Question

If A= {P,O,L,Y,T,E,C,H,N, I} and B = {E, X, A, M}, then \(A∩B =\)

• A. {P}
• B. {E}
• C. {X}
• D. {T}

Answer 1

The Correct Option is B

Step 1: Write the sets clearly.
Set \( A = \{P, O, L, Y, T, E, C, H, N, I\} \)
Set \( B = \{E, X, A, M\} \)

Step 2: Understand the operation.
The symbol \( \cap \) represents the intersection of two sets, i.e., elements that are common to both sets.

Step 3: Compare the elements of set B with set A.
- \( E \) is in both A and B.
- \( X \), \( A \), and \( M \) are not present in set A.

Step 4: Write the result.
Only \( E \) is common. So, \( A \cap B = \{E\} \)

The correct option is (B): {E}