GATE EC 2022 Set 1 Q10 — General Aptitude

Consider the following square with the four corners and the center marked as $\text{P, Q, R, S}$ and $\text{T}$ respectively.

Let $\text{X, Y}$ and $\text{Z}$ represent the following operations:

$\text{X:}$ rotation of the square by $180$ degree with respect to the $\text{S – Q}$ axis.

$\text{Y:}$ rotation of the square by $180$ degree with respect to the $\text{P – R}$ axis.

$\text{Z:}$ rotation of the square by $90$ degree clockwise with respect to the axis perpendicular, going into the screen and passing through the point $\text{T}.$

Consider the following three distinct sequences of operation (which are applied in the left to right order).

1. $\text{XYZZ}$
2. $\text{XY}$
3. $\text{ZZZZ}$

Which one of the following statements is correct as per the information provided above?