Consider the following
statements:
(I) (AnB)’= A’nB
(II) (AUB)’= A’UB’
(III) (A-B)’= A’-B’
of these statements:
(a) Only I is true (b) Only III is
true (c) All are true (d) None is
true
Consider the following
statements:
(I) Any set ‘A’ is comparable with
itself.
(II) {0} is a single ton set.
(III) { + is an empty set.
of these statements:
(a) I and II are true (b) II and III
are true (c) I and III are true (d) I,
II and III are true
The number of all possible
subsets of A= {1, {2, 3}} is
(a) 2 (b) 4 (c) 6 (d) 8
The number of non-empty
subsets of {a, b, c, d} is
(a) 3 (b) 4 (c) 15 (d) 16
Let X= {4, ,........?
Y= {2, 4, 6, 8, 10.......?
Assertion (A): Given sets are
comparable
Reason (R): X is a subset of Y
of these statements:
(a) A and R are both true but ‘R’ is
the correct explanation of A (b) A
is true but R is false (c) None of A
and R is true (d) Both A and R are
true but ‘R’ is not the correct
explanation of A.25. If P= {3m:m }
Q= { :n +, then
(a) PCQ (b) QCP (c) P=Q (d)
PVQ= N26. If P(A) denotes the power set
of ‘A’ and ‘A’ is the void set then
find number of elements in
P(P(P(P(A)))))
(a) 0 (b) 1 (c) 4 (d) 1627. If A= {4n+2:n }
B= {3n:n +
then AnB is
(a) { +6n:n } (b) {24n-
12:n + (c) {60n+30:n } (d)
{12n-6:n }28. In an exam out of 100
students, 75 passed in English, 60
passed in Maths, and 45 passed in
English and Maths. Find number
of students who passed in exactly
one of the two subjects.
(a) 45 (b) 60 (c) 75 (d) 90DIRECTIONS: The students of the
class are offered 3 languages
(Hindi, English and French). 15
students learn all the three
languages, whereas 28 students
don’t learn any language. The
number of students learning Hindi
and English but not French is
twice the number of students
learning Hindi and French but not