In a class, the set of students playing cricket is \(C=\{Amit,Ravi,Sita\}\) and the set playing football is \(F=\{Ravi,Neha\}\). Which student(s) play both games?
Answer and explanation
Correct answer: \(\{Ravi\}\)
Students who play both games must belong to both sets, so we find the intersection \(C\cap F\). Comparing the two sets, Ravi is the only name appearing in both; Amit and Sita appear only in C, while Neha appears only in F. Therefore \(C\cap F=\{Ravi\}\), making option A correct. Option D is the union, which lists students playing at least one game rather than both.
Frequently asked questions
What is the correct answer to this question?
\(\{Ravi\}\)
Why is this the correct answer?
Students who play both games must belong to both sets, so we find the intersection \(C\cap F\). Comparing the two sets, Ravi is the only name appearing in both; Amit and Sita appear only in C, while Neha appears only in F. Therefore \(C\cap F=\{Ravi\}\), making option A correct. Option D is the union, which lists students playing at least one game rather than both.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Operations on Sets (Union, Intersection, Difference).
