Directions: Read the following information carefully and answer the question that follows.

Eight members — K, T, U, V, W, X, Y, and Z — hold eight distinct academic designations in a university: Chancellor, Vice-Chancellor, Dean, Department Head, Senior Professor, Associate Professor, Assistant Professor, and Lecturer. The order of seniority is from Chancellor (the senior-most) down to Lecturer (the junior-most).

K is the Lecturer of the university.
Three persons hold designations between K and T.
X holds a designation senior to Dean, but X is not the Vice-Chancellor.
The number of persons senior to V is equal to the number of persons junior to W.
Two persons hold designations between V and U.
Z is senior to Y, but junior to Vice-Chancellor.

Who among the following is the Vice-Chancellor of the university?

The correct answer is V.

Step-by-step reasoning:
We are given eight academic designations in decreasing order of seniority:
1. Chancellor (Senior-most)
2. Vice-Chancellor
3. Dean
4. Department Head
5. Senior Professor
6. Associate Professor
7. Assistant Professor
8. Lecturer (Junior-most)

Let's place the eight members (K, T, U, V, W, X, Y, Z) step-by-step based on the given clues:

Step 1: Determine the positions of K and T
- "K is the Lecturer of the university."
Thus, Position 8 (Lecturer) = K.
- "Three persons hold designations between K and T."
Since K is at position 8, counting 3 positions up places T at position 4.
Thus, Position 4 (Department Head) = T.

Step 2: Determine the position of X
- "X holds a designation senior to Dean, but X is not the Vice-Chancellor."
Designations senior to Dean (position 3) are Chancellor (position 1) and Vice-Chancellor (position 2).
Since X is not the Vice-Chancellor, X must be the Chancellor.
Thus, Position 1 (Chancellor) = X.

Step 3: Determine the positions of V, W, and U
- "The number of persons senior to V is equal to the number of persons junior to W."
This implies V and W occupy symmetric positions from the top and bottom.
Since positions 1, 4, and 8 are already occupied, the possible symmetric pairs for (V, W) are (2, 7) or (3, 6).
- "Two persons hold designations between V and U."
If V were at position 3, then U would have to be at position 6 (position 3 + 3), which conflicts with W being at position 6. Hence V cannot be at position 3.
Therefore, V must be at position 2 and W at position 7.
Thus, Position 2 (Vice-Chancellor) = V and Position 7 (Assistant Professor) = W.
With V at position 2, placing 2 persons between V and U puts U at position 5 (position 2 + 3).
Thus, Position 5 (Senior Professor) = U.

Step 4: Determine the positions of Z and Y
- "Z is senior to Y, but junior to Vice-Chancellor."
The remaining unoccupied positions are 3 and 6.
Since Z is senior to Y, Z must take position 3 and Y takes position 6.
Thus, Position 3 (Dean) = Z and Position 6 (Associate Professor) = Y.

Final Order of Seniority:
1. Chancellor: X
2. Vice-Chancellor: V
3. Dean: Z
4. Department Head: T
5. Senior Professor: U
6. Associate Professor: Y
7. Assistant Professor: W
8. Lecturer: K

Therefore, V is the Vice-Chancellor of the university.