Analyze the given information thoroughly and answer the following question.
Eight students, A, B, C, D, E, F, G, and H, sit in a row such that some face North and others face South. No three consecutive students face the same direction. A sits at the extreme left end of the row. F sits second to the left of H, who faces North. Four students sit between B and G, and G faces North. D sits second to the right of B. C sits adjacent to B and faces South. E sits to the immediate right of F.
How many students sit between A and F?
Correct Answer :
Four
Solution :
The correct option is Four.
Let us analyze the given information step-by-step to determine the seating arrangement of the eight students (A, B, C, D, E, F, G, and H) sitting in a single row from left to right (positions 1 to 8):
Step 1: Determine the position of A.
It is given that A sits at the extreme left end of the row.
So, position 1 = A.
Row structure: [1: A, 2: _, 3: _, 4: _, 5: _, 6: _, 7: _, 8: _]
Step 2: Place B and G.
Four students sit between B and G, and G faces North.
Possible pairs of positions for (B, G) with 4 students between them:
• (2, 7) or (7, 2)
• (3, 8) or (8, 3)
We are given that C sits adjacent to B and faces South, and D sits second to the right of B.
If B were at position 2, D would sit second to the right/left of B. Since A is at position 1, D must be at position 4. If B faces North, second to the right is position 4. So D is at 4.
If B is at 2, G must be at 7.
Let us check: If B is at 2, C must be adjacent to B, so C must be at position 3 (since position 1 is A).
Now consider F, H, and E:
H faces North, and F sits second to the left of H.
E sits to the immediate right of F.
With positions 1=A, 2=B, 3=C, 4=D, 7=G occupied, the available positions are 5, 6, 8.
Since F sits second to the left of H, the distance between F and H is 2 positions. The available spots are 6 and 8. Thus, H is at position 8 and F is at position 6 (or vice versa).
Since H faces North, second to the left of position 8 is position 6, so F is at position 6.
E sits to the immediate right of F. This leaves position 5 for E.
Step 3: Verify the full arrangement:
Let us check all positions from 1 to 8:
1: A
2: B
3: C (facing South)
4: D
5: E
6: F
7: G (facing North)
8: H (facing North)
Let us count the number of students sitting between A (position 1) and F (position 6):
The students between position 1 and position 6 are at positions 2, 3, 4, and 5.
These students are B, C, D, and E, making a total of 4 students.
Therefore, 4 students (or Four) sit between A and F.
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