={a,c,e}, and B={b,c,g}, what is (A∪B)'?

Class 10 · Mathematics

If A={p,q,r} and B={q,r,s,t}, what is the set of elements that belong only to B?

Class 10 · Mathematics

If A={4,6,8,10} and B={6,10,12}, which elements are only in A, that is, in A but not in B?

Class 10 · Mathematics

If A={2,3,5,7,11} and B={1,3,5,9}, what is A∩B?

Class 10 · Mathematics

If n(A∪B)=63, only A is 24, and only B is 27, what is n(A∩B)?

Class 10 · Mathematics

If \(n(U)=76\), 18 elements lie outside \(A\cup B\), only \(A\) has 20 elements, and only \(B\) has 23 elements, what is \(n(A\cap B)\)?

Class 10 · Mathematics

If \(n(U)=94\), there are 26 elements only in \(A\), 15 elements in \(A\cap B\), and 31 elements only in \(B\), how many elements lie in neither \(A\) nor \(B\)?

Class 10 · Mathematics

If \(n(B-A)=21\) and \(n(A\cap B)=13\), what is \(n(B)\)?

Class 10 · Mathematics

If \(n(A-B)=16\) and \(n(A\cap B)=11\), what is \(n(A)\)?

Class 10 · Mathematics

If only \(A\) has 18 elements, \(A\cap B\) has 7 elements, and only \(B\) has 14 elements, what is \(n(A\cup B)\)?

Class 10 · Mathematics

If \(n(B)=41\) and \(n(A\cap B)=17\), how many elements are only in \(B\)?

Class 10 · Mathematics

If \(n(A)=35\) and \(n(A\cap B)=12\), how many elements are only in \(A\)?

Class 10 · Mathematics

If \(n(U)=85\) and \(n(A\cup B)=56\), how many elements are in neither \(A\) nor \(B\)?

Class 10 · Mathematics

If \(n(U)=72\) and \(n(A)=29\), what is \(n(A')\)?

Class 10 · Mathematics

If \(n(A)=28\), \(n(B)=19\), and \(n(A\cup B)=39\), what is \(n(A\cap B)\)?

Class 10 · Mathematics

If n(A) = 31, n(B) = 22, and n(A ∩ B) = 9, what is n(A ∪ B)?

Class 10 · Mathematics

If only the B region is shaded, how can it be represented in set notation?