Comprehension

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:
square layout
Individuals (all of same height) are seated on these platforms. We say an individual A can reach art 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 individuals (s) between A and B, such individual(s) must be at a height tower 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.

Question: 1

How many individuals in this layout can be reached by just one individual?

Updated On: Sep 26, 2024
  • 3
  • 5
  • 7
  • 8
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The Correct Option is C

Solution and Explanation

The heights of the platforms given is as below

61243
95328
78465
39512
17639

The count of individuals who can be contacted by only one person is marked.
 

61\(\textcircled {2}\)43
95328
\(\textcircled {7}\)8\(\textcircled {4}\)6\(\textcircled {5}\)
\(\textcircled {3}\)951\(\textcircled {2}\)
176\(\textcircled {3}\)9

A total of 7 persons can be reached by just one individual.

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Question: 2

Which of the following is true for any individual at a platform of height 1 m in this layout?

Updated On: Sep 26, 2024
  • They can be reached by all the individuals in their own row and column
  • They can be reached by at least 4 individuals
  • They can be reached by at least one individual
  • They cannot be reached by anyone
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The Correct Option is D

Solution and Explanation

The heights of the platforms given is as below

61243
95328
78465
39512
17639

If an individual is at a platform of height 1, they cannot be reached by anyone as condition (II) will be violated.

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Question: 3

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

Updated On: Sep 26, 2024
  • the last row
  • the fourth row
  • the fourth column
  • the middle column
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The Correct Option is C

Solution and Explanation

The heights of the platforms given is as below

61243
95328
78465
39512
17639

Only in the fourth column can we find two individuals who cannot be reached by anyone. In the fourth column, the individual at height 2 and the individual at height 1 cannot be reached by anyone.

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Question: 4

Which of the following statements is true about this layout?

Updated On: Sep 26, 2024
  • Each row has an individual who can be reached by 5 or more individuals
  • Each row has an individual who cannot be reached by anyone
  • Each row has at least two individuals who can be reached by an equal number of individuals
  • All individuals at the height of 9 m can be reached by at least 5 individuals
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The Correct Option is C

Solution and Explanation

The heights of the platforms given is as below

61243
95328
78465
39512
17639

Statement 1 is incorrect since no individual in row 1 can be reached by 5 or more individuals. Statement 2 is incorrect as row 3 has no individual who cannot be reached by anyone. Statement 4 is incorrect as the individual at height 9 in column 1 can be reached by only 4 individuals. Therefore, the only correct statement is statement 3.

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