Read the following information and answer the following questions.
Eight persons whose names begin with A, B, P, C, D, O, Q, and E are sitting around a circular table facing inward. Persons, whose names start with a vowel, do not sit adjacent to each other.
A sits 3rd to the right of D. Two persons sit between P and A. B sits adjacent to O, who sits 4th to the right of E. Q sits 3rd to the left of O.
Who sits 2nd to the right of B?
Correct Answer :
P
Solution :
The correct answer is P.
Let us solve the seating arrangement step-by-step based on the given information.
1. Analyze the given details:
- Total persons = 8 (A, B, P, C, D, O, Q, E)
- All 8 persons are sitting around a circular table facing inward (towards the center).
- Persons whose names start with a vowel (A, E, O) do not sit adjacent to each other.
- Consonants are B, C, D, P, Q.
2. Step-by-Step Seating Deduction:
Step A: Position D and A
- "A sits 3rd to the right of D."
Let us fix D at Position 1.
Since everyone faces inward, moving clockwise corresponds to left and counter-clockwise to right (or vice versa, let's keep right as counter-clockwise):
- Position 1: D
- Position 4 (3rd to the right of D): A
Step B: Position P
- "Two persons sit between P and A."
Since there are 8 positions, 2 persons between P and A means P can be either 3 positions to the left of A or 3 positions to the right of A.
- Position 4 is A.
- 3 positions to the left of A: Position 1 (which is already occupied by D).
- 3 positions to the right of A: Position 7.
So, P must be at Position 7.
Step C: Position E, O, and Q
- "O sits 4th to the right of E." In an 8-person circular table, 4th to the right is directly opposite.
Therefore, E and O are placed directly opposite to each other.
- "Q sits 3rd to the left of O."
- "B sits adjacent to O."
- "Persons whose names start with a vowel (A, E, O) do not sit adjacent to each other."
Vowels are A, E, O. Currently, A is at Position 4, so vowels (E or O) cannot sit at Position 3 or Position 5.
Available positions for (E, O) opposite pair:
- (Pos 2, Pos 6) or (Pos 3, Pos 7 - taken by P) or (Pos 5, Pos 1 - taken by D).
Thus, E and O must occupy Position 2 and Position 6.
Since A is at Position 4, Position 3 and Position 5 are adjacent to A. Position 7 is P, so Position 6 is adjacent to P and Position 8.
Let's test E at Pos 2 and O at Pos 6:
- If O is at Pos 6, then Q sits 3rd to the left of O. 3rd to the left of Pos 6 is Pos 3.
- If E is at Pos 2 and O is at Pos 6, vowels A (Pos 4), E (Pos 2), O (Pos 6) are separated by consonants at Pos 3, 5, 7, 1, 8. None of the vowels are adjacent!
So:
- Position 2: E
- Position 6: O
- Position 3: Q (3rd to the left of O)
Step D: Position B and C
- "B sits adjacent to O."
The neighbors of Position 6 (O) are Position 5 and Position 7.
Position 7 is occupied by P, so B must sit at Position 5.
- The remaining position is Position 8, which must be occupied by C.
3. Complete Circular Seating Order (Clockwise / Counter-Clockwise):
- Position 1: D
- Position 2: E
- Position 3: Q
- Position 4: A
- Position 5: B
- Position 6: O
- Position 7: P
- Position 8: C
4. Finding the answer to the question:
We need to find who sits 2nd to the right of B.
- B is at Position 5.
- 1st to the right of B is Position 6 (O).
- 2nd to the right of B is Position 7 (P).
Therefore, P sits 2nd to the right of B.
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