Directions : Study the following information carefully and answer the…
2017
Directions : Study the following information carefully and answer the questions that follow:
In the given figure the four-line segments 1,2,3,4 are RA, SB, TC, UD respectively. The lengths of the line are 39m,25m,27m and 49m respectively.
Six people Mohan, Sohan, Rohan, Ankit, Vinit and Sumit are standing in line 1-RA. All of them are facing north. With distance between them increasing in multiples of 7 from the left end (i.e. suppose Mohan is left end of the line at point R then the remaining people will stand at a distance as follows -7m, 14m, 21m…. from the end)
Mohan is standing at the left end of the line. Two persons are standing between Mohan and Sohan. Rohan stand second to the left of Sohan. Sumit is an immediate neighbor 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 distance between them increasing in multiples of 9 from the end (i.e. if first person is right end of the line at point U and the remaining will be stand at the distance as follows-9m, 18m,27 m…. from point U).
Amrita is standing is at 3rd position from the right end. Arpita is an immediate neighbor 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 is left end of the row in line SB and line TC.
In the line-4 UD, what is the distance between Arpita and point D?
- A.
14m
- B.
16m
- C.
22m
- D.
24m
- E.
None of these
Show answer & explanation
Correct answer: C
Concept
In a linear-arrangement puzzle, fix the end-anchored clue first, convert each clue into a relative gap (immediate neighbour = 1 seat apart; "two persons between" = 3 seats apart), then place everyone along the line. Once seat order is fixed, a person's distance from an end equals (seat index from that end) x (the stated common gap). The distance to the far end is the line length minus the distance to the near end.
Application
Line-4 UD has length 49 m and the gap grows in multiples of 9 m, measured from U. So the six seats sit at 0, 9, 18, 27, 36 and 45 m from U.
Amrita is 3rd from the U end, so she occupies the seat at 18 m from U.
Arpita is an immediate neighbour of Amrita, and Ambika is an immediate neighbour of Arpita, so Amrita-Arpita-Ambika sit consecutively; this forces Arpita to the seat just beyond Amrita, at 27 m from U.
"Two people between Arpita and Ajita" places Ajita 3 seats from Arpita, at the U end (0 m); "Aanchal to the immediate left of Ajita" and "more than three persons between Ajita and Anita" then fill the remaining seats consistently: Ajita 0, Aanchal 9, Amrita 18, Arpita 27, Ambika 36, Anita 45 m.
Arpita therefore stands 27 m from U. Point D is the far end at 49 m from U, so the distance from Arpita to D = 49 - 27 = 22 m.
Cross-check
Every clue is satisfied by the final order (Amrita at 18 m = 3rd from U; Amrita-Arpita-Ambika consecutive; exactly two seats between Arpita at 27 m and Ajita at 0 m; four people between Ajita and Anita). The line spans 49 m, and 27 + 22 = 49, so the Arpita-to-D distance of 22 m is consistent with the full length.