Question

Professor is opposite to-

• A. Teacher
• B. IT professional
• C. Dancer
• D. None of these
• A. Only 1
• B. Only 2
• C. Only 2 and 3
• D. None of these
• A. 2nd
• B. 4th
• C. 5th
• D. Cannot be determined
• A. Ranchi
• B. Dharbhanga
• C. Durgapur
• D. None of these

Answer 1

The Correct Option is A

Step 1 — Chain the “city–profession–opposite/adjacent” facts:
(i) The 1st entrant sits opposite a person from Durgapur, and that Durgapur person is to the right of Ranchi.
(ii) Teacher is from Kolkata and sits to the right of the IT professional (so IT → Teacher in clockwise/right order).
(iii) The Durgapur person is adjacent to Teacher and Architect, and is opposite the Doctor.
(iv) The person from Ranchi is opposite the Architect (and Architect is not from Dharbhanga).
(v) Doctor is from Chennai and sits adjacent to the 3rd and 6th entrants (so Doctor is fixed opposite Durgapur per (iii)).
(vi) The Burdwan person is adjacent to the 3rd and 5th entrants (another symmetric adjacency like the Doctor’s).
(vii) Professor (not 5th entrant) is equidistant from Ranchi and Durgapur.

Step 2 — Lock the Durgapur-centered mini-structure:
From (iii), around the Durgapur seat we must have: Teacher – Durgapur – Architect consecutively (because Durgapur is adjacent to both Teacher and Architect). Also, Durgapur is opposite Doctor.
From (iv), Ranchi is opposite Architect.
From (i), the Durgapur seat is to the right of Ranchi (i.e., moving clockwise from Ranchi you encounter Durgapur). These together force the relative arc: Ranchi → (to its right along the circle) … → Durgapur → Architect (adjacent) and Architect is opposite Ranchi; Teacher is the other neighbor of Durgapur.

Step 3 — Use the “equidistant” condition for Professor:
By (vii), Professor is equidistant from Ranchi and Durgapur. In a circular table, a seat equidistant from two specified seats lies at the midpoint(s) of the shortest arcs between them. Given the forced trio Teacher – Durgapur – Architect and that Ranchi is opposite Architect, the only seat that is at equal distance from both Ranchi and Durgapur is the seat opposite Teacher (the geometry of the circle with one seat between Teacher and Architect on Durgapur’s sides pins this).
Intuition check: since Durgapur is fixed between Teacher and Architect, and Ranchi is fixed opposite Architect, the point symmetric to Teacher across the center balances the distances to Ranchi and Durgapur, satisfying “equidistant”.

Step 4 — Conclusion:
Therefore, the Professor must sit opposite the Teacher.

Answer: (A): Teacher.

Answer 2

Step 1 — Recall the Burdwan condition:
From clue (vi): “The guy from Burdwan is adjacent to guys who came at 3rd and 5th positions.”
This doesn’t directly mention professions, but combining with the circle structure (Teacher–Durgapur–Architect block, Ranchi opposite Architect, Doctor opposite Durgapur, Professor opposite Teacher) we can work out the adjacencies.

Step 2 — Fit Burdwan into the layout:
Doctor is opposite Durgapur and is adjacent to the 3rd and 6th entrants. Burdwan is adjacent to the 3rd and 5th entrants. So Doctor and Burdwan are arranged in a kind of symmetric fashion. The consistent seating arrangements found from the conditions place Burdwan next to the Dharbhanga person and the Durgapur person.

Step 3 — Check the options:
(1) Professor and Architect → ❌ Burdwan is not adjacent to both of these together. (2) Guys from Dharbhanga and Durgapur → ✅ This matches the correct arrangement. (3) Architect and IT professional → ❌ Burdwan is not adjacent to both of them.

Step 4 — Conclusion:
The Burdwan person is adjacent only to the guys from Dharbhanga and Durgapur.

Answer: (B): Only 2.

Answer 3

Step 1 — Recall the fixed opposites:
- Ranchi is opposite the Architect (clue iv).
- Doctor is opposite Durgapur (clue iii).
- Professor is opposite Teacher (clue vii).
So Ranchi’s opposite is already tightly constrained (Architect).

Step 2 — Bring in Burdwan:
Clue (vi): The guy from Burdwan is adjacent to the 3rd and 5th entrants. This pins Burdwan’s adjacency but does not fix his exact seat around the circle.
Clue (iii) also says Durgapur is adjacent to Teacher and Architect — but Burdwan’s placement remains flexible so long as adjacency conditions are satisfied.

Step 3 — Test the requirement:
The question asks: The guy from Burdwan sitting opposite to the guy from Ranchi came at which position?
But Ranchi’s opposite is uniquely the Architect, not Burdwan. That means there is no guarantee Burdwan sits directly opposite Ranchi at all — multiple valid seatings are possible depending on how the 3rd, 5th, and 6th entrants are placed.

Step 4 — Conclusion:
Because Burdwan’s seat cannot be uniquely fixed in opposition to Ranchi under the given constraints, the exact entry position of Burdwan cannot be determined.

Answer: (D): Cannot be determined.

Answer 4

Step 1 — Lock the core structure from the clues:
• Teacher (from Kolkata) sits to the right of the IT professional ⟹ IT → Teacher (clockwise).
• The person from Durgapur is adjacent to Teacher and Architect, and is opposite the Doctor (who is from Chennai).
• The person from Ranchi is opposite the Architect (Architect is not from Dharbhanga).
• Professor is equidistant from the seats of Ranchi and Durgapur ⟹ Professor sits opposite Teacher (the only position balancing those distances after fixing the Teacher–Durgapur–Architect trio).

Step 2 — Fix the “Durgapur block” and opposites:
Around the Durgapur seat we must have the consecutive trio Teacher – Durgapur – Architect (since Durgapur is adjacent to both). From this:
• Doctor ↔ Durgapur (opposite).
• Ranchi ↔ Architect (opposite).
• Professor ↔ Teacher (opposite).

Step 3 — Eliminate what Ranchi can/cannot be:
• Ranchi cannot be Architect (it is opposite Architect).
• Ranchi cannot be Doctor (Doctor is from Chennai, not Ranchi).
• Ranchi cannot be Teacher (Teacher is from Kolkata).
• Ranchi cannot be Professor (Professor sits opposite Teacher and must be equidistant from Ranchi & Durgapur—so Professor is a fixed other seat).
• Ranchi cannot be IT either: IT must be immediately to the left of Teacher, but the forced Teacher–Durgapur–Architect block and the opposites (Ranchi ↔ Architect) make every rotation that tries Ranchi = IT clash with at least one of: “Teacher right of IT”, “Ranchi opposite Architect”, or “Durgapur adjacent to Teacher & Architect”.

Step 4 — Only viable profession left for Ranchi:
After excluding Architect, Doctor, Teacher, Professor, and IT for the Ranchi seat, the remaining role consistent with all constraints is Dancer.

Conclusion:
The Dancer is the person from Ranchi.

Answer: (A): Ranchi.