# Set and Their Representations Questions

Which of following is a set?

• Collection of all tasty fruits
• Collection of all good football players of your school
• Collection of all months of a year
• Collection of 5 most intelligent students of your class

Collection of all months of a year is a set. {Jan, Feb, March, April, …………….}

Is collection of first three days of week is a Set

Yes, because it can be represented as { Monday, Tuesday, Wednesday }

Which of following is Set?

• Collection of multiples of 5
• Collection of boys in a class
• Collection of talented people in a country
• Collection of months of a year

Collection of multiples of 5

A Collection of stamps is a set or not?

Yes, a collection of stamps is a set

Collection of fruits is a set, true or false?

True

If A = { x: x is a natural number }, B = { x: x is a even natural number }, C = { x: x is an odd natural number } and D = { x: x is a prime number } then what would AD be?

A can be written as { 1, 2, 3, 4, 5, ………………}
B can be written as { 2, 4, 6, 8, ………………..}
C can be written as { 1, 3, 5, 7, 9, ………………}
D can be written as { 2, 3, 5, 7, …………..}
Then A ∩ D = { x: x is a prime number } = D

Is collection of all even integers a set?

Definitely collection of all even integers is a set, because collection of all even integers only contain one integer single time and all of numbers in even integers collection are well defined.

Is collection of all most dangerous animals of world is a Set?

Collection of all most dangerous animals in the world cannot be a set as it cannot be defined whether an animal is most dangerous or not.

Is collection of ten most talented writers in India is a Set?

Collection of ten most talented writers in India cannot be a set as it cannot be defined whether a writer is a most talented or not.

If following is given then calculate would be set BD?
A = { x: x is a natural number }
B = { x: x is an even natural number }
C = { x: x is an odd natural number }
D = { x: x is a prime number }

So A = { 1, 2, 3, 4, 5, 6, …………….}
B = { 2, 4, 6, 8, ……………..}
C = { 1, 3, 5, 7, 9, ……………..}
D = { 2, 3, 5, 7, ………………..}
So B ∩ D = {2}

Is Collection of questions in a Book Chapter is a Set?

Yes, collection of questions in a Book Chapter is a Set as number of questions in book chapter can be well defined.

Find what would be AB if following is given: –
A = { x: x is a natural number }
B = { x: x is an even natural number }
C = { x: x is an odd natural number }
D = { x: x is a prime number }

So A = { 1, 2, 3, 4, 5, …………….. }
B = { 2, 4, 6, 8, ………….. }
C = { 1, 3, 5, 7, 9, ……………… }
D = { 2, 3, 5, 7, ……………….. }
AB = A ∩ B = B

Find out what would be ACD, if following is given: –
A = { 3, 5, 7, 9, 11 }
B = { 7, 9, 11, 13 }
C = { 11, 13, 15 }
D = { 15, 17 }

ACD = A ∩ C ∩ D = { 3, 5, 7, 9, 11 } ∩ { 11, 13, 15 } ∩ { 15, 17 }
ACD = 𝛟 (An Empty Set)

If following is given then find out what would be AD?
A = { 3, 5, 7, 9, 11 }
B = { 7, 9, 11, 13 }
C = { 11, 13, 15 }
D = { 15, 17 }

AD = A ∩ D = { 3, 5, 7, 9, 11 } ∩ { 15, 17 }
AD = 𝛟 (An Empty Set)