If A = {x : x is a positive divisor of 16 and x is even}, then which of the following sets is equal to A?
Answer and explanation
Correct answer: {2, 4, 8, 16}
The positive divisors of 16 are 1, 2, 4, 8, and 16. The condition requires x to be even, so the odd divisor 1 must be removed. The remaining elements are 2, 4, 8, and 16; therefore A = {2, 4, 8, 16}, which is option A. Option B includes 1, option C includes 6, which is not a divisor of 16, and option D omits 2.
Frequently asked questions
What is the correct answer to this question?
{2, 4, 8, 16}
Why is this the correct answer?
The positive divisors of 16 are 1, 2, 4, 8, and 16. The condition requires x to be even, so the odd divisor 1 must be removed. The remaining elements are 2, 4, 8, and 16; therefore A = {2, 4, 8, 16}, which is option A. Option B includes 1, option C includes 6, which is not a divisor of 16, and option D omits 2.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
