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7 SETS FUNCTIONS AND RELATIONS

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Marks: 30

Q.   1

Which of the following statements is used to create an empty set?

Q.   2

What is the output of the following piece of code when executed in the python shell?

Q.   3

Which of the following lines code will result is an error?

Q.   4

What is the output of the code shown below?
S=set ([1, 2, 3,])  S, union ([4, 5})  S|([𝟒, 𝟓])

Q.   5

What is the output of the line of code shown below, if s1 = {1, 2, 3} Is S1 subset ?

Q.   6

A _____ is an ordered collection of objects.

Q.   7

The set of odd positive integers less than 10 can be expressed by ______

Q.   8

Power set of empty set has exactly _____ subset.

Q.   9

What is the Cartesian product of A = {1, 2} and B = {a, b}?

Q.   10

The Cartesian product B x A is equal to the Cartesian product A x B. Is it True or False?

Q.   11

What is the cardinality of the set of odd positive integers less than 10?

Q.   12

Which of the following two sets are equal?

Q.   13

Let the set A is the {1, 2, 3} and B is {2, 3, 4}. Then number of elements in A U B is

Q.   14

Let the set A is {1, 2, 3} and B is {2, 3, 4}. Then number of elements in A Ո B is

Q.   15

Let the set A is {1, 2, 3} and B is {2, 3, 4}. Then the set A – B is

Q.   16

If A, B and C are any three sets, then A-(BՈC) is equal to

Q.   17

Which of the following is the empty set?

Q.   18

If a set A has n elements, then the total number of subsets of A is

Q.   19

If A and B are any two sets, then AՍ (AՈB) is equal to

Q.   20

If two sets A and B are having 99 elements in common, then the number of elements
common to each of the sets A x B and B x A are

Q.   21

If A = {x : x is a multiple of 4} and B = { x : x is a multiple of 6} then A∩B consists of all
multiples of?

Q.   22

If A = {1, 2, 3, 4, 5}, B = {2, 4, 6}, C = {3, 4, 6}, Then (AՍB)ՈC is

Q.   23

If n (A) =4, n (B) =3, n (A×B×C) =24, then n(C) =

Q.   24

If A = {2, 3, 5}, B = {2, 5, 6}, then (A – B) × (A Ո B) is

Q.   25

The set of intelligent students in a class is [AMU 1998]

Q.   26

If A and B be any two sets, then (AՈB)’ is equal to

Q.   27

In a class of 100 students, 55 students have passed in Mathematics and 67 students have
passed in physics. Then the number of students who have passed in Physics only is

Q.   28

20 teachers of a school either teach mathematics or physics. 12 of them teach
mathematics while 4 teach both the subjects. Then the number of teachers teaching
physics only is

Q.   29

In a battle 70% of the combatants lost one eye, 80% an ear, 75% an arm, 85% a leg, x%
lost all the four limbs. The maximum value of x is

Q.   30

If A and B are not disjoint sets, then n(AՍB) is equal to? [Kerala (Eng.) 2001]

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