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Rectangular Arrangement Facing Outside

Seating Arrangement - Concepts

Linear Arrangement

Parallel Linear Arrangement

Linear Arrangement - Opposite Direction

Circular Arrangement Facing Centre

Circular Arrangement Facing Outside

Circular Arrangement Facing Centre and Outside

Rectangular Arrangement Facing Centre

Rectangular Arrangement Facing Outside

Rectangular Arrangement Facing Centre and Outside

Triangular Arrangement - Facing Centre

Triangular Arrangement - Facing Outside

Triangular Arrangement - Facing Centre and Outside

Class - 9th IMO Subjects

Concept Explanation

Rectangular Arrangement Facing Outside

Seating Arrangement: Arrangement is the positioning of things, persons, etc. in a particular order. Seating arrangement is the manner in which people are arranged to sit around a table, in a row etc.

Rectangular Arrangement - Facing Outside: In a rectangular arrangement, persons are arranged around a rectangular or a square table, according to certain conditions.Here we are discussing the arrangement in which all the people are sitting around a rectangular or a square table facing outside or opposite to the centre of the table, or certain objects placed in a rectangular or a square order with their faces opposite to the centre. In rectangular or a square arrangement when the persons are facing opposite to centre Right means Clockwise Direction and Left means Anti-Clockwise Direction

Illustration: Eight persons-P, Q, R, S, T, U, V, and W are sitting in the square table facing outside. Four persons are sitting in the middle of the table while four persons are sitting at the corner of the table.

T sits at the corner of the table. U sits opposite to T. P and U are sitting adjacent to each other. Q sits at the corner of the table but not adjacent to P. W sits adjacent to neither T nor U. Two persons are sitting between S and W. S sits adjacent to either T or P. R sits second to the left of S. V is not an immediate neighbour of W.

Question: Who among the following person sits third to the right of T?

A. V B.The one who sits immediate right of Q

C.The one who sits immediate left of U D.The one who sits third to the left of W

E.All of the above

Answer: A

Solution: According to the first statement it is given that T sits at the corner of the table. U sits opposite to T, They are shown in the figure I

Figure I

P and U are sitting adjacent to each other. There are two possibilities that either P is sitting to the left of U or P is sitting to the right of U. They are shown in Figure II and III

Figure II

Figure III

In the next statement it is given Q sits at the corner of the table but not adjacent to P. So according to the figure II the possibility is shown in Figure IV and according to Figure III the possibility is shown in Figure V

Figure IV

Figure V

In the next statement it is given that W sits adjacent to neither T nor U. So according to the figure IV the possibility is shown in Figure VI and according to Figure V the possibility is shown in Figure VII.

Figure VI

Figure VII

In the next statement it is given that Two persons are sitting between S and W. S sits adjacent to either T or P. So according to the figure VI the possibility is shown in Figure VIII and according to Figure VII the possibility is shown in Figure IX.

Figure VIII

Figure IX

In the next statement it is given R sits second to the left of S. So according to the figure VIII the possibility is shown in Figure X and according to Figure IX the possibility is shown in Figure XI.

Figure X

Figure XI

In the next statement it is given that V is not an immediate neighbour of W but in figure X the only place vacant where V can be placed is immediate to W so it is eliminated and Hence on placing V in figure XI we get

So, according to the figure we see that V sits third right to T . Hence the correct option is A.

Sample Questions

(More Questions for each concept available in Login)

Question : 1

L, M, N, O, P, Q, R and S are sitting around a rectangular table facing outside the centre but not necessarily in the same order. They all are having discussion on an important topic.N is an immediate neighbor of both L and R, who is an immediate neighbour of P. P sits second to the left of N. Only two persons sit between P and S. M is an immediate neighbor of O. Only one person sits between M and Q.Q sits at one of the corner. What is the position of O with respect to S in the above arrangement?
A. Second to the left	B. Third to the left	C. Immediate left	D. Second to the right
Right Option : A
View Explanation

Question : 2

G, K,M, N, R,S,T and V are sitting around a rectangular table facing outside the centre but not necessarily in the same order. S is sitting between M and G. T is third to the right of S, who is immediate left of M. V sits opposite to S and sitting between T and K. There is one person sitting between K and G. R is the immediate neighbour of T. Who is the immediate right of M?
A. R	B. L	C. T	D. G
Right Option : A
View Explanation

Question : 3

Eight students Aadvik, Tanish, Jiral, Vaibhav, Yashith, Bhavin, Rithwik and Kiansh sit in a square table. Four persons sit in each corners of the table and four persons sit in each sides of the table but not necessarily in the same order. All are facing outside. Aadvik isimmediate neighbor of Kiansh. Bhavin does not sit third to the left of Tanish who doesn’t sit at the corner. Bhavin sits fourth to the right of Yashith. There are three persons sit between Tanish and Jiral. Jiral sits third to the left of Vaibhav. One person sits between Jiral and Kiansh. Rithwik and Kiansh are not immediate neighbors. Tanish is related to Kiansh in certain way, Bhavin is related to Aadvik then in the same way Jiral is related to which among the following?
A. Rithwik	B. Tanish	C. Vaibhav	D. Bhavin
Right Option : A
View Explanation