3.
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
5.
If aN={an:n∈N} and bN∩cN=dN, where a, b, c ∈N and b,c are co- prime, then
7.
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
10.
If n(A) = 43, n(B) = 51 and n(A∪B)=75, then n((A-B) ∪(B-A))=
11.
If n(A) = 4 and n(B) =7, then the minimum and maximum values of n(A∪B) are respectively
12.
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
13.
The set of intelligent students in a class is
17.
Let A and B be two non-empty subsets of a set X such that A is not a subset of B, then
19.
If A and B are non-empty sets such that A⊃B, then
23.
If A and B are non-empty sets, then P(A) ∪ P(B) is equal to
24.
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?
25.
If n(A) = 10, n(B) = 6, n(C) = 5 for three disjoint sets A, B and C, then n(A∪B∪C)=
27.
If A={3,{4,5},6}, then find which of the following statements are not true?
28.
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
30.
If the set A contains 5 elements, then the number of elements in the power set P (A) is equal to
31.
The shaded region in the figure represents
32.
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
33.
If A and B are two sets, then A∪B=A∩B if and only if
35.
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
36.
For sets A and B, which is false?
41.
Which of the following is a null set?
42.
Let V = {a, e, i, o, u}, V –B = {e, o} and B –V = {k}. Then, the set B is
44.
Which of the following is true?
47.
Let P, Q, R be three sets. Which statement is always true?
49.
Which of the following is a null set?
