Directions: Study the following information carefully and answer the question…
2017
Directions: Study the following information carefully and answer the question that follows:
In the given figure the four line segments 1, 2, 3, 4 are RA, SB, TC, UD respectively. The lengths of the lines are 39 m, 25 m, 27 m and 49 m respectively. Six people Mohan, Sohan, Rohan, Ankit, Vinit and Sumit are standing in line 1-RA. All of them are facing north, with the distance between them increasing in multiples of 7 from the left end (i.e. if Mohan is at the left end of the line at point R, then the remaining people stand at distances of 7 m, 14 m, 21 m ... from that end). Mohan is standing at the left end of the line. Two persons are standing between Mohan and Sohan. Rohan stands second to the left of Sohan. Sumit is an immediate neighbour of Rohan. Only one person stands between Sumit and Ankit. Similarly, six people Anita, Ambika, Amrita, Aanchal, Arpita and Ajita are standing in line-4 UD. All of them are facing south, with the distance between them increasing in multiples of 9 from the end (i.e. if the first person is at the right end of the line at point U, then the remaining stand at distances of 9 m, 18 m, 27 m ... from point U). Amrita is standing at the 3rd position from the right end. Arpita is an immediate neighbour of Amrita. Two people are standing between Arpita and Ajita. More than three persons stand between Ajita and Anita. Aanchal stands to the immediate left of Ajita. Ambika and Arpita are immediate neighbours. Point S and Point T are the left ends of line SB and line TC.
If in line-1 RA the people stand at distances in multiples of 9 in the same order, and the rest of them move to line-2 SB in the same order, then who will be standing in line-2?
- A.
Ankit
- B.
Sumit
- C.
Sohan
- D.
Sohan and Sumit
- E.
None of these
Show answer & explanation
Correct answer: E
Concept
When people are placed along a fixed-length line at a constant spacing measured from one end, a person stays on the line only if the distance their slot demands does not exceed the line's total length. Anyone whose required distance would fall beyond the far end cannot fit and is displaced. So the count that remains equals how many multiples of the spacing fit within the length, and the remaining people (taken in the same order) overflow.
Application
Step 1 - Fix the order in line-1 RA (multiples of 7 from the left end R, so slots at 0, 7, 14, 21, 28, 35 m):
Mohan is at the left end R, so Mohan occupies 0 m.
Two persons stand between Mohan and Sohan, placing Sohan in the 4th slot (21 m).
Rohan is second to the left of Sohan, so Rohan is in the 2nd slot (7 m).
Sumit is an immediate neighbour of Rohan; the 1st slot is Mohan, so Sumit takes the 3rd slot (14 m).
Only one person stands between Sumit (14 m) and Ankit, placing Ankit in the 5th slot (28 m).
The only name left, Vinit, takes the last slot (35 m).
So the left-to-right order on line-1 is: Mohan (0 m), Rohan (7 m), Sumit (14 m), Sohan (21 m), Ankit (28 m), Vinit (35 m).
Step 2 - Re-space the same order at multiples of 9 from R on the 39 m line. The slots become 0, 9, 18, 27, 36, 45 m. Compare each to the 39 m length of RA:
Person | Needed distance | Fits in 39 m? |
|---|---|---|
Mohan | 0 m | Yes |
Rohan | 9 m | Yes |
Sumit | 18 m | Yes |
Sohan | 27 m | Yes |
Ankit | 36 m | Yes |
Vinit | 45 m | No (45 > 39) |
The first five names fit within 39 m. Vinit's slot at 45 m lies beyond the end A, so Vinit is displaced and is the only person who moves to line-2 SB.
Cross-check
Five multiples of 9 (0, 9, 18, 27, 36) are at most 39, but the sixth (45) exceeds it - so exactly one person overflows, and in the kept order that person is the last one, Vinit. The person now standing in line-2 SB is therefore Vinit.
Result
Vinit is the only person in line-2 SB. Since 'Vinit' is not among the listed choices, the correct answer is 'None of these'.