Directions: Read the following information carefully and answer the question that follows.

Eight speakers — A, B, C, D, E, F, G, and H — deliver their presentations one after another in a seminar. Exactly three speakers give their presentations after F. Two speakers present between F and E. C presents immediately before E. The number of speakers who present before C is equal to the number of speakers who present after H. A presents immediately before G, and both present before F. B presents somewhere between F and H. D presents after B.

Four of the following five pairs are alike in a certain way based on the given order of presentations and thus form a group. Which of the following does not belong to that group?

The correct option is A-B.

Step-by-Step Explanation:

Let us determine the presentation order of the eight speakers (A, B, C, D, E, F, G, and H) from position 1 to position 8 based on the given clues:

1. Position of F: Exactly three speakers give their presentations after F. Therefore, F must be at position 5 (positions 6, 7, and 8 are after F).

2. Positions of E and C: Two speakers present between F and E. If E were at position 8, C (who presents immediately before E) would be at position 7, which would mean 6 speakers present before C and thus 6 after H (H at position 2). But that leaves no available position for B between F (5) and H (2). Therefore, E must be at position 2. Since C presents immediately before E, C is at position 1.

3. Position of H: The number of speakers who present before C (0 speakers) is equal to the number of speakers who present after H. Therefore, H must be at position 8.

4. Positions of A and G: A presents immediately before G, and both present before F (5). The remaining empty positions before position 5 are positions 3 and 4. Hence, A is at position 3 and G is at position 4.

5. Positions of B and D: B presents somewhere between F (5) and H (8), and D presents after B. The remaining positions are 6 and 7. Thus, B is at position 6 and D is at position 7.

Final Presentation Order:

1. C
2. E
3. A
4. G
5. F
6. B
7. D
8. H

Analyzing the Given Options:

Let us check the position gap between the speakers in each option:

• E-G: E is at position 2 and G is at position 4 (1 speaker between them).
• B-H: B is at position 6 and H is at position 8 (1 speaker between them).
• F-D: F is at position 5 and D is at position 7 (1 speaker between them).
• C-A: C is at position 1 and A is at position 3 (1 speaker between them).
• A-B: A is at position 3 and B is at position 6 (2 speakers between them).

In all options except A-B, there is exactly one speaker presenting between the pair of speakers. Hence, A-B does not belong to the group.