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.

Which of the following statements is/are true?
I. X faces M
II. Two persons sit between K and I
III. T sits at one of the extreme ends

The correct option is Only II and III.

Step-by-step Explanation:

There are 14 individuals seated in two parallel rows facing each other:
• Row 1 (Facing North): H, I, J, K, L, M, N (Left-to-Right positions 1 to 7)
• Row 2 (Facing South): T, U, V, W, X, Y, Z (Left-to-Right positions 1 to 7)

Step 1: Determine the positions of I, J, and V
1. I sits at one of the extreme ends of Row 1. Therefore, I can be at position 1 or position 7.
2. Three persons sit between I and J.
- If I is at position 1, J must be at position 5.
- If I is at position 7, J must be at position 3.
3. The person facing J sits second to the right of V (since Row 2 faces South, "right" refers to the direction towards position 1).
- If J is at position 5, the person facing J is at position 5 of Row 2. This implies V must be at position 7. However, V does not sit at any extreme end. Thus, this case is invalid.
- If J is at position 3, the person facing J is at position 3 of Row 2. Therefore, V must be at position 5 (since position 3 is 2nd to the right of position 5). This is valid as position 5 is not an extreme end.

So, in Row 1: J is at position 3 and I is at position 7.
In Row 2: V is at position 5.

Step 2: Determine the positions of W, H, M, K, L, and N
1. Two persons sit between V and W. Since V is at position 5, W must be at position 2 of Row 2.
2. W faces H, so H is at position 2 of Row 1.
3. Two persons sit between H and M. Since H is at position 2, M must be at position 5 of Row 1.
4. K sits to the immediate left of M (facing North), so K is at position 4 of Row 1.
5. L sits to the left of N, and N does not sit adjacent to H (position 2). The remaining positions in Row 1 are positions 1 and 6. Therefore, L is at position 1 and N is at position 6.

Row 1 Final Seating (Positions 1 to 7):
L (1), H (2), J (3), K (4), M (5), N (6), I (7)

Step 3: Determine the positions in Row 2
1. T sits at one of the extreme ends of Row 2 (position 1 or position 7).
2. X sits third to the left of T (facing South, "left" refers to the direction towards position 7). If T were at position 7, X would be out of bounds. Thus, T is at position 1 and X is at position 4.
3. Y sits to the left of Z and Y does not face N (who is at position 6). The remaining positions in Row 2 are 3, 6, and 7. Thus, Z is at position 3, U is at position 6, and Y is at position 7.

Row 2 Final Seating (Positions 1 to 7):
T (1), W (2), Z (3), X (4), V (5), U (6), Y (7)

Step 4: Evaluate the Given Statements
• Statement I: X faces M — False (X is at position 4 and faces K, whereas M is at position 5).
• Statement II: Two persons sit between K and I — True (K is at position 4 and I is at position 7; M and N sit between them).
• Statement III: T sits at one of the extreme ends — True (T sits at position 1, which is an extreme end).

Hence, statements II and III are true.