Six people L, M, N, P, Q and R are sitting around a circular table facing towards the centre of the table. There are exactly two people between P and N. M sits second to the right of N. R sits second to the right of M. L sits to the immediate left of N. Who is an immediate neighbour of both N and M?
Q
Six people face the centre, so each person's right hand side runs clockwise around the table.
Fix N at one seat. M sits second to the right of N, so moving two seats clockwise from N gives M.
R sits second to the right of M, so moving two seats clockwise from M gives R; this leaves one empty seat between N and M and one empty seat between M and R.
L sits to the immediate left of N, that is the seat anticlockwise next to N, which is the seat just before N (between R and N).
So going clockwise the order is N, (seat), M, (seat), R, L and back to N; the two empty seats are filled by P and Q.
There are exactly two people between P and N, which is satisfied only when P takes the seat between M and R, leaving Q in the seat between N and M.
The clockwise arrangement is N, Q, M, P, R, L. The neighbours of N are Q and L, and the neighbours of M are Q and P, so Q is common to both.
Hence, Q is the immediate neighbour of both N and M.
Similar Questions
A, B, C, D, E, F and G are sitting around a circular table, facing the centre. A is an immediate neighbour of both E and B. B sits third to the left of F. D sits to the immediate left of F. G is not an immediate neighbour of B.
How many people sit between C and G, when counted from the right of G?
Important Questions from Circular Arrangement
Seven friends, Subhi, Prince, Ketan, Vishal, Mahima, Krish and Naitik, are sitting around a circular table with their backs towards the centre. Subhi is sitting to the immediate right of Prince. Naitik and Krish are not sitting to the immediate left or right of Vishal. Vishal is sitting third to the left of Prince. Mahima is sitting to the immediate right of Vishal. Who is sitting third to the right of Prince?
Raghav, Manpreet, Sunaina, Prakrit, Vedika and Arwa are sitting around a circular table facing the centre. Raghav is second to the left of Prakrit. Manpreet is to the immediate left of Sunaina. Arwa is second to the right of Vedika. There are an equal number of persons between Raghav and Manpreet from both the ends. Who is sitting third to the left of Sunanina?
Five friends, Vishnu, Chirag, Raina, Kavya and Surbhi, are sitting around a circular table, facing the center. Vishnu is to the immediate right of Kavya. Chirag is third to the left of Kavya. Surbhi is not adjacent to Chirag. Who is second to the left of Kavya?
Six friends, David, Bhanu, Minto, Krita, John and Nisan, are sitting in a circle with their backs towards the centre. David and Minto are sitting to the immediate left and right of Bhanu, respectively. John is not sitting to the immediate left of David. Nisan is sitting third to the right of Bhanu. Who is sitting second to the left of Bhanu?
Eight friends, P, Q, R, S, T, U, V and W, are sitting in the same order anticlockwise around a circular table at equal distance between them, with all centre of the table. If Q is sitting in the south-east, then in which direction is W sitting?
