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 is sitting opposite O?
Correct Answer :
E
Solution :
The correct answer is Option 1: E.
Step-by-Step Logical Deduction:
1. Understand the Setup:
There are 8 persons sitting around a circular table facing inward: A, B, P, C, D, O, Q, and E.
Vowels are: A, E, O.
Consonants are: B, C, D, P, Q.
Rule: Persons whose names start with a vowel (A, E, O) cannot sit adjacent to each other.
2. Analyze the Positions:
Let us number the positions 1 to 8 in a clockwise direction.
• "A sits 3rd to the right of D."
Let D be at position 1. Since everyone faces inward, right is counter-clockwise (or clockwise depending on numbering direction; let's count clockwise as right).
Position 1: D
Position 4: A (3rd to the right of D)
• "Two persons sit between P and A."
From position 4 (A), moving 3 steps in either direction gives position 1 or position 7.
Since position 1 is occupied by D, P must be at position 7.
• "B sits adjacent to O, who sits 4th to the right of E."
Since O sits 4th to the right of E in an 8-person circular table, O and E sit directly opposite to each other.
The available pairs of opposite seats are:
- (Position 2, Position 6)
- (Position 3, Position 7 - occupied by P)
- (Position 4 - occupied by A, Position 8)
- (Position 1 - occupied by D, Position 5)
So O and E must occupy positions 2 and 6.
Since vowels cannot be adjacent to each other:
A is at position 4, so vowels cannot sit at position 3 or position 5.
If O were at position 3 or 5, it would violate the vowel condition with A. But we established {O, E} are at positions 2 and 6.
At positions 2 and 6, neither is adjacent to position 4 (A). So both positions 2 and 6 are valid for vowels E and O.
• "Q sits 3rd to the left of O."
If O is at position 6, 3rd to the left (counter-clockwise) is position 3.
If O is at position 2, 3rd to the left is position 7 (which is already occupied by P).
Thus, O must be at position 6.
Consequently, E is at position 2 (opposite O).
Q is at position 3 (3rd to the left of O).
• "B sits adjacent to O."
O is at position 6. Its adjacent positions are 5 and 7.
Position 7 is occupied by P, so B must be at position 5.
• Placing the remaining person:
The remaining person C takes position 8.
Final Seating Arrangement (Clockwise from 1 to 8):
1: D
2: E
3: Q
4: A
5: B
6: O
7: P
8: C
Conclusion:
Position 6 is O, and directly opposite to O (position 2) is E.
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