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Question

Six colleagues Victor, Wendy, Xander, Yara, Zoe, and Aaron are sitting in a circle facing away from the center. Victor is sitting to the immediate right of Wendy. Yara is not sitting next to Victor. Zoe, who is sitting to the immediate left of Wendy, is also sitting to the immediate right of Aaron. Who is the immediate neighbour of both Xander and Wendy?

The correct answer is
Victor

This problem requires deducing the seating arrangement of six individuals in a circle based on specific positional clues.

Understanding Circle Seating Directions

For individuals sitting in a circle and facing away from the center:

  • The person's right corresponds to the clockwise direction along the circle.
  • The person's left corresponds to the counter-clockwise direction along the circle.

Arrangement Deduction Steps

We establish the clockwise order using the provided statements:

1. Establishing Initial Sequence (A, Z, W, V)

Clue 1: "Zoe... is also sitting to the immediate right of Aaron." This means Aaron is immediately counter-clockwise to Zoe. In clockwise order: A Z.

Clue 2: "Zoe, who is sitting to the immediate left of Wendy." This means Zoe is counter-clockwise to Wendy. In clockwise order: Z W.

Combining these gives the clockwise sequence: A Z W.

Clue 3: "Victor is sitting to the immediate right of Wendy." This means Victor is clockwise to Wendy. In clockwise order: W V.

Combining all clues so far, the partial clockwise sequence is: A Z W V.

2. Placing Xander and Yara

The six people are Aaron (A), Zoe (Z), Wendy (W), Victor (V), Xander (X), and Yara (Y).

The sequence A Z W V uses four positions. Two positions remain between Victor and Aaron to complete the circle.

The current arrangement looks like this clockwise: A, Z, W, V, [Pos 5], [Pos 6], where A is clockwise to [Pos 6].

Clue 4: "Yara is not sitting next to Victor."

Victor's neighbours are Wendy and the person in [Pos 5] (immediately clockwise to Victor).

Since Yara cannot be next to Victor, she cannot occupy [Pos 5].

Therefore, Xander must be in [Pos 5], and Yara must be in the remaining spot, [Pos 6].

The complete clockwise seating arrangement is: Aaron, Zoe, Wendy, Victor, Xander, Yara.

Identifying the Common Neighbour

The question asks to identify the person who is the immediate neighbour of both Xander and Wendy.

Based on the final arrangement (A Z W V X Y clockwise):

  • Wendy's neighbours are Zoe (counter-clockwise) and Victor (clockwise).
  • Xander's neighbours are Victor (counter-clockwise) and Yara (clockwise).

Comparing the neighbours, Victor is the common neighbour to both Xander and Wendy.

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Important Questions from Seating arrangement

  1. Seven people A, B, C, D, E, F and G are sitting around a circular table, facing the centre (but not necessarily in the same order). A is sitting second to the right of E. Only one person is sitting between D and A. B is sitting third to the right of G. F is an immediate neighbour of B. How many people are sitting between D and E when counted from the left of E?

  2. Seven people A, B, C, D, E, F, and G are sitting around a circular table, facing the center (but not necessarily in the same order). C is sitting to the immediate right of E. D is sitting third to the left of C. A is the immediate neighbor of B and C. F is not the immediate neighbor of E. What is the position of G with respect to A?

  3. P, Q, R, S, T, U, V and W are sitting around a circular table facing the centre (but not necessarily in the same order).

    P is sitting to the immediate right of V and third to the left of U.

    S is sitting fourth to the right of Q, who is not an immediate neighbour of P and T.

    Q is sitting to the second right of U.

    R is sitting to the immediate right of Q and second to the left of P.

    How many people are sitting between R and T when counted from the left of T?

  4. Rajan, Pragyan, Kamal, Sachin, Ashok, Narendra, and Laksh are sitting around a circular table, facing the centre (but not necessarily in the same order).

    Rajan sits 3rd to the right of Narendra. Kamal sits 2nd to the right of Rajan.

    Ashok is an immediate neighbour of Narendra. Pragyan sits to the immediate right of Sachin.

    Who is sitting 3rd to the left of Narendra?

  5. P got married 15 years ago. Today her age is 135 times her age at the time of her marriage. At present her son’s age is 1⁄5 of her age. What was her son’s age 4 years ago as a fraction of P’s age at that time?

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