1.
Which of the following is a null set?
2.
Which of the following is true?
5.
Two finite sets have m and n elements. The number of elements in the power set of first set is 48 more than the total number of elements in the power set of the second set. Then the values of m and n respectively are
7.
If aN={an:n∈N} and bN∩cN=dN, where a, b, c ∈N and b,c are co- prime, then
10.
If A and B are non-empty sets, then P(A) ∪ P(B) is equal to
11.
If n(A) = 4 and n(B) =7, then the minimum and maximum values of n(A∪B) are respectively
12.
If A={3,{4,5},6}, then find which of the following statements are not true?
14.
From 50 students taking examinations in subjects A, B and C, 37 passed A, 24 passed B and 43 passed C. Atmost 19 passed A and B, atmost 29 passed A and C and atmost 20 passed B and C. The largest possible number that could have passed all the three examinations is
19.
A class has 175 students. The following data shows the number of students opting one or more subjects. Maths – 100, Physics – 70, chemistry - 40, maths and physics -30, maths and chemistry – 28 physics and Chemistry -23, Maths, Physics and Chemistry – 18. How many have offered Maths alone?
20.
For sets A and B, which is false?
21.
Let V = {a, e, i, o, u}, V –B = {e, o} and B –V = {k}. Then, the set B is
22.
If A= {x:x is a multiple of 4}and B={x:x is a multiple of 6},then A∩B consists of all multiples of
24.
A market research group conducted a survey of 1000 consumers and reported that 720 consumers like product A and 450 consumers like the product B, then least number that must have like both products, is
25.
If n(A) = 43, n(B) = 51 and n(A∪B)=75, then n((A-B) ∪(B-A))=
26.
The set of intelligent students in a class is
29.
The shaded region in the figure represents
33.
If n(A) = 10, n(B) = 6, n(C) = 5 for three disjoint sets A, B and C, then n(A∪B∪C)=
38.
If the set A contains 5 elements, then the number of elements in the power set P (A) is equal to
39.
Out of 800 boys in a school, 224 played Cricket, 240 played Hockey and 336 played Basketball. Of the total, 64 played both Basketball and Hockey, 80 played Cricket and Basketball, 40 played Cricket and Hockey; 24 played all the three games. The number of boys who did not play any game is
41.
If A and B are non-empty sets such that A⊃B, then
42.
If A and B are two sets, then A∪B=A∩B if and only if
43.
Let A and B be two non-empty subsets of a set X such that A is not a subset of B, then
45.
Which of the following is a null set?
46.
Let P, Q, R be three sets. Which statement is always true?
47.
In a certain town 25% families own a cell phone, 15% families own a scooter own scooter and 65% families own neither a cell phone nor a scooter. If 1500 families own both a cell phone and a scooter, then the total number of families in the town is
