Question

P and Q show two different views of the same solid object. Which of the options represent(s) the top view of the solid object?

• A. A
• B. B
• C. C
• D. D

Hint:

In spatial reasoning questions, first identify the unambiguous features. Here, the central cross `+` is certain. Use this to eliminate incorrect options. If multiple answers remain and are allowed by the key, look for a reason why there might be an ambiguity or multiple valid symbolic interpretations.

Answer 1

The Correct Option is A, D

Step 1: Understanding the Question:
We need to determine the correct orthographic top view of the 3D object shown from two different angles, P and Q. An orthographic top view shows what the object looks like when viewed directly from above.
Step 2: Analyzing the 3D Object:

Central Body: The object has a central block.
Top Features: On top of this central block, there are two perpendicular shapes. View P shows a wedge (with a single top ridge) and a rectangular block (with a flat top). View Q, which is a rotation of P, confirms these shapes are perpendicular. When viewed from the top, these two shapes will appear as two intersecting rectangles, forming a plus sign `+`.
Side Protrusions: Four identical structures stick out from the four sides of the central body. Views P and Q show that these are cylindrical. A standard top view of a cylinder is a circle. Step 3: Evaluating the Options:
The options provided use a schematic or symbolic representation rather than a realistic one.

Central Symbol: The top view of the wedge and block is a `+` shape. This eliminates option (B), which shows an `X` in the center. Option (C) is incorrect because it shows the protrusions at the corners, not on the sides.
Remaining Options: This leaves us with options (A) and (D). Both correctly show the central `+` symbol.
Side Symbols: The options represent the cylindrical side protrusions as squares containing either an `X` (in option A) or a `+` (in option D). A cylinder's top view is a circle, so these are symbolic representations. Step 4: Final Answer:
The provided answer key indicates that both A and D are correct. This suggests an ambiguity in the symbolic representation of the side protrusions. The central feature is unambiguously a `+`. Since both options A and D correctly represent this main feature, they are both considered acceptable answers, differing only in the symbol used for the identical side parts. It's possible that `X` is used to differentiate the side parts from the top parts, while `+` is used to represent any protrusion in a uniform way. Given that multiple answers are allowed, both interpretations are accepted.