Question

Which one of the following figures P, Q, R, or S, correctly shows the \( 45^\circ \) clockwise-rotated version of figure (I)?

• A. P
• B. Q
• C. R
• D. S

Hint:

Track one distinct hook or corner of figure (I) and see where a 45-degree clockwise turn should place it, then match handedness too.

Answer 1

The Correct Option is B

Step 1: Understand the question:
Figure (I) is a square pattern made of several interlocking hook-like arms.
We need to turn this whole pattern by \( 45^\circ \) in the clockwise direction and find which of P, Q, R, S shows this exact result.

Step 2: Set up a landmark to track:
Instead of trying to compare the whole busy pattern at once, we pick one clear, unusual feature in figure (I), such as one specific hook with a distinct bend.
When a shape turns \( 45^\circ \) clockwise, every point on it moves along a circle by \( 45^\circ \) in the clockwise sense, so the chosen feature must land in the matching new position and keep the same handedness, not become a mirror image.

Step 3: Predict where the landmark should land:
If the tracked hook sits near the top edge of the square in figure (I), after a clockwise \( 45^\circ \) turn it should sit near the upper right edge of the resulting diamond shape.
A genuine rotation keeps every arm's length, spacing and bend the same, only the overall direction changes.

Step 4: Check option (A) P:
In P, the general diamond outline looks close, but the hook that should sit at the upper right corner is bent the opposite way compared to figure (I), meaning it has been mirrored rather than rotated, so P is incorrect.

Step 5: Check option (B) Q:
In Q, the same tracked hook lands exactly where a clockwise \( 45^\circ \) turn predicts, at the upper right of the diamond, and it keeps the same bend direction as in figure (I).
Every other arm in Q also keeps its length and spacing from figure (I), just turned by the same amount, so the whole pattern matches a pure clockwise rotation.

Step 6: Check option (C) R:
In R, the pattern looks rotated, but checking the tracked hook again shows it sits closer to a \( 90^\circ \) turn rather than \( 45^\circ \), landing too far around the diamond, so R uses the wrong amount of rotation.

Step 7: Check option (D) S:
In S, the tracked hook appears in a position consistent with a counter-clockwise turn instead of a clockwise one, so the rotation direction itself is wrong.

Final Answer:
Only option Q keeps the same handedness and lands the tracked feature at the correct \( 45^\circ \) clockwise position. \[ \boxed{\text{Q}} \]