NCERT Solutions for class 11 Maths | Chapter 1 - Sets

Questions
1 Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are.
A 6,7
B 6,3
C 3,6
D 7,6

Answer:6,3
2 For all sets A and B, A – (A ∪ B) is equals to?
A A ∩ B
B A ∪ Β′
C A - B
D None of the above

Answer:A ∪ Β′

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3 If X and Y are two sets and X′ denotes the complement of X, then X ∩ (X ∪ Y)′ is equal to
A X
B Y
C φ
D X ∩ Y

Answer:φ
4 State which of the following statements are true and which are false. Justify your answer.
A 35 ∈ {x | x has exactly four positive factors}.
B 128 e {y | the sum of all the positive factorsofy is 2y}
C 3∉{x|x4-5x3 + 2jc2-112x + 6 = 0}
D 496 ∉{y | the sum of all the positive factors of y is 2y}.

Answer:35 ∈ {x | x has exactly four positive factors}.
5 A’ will contain how many elements from the original set A
A All elements in A
B 1
C 0
D Infinite

Answer:0
6 In lst quadrant ?
A X > 0, Y < 0
B X < 0, Y > 0
C X > 0, Y > 0
D X < 0, Y < 0

Answer:X > 0, Y > 0
7 If A is not equal to B, then the Cartesian product ?
A A x B not equal B x A
B is not possible
C A x B = B >< A
D None of the above

Answer:A x B not equal B x A
8 A set has n elements, then the, number of elements in its power set is ?
A None of the above
B 2°
C 2n
D 2n-1

Answer:2°
9 If R = {(1,1),(2,3),(4,5)}, then domain of the function is ?
A Dom R = {2,3,4,5}
B Dom R {1,1,4,5}
C Dom R = {I,2,4}
D Dom R {1,3,5}

Answer:Dom R = {I,2,4}
10 If A = {0,2) and B = {1,3), then Cartesian product ?
A AxB = BxA
B AxB not equal BxA
C is not possible
D None of the above

Answer:AxB not equal BxA
11 In 2nd quadrant ?
A X < 0,Y < 0
B X > 0, Y > 0
C X < 0, Y > 0
D X > 0, Y < 0

Answer:X < 0, Y > 0
12 A—B is read as ?
A Difference of A and B of B and A
B Both a and b
C None of the above
D Difference of B and A

Answer:Difference of A and B of B and A
13 If A has m elements and B has n elements, then A x B has elements ?
A m - n
B m + n
C 2n
D m x n

Answer:m x n
14 The intersection of sets A and B is expressed as ?
A AxB
B A/B
C A-B
D AnB

Answer:AnB
15 A C B is read as ?
A A is less than B
B A is a subset of B
C A is a proper subset of B
D B is a subset of A

Answer:A is a proper subset of B
16 If A =[5,6,7] and B=[7,8,9]then A U B is equal to:
A [5,6,7,8,9]
B [5,6,7]
C None of these
D [7,8,9]

Answer:[5,6,7,8,9]
17 The union of sets A and B is expressed as ?
A A/B
B A-B
C AUB
D AxB

Answer:AUB
18 How many rational and irrational numbers are possible between 0 and 1 ?
A 1
B 0
C Finite
D Infinite

Answer:Infinite
19 Every set is a ___________ of itself
A Proper subset
B Improper subset
C Compliment
D None of the above

Answer:Improper subset
20 A — B will contain elements in ?
A A not in B
B B not in A
C Neither A nor B
D Both A and B

Answer:A not in B

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