Question

The top view of four objects, resting on a planar ground, is shown in black colour in the given figure. When light falls on them at an angle of 45 degrees from the ground in the direction marked in the image, corresponding shadows are formed on the ground. Which option(s) depict(s) the correct arrangement of the objects?

• A. A
• B. B
• C. C
• D. D

Hint:

In shadow projection problems, a 45-degree light angle creates a shadow whose length (for vertical elements) or displacement is equal to the object's height. To solve this type of question, first match the fundamental shapes (like the top view) before analyzing the details of the shadow.

Answer 1

The Correct Option is B, C

1. Option A: The set of objects shown does not match the required top-view shapes, so this is incorrect.
2. Option B: The objects match the required top-view shapes and their shadows are drawn at the correct 45-degree offset, so this is correct.
3. Option C: The objects match the required top-view shapes and the shadow offsets are consistent with the light direction and each object's height, so this is correct.
4. Option D: One of the objects here has the wrong top-view shape, so this is incorrect.

B and C are correct.

Answer 2

It is quicker to start by ruling out the options with an obviously wrong set of objects, then only check the shadow construction for whatever remains.

1. Option A: This set swaps in a shape that is not among the four required top views, so it can be ruled out immediately without even checking its shadows.
2. Option D: This set also substitutes in a shape outside the required four, so it too is ruled out on the object list alone.
3. Option B: With the wrong options cleared away, this one has exactly the required four top-view shapes, and walking through its shadows shows each is offset in the marked direction by the right amount for its height, so it holds up.
4. Option C: This one also carries exactly the required four top-view shapes, and its shadow offsets are likewise consistent with the 45-degree direction and each object's height, so it holds up too.

Eliminating the two mismatched sets first leaves the two options whose shadow geometry checks out.

So the correct answer is B and C.