If A = {1, 2, 3, 4, 5, 6}, what is the set B of all even elements of A?
Answer and explanation
Correct answer: {2, 4, 6}
An even integer is divisible by 2 without leaving a remainder. Checking the elements of A one by one, 2, 4, and 6 are even, whereas 1, 3, and 5 are odd. Therefore the set containing all even elements of A is B = {2, 4, 6}. Option C misses 6, option A contains the odd elements, and option D includes every element rather than only the even ones.
Frequently asked questions
What is the correct answer to this question?
{2, 4, 6}
Why is this the correct answer?
An even integer is divisible by 2 without leaving a remainder. Checking the elements of A one by one, 2, 4, and 6 are even, whereas 1, 3, and 5 are odd. Therefore the set containing all even elements of A is B = {2, 4, 6}. Option C misses 6, option A contains the odd elements, and option D includes every element rather than only the even ones.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
