Step 1 :The question is asking for the intersection of sets A and B. The intersection of two sets is the set of elements that are common to both sets. In this case, we need to find the elements that are present in both set A and set B.
Step 2 :Set A = \{1, 2, 3, 4\}
Step 3 :Set B = \{1, 2, 5\}
Step 4 :The intersection of sets A and B is \{1, 2\}
Step 5 :Final Answer: \(A \cap B=\boxed{\{1,2\}}\)