Step 1: Turn the problem into tracking a single corner.
A full rotation moves every part of a shape by the same angle, so it is enough to track just one sharp corner or arm tip of figure (I) and see where it should end up.
This is faster than trying to compare the whole complicated pattern piece by piece.
Step 2: Recall how a clockwise turn moves a point.
On a clock face, the hands move clockwise, so a point near the "12 o'clock" position of a shape moves toward "1:30" after a $45^\circ$ clockwise turn, since $45^\circ$ is one eighth of a full circle.
We use this clock idea to guess the new position of our chosen corner.
Step 3: Apply this to figure (I).
Pick the arm tip nearest the top of the square in figure (I) and treat it like the "12 o'clock" mark.
After a $45^\circ$ clockwise turn, this tip should move to sit near the upper right corner of the new diamond shape, one eighth of a turn away from where it started.
Step 4: Test each option against this prediction.
In S, the tip moves to the upper left instead of the upper right, which matches a counter-clockwise turn, not clockwise, so S is wrong.
In R, the tip goes almost to the right side of the diamond, which is closer to a $90^\circ$ turn, too far for $45^\circ$, so R is wrong.
In P, the tip lands close to the right spot, but the arm's bend faces the opposite way, showing the figure was flipped, not purely rotated, so P is wrong.
In Q, the tip lands at the predicted upper right spot and the bend direction of the arm still matches figure (I), so Q passes both checks.
Final Answer:
Tracking one corner through a clockwise $45^\circ$ turn shows Q is the only option that lands and bends correctly.
\[ \boxed{\text{Q}} \]
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Top Questions on Analytical Aptitude - Figure Completion
