If V = {x : x ∈ N⁺, x is a multiple of 4 and x < 25}, what is the roster form of V?
Answer and explanation
Correct answer: V = {4, 8, 12, 16, 20, 24}
The governing concept is listing positive multiples subject to an upper bound. The positive multiples of 4 begin 4, 8, 12, 16, 20, 24, 28, and so on. The condition x < 25 keeps 4 through 24 and excludes 28 and larger values. Because N⁺ contains positive natural numbers, zero is not included. Thus V = {4, 8, 12, 16, 20, 24}, making option A correct; B includes zero and C violates the bound.
Frequently asked questions
What is the correct answer to this question?
V = {4, 8, 12, 16, 20, 24}
Why is this the correct answer?
The governing concept is listing positive multiples subject to an upper bound. The positive multiples of 4 begin 4, 8, 12, 16, 20, 24, 28, and so on. The condition x < 25 keeps 4 through 24 and excludes 28 and larger values. Because N⁺ contains positive natural numbers, zero is not included. Thus V = {4, 8, 12, 16, 20, 24}, making option A correct; B includes zero and C violates the bound.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
