In a queue, Shikhar is ninth from the back. Arun's place is eighth from the…
2017
In a queue, Shikhar is ninth from the back. Arun's place is eighth from the front. Nikhil is standing between the two. What could be the minimum number of boys standing in the queue?
- A.
8
- B.
10
- C.
12
- D.
None of these
Attempted by 5 students.
Show answer & explanation
Correct answer: B
To find the minimum number of boys in the queue, we need to arrange the boys in an overlapping manner, keeping Nikhil between Arun and Shikhar.
Step-by-Step Analysis
Understand the Given Positions:
Arun is 8th from the front.
Shikhar is 9th from the back.
Nikhil is standing between the two.
Calculate for Minimum Overlap:
To minimize the queue size, we want Arun and Shikhar to overlap as much as possible while still leaving space for Nikhil.
If Arun is at position 8 from the front, and Nikhil is at position 9, then Shikhar must be at position 10.
If Shikhar is at position 10 from the front, we check his position from the back. If the total number of boys is 18, then Shikhar's position from the back is (Total - Position from front + 1) = (18 - 10 + 1) = 9th from the back.
This arrangement satisfies all conditions: Arun is 8th from the front, Shikhar is 9th from the back, and Nikhil is between them.