Question

P and Q are printed patterns where the white portion of both the patterns is transparent. If Q is overlapped on P, what will be the resultant image?

• A. Fig A
• B. Fig B
• C. Fig C
• D. Fig D

Hint:

To solve overlay questions quickly, identify a cell where one pattern has a solid dark block and the other is empty. The final image must contain that exact dark block unchanged. This instantly eliminates incorrect options.

Answer 1

The Correct Option is A

Step 1: Understanding the Question:
This question belongs to the topic of

Visual Overlay and Pattern Synthesis.
We are given two square patterns, P and Q, of equal size. Pattern P contains black and white pixels, while pattern Q contains brown and white pixels. We need to identify the correct merged pattern when Q is placed precisely over P, given that the white areas are transparent.

Step 2: Key Formula or Approach:
We treat the overlay as a pixel-by-pixel logical OR operation of opaque colors:

• \(\text{Black} + \text{White (Transparent)} = \text{Black}\).

• \(\text{White (Transparent)} + \text{Brown} = \text{Brown}\).

• \(\text{White (Transparent)} + \text{White (Transparent)} = \text{White}\).

• Since Black is the darkest color, any overlap of Black and Brown remains Black.


Step 3: Detailed Explanation:

• Let us analyze specific coordinates in a \(5 \times 5\) grid from top-to-bottom and left-to-right:
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Row 3, Column 1: Pattern P has a black square. Pattern Q has a transparent white space. The result must be a solid Black square. This is correct in Options (A) and (B), but incorrect in (C), which shows brown curves.
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Row 5, Column 3: Pattern P has a black square. Pattern Q has a brown wavy area. Because the black foreground is opaque and darker, this cell must remain solid Black. This eliminates Option (D), which shows a brown wavy shape there.
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Row 4, Column 2: Pattern P has a white (transparent) square. Pattern Q has a brown shape with an upward-curving top edge. Since P is transparent here, the final output must display this brown wavy shape. This is correct in Option (A), but in Option (B) it is incorrectly shown as a black square.

• Verifying all other cells confirms that Option (A) preserves all straight-edged black squares from P while displaying the correct wavy brown elements of Q in the transparent regions of P.


Step 4: Final Answer:
Option (A) is the correct resultant image.