P, Q, R, S, T, V, W, Y and Z are sitting around a circle facing the centre. Z is second to the right of R, who is fourth to the right of P. S is sitting between R and Z. S is third to the left of Q. V is the second to the left of P, who is between of W and Q. Y is sitting between R and T. Who is second to the right of Z?

Let's determine the positions of the 9 individuals around the circle facing the center.
Z is second to the right of R, and R is fourth to the right of P. Let's fix P at position 1.
Moving clockwise (to the left) or counter-clockwise (to the right):
Since they face the center, "right" means moving counter-clockwise.
Fix P at position 1.
R is fourth to the right of P → Position of R = 1+4=5.
Z is second to the right of R → Position of Z = 5+2=7.

S is sitting between R and Z. So S must be at position 6.

S is third to the left of Q. Moving left means clockwise. If S (at 6) is third to the left of Q, then Q must be 3 positions counter-clockwise from S → Position of Q = 6+3=9.

V is second to the left of P. Position of V = 1−2=9−1=8.

P is between W and Q. Since Q is at 9 and P is at 1, W must be at position 2.

Y is sitting between R and T. R is at 5, and the only adjacent vacant position is 4 because position 6 is occupied by S. So Y is at position 4, and T is at position 3.

Let's summarize the positions clockwise from 1 to 9:
1: P
2: W
3: T
4: Y
5: R
6: S
7: Z
8: V
9: Q

We need to find who is second to the right of Z.
Z is at position 7. Second to the right means 2 positions counter-clockwise: 7+2=9.
The person at position 9 is Q.