GkSeries.com

NCERT Solutions for class 11 Maths | Chapter 1 - Sets

(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′

DOWNLOAD CURRENT AFFAIRS PDF FROM APP

(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

Please share this page

Chapters

Click Here to Read more questions

Teacher Eligibility Test