If T = {x ∈ N : x is a divisor of 48 and x < 10}, which set is T?
Answer and explanation
Correct answer: English: T = {1, 2, 3, 4, 6, 8} | हिन्दी: T = {1, 2, 3, 4, 6, 8}
A divisor of 48 is a natural number that divides 48 without leaving a remainder. The relevant positive divisors are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The condition x < 10 removes 12 and every larger divisor. Therefore the required roster form is T = {1, 2, 3, 4, 6, 8}. Option A includes every divisor below 10, while the other options either omit a valid divisor or include 12.
Frequently asked questions
What is the correct answer to this question?
English: T = {1, 2, 3, 4, 6, 8} | हिन्दी: T = {1, 2, 3, 4, 6, 8}
Why is this the correct answer?
A divisor of 48 is a natural number that divides 48 without leaving a remainder. The relevant positive divisors are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The condition x < 10 removes 12 and every larger divisor. Therefore the required roster form is T = {1, 2, 3, 4, 6, 8}. Option A includes every divisor below 10, while the other options either omit a valid divisor or include 12.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
