If X and Y are two sets such that n (XUY)=50, n (X)=28 and n(Y)=32, find n (X ∩Y)

  If X and Y are two sets such that n (X) = 17, n (Y) =23, n(X ∪ Y) = 38, find n (X∩Y).

  If X and Y are two sets such that X ∪ Y has 18 elements, X has 8 elements and Y has 15 elements; how many elements does X ∩ Y have?

  In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the students knows either Hindi or English. How many students are there in the group?

  In a class of 35 students, 24 like to play cricket and 16 like to play football Also, each student likes to play at least one of the two games. How many students like to play both cricket and football?

  In a group of 400 people 250 can speak Hindi and 200 can speak English. How many can speak both Hindi and English?

  If S and T are two sets such that S has 21 elements, T has 32 elements and S ∩ T has 11 elements, how many elements does S ∪ T have?

  If X and Y are two sets such that X has 40 elements, X ∪Y has 60 elements and X ∩Y has 10 elements, how many elements does Y have?

  In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many people like both coffee and tea?

  In a school there are 20 teachers who teach mathematics or physics. Of these, 12 teach mathematics and 4 teach physics and mathematics. How many teach physics?