In Panel I of the figure below, the front view and top view of a structure are
shown. Which one of the 3D structures shown in Panel II possesses the views
shown in Panel I?
In Panel I of the figure below, the front view and top view of a structure are
shown. Which one of the 3D structures shown in Panel II possesses the views
shown in Panel I?
Show Hint
- (i)
- (ii)
- (iii)
- (iv)
The Correct Option is D
Solution and Explanation
Approach: Treat the front view as a height-profile constraint (how tall the structure is at each horizontal position) and the top view as a footprint constraint (which grid cells are occupied when viewed from above). A correct 3D candidate must satisfy both constraints simultaneously - it can have no block that pokes above the front-view silhouette, and no occupied top-view cell that is missing (or extra) in its footprint.
Elimination pass: Structures (i), (ii), and (iii) each violate one of the two constraints - usually because they either add a hidden step/block that changes the front silhouette, or their footprint from above doesn't line up with the top view given in Panel I.
Confirmation: Structure (iv) alone reproduces the exact step pattern from the front and the exact occupied-cell footprint from the top, so it is the unique match to Panel I.
\(\text{Matching structure} = (iv)\)
Correct option: (D) (iv)
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