11th maths chapter 1

Who is known for the quote about the study of mathematics being the oldest and youngest?

• Pythagoras

• Georg Cantor

• G.H. Hardy

• Einstein

What is the primary focus of the section titled 'Sets and their Representations'?

• Algebra

• Geometry

• Calculus

• Sets

Which of the following is an example of a finite set?

• The set of vowels

• Real numbers

• Natural numbers

• Integers

What does the symbol '∈' represent in set theory?

• Is a subset of

• Is equal to

• Is an element of

• Is not an element of

Which of the following is an infinite set?

• The set of prime numbers less than 100

• The set of even numbers

• The set of months in a year

• The set of days in a week

What is the power set of {1, 2}?

• {1, 2, φ}

• {φ, {1}, {2}, {1, 2}}

• {1, 2}

• {1, 2, 3}

Which of the following is a subset of {a, b, c}?

• {a, b, c, d}

• {b, c, d}

• {a, d}

• {a, b}

What is the universal set in the context of set theory?

• The set of natural numbers

• The empty set

• The set of integers

• The set containing all elements under consideration

Which operation combines two sets to include all elements from both?

• Difference

• Complement

• Union

• Intersection

What is the intersection of sets A = {1, 2, 3} and B = {2, 3, 4}?

• {1, 2}

• {2, 3}

• {1, 4}

• {2, 3, 4}