Objective Type Questions On Class 11 Maths Chapter 1

1 IF A = [5, 6, 7] and B = [7, 8, 9] then A ∪ 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]

2 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

View Answer

Answer:41

3 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

View Answer

Answer:B = C

4 Which of the following two sets are equal?

A A = {1, 2} and B = {1}

B A = {1, 2} and B = {1, 2, 3}

C A = {1, 2, 3} and B = {2, 1, 3}

D A = {1, 2, 4} and B = {1, 2, 3}

View Answer

Answer:A = {1, 2, 3} and B = {2, 1, 3}

5 In 2nd quadrant?

A X < 0, Y < 0

B X < 0, Y > 0

C X > 0, Y > 0

D X > 0, Y < 0

View Answer

Answer:X < 0, Y > 0

6 { (A, B) : A² +B² = 1} on the sets has the following relation

A reflexive

B symmetric

C none

D reflexive and transitive

View Answer

Answer:symmetric

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}

View Answer

Answer:2 and 3

8 The members of the set S = {x | x is the square of an integer and x < 100} is

A {0, 2, 4, 5, 9, 58, 49, 56, 99, 12}

B {0, 1, 4, 9, 16, 25, 36, 49, 64, 81}

C {1, 4, 9, 16, 25, 36, 64, 81, 85, 99}

D {0, 1, 4, 9, 16, 25, 36, 49, 64, 121}

View Answer

Answer:{0, 1, 4, 9, 16, 25, 36, 49, 64, 81}

9 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 test. Then the value of M and N are

A 7, 6

B 6, 4

C 7, 4

D 6, 3

View Answer

Answer:6, 4

10 How many rational and irrational numbers are possible between 0 and 1?

A 0

B Finite

C Infinite

D 1

View Answer

Answer:Infinite

11 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

View Answer

Answer:[5, 6, 7, 8, 9]

12 In last quadrant?

A X < 0, Y > 0

B X < 0, Y < 0

C X > 0, Y < 0

D X > 0, Y > 0

View Answer

Answer:X > 0, Y > 0

13 If A, B and C are any three sets, then A – (B ∪ C) is equal to

A (A – B) ∪ (A – C)

B (A – B) ∪ C

C (A – B) ∩ C

D (A – B) ∩ (A – C)

View Answer

Answer:(A – B) ∩ (A – C)

14 IF R = {(2, 1),(4, 3),(4, 5)}, then range of the function is?

A Range R = {2, 4}

B Range R = {1, 3, 5}

C Range R = {2, 3, 4, 5}

D Range R {1, 1, 4, 5}

View Answer

Answer:Range R = {1, 3, 5}

15 The range of the function f(x) = 3x – 2‚ is

A (- ∞, ∞)

B R – {3}

C (- ∞, 0)

D (0, – ∞)

View Answer

Answer:(- ∞, ∞)

16 (A’)’ = ?

A ∪ – A

B A’

C ∪

D A

View Answer

Answer:A

17 A – B is read as?

A Difference of A and B of B and A

B None of the above

C Difference of B and A

D Both a and b

View Answer

Answer:Difference of A and B of B and A

18 If A, B and C are any three sets, then A × (B ∪ C) is equal to

A (A × B) ∪ (A × C)

B (A ∪ B) × (A ∪ C)

C None of these

D (A × B) ∩ (A × C)

View Answer

Answer:(A × B) ∪ (A × C)

19 Empty set is a?

A Finite Set

B Invalid Set

C None of the above

D Infinite Set

View Answer

Answer:Finite Set

20 In a class of 50 students, 10 did not opt for math, 15 did not opt for science and 2 did not opt for either. How many students of the class opted for both math and science.

A 24

B 25

C 26

D 27

View Answer