Which of the following statement is correct?
The problem asks to determine the correct statement among the given options based on a seating arrangement of eight friends around a circular table facing opposite to the center.
Deductive Steps for Seating Arrangement
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Analyze Initial Clues:
- Eight friends (P, Q, R, S, T, U, V, W) are around a circular table, facing opposite the center.
- "Q is third to the right of T": Since they face opposite, 'right' means clockwise. So, T is followed by two people, then Q (T _ _ Q clockwise).
- "Q is second to the left of P": Since they face opposite, 'left' means counter-clockwise. So, P is followed by one person, then Q (P _ Q counter-clockwise). This means Q is followed by one person, then P (Q _ P clockwise).
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Assign Positions:
- Let's number the seats 1 to 8 clockwise. Place Q at position 1.
- From "Q _ P clockwise", P is at position 1 + 2 = 3.
- From "T _ _ Q clockwise", T is 3 positions counter-clockwise from Q (position 1). Counter-clockwise positions from 1 are 8, 7, 6. So, T is at position 6.
- The arrangement so far (clockwise): Q(1), X(2), P(3), X(4), X(5), T(6), X(7), X(8).
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Place V and U:
- "V is not the neighbour of P or T": P is at 3 (neighbors 2, 4). T is at 6 (neighbors 5, 7). V cannot be at positions 2, 4, 5, or 7.
- The empty slots are 2, 4, 5, 7, 8. Given the restrictions, V must be at position 8.
- "Only two friends are sitting between U and V": With V at 8, we check positions 3 steps away. Clockwise: 8 -> 1 -> 2 -> 3 (P is here, not U). Counter-clockwise: 8 -> 7 -> 6 -> 5. Position 5 is empty.
- Placing U at 5 fits the condition (friends at 7 and 6 are between V and U).
- Current arrangement (clockwise): Q(1), X(2), P(3), X(4), U(5), T(6), X(7), V(8).
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Place W and R:
- "W is second to the right of R": This means R _ W clockwise.
- The remaining empty slots are 2, 4, 7.
- If R is at 2, then W is at 2 + 2 = 4. Both slots (2 and 4) are available.
- (Checking other possibilities: If R is at 7, W would be at 1, which is occupied by Q. Not possible).
- So, R is at 2 and W is at 4.
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Place S:
- The only remaining person is S, and the only empty slot is 7. So, S is at 7.
Final Seating Arrangement
The final clockwise seating arrangement is:
| Position | Friend |
|---|---|
| 1 | Q |
| 2 | R |
| 3 | P |
| 4 | W |
| 5 | U |
| 6 | T |
| 7 | S |
| 8 | V |
Evaluating the Statements
Based on the arrangement Q(1), R(2), P(3), W(4), U(5), T(6), S(7), V(8):
- 1. P is to the immediate left of R: R is at 2. Immediate left (counter-clockwise) is position 1 (Q). P is at 3. This is false.
- 2. S is to the immediate left of T: T is at 6. Immediate left is position 5 (U). S is at 7. This is false.
- 3. W is to the immediate right of Q: Q is at 1. Immediate right (clockwise) is position 2 (R). W is at 4. This is false.
- 4. V is to the immediate right of S: S is at 7. Immediate right (clockwise) is position 8 (V). This is true.
Therefore, the statement "V is to the immediate right of S" is correct.
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?
Seven persons P, Q, R, S, T, U and V are sitting around a circular table facing the center (not necessarily in the same order). T sits third to the right of R. V sits third to the right of Q. One person sits between P and T. P is not the neighbor of S. U sits third to the left of P. Who sits second to the left of S?
Akash, Binita, Chandan, Daksh, Ekta & Fatima are standing in a circle. Binita is between Daksh & Chandan. Akash is between Ekta & Chandan. Fatima is to the right of Daksh. Who is between Akash & Fatima?
Six friends A, B, C, D, E and F are sitting around a round table in such a way that A is between E and F, E is opposite to D, and C is not on either side of E. The person opposite to D is
