Directions: Read the following information carefully and answer the questions that follow:
Nine persons—A, B, C, D, E, F, G, H, and I—sit around a circular table facing towards the center, but not necessarily in the same order. B sits third to the right of E. Two persons sit between E and H. D sits second to the left of B. A sits third to the right of D. I sits immediately between A and H. C sits immediately between B and D. F sits to the immediate right of G.
Four of the following five pairs are alike in a certain way based on the given seating arrangement and thus form a group. Which of the following does not belong to that group?
Correct Answer :
C, I
Solution :
The correct answer is C, I.
Step-by-step Seating Arrangement:
Let us place 9 positions numbered 1 to 9 in a clockwise direction around the circular table facing towards the center. When facing the center, moving clockwise corresponds to moving to the right, and moving counter-clockwise corresponds to moving to the left.
1. Positions of E and B:
Place E at position 1.
Since B sits third to the right of E, place B at position 4 (moving 3 steps clockwise from position 1).
2. Position of H:
Two persons sit between E and H. Going counter-clockwise from E (position 1) and skipping two positions (positions 9 and 8), place H at position 7.
3. Position of D:
D sits second to the left of B (position 4). Moving 2 steps counter-clockwise from B puts D at position 2.
4. Position of A:
A sits third to the right of D (position 2). Moving 3 steps clockwise from D puts A at position 5.
5. Position of I:
I sits immediately between A (position 5) and H (position 7). Therefore, I is placed at position 6.
6. Position of C:
C sits immediately between B (position 4) and D (position 2). Therefore, C is placed at position 3.
7. Positions of G and F:
The remaining vacant positions are 8 and 9. Since F sits to the immediate right (clockwise) of G, G is placed at position 8 and F is placed at position 9.
Final Seating Arrangement (Clockwise from Position 1):
1: E, 2: D, 3: C, 4: B, 5: A, 6: I, 7: H, 8: G, 9: F
Pattern Analysis of the Options:
Let us check the position of the second person relative to the first person in each pair:
- H, F: F is second to the right of H (1 person, G, sits between them).
- E, C: C is second to the right of E (1 person, D, sits between them).
- B, I: I is second to the right of B (1 person, A, sits between them).
- D, B: B is second to the right of D (1 person, C, sits between them).
- C, I: I is third to the right of C (2 persons, B and A, sit between them).
In all pairs except C, I, the second person sits second to the right of the first person. Therefore, C, I does not belong to the group.
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