RRB NTPC · Question 37
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. The ratio of the number of students passed in one or more of the sections to the number of students who passed in Section A alone is: A. 78/21 B. 3 C. 73/21 D. 75/21
Show answer & explanation
Answer: (D) A
Explanation
From A's total, 33 = 21 (only A) + (10 − x) + (8 − x) + x, so x = 6 passed all three. Exactly two sections: (10 − 6) + (9 − 6) + (8 − 6) = 9. One or more sections = 63 (only one) + 9 + 6 = 78. Ratio to 'Section A alone' (21) = 78/21.