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 among the following delivers their presentation exactly between B and H?
Correct Answer :
D
Solution :
The correct option is D.
Let us determine the order of presentation for the eight speakers (numbered 1 to 8 from first to last) step-by-step based on the given clues:
Step 1: Determine the position of F
It is given that exactly three speakers give their presentations after F. In an arrangement of 8 positions, the speakers presenting after F occupy positions 6, 7, and 8.
Therefore, F presents at Position 5.
Step 2: Determine the positions of E and C
Two speakers present between F and E. Since F is at position 5, E could present at position 2 or position 8.
C presents immediately before E.
- If E were at position 8, C would be at position 7. Then 6 speakers would present before C, requiring 6 speakers after H (making H position 2). However, this would leave insufficient adjacent slots before F for A and G.
- Therefore, E must present at Position 2, and C presents immediately before E at Position 1.
Step 3: Determine the position of H
The number of speakers who present before C (position 1) is 0.
Thus, the number of speakers who present after H must also be 0.
Hence, H presents at Position 8.
Step 4: Determine the positions of A and G
A presents immediately before G, and both present before F (position 5).
The remaining unoccupied positions before F are positions 3 and 4.
Therefore, A presents at Position 3 and G presents at Position 4.
Step 5: Determine the positions of B and D
The remaining open positions are 6 and 7.
B presents somewhere between F (position 5) and H (position 8), and D presents after B.
Therefore, B presents at Position 6 and D presents at Position 7.
Final Presentation Sequence:
Position 1: C
Position 2: E
Position 3: A
Position 4: G
Position 5: F
Position 6: B
Position 7: D
Position 8: H
As seen in the sequence, D (Position 7) delivers their presentation exactly between B (Position 6) and H (Position 8).
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