Which set is V = {x ∈ N : x is a two-digit divisor of 100}?
Answer and explanation
Correct answer: English: V = {10, 20, 25, 50} | हिन्दी: V = {10, 20, 25, 50}
The positive divisors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. The phrase two-digit means that the number must be at least 10 and at most 99. Filtering the divisor list with this digit condition leaves 10, 20, 25, and 50. The number 100 is a divisor but has three digits, while 1, 2, 4, and 5 have one digit. Thus V = {10, 20, 25, 50}, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
English: V = {10, 20, 25, 50} | हिन्दी: V = {10, 20, 25, 50}
Why is this the correct answer?
The positive divisors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100. The phrase two-digit means that the number must be at least 10 and at most 99. Filtering the divisor list with this digit condition leaves 10, 20, 25, and 50. The number 100 is a divisor but has three digits, while 1, 2, 4, and 5 have one digit. Thus V = {10, 20, 25, 50}, so option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
