Directions: Read the following information carefully and answer the questions that follow:
14 individuals are seated in two parallel rows containing seven people each. H, I, J, K, L, M, and N sit in Row 1 facing north, while T, U, V, W, X, Y, and Z sit in Row 2 facing south, but not necessarily in the same order. Each person in Row 1 directly faces a person in Row 2.
I sits at one of the extreme ends of Row 1. Three persons sit between I and J. The person facing J sits second to the right of V, who does not sit at any extreme end. Two persons sit between V and W, who faces H. Two persons sit between H and M. K sits to the immediate left of M. L sits to the left of N, and N does not sit adjacent to H. T sits at one of the extreme ends of Row 2. X sits third to the left of T. Y sits to the left of Z, and Y does not face N.
If the individuals in Row 1 are rearranged in alphabetical order from left to right, who among them will retain their original position?
Correct Answer :
Only J and K
Solution :
The correct answer is Only J and K.
Step 1: Analyze the layout and initial clues for Row 1.
There are 7 seats in each row. Row 1 faces North (Left = Position 1, Right = Position 7) and Row 2 faces South (Left = towards Position 7, Right = towards Position 1).
1. "I sits at one of the extreme ends of Row 1." Thus, I is at Position 1 or Position 7.
2. "Three persons sit between I and J." If I is at Position 1, J is at Position 5. If I is at Position 7, J is at Position 3.
3. "The person facing J sits second to the right of V, who does not sit at any extreme end."
- If J is at Position 5, the person facing J is at Position 5 in Row 2. Facing South, V would be second to the left of Position 5, placing V at Position 7. But V cannot sit at an extreme end. Hence, I cannot be at Position 1.
- Therefore, I is at Position 7 and J is at Position 3.
- The person facing J is at Position 3 in Row 2, which means V is at Position 5 in Row 2 (since Position 3 is second to the right of Position 5 when facing South).
Step 2: Determine the remaining positions in Row 1.
4. "Two persons sit between V and W, who faces H."
- Two seats between Position 5 (V) and W means W is at Position 2 in Row 2.
- W faces H, so H is at Position 2 in Row 1.
5. "Two persons sit between H and M."
- H is at Position 2, so M is at Position 5 in Row 1.
6. "K sits to the immediate left of M."
- K is at Position 4 in Row 1.
7. "L sits to the left of N, and N does not sit adjacent to H."
- Remaining seats in Row 1 are Position 1 and Position 6.
- Since N cannot sit adjacent to H (Position 2), N is at Position 6 and L is at Position 1.
Thus, the original arrangement of Row 1 from left to right (Position 1 to Position 7) is:
L - H - J - K - M - N - I
Step 3: Rearrange Row 1 in alphabetical order from left to right.
Arranging the individuals H, I, J, K, L, M, N alphabetically gives:
H - I - J - K - L - M - N
Step 4: Compare original positions with alphabetical positions:
- Position 1: Original = L, Alphabetical = H (Changed)
- Position 2: Original = H, Alphabetical = I (Changed)
- Position 3: Original = J, Alphabetical = J (Retains original position)
- Position 4: Original = K, Alphabetical = K (Retains original position)
- Position 5: Original = M, Alphabetical = L (Changed)
- Position 6: Original = N, Alphabetical = M (Changed)
- Position 7: Original = I, Alphabetical = N (Changed)
Therefore, only J and K retain their original positions.
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