Question

A square pyramid sequentially passes through three cut-outs, namely, 1, 2, and 3, without changing its orientation. Each cut-out has a circle with notches as shown. The cut-outs scrape off parts of the pyramid as it passes through them. Which option shows the CORRECT Side View of the remaining part of the pyramid at the end of the sequence? 

• A. A
• B. B
• C. C
• D. D

Hint:

For 3D shapes passing through cut-outs, visualize how each cut affects the geometry of the object and consider the sequence of changes.

Answer 1

The Correct Option is C

Step 1: The pyramid passes through each cut-out sequentially, scraping off parts of the shape at each step.
Step 2: Analyze the effect of each cut-out and how it changes the side view of the pyramid.
Step 3: After passing through all three cut-outs, the remaining part of the pyramid corresponds to the shape in option (C).

Answer 2

This puzzle checks whether you can track how a solid loses material as it passes through shaped openings. The pyramid keeps the same orientation the whole time.

1. Option A: This silhouette is wider than the tightest of the three notch openings would allow at that height. It still keeps material that cutout 2 or cutout 3 should have scraped away.
2. Option B: This silhouette is missing one of the notch bites that should appear once all three openings act in sequence. It looks less scraped than the actual result.
3. Option C: This silhouette fits inside the boundary of all three cutouts at once. Each cutout only removes what sticks out past its own circle and notch, so the final piece must sit inside the overlap of all three, and only this option is built that way.
4. Option D: This silhouette shows a notch cut on a face where none of the three cutouts would reach. The circle and notch positions only affect specific bands of the pyramid's height.

Only option C keeps a silhouette that stays inside all three cutout boundaries at once. That is exactly what survives after three sequential scrapes.

the correct answer is Option C.