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Question

Seven people, P, Q, R, S, T, U, and V, are sitting in a row facing north. Only one person sits to the left of P. S sits to the immediate right of P. Only two people sit between S and Q. R sits to the immediate left of V. Only Q sits between U and V. Who sits at the extreme right end of the row?

The correct answer is

U

Number the seats 1 to 7 from the left end. Everyone faces north, so each person's left and right are the same as ours. Only one person sits to the left of P, so P is in seat 2, and S, sitting to the immediate right of P, is in seat 3.

Only two people sit between S (seat 3) and Q. Seat 0 does not exist, so Q must be in seat 6 (seats 4 and 5 lie between them).

Only Q sits between U and V, so U and V occupy seats 5 and 7 in some order. R sits to the immediate left of V. If V were in seat 7, R would need seat 6, which Q already holds. So V is in seat 5, R is in seat 4 and U is in seat 7.

The only person left, T, takes the remaining seat 1.

Seat (left to right)1234567
PersonTPSRVQU

Therefore the person at the extreme right end (seat 7) is U.

Check: only T is left of P; S is immediately right of P; R and V sit between S and Q; R is immediately left of V; only Q sits between V (seat 5) and U (seat 7) – every condition holds.

Hence, U.

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Similar Questions

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Important Questions from Linear Arrangement

  1. Seven people, A, B, C, D, E, F and G, are sitting in a straight row facing the north. Only two people sit to the left of C. Only two people sit between A and B. B sits to the left of A. E is an immediate neighbour of A to the right. Only one person sits to the right of D. F is not an immediate neighbour of B. Who sits at the centre?

  2. P, Q, R and S are sitting on a bench and facing in the same direction. P sits next to Q but not next to R. S, who is sitting on the extreme right, does not sit next to either Q or R. How many of them each have two neighbors?

  3. Five friends Ram, Priya, Raunak, Aditya and Shyam are sitting in a row facing north. Raunak is to the right of Shyam and Priya is to the left of Shyam but to the right of Rama. Raunak is to the left of Aditya. Who is fourth from the left end?

  4. Harshita, Ishika, Jaya, Krishna and Lara are sitting on a bench. Jaya is in between Ishika and Lara. Harshita is to the right of Ishika. Kalyani is sitting on the extreme right. Kalyani is not next to Lara. Who is to the right of Harshita?

  5. Six people P, Q, R, S, T and U sit in a row, not necessarily in the same order. If two persons sit in between P and Q, and two persons sit in between T and U, then how many persons sit in between R and S?

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