Directions: Read the given information carefully and answer the questions given below:
Seven individuals — A, B, C, D, E, F, and G — are seated around a circular table facing the centre. Each person hails from a different city: Delhi, Mumbai, Kolkata, Chennai, Hyderabad, Bengaluru, and Patna, though not necessarily in that order.
G sits third to the left of B, who is from Delhi. G belongs to Chennai. D, who is from Patna, sits third to the left of G. A, who is from Hyderabad, sits second to the right of D. E sits to the immediate left of A. The person from Bengaluru sits to the immediate left of A. F sits to the immediate left of B. The person from Mumbai is an immediate neighbour of C.
What is the position of the individual who hails from Mumbai relative to A?
Correct Answer :
Fourth to the left
Solution :
The correct answer is Fourth to the left.
Step-by-Step Explanation:
Let us arrange seven individuals (A, B, C, D, E, F, and G) around a circular table facing the centre across 7 positions numbered 1 to 7 in a clockwise direction. Facing the centre implies:
- Moving clockwise = moving to the left
- Moving counter-clockwise = moving to the right
Step 1: Determine the positions of B, G, and D
- Place B (from Delhi) at Position 1.
- G sits 3rd to the left (clockwise) of B. Starting from Position 1, three steps clockwise gives Position 4. Thus, G is at Position 4 and hails from Chennai.
- D (from Patna) sits 3rd to the left of G. Three steps clockwise from Position 4 gives Position 7. Thus, D is at Position 7.
Step 2: Determine the positions of A, E, and Bengaluru
- A (from Hyderabad) sits 2nd to the right (counter-clockwise) of D (Position 7). Two steps counter-clockwise from Position 7 gives Position 5. Thus, A is at Position 5.
- E sits to the immediate left (clockwise) of A (Position 5), placing E at Position 6.
- The person from Bengaluru sits to the immediate left of A. Since E is at Position 6, E is from Bengaluru.
Step 3: Determine the positions of F, C, and Mumbai
- F sits to the immediate left (clockwise) of B (Position 1), which places F at Position 2.
- The only vacant seat for a person is Position 3, which must be occupied by C.
- The person from Mumbai is an immediate neighbour of C (Position 3). The neighbours of C are Position 2 (F) and Position 4 (G). Since G is already from Chennai, F (at Position 2) must hail from Mumbai.
- The remaining city, Kolkata, is assigned to C (at Position 3).
Complete Circular Seating Order (Clockwise 1 to 7):
- Position 1: B (Delhi)
- Position 2: F (Mumbai)
- Position 3: C (Kolkata)
- Position 4: G (Chennai)
- Position 5: A (Hyderabad)
- Position 6: E (Bengaluru)
- Position 7: D (Patna)
Finding the position of the individual from Mumbai relative to A:
- The person from Mumbai is F at Position 2.
- Starting from A at Position 5 and counting to the left (clockwise):
1st left: Position 6 (E)
2nd left: Position 7 (D)
3rd left: Position 1 (B)
4th left: Position 2 (F — Mumbai)
Thus, the individual who hails from Mumbai sits fourth to the left of A.
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