Practice Questions
Lane C — Arrangements & puzzles
Study step 23 of 26
40 MCQs ready
Read linear arrangement first.
Next topic in path →Concept Explanation
Circular-arrangement questions place people around a round table, usually facing the centre or facing outward. You use clockwise/anticlockwise neighbours, opposite seats, and “2nd to the right/left” counts to fix the full circle or answer who sits where.
Rules to remember
- Facing the centre: in most placement sets, “immediate right” means the next seat clockwise (each person’s right hand).
- Facing outward: left and right swap — immediate right becomes the anticlockwise seat.
- Opposite (even n): in n seats, opposite means n/2 steps away (e.g. in 8, seat 1 ↔ seat 5).
- Odd n: no seat is exactly opposite another.
- Between A and B (clockwise): count seats strictly on the clockwise arc, excluding A and B.
How to solve fast
- Fix one person at seat 1, then apply clockwise moves.
- Place “opposite” pairs first in even-sized circles.
- Convert “kth to the right/left” into a seat number before counting between.
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Q1 EasyIn a circle of 8 persons facing the centre, how many persons sit strictly between A and B when counted clockwise from A to B if A is at seat 1 and B is at seat 5?ExplanationSeats 2, 3 and 4 lie between — three persons.
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Q2 EasyFive persons sit around a round table facing the centre. Can any person sit exactly opposite A?ExplanationOdd seating count has no diametrically opposite seat.
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Q3 EasyFour persons A, B, C and D sit around a circle facing the centre. A sits opposite C. B is to the immediate right of A. Who is to the immediate left of C?ExplanationA at 1, C at 3, B at 2. Left of C is seat 4 → D.
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Q4 EasySeven persons sit around a circle facing the centre. A is 3rd to the right of B. How many persons sit strictly between B and A clockwise (excluding both)?ExplanationTwo persons occupy the 1st and 2nd seats clockwise from B before A.
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Q5 EasyIn a circle of 8 facing the centre, P is 4th to the right of Q. How many persons sit strictly between Q and P clockwise (excluding both)?ExplanationTwo persons sit between Q and the 4th seat clockwise from Q.
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Q6 EasySix persons sit around a circle facing the centre. How many persons sit strictly between A and its opposite (clockwise from A, excluding A and the opposite person)?ExplanationOpposite in 6 is three steps away; two seats lie strictly between on the clockwise arc.
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Q7 EasyFour persons W, X, Y and Z sit around a circle facing the centre. W is opposite Y. X is to the immediate right of W. Who is to the immediate left of Y?ExplanationW at 1, Y at 3, X at 2. Left of Y is seat 4 → Z.
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Q8 EasyThree persons A, B and C sit around a round table facing the centre. Who sits to the immediate right of A?ExplanationOnly the circular order is fixed; A’s right neighbour is either B or C.
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Q9 EasySeven persons face the centre. A is 4th to the right of B. How many persons sit strictly between B and A clockwise (excluding both)?ExplanationTwo persons sit on the clockwise path between B and the 4th seat from B.
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Q10 EasyFour persons face the centre. A is opposite B. C is to the immediate right of B. Who is to the immediate left of A?ExplanationB at 1, A at 3, C at 2. Left of A is seat 4 → D.
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Q11 EasyEight persons sit around a circle facing the centre. How many persons sit strictly between A and the person opposite A on the clockwise arc (excluding both)?ExplanationOpposite in 8 is four steps away; three seats lie strictly between on the clockwise arc.
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Q12 EasyEight persons face the centre. A is at seat 1 and C is opposite A. B is to the immediate right of A. Who sits opposite B?ExplanationA at 1, C at 5, B at 2. Opposite seat 2 is seat 6 → E.
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Q13 EasySix persons face the centre. A is 3rd to the right of B. How many persons sit strictly between B and A clockwise (excluding both)?ExplanationOne person sits on the clockwise path between B and the 3rd seat from B.
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Q14 EasyIn a circle of 6, A is at seat 1 and B is at seat 4. How many persons sit strictly between A and B clockwise (excluding both)?ExplanationSeats 2 and 3 lie between — two persons.
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Q15 EasyFour persons sit around a circle facing outward. A is opposite C. Who sits opposite C when all faced the centre instead?ExplanationOpposite seats do not change when everyone turns to face the centre; A remains opposite C.
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Q16 EasyEight persons face the centre. A is 3rd to the right of B. How many persons sit strictly between B and A clockwise (excluding both)?ExplanationOne person sits on the clockwise path between B and the 3rd seat from B.
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Q17 EasyIn a circle of 8, how many seats apart are a person and the person opposite them (minimum arc)?ExplanationOpposite persons are four seats apart in an 8-seat circle.
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Q18 EasyEight persons face the centre. Starting at A and moving clockwise, the 5th person is B. How many persons sit strictly between A and B clockwise (excluding both)?ExplanationThree persons occupy seats 2, 3 and 4 between A (1st) and B (5th).
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Q19 EasySix persons face the centre. How many distinct opposite-seat pairs are possible in the arrangement?ExplanationSix seats form three opposite pairs.
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Q20 MediumEight persons A, B, C, D, E, F, G and H sit around a circular table facing the centre (clockwise = each person’s right). A is 2nd to the right of B. C sits opposite A. Who sits opposite B?ExplanationB at seat 1 → A at 3. Opposite B is seat 5 → F.
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Q21 MediumSix persons A, B, C, D, E and F sit around a circle facing the centre. A is opposite D. B is to the immediate right of A. Who is to the immediate left of D?ExplanationA at 1, D at 4, B at 2. Immediate left of D is seat 3 → C.
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Q22 MediumEight persons sit around a circle facing outward. Compared with facing the centre, a person’s immediate right neighbour is now which seat?ExplanationFacing outward reverses left and right, so the right neighbour becomes the anticlockwise seat.
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Q23 MediumSix persons sit around a circle facing the centre. A is 2nd to the left of B. C is opposite A. Who sits opposite B?ExplanationB at 1, A at 5, C opposite A at 2. Opposite B (1) is seat 4 → D.
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Q24 MediumSix persons sit around a circle facing the centre. A is to the immediate right of F. B is opposite F. Who is to the immediate right of B?ExplanationF at 1, A at 2, B opposite at 4. Clockwise right of B (4) is seat 5 → D.
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Q25 MediumEight persons sit around a circle facing the centre. A and E are opposite. B sits on the clockwise arc between A and E closer to A with exactly one person between A and B. How many persons sit between A and B clockwise (excluding both)?ExplanationA at 1, E at 5. B is at seat 3 with seat 2 between A and B — one person.
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Q26 MediumIn a circle of 8, A is opposite D. B is to the immediate right of A. C is to the immediate right of B. Who sits opposite C?ExplanationA at 1, B at 2, C at 3. Opposite seat 3 is seat 7 → G.
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Q27 MediumSix persons A–F face the centre. A is opposite D. B sits strictly between A and D on the clockwise arc from A. Who sits opposite B?ExplanationA at 1, D at 4, B at 2 or 3. Strictly between on clockwise arc from 1 to 4: seats 2 and 3 — B at 2. Opposite 2 is 5 → E.
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Q28 MediumSix persons face the centre. P is opposite Q. R is to the immediate right of P. S is to the immediate left of Q. How many persons sit strictly between R and S clockwise from R (excluding both)?ExplanationP at 1, Q at 4, R at 2, S at 3. R and S are adjacent — none between.
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Q29 MediumFive persons A–E face the centre in some order. B is to the immediate right of A. C is to the immediate right of B. Who is to the immediate right of C?ExplanationA–B–C occupy three consecutive clockwise seats; the right neighbour of C is whichever of D or E fills the next seat.
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Q30 MediumEight persons face the centre. A is opposite E. B is midway between A and E on the clockwise arc (exactly one person between A and B and between B and E). Who is opposite B?ExplanationA at 1, E at 5, B at 3 with one between A–B and B–E. Opposite 3 is 7 → F.
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Q31 MediumSix persons sit around a circle facing the centre. A is opposite B. C is to the immediate right of A. D is to the immediate right of B. Who sits opposite C?ExplanationA at 1, B at 4, C at 2, D at 5. Opposite C (2) is 5 → D.
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Q32 MediumFour persons face the centre. A is to the immediate right of D. B is opposite D. Who is to the immediate left of B?ExplanationD at 1, A at 2, B opposite at 3. Left of B is seat 4 → C.
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Q33 HardEight persons face the centre. A is opposite E. B is 2nd to the left of A. Who sits opposite B?ExplanationA at 1, E at 5. B is 2nd to the left at seat 7. Opposite seat 7 is seat 3 → C.
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Q34 HardSix persons A–F sit around a circle facing the centre. C is opposite F. A is between C and B when moving clockwise from C to B. Who sits opposite A?ExplanationC at 1, F at 4, clockwise C–A–B → A at 2, B at 3. Opposite A (2) is seat 5 → D.
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Q35 HardSix friends sit around a round table facing the centre. A is opposite C. B is to the immediate right of C. D is opposite B. Who is to the immediate right of A?ExplanationC at 1, A at 4, B at 2, D opposite B at 5. Clockwise right of A (4) is seat 5 → D.
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Q36 HardEight persons A–H face the centre. D is 2nd to the right of A. G is opposite D. B is 2nd to the left of G. Who sits opposite A?ExplanationA at 1, D at 3, G at 7, B at 5. Opposite A is seat 5 → B.
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Q37 HardEight persons face the centre. B is 2nd to the right of A. C is opposite A. D is to the immediate left of C. Who is 2nd to the right of D?ExplanationA at 1, B at 3, C at 5, D at 4. Second clockwise from D (4) lands on seat 6 → F.
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Q38 HardEight persons A–H face the centre. E is 2nd to the right of C. F is opposite E. G is to the immediate left of F. Who is 2nd to the right of G?ExplanationC at 1, E at 3, F opposite at 7, G left of F at 6. Second right of G (6) → seats 7,8 → 2nd is 8 → H.
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Q39 HardEight persons face the centre. A is 2nd to the right of H. B is opposite A. C is 2nd to the left of B. Who sits opposite H?ExplanationH at 1, A at 3, B opposite at 7, C 2nd left of B at 5. Opposite H (1) is 5 → C.
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Q40 HardSix persons face the centre. D is opposite A. B is to the immediate right of D. C is not adjacent to A. Who is to the immediate left of A?ExplanationA at 1, D at 4, B at 5. C cannot be at seat 2 or 6. Immediate left of A is seat 6 → F.