eight students A,B,C,D,E,F,G and H are sitting around a circular table for playing a game . Four of them A,B,E,F are not facing center.D is third to the left of H, who is forth to the right of E. A is third to right of B, who is third to the left of D . F is second to the left of C
what are the position of each member???
Answers
Given:
Eight students A, B, C, D, E, F, G, H are sitting around a table.
A, B, E, F are not facing the centre.
To find:
Position of each member.
Solution:
It is given that, A, B, E, F are not facing the centre. Hence, C, D, G, H are sitting facing towards the centre.
Place D anywhere on a circle facing towards the centre.
Now, H will be placed on the third position left of D and H is also facing towards the centre.
E will be placed fourth to the right of H and E is facing away from the centre.
B will be placed in the third position left of D and B is facing away from the centre.
A is placed in the third position right side of B and A also faces away from the centre.
Now, three positions are remaining where we have to place G, C and F. The positions on the left and right of B and the position between A and D.
F is placed in the second position left of C that means between C and F there is another student. Hence, C and F are placed on the left and right of B respectively with C facing towards the centre and F facing away from the centre.
Thus, G will be placed in the only remaining position, i.e., between A and D, facing towards the centre of the circle.
The positions are marked as shown in the figure below.
Moving in the clockwise direction, G sits at the topmost position of the table facing towards the centre with D on its left, also facing towards the centre. On the left of D, E sits next facing away from the centre. On the right-hand side of E, C sits next facing towards the centre. On the left side of C, B is sitting away from the centre. On the right side of B, F is sitting away from the centre. On its right side, H sits towards the centre. On the left of H, A sits away from the centre and on its right sits G.