P, Q, R, S, T, V, W, Y and Z are sitting around a circle facing the centre. Z is second to the right of R, who is fourth to the right of P. S is sitting between R and Z. S is third to the left of Q. V is the second to the left of P, who is between of W and Q. Y is sitting between R and T. Who is second to the right of Z?
Understanding the Circular Arrangement Problem
This problem involves nine people (P, Q, R, S, T, V, W, Y, Z) sitting around a circle, all facing the centre. We need to determine their exact positions based on the given clues to find out who is sitting second to the right of Z.
Decoding the Clues Step-by-Step
Let's break down the clues and build the arrangement step-by-step:
- There are 9 positions in the circle. We can number them 1 to 9 clockwise. Since everyone is facing the centre, 'right' refers to the clockwise direction and 'left' refers to the anti-clockwise direction.
- Clue 1 & 3: "Z is second to the right of R" means R is followed by one person, then Z (R _ Z). "S is sitting between R and Z" means S must be immediately between them. Together, these clues imply the sequence R S Z must appear consecutively in the clockwise direction.
- Clue 2: "R is fourth to the right of P". Let's place P at position 1. Counting four positions clockwise from P gives us position 5 (P at 1, position 2, position 3, position 4, R at 5).
- Combining these deductions: If P is at position 1 and R is at position 5, and we know the sequence R S Z occurs, then S must be at position 6, and Z must be at position 7. Current Arrangement: P _ _ _ R S Z _ _ (Positions 1, 5, 6, 7 are filled)
- Clue 5: "V is the second to the left of P". P is at position 1. The first position to the left (anti-clockwise) is position 9. The second position to the left is position 8. So, V is at position 8. Current Arrangement: P _ _ _ R S Z V _ (Positions 1, 5, 6, 7, 8 are filled)
- Clue 6: "P is between W and Q". P is at position 1. The two positions adjacent to P are position 9 (anti-clockwise) and position 2 (clockwise). Therefore, W and Q must be occupying positions 2 and 9.
- Clue 4: "S is third to the left of Q". We know S is at position 6. Let's test the two possibilities for W and Q:
- Possibility 1: If Q is at position 2. Counting three positions left (anti-clockwise) from Q(2): 1st left is P(1), 2nd left is position 9, 3rd left is position 8 (where V is). This does not match S(6).
- Possibility 2: If Q is at position 9. Counting three positions left (anti-clockwise) from Q(9): 1st left is V(8), 2nd left is Z(7), 3rd left is S(6). This perfectly matches the position of S!
- The remaining empty positions are 3 and 4. The people left to be seated are T and Y.
- Clue 7: "Y is sitting between R and T". R is at position 5. The neighbours of R are S (at position 6) and the person at position 4. Since S is already placed at 6, Y cannot be there. Thus, Y must be at position 4. If Y is between R(5) and T, and Y is at 4, then T must be at position 3. Final Arrangement: P W T Y R S Z V Q (All positions 1 through 9 are filled)
Visualizing the Final Seating Arrangement
The complete seating arrangement in clockwise order, starting from P, is:
| Position | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
|---|---|---|---|---|---|---|---|---|---|
| Person | P | W | T | Y | R | S | Z | V | Q |
This arrangement satisfies all the given conditions.
Deriving the Answer: Who is Second to the Right of Z?
The question asks to identify the person who is second to the right of Z.
- Locate Z in the final arrangement. Z is at position 7.
- Identify the person immediately to the right of Z (1st to the right). This is the person at position 8, which is V.
- Identify the person second to the right of Z. This is the person at position 9.
- The person at position 9 is Q.
Therefore, Q is second to the right of Z.
Similar Questions
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Important Questions from Circular Arrangement
Eight students A, B, C, D, E, F, G and Hsit around a circular table, equidistant from each other, facing the centre of the table, not necessarily in the same order. Band Dsit neither adjacent to Cnor opposite to C. Asits in between Eand D, and Fsits in between Band H. Which one of the following is definitely correct?
Six persons A, B, C, D, E and Fare sitting equidistant from each other around a circular table (facing the centre of the table).
Consider the Question and two Statements given below :
Question : Who is sitting on the immediate left of A?
Statement-1 : Bis sitting opposite to Cand Dis sitting opposite to E.
Statement-2 : Fis sitting on the immediate left of B.
Which one of the following is correct in respect of the Question and the Statements?
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