Step 1: Understanding the Question:
We must find which two of the four given sentences express the same underlying idea, even though they are worded differently.
Step 2: Key Formula or Approach:
Two sentences convey the same idea when they ask or state the same fact in different grammatical forms, such as a direct question and its indirect (reported) version. We check the core meaning and mood of each sentence before matching them.
Step 3: Detailed Explanation:
Sentence 1, "Wasn't there any checking at the airport?", is a direct question asking whether checking happened.
Sentence 2, "I want to know if there was any checking at the airport.", turns the same question into an indirect form using "if". Both simply ask about the plain past fact of whether checking took place.
Sentence 3 uses "should have been", which questions whether checking ought to have happened, an idea of expectation, not a plain fact.
Sentence 4 also uses "should have been", but as a statement, saying checking ought to have occurred. Sentences 3 and 4 share this idea of expectation, which is different from what 1 and 2 express.
Since sentences 1 and 2 both ask, in different forms, whether checking actually took place, they convey the same idea.
Step 4: Final Answer:
Sentences 1 and 2 convey the same idea, so the correct answer is option (B).
\[ \boxed{\text{1, 2}} \]