Union of Sets MCQ Quiz in தமிழ் - Objective Question with Answer for Union of Sets - இலவச PDF ஐப் பதிவிறக்கவும்
Last updated on Apr 23, 2025
Latest Union of Sets MCQ Objective Questions
Union of Sets Question 1:
X = {x : x = 4(n - 1), n ∈ N} மற்றும் Y = {y : y = 3n - 2n - 1, n ∈ N } எனில், X ∪ Y ϵ ?
Answer (Detailed Solution Below)
Union of Sets Question 1 Detailed Solution
கணக்கீடு:
X = {x : x = 4(n - 1), n ∈ N}
n = 1
⇒ x = 4(1 -1)
⇒ x = 0
n = 2
⇒ x = 4(2 - 1)
⇒ x = 4
n = 3
⇒ x = 4(3 - 1)
⇒ x = 4(2) = 8
Y = {y : y = 3n - 2n - 1, n ∈ N }
y = 3n - 2n - 1
n = 1
⇒ y = 31 - 2(1) - 1
⇒ y = 0
n = 2
⇒ y = 32 - 2(2) - 1
⇒ y = 9 - 4 -1
⇒ y = 4
n = 3
⇒ y = 33 - 2(3) - 1
⇒ y = 27 - 6 - 1
⇒ y = 20
So, X = {0, 4, 8,...} and Y = {0, 4, 20,...}
∴ X ∪ Y = X = {0, 4, 8, 20,...} ϵ W
W is a set of the whole number.
The correct option is 1 i.e. W
Top Union of Sets MCQ Objective Questions
X = {x : x = 4(n - 1), n ∈ N} மற்றும் Y = {y : y = 3n - 2n - 1, n ∈ N } எனில், X ∪ Y ϵ ?
Answer (Detailed Solution Below)
Union of Sets Question 2 Detailed Solution
Download Solution PDFகணக்கீடு:
X = {x : x = 4(n - 1), n ∈ N}
n = 1
⇒ x = 4(1 -1)
⇒ x = 0
n = 2
⇒ x = 4(2 - 1)
⇒ x = 4
n = 3
⇒ x = 4(3 - 1)
⇒ x = 4(2) = 8
Y = {y : y = 3n - 2n - 1, n ∈ N }
y = 3n - 2n - 1
n = 1
⇒ y = 31 - 2(1) - 1
⇒ y = 0
n = 2
⇒ y = 32 - 2(2) - 1
⇒ y = 9 - 4 -1
⇒ y = 4
n = 3
⇒ y = 33 - 2(3) - 1
⇒ y = 27 - 6 - 1
⇒ y = 20
So, X = {0, 4, 8,...} and Y = {0, 4, 20,...}
∴ X ∪ Y = X = {0, 4, 8, 20,...} ϵ W
W is a set of the whole number.
The correct option is 1 i.e. W
Union of Sets Question 3:
X = {x : x = 4(n - 1), n ∈ N} மற்றும் Y = {y : y = 3n - 2n - 1, n ∈ N } எனில், X ∪ Y ϵ ?
Answer (Detailed Solution Below)
Union of Sets Question 3 Detailed Solution
கணக்கீடு:
X = {x : x = 4(n - 1), n ∈ N}
n = 1
⇒ x = 4(1 -1)
⇒ x = 0
n = 2
⇒ x = 4(2 - 1)
⇒ x = 4
n = 3
⇒ x = 4(3 - 1)
⇒ x = 4(2) = 8
Y = {y : y = 3n - 2n - 1, n ∈ N }
y = 3n - 2n - 1
n = 1
⇒ y = 31 - 2(1) - 1
⇒ y = 0
n = 2
⇒ y = 32 - 2(2) - 1
⇒ y = 9 - 4 -1
⇒ y = 4
n = 3
⇒ y = 33 - 2(3) - 1
⇒ y = 27 - 6 - 1
⇒ y = 20
So, X = {0, 4, 8,...} and Y = {0, 4, 20,...}
∴ X ∪ Y = X = {0, 4, 8, 20,...} ϵ W
W is a set of the whole number.
The correct option is 1 i.e. W