Study the given information carefully and answer the given questions. Asha,…

2025

Study the given information carefully and answer the given questions. Asha, Bina, Chitra, Deena, Ena, Fita, Gita, and Hema are sitting around a circular table, facing the centre. Gita is sitting third to the right of Fita. Hema is not an immediate neighbour of Fita or Gita. Asha is sitting second to the right of Hema. Bina is sitting third to the right of Chitra, and Chitra is not an immediate neighbour of Gita. Deena is not an immediate neighbour of Hema or Chitra. Total how many persons are sitting between Bina and Ena, starting from Bina, in a counter-clockwise direction?

  1. A.

    One

  2. B.

    Two

  3. C.

    Three

  4. D.

    Four

Attempted by 2 students.

Show answer & explanation

Correct answer: B

Concept: When everyone at a circular table faces the centre, ‘right’ and ‘left’ are fixed rotational directions for every person alike — a person’s right runs opposite to the clockwise direction seen from above, and their left runs along it. Every clue of the form ‘k-th to the right/left of X’ is therefore a fixed rotational offset in that one direction, and chaining these offsets together with the negative clues (‘is not a neighbour of’) pins down a single, unique seating order.

Applying it to this seating

  1. Fix Fita’s seat as the reference point, then mark Gita’s seat three places away in the fixed ‘right’ direction described above, since Gita sits third to the right of Fita.

  2. Rule out every seat immediately next to Fita and every seat immediately next to Gita as possible seats for Hema, since Hema is not an immediate neighbour of either of them.

  3. Of the seats left for Hema, only one keeps ‘second to the right of Hema’ pointing to a seat that is still empty for Asha — the other choice forces Asha onto Fita’s own already-occupied seat, which is impossible. This fixes both Hema’s and Asha’s seats.

  4. Chitra cannot sit next to Gita, which leaves two candidate seats for Chitra. For each candidate, ‘Bina is third to the right of Chitra’ still lands Bina on a seat that is currently empty, so this check alone does not yet decide between the two candidates — both stay live for the next step.

  5. Apply Deena’s condition — not an immediate neighbour of Hema or of Chitra — to each of the two live candidates from the previous step. In one candidate, this rules out every seat left for Deena entirely, so no legal seat remains for her and that whole candidate (with its placement of Chitra and Bina) is eliminated. In the other candidate, exactly one of the two remaining seats is legal for Deena — this fixes Chitra’s, Bina’s, and Deena’s seats together, leaving the last seat for Ena.

  6. Cross-check every original clue against the completed arrangement to confirm all of them hold. Also confirm the candidate eliminated in the previous step truly leaves no legal seat for Deena on its own terms — that is precisely what rules it out — confirming this arrangement is the only one consistent with every clue.

  7. Starting at Bina’s seat and moving in the counter-clockwise direction fixed above, list the occupied seats in order until Ena’s seat is reached, and count how many people lie strictly in between the two.

Final seating order

Seat (clockwise order)

Person

1

Fita

2

Asha

3

Chitra

4

Hema

5

Ena

6

Gita

7

Deena

8

Bina

Tracing counter-clockwise from Bina’s seat (seat 8): the very next seat reached is Deena’s (seat 7), then Gita’s (seat 6), before arriving at Ena’s seat (seat 5). So exactly two people, Deena and Gita, sit strictly between Bina and Ena on this path.

Cross-check

Every clue checks out against this final order: Gita sits third to Fita’s right; Hema is next to neither Fita nor Gita; Asha sits second to Hema’s right; Bina sits third to Chitra’s right while Chitra is not next to Gita; and Deena is next to neither Hema nor Chitra. The construction was also tested for uniqueness — the alternative seat for Chitra (and the resulting seat for Bina) leaves no legal seat for Deena, so this is the only arrangement that satisfies every clue.

Answer

Two people — Deena and Gita — sit between Bina and Ena when moving counter-clockwise from Bina, so the correct option is Two.

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