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Eight persons- P, Q, R, S, T, U, V and W - are sitting around a square table in such Question : way that four of them sit at four corners of the square while other four sit in the middle of each of the four sides. P, Q, R and S are facing towards the centre of table while T, U, V and W are facing outside. The ones who sit at the four corners face towards the centre while those who sit in the middle of the sides face outside. Each one of them has different legislative post viz, Defence Secretary, Finance Minister, Home Minister, Foreign Minister, HRD Minister, Education Minister, Prime Minister and Leader of Opposition but not necessarily in the same order. W is the second to the right of the Leader of Opposition. The Leader of Opposition is facing outside. T is the third to the left of Finance Minister. Finance Minister is not the immediate neighbour of W or Defence Secretary. R is not the Prime Minister and he is not the immediate neighbour of HRD Minister. U is to the immediate left of Prime Minister. Prime Minister is not the immediate neighbour of Defence Secretary. Home Minister and Foreign Minister are immediate neighbours of each other. Foreign Minister is not the immediate neighbour of the Leader of Opposition. There is only one person between Home Minister and S. V is Education Minister and he is not the immediate neighbour of P. S is not the Prime Minister.
What is the position of the Leader of Opposition with respect to the Prime Minister ?
P, Q, R and S are facing towards the center.
T, U, V and W are facing away from the center.
Note that in this question, any 2 adjacent persons are going to be facing in opposite directions.
W is sitting second to the right of The leader of Opposition. This means the leader of opposition must be facing away from the center (as W is facing away from the center).
T is third to the left of Finance Minister, which Means Finance Minister is facing towards the center (as T is facing away from the center and Finance minister is sitting third to the right of him).
Now Finance Minister is not an immediate neighbor of T, hence the arrangement becomes :-
Since U is sitting to the immediate left of Prime Minister, Prime Minister must be facing towards the center (As U is facing away from the center).
(This is the only possible place for U to be facing outwards with Prime Minister being on his left)
V is the Education minister.
Now Home Minister and Foreign Ministers are immediate neighbors. Also Foreign Minister is not an immediate neighbor of Leader of Opposition.
Only one person is sitting between Home Minister and S.
Now, since Prime Minister is not an immediate neighbor of Defense Secretory, S has to be the Defense Secretory. Thus, U is the HRD minister.
Now, neither R, nor S is the Prime Minister. So R has to be the Home Minister. Since P is not the neighbor of V, P has to be Prime Minister and Q has to be Finance Minister.
Hence R is the Home Minister.
Hence the Final Arrangement is :-
The Leader of Opposition is sitting third to the right of the Prime Minister.
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