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.
How many speakers present between E and D?
Correct Answer :
Four
Solution :
The correct answer is Four.
Step-by-step Explanation:
Let us determine the sequence of the eight speakers across positions 1 through 8 from first to last.
1. Position of F:
There are 8 positions in total. It is given that exactly three speakers give their presentations after F.
Therefore, position of F = 8 - 3 = 5.
Current order: _ , _ , _ , _ , F , _ , _ , _
2. Position of E and C:
Two speakers present between F and E. Since F is at position 5, E can be at position 2 (5 - 3 = 2) or position 8 (5 + 3 = 8).
C presents immediately before E. If E were at position 8, C would be at position 7, which would not leave room for the required placement of A and G before F.
Thus, E is at position 2, and C is at position 1.
Current order: C , E , _ , _ , F , _ , _ , _
3. Position of H:
The number of speakers who present before C is equal to the number of speakers who present after H.
Since 0 speakers present before C (position 1), exactly 0 speakers must present after H.
Therefore, H is at position 8.
Current order: C , E , _ , _ , F , _ , _ , H
4. Positions of A and G:
A presents immediately before G, and both present before F.
The remaining positions before F (position 5) are 3 and 4.
Thus, A is at position 3 and G is at position 4.
Current order: C , E , A , G , F , _ , _ , H
5. Positions of B and D:
The remaining positions are 6 and 7.
B presents somewhere between F (5) and H (8), and D presents after B.
Therefore, B is at position 6 and D is at position 7.
Final Arrangement:
1: C
2: E
3: A
4: G
5: F
6: B
7: D
8: H
Calculating the number of speakers between E and D:
E is at position 2 and D is at position 7.
The speakers between E and D are A (position 3), G (position 4), F (position 5), and B (position 6).
Count of speakers = 7 - 2 - 1 = 4.
Therefore, there are Four speakers who present between E and D.
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