Certain number of persons are sitting in a row facing north. M sits 4th to the right of S. Five persons sit between M and X. T sits at one of the positions left to S. The number of persons sitting between M and U are same as between S and T. Q is 2ndfrom one of the extreme ends. Four persons sit between S and U. No one sits to the right of N, who is immediate right to P. X is 3rd left to P. Not more than two persons sit between Q and U. How many persons are sitting between Q and M?
Question
Certain number of persons are sitting in a row facing north. M sits 4th to the right of S. Five persons sit between M and X. T sits at one of the positions left to S. The number of persons sitting between M and U are same as between S and T. Q is 2ndfrom one of the extreme ends. Four persons sit between S and U. No one sits to the right of N, who is immediate right to P. X is 3rd left to P. Not more than two persons sit between Q and U. How many persons are sitting between Q and M?
Solution 1
The question is a bit complex, so let's break it down step by step:
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"M sits 4th to the right of S." This means that there are three people between M and S, and M is to the right of S.
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"Five persons sit between M and X." This means that there are five people between M and X.
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"T sits at one of the positions left to S." This means that T is somewhere to the left of S.
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"The number of persons sitting between M and U are same as between S and T." This means that the number of people between M and U is the same as the number of people between S and T.
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"Q is 2nd from one of the extreme ends." This means that Q is either the second person from the left end or the second person from the right end.
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"Four persons sit between S and U." This means that there are four people between S and U.
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"No one sits to the right of N, who is immediate right to P." This means that N is the last person on the right, and P is the second last person on the right.
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"X is 3rd left to P." This means that X is three places to the left of P.
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"Not more than two persons sit between Q and U." This means that there are at most two people between Q and U.
Given these conditions, we can start to construct the seating arrangement. However, without knowing the total number of people, it's impossible to give a definitive answer. The question asks for the number of people between Q and M, but without more information, we can't provide an exact number.
Solution 2
The question is a bit complex, so let's break it down step by step:
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"M sits 4th to the right of S." This means that there are three people between M and S, and M is to the right of S.
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"Five persons sit between M and X." This means that there are five people between M and X.
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"T sits at one of the positions left to S." This means that T is somewhere to the left of S.
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"The number of persons sitting between M and U are same as between S and T." This means that the number of people between M and U is the same as the number of people between S and T.
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"Q is 2nd from one of the extreme ends." This means that Q is either the second person from the left end or the second person from the right end.
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"Four persons sit between S and U." This means that there are four people between S and U.
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"No one sits to the right of N, who is immediate right to P." This means that N is the last person on the right, and P is the second last person on the right.
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"X is 3rd left to P." This means that X is three places to the left of P.
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"Not more than two persons sit between Q and U." This means that there are at most two people between Q and U.
Given these conditions, we can start to arrange the people. We know that M is 4th to the right of S, and that there are five people between M and X. This gives us the following arrangement (with "_" representing an unknown person):
_S___M_____X
We also know that T is to the left of S, and that there are four people between S and U. This gives us:
T_S___M_____X___U
Since the number of people between M and U is the same as between S and T, and we know there are four people between M and U, there must also be four people between S and T. This gives us:
T____S___M_____X___U
We also know that N is the last person on the right, and P is the second last person on the right. Since X is three places to the left of P, this gives us:
T____S___M_____X_P_N
Finally, we know that Q is either the second person from the left end or the second person from the right end. Since the right end is already occupied by N and P, Q must be the second person from the left end. This gives us:
QT___S___M_____X_P_N
So, there are 3 people sitting between Q and M.
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