Directions : Study the following information carefully and answer the…
2023
Directions : Study the following information carefully and answer the questions given below:
A certain number of persons sit in a linear row such that some of them face north while some of them face south. Some of them like different cities.
B sits at the fourth position from one of the extreme ends. The one who likes Hamilton sits fourth to the left of B. The number of persons sit between B and the one who likes Hamilton is one more than the number of persons sit between E and the one who likes Hamilton. Only two persons sit between E and F. F neither likes Hamilton nor sits to the right of B. The one who likes Tokyo sits third to the left of F. B and F face opposite directions. K sits adjacent to both H and F. The immediate neighbours of K face the opposite direction as K faces. The number of persons sit between K and the one who likes Tokyo is multiple of 3. The number of persons sits between H and J is thrice of the persons sit to the right of H. J sits to the left of F. Only one person sits between H and I. Only three persons sit between D and J. Only one person sits to the right of D. The one who likes Boston sits fourth to the left of D. One person sits between J and the one who likes Houston who faces north. G sits second to the left of J and both face same direction. The one who likes Madrid sits third to the left of E. The one who likes Toronto sits second to the left of I.
What is the position of the one who likes Toronto with respect to G?
- A.
Eighth to the right
- B.
Sixth to the left
- C.
Eighth to the left
- D.
Tenth to the right
- E.
Ninth to the left
Show answer & explanation
Correct answer: C
Concept
In a linear-row puzzle where some people face North and some face South, every direction phrase attached to a specific person -- "k persons to the left/right of X", "persons to the right of X" -- must be read from X's own facing, not from a fixed viewer's frame. If X faces North, X's own left/right matches the row's natural left-to-right seat order; if X faces South, X's own left/right is mirrored (X's own right points toward the lower-numbered seats). "Persons sitting between A and B" always equals |seat(A) - seat(B)| - 1, independent of anyone's facing.
Application
"Only one person sits to the right of D" fixes D two seats from one end of the row.
"Only three persons sit between D and J" places J four seats from D, on the side that keeps J inside the row.
Testing "the persons sitting between H and J is thrice the persons sitting to H's own right" only balances when H faces South and sits a specific distance from the near end of the used span -- this fixes both H's seat and the total row length at 19 persons (seats 1 to 19).
"Only one person sits between H and I" places I two seats from H.
"K sits adjacent to both H and F, and K's immediate neighbours face opposite to K" seats K directly between H and F, with H and F sharing one facing and K facing the other way.
"Only two persons sit between E and F" places E three seats from F.
"B sits fourth from an extreme end" together with "the Hamilton-liker sits fourth to B's own left" (B faces North) fixes B and the Hamilton-liker's seat; the rule "persons between B and the Hamilton-liker is one more than persons between E and the Hamilton-liker" then pins E's exact seat.
"G sits second to J's own left" (J faces North), sharing J's facing, fixes G's seat.
The remaining preferences follow directly: Tokyo third to F's own left (mirrored, since F faces South), Boston fourth to D's own left, Madrid third to E's own left, Houston two seats from J and facing North, and Toronto second to I's own left (mirrored, since I faces South).
Resolved seating map (occupied seats only; other seats are unnamed persons)
Seat | Person | Facing | Likes |
|---|---|---|---|
2 | I | South | -- |
4 | H | South | Toronto |
5 | K | North | -- |
6 | F | South | Madrid |
9 | E | North | Tokyo |
12 | G | North | Hamilton |
14 | J | North | Boston |
16 | B | North | Houston |
18 | D | North | -- |
Cross-check
Cross-checking two widely-separated clues against this seat map confirms it: persons sitting between H (seat 4) and J (seat 14) = 9, and thrice the persons sitting to H's own right (H faces South, so H's own right side is seats 1-3, i.e. 3 persons) = 9 -- the two match. Separately, the Hamilton-liker (seat 12) sits exactly four seats to B's own left (B is at seat 16 and faces North) -- also matching. Every other clue checks out the same way against this seat map with no contradiction.
Answer
G sits at seat 12 and faces North, so G's own left points toward the lower-numbered seats. The Toronto-liker sits at seat 4 -- exactly eight seats to G's own left. So the one who likes Toronto sits Eighth to the left of G.