1.
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
3.
The set of intelligent students in a class is
4.
If A={3,{4,5},6}, then find which of the following statements are not true?
9.
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
11.
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
12.
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
14.
For sets A and B, which is false?
16.
Let V = {a, e, i, o, u}, V –B = {e, o} and B –V = {k}. Then, the set B is
18.
If n(A) = 43, n(B) = 51 and n(A∪B)=75, then n((A-B) ∪(B-A))=
20.
Which of the following is a null set?
24.
Which of the following is a null set?
25.
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?
26.
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
27.
Let P, Q, R be three sets. Which statement is always true?
30.
If A and B are non-empty sets, then P(A) ∪ P(B) is equal to
31.
If A and B are two sets, then A∪B=A∩B if and only if
32.
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
33.
If aN={an:n∈N} and bN∩cN=dN, where a, b, c ∈N and b,c are co- prime, then
35.
If the set A contains 5 elements, then the number of elements in the power set P (A) is equal to
37.
If n(A) = 4 and n(B) =7, then the minimum and maximum values of n(A∪B) are respectively
40.
If A and B are non-empty sets such that A⊃B, then
44.
Let A and B be two non-empty subsets of a set X such that A is not a subset of B, then
45.
If n(A) = 10, n(B) = 6, n(C) = 5 for three disjoint sets A, B and C, then n(A∪B∪C)=
46.
The shaded region in the figure represents
49.
Which of the following is true?
