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: Jul 30, 2025
  • 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

Persons Reachable by Only One Individual

Finding

From the given arrangement and conditions, it is determined that: \[ \boxed{\text{A total of 7 persons can be reached by exactly one individual.}} \]

Interpretation

This means there are 7 distinct persons in the setup who have only a single possible path of access from another person, and no other individual can reach them under the given constraints.

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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: Jul 30, 2025
  • 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

Reachability Constraint for Height 1 

Step 1: Given condition

According to condition (II), an individual can only be reached if the platform height difference between them and the person attempting to reach them satisfies the stated rules.

Step 2: Implication for height 1

If an individual is at a platform of height 1, any attempt to reach them will violate condition (II). Therefore: \[ \text{No individual at height 1 can be reached by anyone.} \]

Step 3: Conclusion

This means that height 1 is an inherently **unreachable position** in the arrangement.

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Question: 3

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

Updated On: Jul 30, 2025
  • 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

Identifying Unreachable Individuals

Step 1: Observation

We are tasked with finding columns that contain individuals who cannot be reached by anyone.

Step 2: Analysis by columns

Upon checking all columns:

  • Columns 1, 2, and 3 — No two individuals exist who are completely unreachable.
  • Column 4 — Contains two individuals who cannot be reached by anyone.

Step 3: Specific individuals in Column 4

In Column 4:

  • The individual at height 2
  • The individual at height 1

are both completely unreachable.

Final Conclusion:

\[ \boxed{\text{Only Column 4 contains two unreachable individuals.}} \]

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Question: 4

Which of the following statements is true about this layout?

Updated On: Jul 30, 2025
  • 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

Step 1: Check Statement 1

Statement 1 claims that an individual in row 1 can be reached by 5 or more individuals. This is incorrect because, in row 1, no individual can be reached by that many people.

Step 2: Check Statement 2

Statement 2 claims that in row 3 there exists an individual who cannot be reached by anyone. This is incorrect because every individual in row 3 can be reached by at least one person.

Step 3: Check Statement 4 

Statement 4 claims that the individual at height 9 in column 1 can be reached by more than 4 individuals. This is incorrect because this individual can be reached by exactly 4 people, not more.

Step 4: Valid statement

The only statement that holds true is: \[ \boxed{\text{Statement 3 is correct.}} \]

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