RRB NTPC · Question 38
Direction: Read the data given below and answer the question based on it. There were 3 sections namely A, B and C in a test. Out of three sections, 33 students passed in Section A, 34 students passed in Section B and 32 passed in Section C. 10 students passed in Section A and Section B, 9 passed in Section B and Section C, 8 passed in Section A and Section C. The number of students who passed each section alone was equal and was 21 for each section. How many passed all the three sections? A. 3 B. 6 C. 5 D. 7
Show answer & explanation
Answer: (A) B
Explanation
Section A: 33 = 21 + (10 − x) + (8 − x) + x = 39 − x, so x = 6. (Check with B: 21 + (10 − 6) + (9 − 6) + 6 = 34.) So 6 passed all three sections.