Question

Shapes are cut out from two Black Discs, Disc-X and Disc-Y as given below. Identify the correct image, when Disc-Y is kept on top of Disc-X and rotated 60 degrees anti-clockwise.

• A. A
• B. B
• C. C
• D. D

Hint:

In multi-step spatial reasoning problems, perform each step mentally (or with a quick sketch) in the specified order. For rotation, focusing on a single point (like the center of the opening in Disc-Y) and tracking its new position makes the task easier.

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
The problem involves a two-step spatial manipulation: first, Disc-Y is rotated 60 degrees anti-clockwise, and second, this rotated disc is placed on top of Disc-X. We need to determine the final visual appearance.
Step 2: Step-by-Step Visualization:
Action 1: Rotate Disc-Y.
- Disc-Y has a large wedge-shaped cutout (a "pac-man" shape) on its right side. Let's say the center of the opening is at the 3 o'clock position. - Rotating it 60 degrees anti-clockwise (counter-clockwise) will move this opening upwards and to the left. A 60-degree rotation from 3 o'clock moves the center of the opening to the 1 o'clock position. The cutout will now occupy the top-right sector of the disc.
Action 2: Superimpose Rotated Disc-Y on Disc-X.
- Disc-X has a five-pointed star cutout, with one point oriented straight up to the 12 o'clock position. - When the rotated Disc-Y is placed on top of Disc-X, the solid black part of Disc-Y will cover parts of Disc-X, and the cutout (window) of Disc-Y will reveal the part of Disc-X underneath it. - The window on the rotated Disc-Y is now in the top-right section (roughly from 11 o'clock to 3 o'clock). - This window will align with the top part of the star on Disc-X. - The star points that fall within this top-right window are the top point (at 12 o'clock) and the top-right point (at about 2:30 o'clock). - The other three points of the star (top-left, bottom-left, and bottom-right) will be covered by the solid black part of Disc-Y.
Step 3: Final Image Analysis:
The final image will be a black disc with two white star points visible: the top one and the top-right one.
Step 4: Final Answer:
Looking at the options, Image B is the only one that shows the top and top-right points of the star.