Logical Reasoningतार्किक क्षमता · वृत्ताकार बैठक व्यवस्था

Circular Arrangementवृत्ताकार बैठक व्यवस्था questions and answersप्रश्न और उत्तर

Circular arrangement puzzles seat a group around a round or square table and ask who sits where. They look harder than a straight row, but a circle has one big advantage: there are no ends, so the first person you place can go anywhere. Everything else is measured from that seat.

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IBPS PO ~5
SSC CGL ~1
TCS NQT ~1

Practice questions are in English for now.अभ्यास के प्रश्न अभी अंग्रेज़ी में हैं।

How circular arrangement worksवृत्ताकार बैठक व्यवस्था को समझिए

Draw the circle as if you were looking down from the ceiling and fix one person at the top. A rotation of the whole table is the same seating, so this first placement costs you nothing and removes every duplicate drawing.

Directions depend on which way a person faces. Someone facing the centre has their left hand pointing clockwise on your drawing, and their right hand anticlockwise. Someone facing outward has it the other way round. Write a small arrow beside each name the moment you learn which way they face, and read every “left of” or “right of” clue from that person’s own position.

Place the clues that fix a seat relative to someone already drawn first: “immediately to the left”, “second to the right”, “opposite”. Keep two drawings when a clue allows two places, and use the negative clues (“is not a neighbour of”) at the end to remove the extra drawings.

Tricks that save timeसमय बचाने वाली ट्रिक्स

All tricks →सभी ट्रिक्स →

Each trick says when to use it, why it works and when it fails. Formula tricks are checked by code over their whole range.हर ट्रिक बताती है कि उसे कब इस्तेमाल करें, वह क्यों काम करती है और कब नहीं। सूत्र वाली ट्रिक्स को कोड से उनकी पूरी रेंज पर जाँचा गया है।

Mental mathsमानसिक गणितRarely taughtकम सिखाई जाने वाली✓ Checked on 570 cases✓ 570 मामलों पर जाँची गई

Clockwise count + anticlockwise count = n − 2

Use it when:कब इस्तेमाल करें: A question asks how many people sit between two people in one direction around a circle of n.

Count the shorter way round (it is quicker).
If the question asks for the other direction, subtract from n − 2.

Exampleउदाहरण

Eight around a table; one person sits between A and B going anticlockwise. How many going clockwise?

→ 8 − 2 − 1 = 5.

Why it works, and when it failsयह क्यों काम करती है, और कब नहीं

Why:क्यों: Going round once from A back to A passes every other person exactly once. Everyone except A and B is between them on exactly one of the two sides, so the two counts add up to n − 2.

Limits:सीमाएँ: Each seat holds one person and every seat is filled. With empty chairs, count chairs instead of people.

Formulaसूत्र✓ Checked on 144 cases✓ 144 मामलों पर जाँची गई

Facing the centre, left means clockwise

Use it when:कब इस्तेमाल करें: Any round-table clue that says “to the left of” or “to the right of” a person.

Draw the table as seen from above.
Facing the centre: left = clockwise, right = anticlockwise.
Facing outward: swap them (left = anticlockwise).

Exampleउदाहरण

Six friends face the centre. A is second to the left of B. Where is A?

→ Start at B and move two seats clockwise.

Why it works, and when it failsयह क्यों काम करती है, और कब नहीं

Why:क्यों: A person facing the centre has the centre straight ahead; turning that direction a quarter-turn to their left gives the clockwise tangent of the circle at their seat (seen from above). Facing outward reverses the forward direction, so the left-hand side reverses too.

Limits:सीमाएँ: Only for drawings seen from above. If a book draws the table from below or mirrors it, the words “clockwise” and “anticlockwise” swap.

Solved examplesहल किए गए उदाहरण

Answers and full solutions are shown. Hide them to test yourself first.उत्तर और पूरे हल दिखाए गए हैं। पहले खुद को परखने के लिए इन्हें छिपाइए।

Example 1उदाहरण 1 · Circular seating (round table, facing in and out) · Easyआसान
At a team lunch in Lucknow, 6 friends (Harpreet, Priya, Arjun, Kabir, Rohan, Joseph) sit around a round table, all facing the centre. • Joseph is an immediate neighbour of Kabir. • Harpreet is an immediate neighbour of Rohan. • Kabir sits immediately to the right of Harpreet. • Priya sits immediately to the left of Rohan. Who sits opposite Harpreet?
1. Arjun
2. Joseph
3. Priya
4. Rohan
Answer:उत्तर: Arjun
1. The clues leave exactly one seating. Clockwise (seen from above) from Joseph: Joseph → Kabir → Harpreet → Rohan → Priya → Arjun.
2. Who sits opposite Harpreet? → Arjun.
Example 2उदाहरण 2 · Circular seating (round table, facing in and out) · Mediumमध्यम
At a Diwali dinner in Indore, 7 friends (Aarav, Lakshmi, Fatima, Meera, Aditya, Vihaan, Harpreet) sit around a round table, all facing the centre. • Aarav sits immediately to the left of Vihaan. • Aarav is an immediate neighbour of Aditya. • Aditya sits second to the right of Meera. • Harpreet sits second to the right of Lakshmi. Who sits immediately to the left of Meera?
1. Lakshmi
2. Vihaan
3. Fatima
4. Harpreet
Answer:उत्तर: Lakshmi
1. The clues leave exactly one seating. Clockwise (seen from above) from Fatima: Fatima → Vihaan → Aarav → Aditya → Harpreet → Meera → Lakshmi.
2. Meera faces the centre, so Meera’s left is clockwise (seen from above).
3. Who sits immediately to the left of Meera? → Lakshmi.
Example 3उदाहरण 3 · Circular seating (round table, facing in and out) · Hardकठिन
In a study circle in Jaipur, 6 friends (Rohan, Harpreet, Aarav, Kabir, Arjun, Priya) sit around a round table. Some face the centre and the rest face away from it. • Rohan is not an immediate neighbour of Arjun. • Priya is not an immediate neighbour of Kabir. • Aarav sits immediately to the left of Rohan. • Arjun sits immediately to the right of Kabir. • Aarav and Harpreet face the same direction. • Harpreet is an immediate neighbour of Arjun. • Kabir faces the centre. • Harpreet and Priya face opposite directions. • Rohan sits second to the right of Arjun. • Harpreet and Arjun face the same direction. Who sits immediately to the left of Priya?
1. Kabir
2. Aarav
3. Harpreet
4. Arjun
Answer:उत्तर: Harpreet
1. The clues leave exactly one seating. Clockwise (seen from above) from Rohan: Rohan (in) → Aarav (out) → Priya (in) → Harpreet (out) → Arjun (out) → Kabir (in).
2. Priya faces the centre, so Priya’s left is clockwise (seen from above).
3. Who sits immediately to the left of Priya? → Harpreet.
Example 4उदाहरण 4 · Circular seating (round table, facing in and out) · Mediumमध्यम
At a team lunch in Surat, 8 friends (Fatima, Rohan, Saanvi, Priya, Tenzin, Joseph, Aditya, Ananya) sit around a round table, all facing the centre. • Saanvi sits immediately to the right of Ananya. • Rohan sits immediately to the right of Priya. • Ananya sits second to the right of Joseph. • Aditya sits immediately to the right of Saanvi. • Rohan sits second to the right of Aditya. • Ananya is an immediate neighbour of Tenzin. Who sits opposite Tenzin?
1. Priya
2. Joseph
3. Rohan
4. Aditya
Answer:उत्तर: Priya
1. The clues leave exactly one seating. Clockwise (seen from above) from Ananya: Ananya → Tenzin → Joseph → Fatima → Rohan → Priya → Aditya → Saanvi.
2. Who sits opposite Tenzin? → Priya.
Example 5उदाहरण 5 · Circular seating (round table, facing in and out) · Mediumमध्यम
At a team lunch in Patna, 8 friends (Ananya, Harpreet, Isha, Aarav, Fatima, Meera, Rohan, Priya) sit around a round table, all facing the centre. • Aarav is an immediate neighbour of Isha. • Priya sits second to the left of Harpreet. • Meera sits opposite Isha. • Aarav sits immediately to the right of Fatima. • Priya sits third to the left of Meera. • Ananya sits immediately to the right of Meera. Who sits opposite Ananya?
1. Rohan
2. Meera
3. Isha
4. Priya
Answer:उत्तर: Priya
1. The clues leave exactly one seating. Clockwise (seen from above) from Aarav: Aarav → Fatima → Ananya → Meera → Harpreet → Rohan → Priya → Isha.
2. Who sits opposite Ananya? → Priya.
Example 6उदाहरण 6 · Circular seating (round table, facing in and out) · Mediumमध्यम
In a study circle in Bhopal, 7 friends (Kabir, Meera, Isha, Ananya, Saanvi, Priya, Aditya) sit around a round table, all facing the centre. • Kabir sits immediately to the left of Aditya. • Meera sits immediately to the left of Ananya. • Isha is an immediate neighbour of Saanvi. • Priya is not an immediate neighbour of Aditya. • Isha sits immediately to the left of Priya. • Kabir sits third to the right of Saanvi. Who sits third to the left of Priya?
1. Saanvi
2. Aditya
3. Meera
4. Ananya
Answer:उत्तर: Ananya
1. The clues leave exactly one seating. Clockwise (seen from above) from Isha: Isha → Saanvi → Ananya → Meera → Aditya → Kabir → Priya.
2. Priya faces the centre, so Priya’s left is clockwise (seen from above).
3. Who sits third to the left of Priya? → Ananya.

Common mistakesआम गलतियाँ

Using your own left and right instead of the seated person’s, especially for people facing outward.
Counting “how many sit between” the short way round when the question asks for a particular direction.
Fixing a second person’s seat as if it were the first, which quietly rules out valid seatings.

Frequently asked questionsअक्सर पूछे जाने वाले प्रश्न

Facing the centre, is left clockwise or anticlockwise?

Clockwise, when the table is drawn as seen from above. Stand at the bottom of the circle facing the middle and your left hand points to the left of the page, which is the clockwise direction from the bottom of a circle.

How do I find who sits opposite someone?

Only an even number of seats has an exact opposite. With n seats, count n/2 places in either direction from the person; both directions land on the same seat.

What changes when some people face outward?

Only their own left and right. A clue such as “A sits second to the left of B” is read from B, so check which way B faces before counting.