If P = {a,b,c,d} and Q = {b,d,e}, find P ∩ Q.
Answer and explanation
Correct answer: {b,d}
The intersection P ∩ Q contains only elements that occur in both sets. Comparing P = {a,b,c,d} with Q = {b,d,e}, the common elements are b and d. Therefore, P ∩ Q = {b,d}. Option A contains elements not common to both sets, option C is the union, and option D would apply only if there were no common elements.
Frequently asked questions
What is the correct answer to this question?
{b,d}
Why is this the correct answer?
The intersection P ∩ Q contains only elements that occur in both sets. Comparing P = {a,b,c,d} with Q = {b,d,e}, the common elements are b and d. Therefore, P ∩ Q = {b,d}. Option A contains elements not common to both sets, option C is the union, and option D would apply only if there were no common elements.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
