Question:
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
Check each candidate structure against the front view (height profile) and the top view (footprint) separately - the correct one must satisfy both simultaneously; only (iv) does.
Updated On: Aug 4, 2026
- (i)
- (ii)
- (iii)
- (iv)
Show Solution
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The Correct Option is D
Solution and Explanation
Step 1: Understand what front view and top view represent. The front view (elevation) shows the outline of the structure as seen looking horizontally at it, capturing the heights and widths of blocks arranged left to right. The top view (plan) shows the outline as seen looking straight down, capturing the depth and width arrangement of blocks.
Step 2: For a 3D block structure to be the correct answer, every block visible in the front view must correspond to a block position confirmed in the top view, and no block in any candidate 3D structure should contradict either view - i.e., a block that would create an extra silhouette edge not present in Panel I must be absent.
Step 3: Systematically test each candidate structure (i), (ii), (iii), (iv) from Panel II against Panel I: project each candidate structure from the front and compare the resulting outline/step pattern to the given front view; then project each candidate from the top and compare the resulting outline to the given top view.
Step 4: Structures (i), (ii), and (iii) each fail to reproduce at least one of the two given views exactly - in each of these, either an extra block creates a step in the front view that is not shown in Panel I, or a missing/extra block changes the footprint shown in the top view of Panel I.
Step 5: Structure (iv) is the only candidate whose front-view projection matches the height/step pattern of Panel I's front view exactly, and whose top-view projection matches the footprint of Panel I's top view exactly.
\[ \text{Only structure (iv) is consistent with both given views.} \]
Final Answer: (D) (iv)
Step 2: For a 3D block structure to be the correct answer, every block visible in the front view must correspond to a block position confirmed in the top view, and no block in any candidate 3D structure should contradict either view - i.e., a block that would create an extra silhouette edge not present in Panel I must be absent.
Step 3: Systematically test each candidate structure (i), (ii), (iii), (iv) from Panel II against Panel I: project each candidate structure from the front and compare the resulting outline/step pattern to the given front view; then project each candidate from the top and compare the resulting outline to the given top view.
Step 4: Structures (i), (ii), and (iii) each fail to reproduce at least one of the two given views exactly - in each of these, either an extra block creates a step in the front view that is not shown in Panel I, or a missing/extra block changes the footprint shown in the top view of Panel I.
Step 5: Structure (iv) is the only candidate whose front-view projection matches the height/step pattern of Panel I's front view exactly, and whose top-view projection matches the footprint of Panel I's top view exactly.
\[ \text{Only structure (iv) is consistent with both given views.} \]
Final Answer: (D) (iv)
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