Question:

Identify the figure that completes the pattern of the question figure.



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In non-verbal reasoning pattern problems, always check two things: (1) whether all elements of a set (shapes) are present, and (2) whether the shading/filling alternates consistently. This avoids confusion between similar-looking options.
Updated On: Jul 16, 2026
  • a

  • b

  • c

  • d

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The Correct Option is A

Approach Solution - 1

Step 1: Observe the grid structure. 
The figure is arranged in a $4 \times 4$ block pattern (four $2 \times 2$ groups). Each block contains four different shapes: - Circle, - Square, - Triangle, - Diamond. Thus, every $2 \times 2$ block contains all four shapes without repetition. 

Step 2: Shading rule. 
Notice the alternation of filled and outline patterns: - In the top-left block: Circle (filled), Square (outline), etc. - In the other blocks: Shading alternates systematically so that within a $2 \times 2$ block, two shapes are filled and two are outlines. 

Step 3: Identify missing block. 
The missing bottom-right $2 \times 2$ block must: 

  1. Contain all four shapes (circle, square, triangle, diamond). 
  2. Follow the filling/outline alternation (two filled, two outlines). 

Checking the answer options: 

- (a) Contains Circle (outline), Triangle (filled), Square (filled), Diamond (outline) → matches both shape-completeness and shading balance. 

- (b), (c), (d) either repeat shading wrongly or mismatch the placement of shapes. 

Step 4: Confirm the match. 
Thus, the correct block is option (a) because it completes the last $2 \times 2$ block with all four shapes in proper shading order. \[ \boxed{\text{Option (a)}} \]

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Approach Solution -2

Instead of tracing shapes block by block, check each option purely against two counting rules the completed grid must satisfy: every \(2\times2\) block must contain one circle, one square, one triangle and one diamond with no repeats, and exactly two of the four shapes in that block must be filled while the other two stay outline.

  1. Option (a): contains all four distinct shapes (circle, square, triangle, diamond) with exactly two filled and two outline — satisfies both rules.
  2. Option (b): repeats a shape category and unbalances the filled/outline count — fails the completeness rule.
  3. Option (c): keeps all four shapes but gets the filled/outline split wrong (three filled, one outline) — fails the shading rule.
  4. Option (d): swaps the placement of two shapes so the block no longer matches the alternating shading seen in the other three blocks — fails.

Only option (a) satisfies both the shape-completeness rule and the two-filled/two-outline shading rule for the missing block.

the correct answer is option (a).

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