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Question

G, H, I, J, M, N and O are sitting around a circular table facing the centre of the table. O sits fourth to the left of J. I sits fourth to the right of N. Only two people sit between J and N when counted from the left of J. M is not an immediate neighbour of I or J. G is not an immediate neighbour of M. Who sits third to the right of H?

The correct answer is

G

All seven face the centre, so moving to a person’s left is clockwise and moving to the right is anticlockwise. Place J at position 0 and count positions clockwise (0 to 6).

Only two people sit between J and N counted from the left of J, so N is at position 3.

O sits fourth to the left of J, so O is at position 4.

I sits fourth to the right of N: 3 − 4 = −1, i.e. position 6.

Positions 1, 2 and 5 remain for G, H and M. M is not a neighbour of I (positions 5, 0) or J (positions 1, 6), so M is at position 2.

G is not a neighbour of M (positions 1, 3), so G is at position 5 and H is at position 1.

Third to the right of H (anticlockwise from position 1): 0 (J) → 6 (I) → 5 (G).

Hence, G.

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