Eight persons A, B, C, D, E, F, G, and H sit in a row. Four face north and the…
2022
Eight persons A, B, C, D, E, F, G, and H sit in a row. Four face north and the remaining four face south.
At most two persons sit to the right of A, and A does not face north.
Three persons sit between A and B, and B is the only immediate neighbour of C.
Three persons sit between E and G, and neither E nor G sits adjacent to A.
H sits second to the right of C.
B and H face the same direction.
G faces south.
D sits third to the left of G.
H is not adjacent to D.
F sits second to the right of D.
Who sits third to the left of G?
Answer: E. None of these — In a linear seating puzzle, phrases such as “to the right of”, “to the left of”, and “persons between” fix every person's seat in one left-to-right order that…
- A.
C
- B.
F
- C.
B
- D.
A
- E.
None of these
Attempted by 8 students.
Show answer & explanation
Correct answer: E
In a linear seating puzzle, phrases such as “to the right of”, “to the left of”, and “persons between” fix every person's seat in one left-to-right order that does not depend on which way anyone faces; facing (north/south) is tracked as a separate attribute. Solve such puzzles by first pinning down whichever person is forced to a row-end, then propagating each relative-position clue outward from that anchor.
“At most two persons sit to the right of A” limits A to seat 6, 7, or 8 (only these seats leave two or fewer seats to the right).
“Three persons sit between A and B” means the two seats are exactly 4 apart, giving three candidate pairs: A=6 & B=2, A=7 & B=3, or A=8 & B=4.
“B is the only immediate neighbour of C” forces C onto a row-end seat (1 or 8) sitting directly beside B — seats next to B=3 or B=4 are never row-ends, so only A=6, B=2 survives, which places C at end seat 1.
“H sits second to the right of C” places H at seat 3 (1 + 2).
Seats 4, 5, 7, 8 remain for D, E, F, G. “D sits third to the left of G” with “F sits second to the right of D” admits only D=5, G=8, F=7 (the alternative D=4, G=7 would force F onto seat 6, already taken by A); the last open seat, 4, goes to E.
This placement is checked against the remaining clues: “three persons sit between E and G” (seats 5, 6, 7 lie between seat 4 and seat 8), “neither E nor G sits adjacent to A” (seat 6), and “H is not adjacent to D” (seats 3 and 5, two apart) — all hold.
At most two persons sit to the right of A (seat 6): seats 7 and 8 — exactly two.
Three persons sit between A (6) and B (2): seats 3, 4, 5.
B is C's only neighbour: C sits at end seat 1, beside B alone.
Three persons sit between E (4) and G (8): seats 5, 6, 7; neither E nor G is adjacent to seat 6 (A).
H sits second to the right of C: seat 3 = seat 1 + 2.
D sits third to the left of G: seat 5 = seat 8 − 3.
H is not adjacent to D: seats 3 and 5 are two apart.
F sits second to the right of D: seat 7 = seat 5 + 2.
The seating order, left to right, is therefore C, B, H, E, D, A, F, G. Three seats to the left of G (seat 8) is seat 5, occupied by D — and D does not appear among the listed choices. So none of the named options is the person asked for; the correct choice is “None of these.”
The facing directions given (A south, G south, B and H the same direction) are also jointly satisfiable with the required four-north/four-south split — for instance A, B, G, H south and C, D, E, F north — so the arrangement above is fully consistent, though the seating question itself only turns on seat position.