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  • In a square layout of size 5m × 5m, 25 equal-sized platforms of different heights are built. The heights (in metres) of individual platforms are as shown below: <table border="1" cellp

In a square layout of size 5m × 5m, 25 equal-sized 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 individuals 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 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.

Row in the layout are numbered from top to bottom and columns are numbered from left to right.

Question :  We can find two individuals who cannot be reached by anyone in
 

Option: 1

the last row.


Option: 2

the fourth row.


Option: 3

the fourth column.


Option: 4

the middle column.


Answers (1)

best_answer

The correct answer is 3. the fourth column.

This is because the individuals at heights 1 and 2 in the fourth column cannot be reached by anyone.

To see why, let's look at the three conditions given in the problem:

Condition 1: The individuals are in the same row or column.

The individuals at heights 1 and 2 in the fourth column are not in the same row or column as any other individual in the layout.

Condition 2: The individuals are at a lower height than the individual they can be reached by.

The individuals at heights 1 and 2 in the fourth column are both at a lower height than any other individual in the layout.

Condition 3: If there is/are any individual(s) between the two individuals, such individual(s) must be at a height lower than that of the lower individual.

There are no individuals between the individuals at heights 1 and 2 in the fourth column and any other individual in the layout.

Therefore, the individuals at heights 1 and 2 in the fourth column cannot be reached by anyone.

In the last row, only the individual at height 1 cannot be reached by anyone.

In the fourth row, only the individual at height 1 cannot be reached by anyone.

In the middle column, all of the individuals can be reached by at least another individual.

Therefore, the only column where we can find two individuals who cannot be reached by anyone is the fourth column.

Posted by

seema garhwal

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