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Chapter:

Sets

1. In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of m. How many persons like eir tea or coffee?

$In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of m. How many persons like eir tea or coffee?\r\n$

20 40 50 60

60

Given, a + b + c + d = 100, a + c = 40, b + c = 30, c = 10
b+10=30 => b=20
a + b + c = 40+20 = 60 i.e. 60 persons like eir tea or coffee.

Hint Answer

2. Which one of following is correct representation of set A = {2,4,8,16….} in set builder form?

{x: x = 2n where n ∈ N} {x: x = 2ⁿ where n ∈ N} {x: x = 4n where n ∈ N} {x: x = 2n+4 where n ∈ N}

{x: x = 2ⁿ where n ∈ N}

The sequence is a geometric progression with base 2 hence 2ⁿ is correct answer.

Hint Answer

3. Let X= {1,2,3}, Y= {}, Z= {1,2,3}, n which of following is true?

X⊂Y Only Y⊂X and Y⊂Z Z⊂Y Y⊂X and Y⊂Z and X⊂Z

Y⊂X and Y⊂Z and X⊂Z

Null set is subset of every set so Y⊂X and Y⊂Z.
Since set X is equal to set Z so, Z⊂X and X⊂Z.

Hint Answer

4. Which of following is an empty set?

Prime numbers up to 10 Even numbers up to 10 Prime numbers divisible by 2 Prime numbers divisible by 3

Prime numbers divisible by 3

Prime number is a number which is only divisible by 1 and itself. So, re is no prime number divisible by 3. So, it is an empty set.
Set of prime numbers up to 10 is {2,3,5,7} Set of even numbers up to 10 is {2,4,6,8} Set of prime numbers divisible by 2 is {2}.

Hint Answer

5. Which of following statement is correct?

$Which of following statement is correct?\r\n$

A is subset of B B is subset of A U is subset of A and B A and B are subsets of U

A and B are subsets of U

Since set A and set B lie completely inside set U as given in diagram so y are subsets of set U and set U is superset of set A and B.

Hint Answer

6. If A⊆B n what is A∩B, where A and B are two sets?

A B Null set Universal Set

A

Intersection signifies common elements between two sets hence A has common elements between A and B since A is a subset of B.

Hint Answer

7. The set is infinite if it has ___________ number of elements.

zero one finite infinite

infinite

The set is infinite if it has infinite number of elements. Set having zero elements is empty set, set having one element is singleton set, set having finite number of elements is finite set.

Hint Answer

8. Which of following is considered as universal set for squares?

Set of Rhombus Set of Parallelogram Set of Rectangle Set of Trapezium

Set of Rectangle

Set of rectangles is considered as universal set for set of squares because all squares are rectangles.

Hint Answer

9. Let X be set of rational numbers. Which of following is not subset of X?

Set of real numbers Set of natural numbers Set of whole numbers Set of integers

Set of real numbers

Set of rational numbers { x : x=p/q where p and q are integers and q≠0}.
Set of real number is not a subset of X. Set of natural numbers, whole numbers, integers are subset of X.

Hint Answer

10. Which one of following is not a set?

The collection of all whole numbers less than 200 The collection of all boys in your class The collection of talented actors in Hollywood The collection of all books written by Chetan Bhagat

The collection of talented actors in Hollywood

The collection of actors is not a set as re is no specific criterion to determine wher an actor is talented or not.

Hint Answer

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All Chapters

View all Chapter and number of question available From each chapter from Objective-Mathematics

Sets

Relations and Functions

Relations and Functions

Trigonometric Functions

Trigonometric Functions

Principle of Mathematical Induction

Principle of Mathematical Induction

Complex Numbers and Quadratic Equations

Complex Numbers and Quadratic Equations

Linear Inequalities

Linear Inequalities

Permutations and Combinations

Permutations and Combinations

Binomial Theorem

Binomial Theorem

Sequences and Series

Sequences and Series

Straight Lines

Conic Sections

Three Dimensional Geometry

Three Dimensional Geometry

Limits and Derivatives

Limits and Derivatives

Mathematical Reasoning

Mathematical Reasoning

Statistics

Probability

Relations and Functions II

Relations and Functions

Inverse Trigonometric Functions

Inverse Trigonometric Functions

Matrices

Determinants

Continuity and Differentiability

Continuity and Differentiability

Application of Derivatives

Application of Derivatives

Integrals

Application of Integrals

Application of Integrals

Differential Equations

Differential Equations

Vector Algebra

Three Dimensional Geometry

Three Dimensional Geometry

Linear Programming

Linear Programming

Probability

Application of Calculus

Application of Calculus

Topics

This Chapter Sets consists of the following topics

Sets

In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of m. How many persons like eir tea or coffee?

$In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of m. How many persons like eir tea or coffee?\r\n$

;

Which one of following is correct representation of set A = {2,4,8,16….} in set builder form?

Let X= {1,2,3}, Y= {}, Z= {1,2,3}, n which of following is true?

Which of following is an empty set?

Which of following statement is correct?

$Which of following statement is correct?\r\n$

;

If A⊆B n what is A∩B, where A and B are two sets?

The set is infinite if it has ___________ number of elements.

Which of following is considered as universal set for squares?

Let X be set of rational numbers. Which of following is not subset of X?

Which one of following is not a set?

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