In a square layout of size 5m × 5m, 25 equal sized square platforms of different heights are built. The heights (in metres) of individual platforms are as shown below:

6	1	2	4	3
9	5	3	2	8
7	8	4	6	5
3	9	5	1	2
1	7	6	3	9

Individuals (all of same height) are seated on these platforms. We say an individual A can reach an individual B if all the three following conditions are met:
(i) A and B are in the same row or column
(ii) A is at a lower height than B
(iii) If there is/are any individual(s) between A and B, such individual(s) must be at a height lower than that of A.

Thus in the table given above, consider the individual seated at height 8 on 3rd row and 2nd column. He can be reached by four individuals. He can be reached by the individual on his left at height 7, by the two individuals on his right at heights of 4 and 6 and by the individual above at height 5. Rows in the layout are numbered from top to bottom and columns are numbered from left to right.

Which of the following statements is true about this layout?

The correct option is C.

Let's analyze the number of individuals who can reach each position in the grid. We will denote the grid as a matrix where row index ranges from 0 to 4 and column index ranges from 0 to 4.

Using the defined conditions for reachability, we can calculate the reach count for each cell in the layout row by row:
• Row 1 (Option A): [3, 0, 1, 3, 0]
• Row 2 (Option B): [4, 2, 2, 0, 5]
• Row 3 (Option C): [1, 4, 1, 6, 1]
• Row 4 (Option D): [1, 4, 3, 0, 1]
• Row 5 (Option E): [0, 2, 2, 1, 6]

Let's evaluate each option using these calculated counts:
• Option A: "Each row has an individual who can be reached by 5 or more individuals". Row 1 does not have any individual reached by 5 or more (the counts are 3, 0, 1, 3, 0). Thus, Option A is false.
• Option B: "Each row has an individual who cannot be reached by anyone". Row 3 (counts: [1, 4, 1, 6, 1]) does not contain any 0. Thus, Option B is false.
• Option C: "Each row has at least two individuals who can be reached by an equal number of individuals". Looking at the counts:
- Row 1 has counts 3 (twice) and 0 (twice).
- Row 2 has count 2 (twice).
- Row 3 has count 1 (three times).
- Row 4 has count 1 (twice).
- Row 5 has count 2 (twice).
Since every row has at least one pair of equal values, Option C is true.
• Option D: "All individuals at the height of 9 m can be reached by at least 5 individuals". The 9 at Row 4, Column 2 (index [3][1]) has a reach count of 4 (which is less than 5). Thus, Option D is false.