If n ( x ) = 15. n ( x U y ) = 40 and n( x ∩ y ) = 5, then n ( y ) = ________.
55
25
60
30
Of the people in a tourist club, 50 are going to Nepal, 100 to Delhi and 70 to Benaras. 20 only are going to Nepal and 30 only to Benaras. Hence, 10 are going to Benaras and Nepal only and 5 are going to all the three places.How many are going only to Delhi ?
35
45
A and B are two sets such that n( A - B ) = 14 + x, n( B - A ) = 3 x and n( A ∩ B ) = x given that n( A ) = n( B ).calculate n (AUB) ?
14
49
None of these
If n (A) = 42, n (B) = 38, n ( AUB) = 70, then n (A∩B) is equal to _________
6
4
12
10
Given the sets U = { 1, 2, 3 - - - - - - 10 }.A = {2,4, 6,8,10 } and B = { 4, 5, 6, 7 } find ( A U B )'
A = {1,2 4 }
{2,4,4,6,7,8,10 }
{1,3,9}
{ 1 }
If n ( AUB) = 110, n ( A∩B) =32, then n ( A ) + n ( B ) is equal to _______.
100
142
78
In a group of 50 students, 25 play hockey, 30 play football and 8 play neither game. Find the number of students who play both hockey and foot ball.
42
13
15
Of the 100 members of a sports club, 48 play squash ( S ), 45 play badminton ( B ), 52 play table tennis ( T ). 18 play squash and table tennis, 21 play badminton and table tennis, 15 play squash and badminton. Each member plays atleast one game and x members play all the three games.Find the members who play only squash.
20
24
26
If n ( M ) = 20 and n ( N ) = 17, What are the smallest and largst possible values of n ( MUN ).
37 and 20
20 and 37
20 and 30
30 and 20
In a school of 20 teachers, 10 teach French 8 teach German and teach Spanish, 2 teach French and German but none German and Spanish.How many teach only German ?
2
8
