Step 1: Understanding the Problem Total students: 130 Students who failed in English: 62 Students who failed in Mathematics: 52 Students who failed in both English and Mathematics: 24 We need to calculate the total number of students who passed both subjects.

Step 2: Formula for Union of Sets Let: E: Set of students who failed in English. M: Set of students who failed in Mathematics.

Using the formula for the union of two sets: $|E \cup M| = |E| + |M| - |E \cap M|$

Where: $|E| = 62$, $|M| = 52$, $|E \cap M| = 24$

Substitute the values: $|E \cup M| = 62 + 52 - 24 = 90$

So, 90 students failed in at least one subject (English or Mathematics).

Step 3: Calculate Students Who Passed Both Subjects The total number of students is 130, and 90 students failed in at least one subject. Hence, the number of students who passed both subjects is: $130 - 90 = 40$

Final Answer: 40 (Option A)