What is M₁ = {x : x is a positive multiple of 10 less than 100 and is also divisible by 25}?
Answer and explanation
Correct answer: M₁ = {50}
A number that is both a multiple of 10 and divisible by 25 must be a common multiple of 10 and 25. Their least common multiple is 50, so the positive common multiples are 50, 100, 150, and so on. The condition x < 100 excludes 100 and all larger values. Therefore, the only member is 50, making option A correct.
Frequently asked questions
What is the correct answer to this question?
M₁ = {50}
Why is this the correct answer?
A number that is both a multiple of 10 and divisible by 25 must be a common multiple of 10 and 25. Their least common multiple is 50, so the positive common multiples are 50, 100, 150, and so on. The condition x < 100 excludes 100 and all larger values. Therefore, the only member is 50, making option A correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
