Set Theory Model Questions Set 2 Practice Questions Answers Test with Solutions & More Shortcuts

Question : 1

In a class of 110 students, x students take both Mathematics and Statistics, 2x + 20 students take Mathematics and 2x + 30 students take Statistics. There are no students who take neither Mathematics nor Statistics. What is x equal to?

a) 25

b) 20

c) 15

d) 30

Question : 2

If A = {1, 2, 3, 4}, then what is the number of subsets of A with atleast three elements?

a) 5

b) 4

c) 3

d) 10

Question : 3

In an examination, 50% of the candidates failed in English, 40% failed in Hindi and 15% failed in both the subjects. The percentage of candidates who passed in both English and Hindi is

a) 60%

b) 25%

c) 20%

d) 75%

Question : 4

Let x ε {2, 3, 4} and y ε {4, 6, 9, 10}. If A be the set of all order pairs (x, y) such that x is a factor of y. Then, how many elements does the set A contain?

a) 7

b) 10

c) 12

d) 6

Question : 5

The Venn diagram given above represents four sets of students who have opted for Mathematics, Physics, Chemistry and Electronics. What does the shaded region represent?

a) Students who opted for Mathematics, Physics and Electronics only

b) Students who opted for Mathematics, Physics and Chemistry

c) Students who opted for Physics, Chemistry and Electronics

d) Students who opted for Mathematics, Chemistry and Electronics only