csatmedium
Three persons A, B and C are standing in a queue not necessarily in the same order. There are 4 persons between A and B, and 7 persons between B and C. If there are 11 persons ahead of C and 13 behind A, what could be the minimum number of persons in the queue?
- A.22
- B.28
- C.32
- D.38
▶ Answer & Explanation
Correct answer: A. 22
To find the minimum number of people, we need to arrange A, B, and C in a way that minimizes the total count. The condition of 11 people ahead of C and 13 behind A suggests an overlap. By placing C and A such that C is ahead of A, and then fitting B in between, we can achieve the minimum. The minimum arrangement accounts for the overlapping individuals at the ends of the queue and between the specified persons.
Source: UPSC csat 2022