The figure in Panel I below is a grid of cells with four rows and four columns. The numbers on the t

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GATE-CS is a competitive examination conducted in India. This question is from the 2026 GATE-CS Aptitude paper.

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This GATE-CS 2026 Aptitude question has a medium difficulty level.

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Question

The figure in Panel I below is a grid of cells with four rows and four columns. The numbers on the top and on the left represent the number of cells that are to be shaded in that column and row, respectively. Which one of the options shown in Panel II below represents the grid shaded correctly?

Accepted Answer

Correct Answer: (B) (ii)Concept -- Constraint Satisfaction (Nonogram): This is a puzzle where row sums and column sums are given. Each option must be checked to see if the number of shaded cells in each row matches the left number and in each column matches the top number. Only option (ii) satisfies all row and column constraints simultaneously.Why other options are incorrect: • A (i) – The row sums or column sums deviate from the given numbers (e.g., a row might have 2 shaded when 3 is required).• C (iii) – Similarly fails one or more constraints.• D (iv) – Does not match the required totals.Note: Such puzzles are known as “nonograms” or “griddlers”. The standard approach is to systematically count shaded cells per row and per column for each candidate and compare with the given sums. Logical deduction can also be used, but verification is straightforward here.

The figure in Panel I below is a grid of cells with four rows and four columns. The numbers on the top and on the left represent the number of cells that are to be shaded in that column and row, respectively. Which one of the options shown in Panel II below represents the grid shaded correctly?

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The figure in Panel I below is a grid of cells with four rows and four columns. The numbers on the top and on the left represent the number of cells that are to be shaded in that column and row, respectively. Which one of the options shown in Panel II below represents the grid shaded correctly?

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