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) ?
35
14
49
None of these
All the pupils in a school play tennis or cricket. If 52 % play cricket or 65% play tennis. What percentage play both games ?
10%
20%
17 %
27 %
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 to Benares and Delhi ?
10
15
25
20
If n ( AUB) = 110, n ( A∩B) =32, then n ( A ) + n ( B ) is equal to _______.
100
30
142
78
If n ( A ) = 50, n ( B ) = 35, n ( A ∩ B ) = 5, then n ( A U B ) is equal to ________.
80
50
In a class there are 40 students, 26 have opted for Mathematics and 24 have opted for Science. How many students have opted for Mathematics and Science.
5
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 value of x ?
13
9
8
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 ?
55
45
In a school there are 15 teachers who teach Mathematics or Physics. Out of these 9 teach Mathematics and 3 teach both the subjects. Find the number of teachers who teach Physics?
3
6
12
A sports club has 25 members out of which 15 play tennis, 14 play badminton and 8 play both games. How many do not play either game ?
2
4