Study the following information to answer the questions given below: Eight…

2024

Study the following information to answer the questions given below:

  1. Eight persons E, F, G, H, I, J, K and L are seated around a square table - two on each side.

  2. There are three lady members and they are not seated next to each other.

  3. J is between L and F.

  4. G is between I and F.

  5. H, a lady member, is second to the left of J.

  6. F, a male member, is seated opposite to E, a lady member.

  7. There is a lady member between F and I.

Who among the following is seated between E and H?

  1. A.

    K

  2. B.

    None of these

  3. C.

    F

  4. D.

    J

Show answer & explanation

Correct answer: A

In a square-table puzzle with two people on each side, number the eight seats clockwise: a person facing the table's centre then has their left hand pointing in the clockwise direction, and the side directly opposite any given side is the one two sides away. Chain every "X is between Y and Z" clue into one fixed block first, since a person can have only two neighbours, then place the rest using the opposite-side and left/right clues, resolving any remaining tie with the gender clue.

  1. Clues III and IV both name F: "J is between L and F" gives the run L-J-F, and "G is between I and F" gives F-G-I. Since F can have only two neighbours, these merge into one run of five seats, open at both ends (I at one end, L at the other): either read as I-G-F-J-L or, mirrored, as L-J-F-G-I.

  2. Clue VII says a lady sits between F and I; in this run, G is the only person between F and I, so G must be one of the three lady members.

  3. Clue V places H two seats clockwise (to the left) of J. Reading the run as L-J-F-G-I would put that seat on top of G's own seat, which is impossible, so the run must instead be read as I-G-F-J-L, which places H two seats past J, in the seat next to L.

  4. Clue VI places F opposite E. Seating F and E in the exact facing seat directly across the table is impossible here - checking it directly always ends up seating two of the three ladies side by side, breaking clue II - so "opposite" must instead pick out the side of the table that faces F's own side: the two seats left over on the far side from the I-G-F-J-L run. Whichever of those two seats F's own side pairs across from, one of the two free seats always sits right next to H; seating E there would put two of the three ladies (E and H) side by side, breaking clue II.

  5. So E must take the other of the two free seats - the one away from H - leaving exactly one seat unfilled, between H and E, for K. With this placement none of the three ladies (E, G and H) sit next to another lady, satisfying clue II, and this is the only placement of E, H and K that satisfies every clue at once.

Going around the table: I, G, F, J, L, H, K, E, and back to I.

K sits directly between H and E, so K is the person seated between E and H.

Checking this order against every clue:

  • J's neighbours are F and L, matching clue III.

  • G's neighbours are I and F, matching clue IV.

  • H sits two seats to the left of J, next to L, matching clue V.

  • F and E sit on directly facing sides of the table, matching clue VI.

  • G, the only person between F and I, is a lady, matching clue VII.

  • None of the three ladies - E, G and H - sit next to one another, matching clue II.

Every clue checks out for this arrangement, confirming K as the person seated between E and H.

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