Q, R, S and T are sitting around a round table. Q is sitting next to R. S is sitting to the left of T. Q is not sitting next to T.
Which of the following statements is INCORRECT?
Round Table Seating Arrangement Analysis
The problem requires finding the incorrect statement about the seating arrangement of Q, R, S, and T around a round table based on given conditions.
Constraints Analysis
- Neighboring Pairs: Q is adjacent to R.
- Relative Positions: S is to the left of T (S is counter-clockwise relative to T).
- Non-Neighboring Pair: Q is not adjacent to T. In a 4-person circle, this means Q and T sit opposite each other.
Determining the Seating Order
- Q and T Opposite: From the constraint that Q is not next to T, Q and T must occupy opposite positions.
- Placing R: R must be next to Q. Since T is opposite Q, R must be in one of the two seats adjacent to Q.
- Two Possible Arrangements: Considering Q and T opposite, the clockwise order could be Q, R, T, S or Q, S, T, R.
- Checking "S is left of T":
- In the Q, R, T, S (clockwise) arrangement, T is followed clockwise by S. S is to the right of T, not the left. This arrangement is invalid.
- In the Q, S, T, R (clockwise) arrangement, T is preceded clockwise by S. S is to the left of T. This arrangement is valid.
- The confirmed clockwise seating order is Q, S, T, R.
Evaluating Statements
Based on the valid clockwise arrangement Q, S, T, R:
- Statement 1: S is facing R. In this arrangement, S is opposite T, and R is opposite Q. The pairs facing each other are (Q, T) and (S, R). Therefore, S is facing R. This statement is TRUE.
- Statement 2: Q is facing T. As established, Q and T are opposite each other. This statement is TRUE.
- Statement 3: Q is to the left of R. In the clockwise order Q, S, T, R, R is followed clockwise by Q. This means Q is to the right of R, not the left. This statement is FALSE.
- Statement 4: S is to the right of Q. In the clockwise order Q, S, T, R, S immediately follows Q. This means S is to the right of Q. This statement is TRUE.
The only statement found to be incorrect is "Q is to the left of R."
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Important Questions from Seating arrangement
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(i) C is seated next to A
(ii) A is seated two seats from D
(iii) B is not seated next to A
On the basis of above information, which of the following must be true?
1. D is seated next to B
2. E is seated next to A
3. D and C are separated by two seats
Select the correct answer using the code given below:
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