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.
Who gives their presentation four speakers after E?
Correct Answer :
B
Solution :
Correct Answer: B
Let us determine the order of presentation from the 1st to the 8th speaker step-by-step based on the given information:
1. Position of F:
Exactly three speakers give their presentations after F. Out of 8 total positions, F must be at the 5th position.
Current Order: _ , _ , _ , _ , F , _ , _ , _
2. Position of E and C:
Two speakers present between F and E. Since F is at the 5th position, E must be at either the 2nd position or the 8th position.
C presents immediately before E.
If E were at the 8th position, C would be at the 7th position. There would be 6 speakers before C, meaning there must be 6 speakers after H (making H the 2nd speaker). However, that configuration leaves no available space to place A, G, and B according to their rules.
Therefore, E must be at the 2nd position, and C is at the 1st position.
Current Order: C , E , _ , _ , F , _ , _ , _
3. Position of H:
The number of speakers before C is 0. Therefore, the number of speakers after H must also be 0. Thus, H is at the 8th position.
Current Order: C , E , _ , _ , F , _ , _ , H
4. Positions of A and G:
A presents immediately before G, and both present before F (5th position).
The available consecutive positions before F are the 3rd and 4th positions. Thus, A is 3rd and G is 4th.
Current Order: C , E , A , G , F , _ , _ , H
5. Positions of B and D:
B presents somewhere between F (5th) and H (8th). D presents after B.
This places B at the 6th position and D at the 7th position.
Final Order: C (1st) , E (2nd) , A (3rd) , G (4th) , F (5th) , B (6th) , D (7th) , H (8th)
To find who gives their presentation four speakers after E (who is at the 2nd position):
The speaker at the 6th position is B.
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