NCERT Solutions for class 11 Maths | Chapter 1 - Sets

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Questions
1 If N (A) = 115, N (B) = 326, N (A∩B) = 47, Then N (A U B) Is Equal To
A 370
B 394
C 165
D none of these

Answer:394
2 In a class of 50 students, 20 play Hockey, 15 play Cricket and 11 play Football. 7 play both Hockey and Cricket, 4 play Cricket and Football and 5 play Hockey and football. If 18 students do not play any of these given sports, how many students play exactly two of these sports?
A 10
B 11
C 12
D 9

Answer:10
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3 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 [7,8,9]
D None of these

Answer:[5,6,7,8,9]
4 The Range of The Function F(X) = X/ 1 - X ‚ Is
A R - {0}
B R – {-1, 1}
C R - {-1}
D None of these

Answer:R - {-1}
5 If r = {(2,1),(4,3),(4,5)}, then range of the function is ?
A Range R = {2,4}
B Range R = {I,3,5}
C Range R = {2,3,4,5}
D Range R {1,1,4,5}

Answer:Range R = {I,3,5}
6 THE SMALLEST SET A SUCH THAT A ∪ {1, 2} = {1, 2, 3, 5, 9} IS
A {3, 5, 9}
B {2, 3, 5}
C {1,2, 5, 9}
D None of these

Answer:{3, 5, 9}
7 WHICH OF THE FOLLOWING SETS ARE NULL SETS:
A {x: |x |< -4, x ?N}
B 2 and 3
C Set of all prime numbers between 15 and 19
D {x: x < 5, x > 6}

Answer:2 and 3
8 Which of the following are true:
A {x: x2 - 1= 0, x ?N} ? {-1, 1}
B {x: x2 - 4x + 3 = 0} = {1, 3}
C 1 and 2
D {x: x >3, x ?0} ? ?

Answer:{x: x2 - 4x + 3 = 0} = {1, 3}
9 IF A U B = A U C AND A ∩ B = A ∩ C, THEN
A B = C only when A Í C
B B = C only when A ? B
C B = C
D none of these

Answer:B = C
10 In 3rd 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
11 If A = {1, 2, 3, 4, 5}, Then the Number of Proper Subsets Of A Is
A 31
B 32
C 30
D 120

Answer:31
12 In a class of 120 students numbered 1 to 120, all even numbered students opt for Physics, whose numbers are divisible by 5 opt for Chemistry and those whose numbers are divisible by 7 opt for Math. How many opt for none of the three subjects?
A 19
B 41
C 21
D 57

Answer:41
13 Let f = {(x² /1+x² ): x € r } be a function from r into r . Range of x is
A negative real numbers
B non negative real numbers.
C positive real numbers.
D any positive real number x such that 0 ≤ x < 1

Answer:any positive real number x such that 0 ≤ x < 1
14 THE SET OF INTELLIGENT STUDENTS IN A CLASS IS.
A A finite set
B A singleton set
C A null set
D Not a well defined collection

Answer:Not a well defined collection
15 If a has m elements and b has n elements, then A x B has elements?
A m x n
B m + n
C m - n
D 2n

Answer:m x n
16 If R Is a Relation on A Finite Set Having N Elements, Then The Number Of Relations On A Is
A nn
B 2n
C 2n
D n2

Answer:2n
17 Two finite sets have n and m elements. The number of elements in the power set of first set is 48 more than the total number of elements in power set of the second set. Then the values of m and n are
A 7, 6
B 6, 4
C 7, 4
D 6, 3

Answer:6, 4
18 IF A, B, C BE THREE SETS SUCH THAT A ∪ B = A ∪ C AND A ∩ B = A ∩ C, THEN.
A B = C
B A = C
C A = B = C
D A = B

Answer:B = C
19 A’ Will Contain How Many Elements from The Original Set A
A 0
B All elements in A
C 1
D Infinite

Answer:0
20 A SET CONTAINS K ELEMENTS. THE POWER SET OF THIS SET CONTAINS
A k elements
B 2k / 2 elements
C 2k elements
D k2 elements

Answer:2k elements

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