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Question

A, B, C, D, P, Q and R are sitting around a circular table facing the centre of the table. A sits to the immediate left of R. B sits to the immediate left of D. D sits second to the left of Q. P sits third to the left of R. Who sits fourth to the right of C?

The correct answer is
Q

Solving the Circular Table Seating Arrangement Puzzle

This problem requires us to figure out the arrangement of people around a circular table based on given clues and then identify who is fourth to the right of a specific person, C.

Understanding the Setup and Clues

We have 7 people (A, B, C, D, P, Q, R) sitting around a circular table, all facing the center. This means their left and right are relative to their own perspective.

Let's break down the given clues:

  • Clue 1: A sits to the immediate left of R.
  • Clue 2: B sits to the immediate left of D.
  • Clue 3: D sits second to the left of Q.
  • Clue 4: P sits third to the left of R.

Important Note: Since they face the center, "left" refers to the clockwise direction and "right" refers to the counter-clockwise direction from the perspective of the person sitting.

Step-by-Step Arrangement Process

We can visualize 7 seats around the table, numbered 1 to 7 clockwise. Let's place people based on the clues.

Step 1: Placing R, A, and P

Let's start by placing R at an arbitrary seat, say Seat 1.

  • According to Clue 1, A is to the immediate left (clockwise) of R. So, A is in Seat 2.
  • According to Clue 4, P is third to the left (clockwise) of R. Counting clockwise from R (Seat 1): Seat 2 (occupied by A), Seat 3, Seat 4. So, P is in Seat 4.

Our current partial arrangement looks like this (clockwise): R (1), A (2), __ (3), P (4), __ (5), __ (6), __ (7).

Step 2: Placing Q, D, and B

Now let's use the clues involving Q and D.

  • Clue 3 states D is second to the left (clockwise) of Q. This means there's one person between Q and D in the clockwise direction (Q -> Person X -> D).
  • Clue 2 states B is to the immediate left (clockwise) of D. So, the order is D -> B clockwise.

We need to fit Q, D, and B into the remaining seats (3, 5, 6, 7). Let's test placing D:

  • If D is in Seat 3: Then B must be in Seat 4 (Clue 2). But Seat 4 is occupied by P. This doesn't work.
  • If D is in Seat 5: Then B must be in Seat 6 (Clue 2). Now let's check Clue 3. If D is in Seat 5, then Q must be in Seat 3 (because Seat 3 -> Seat 4 (P) -> Seat 5 (D)). This arrangement fits!

So, we place Q in Seat 3, D in Seat 5, and B in Seat 6.

The arrangement is now: R (1), A (2), Q (3), P (4), D (5), B (6).

Step 3: Placing C and Finalizing

Only C and Seat 7 are left.

  • Therefore, C must be in Seat 7.

The complete seating arrangement in clockwise order is: R, A, Q, P, D, B, C.

Finding the Person Fourth to the Right of C

We need to find who is fourth to the right (counter-clockwise) of C.

C is in Seat 7.

  • 1st person to the right of C: B (Seat 6)
  • 2nd person to the right of C: D (Seat 5)
  • 3rd person to the right of C: P (Seat 4)
  • 4th person to the right of C: Q (Seat 3)

Final Answer

Based on the deduction, Q is the person sitting fourth to the right of C.

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Important Questions from Seating Arrangement (Notes)

  1. Read the directions carefully and give the answer from the given options. 

    P, Q, R, S, T, K, L, M and N are sitting around a circle facing the centre. 

    K is $4^{th}$ to the right of P and P is $3^{rd}$ to the right of Q. 

    N is $4^{th}$ to the left of Q and $3^{rd}$ to the right of S. 

    R is $2^{nd}$ to the right of M and M is the immediate neighbour of P. 

    T is $2^{nd}$ to the left of L. 

    Who is to the immediate left of K?

  2. Seven people, F, J, M, L, R, V and X, are sitting in a row, facing north.
    Only three people sit to the left of X. Only M sits to the right of R. Only three people sit between R and V. J sits at some place to the left of L but at some place to the right of F.
    How many people sit to the left of V?

  3. Seven boxes, A, B, C, D, E, F and G, are kept one over the other but not necessarily in the same order. Only A is kept above F. Only D is kept between F and C. Only E is kept below B. How many boxes are kept below C?

  4. P, Q, R, S, T, U and V are sitting in a row, facing north. No one sits to the left of U. Only four people sit between U and R. Only three people sit to the right of V. P sits to the immediate left of S. Q is not an immediate neighbour of V. How many people sit between P and T?

  5. Six people, B, C, D, I, J and K, are sitting around a circular table facing the centre. Only two people sit between B and I when counted from the right of I. K sits to the immediate left of J. I sits to the immediate right of C. Who among the following are the immediate neighbours of D?

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