CAT 2017 Slot 1 DILR Question & Solution

Data InterpretationMedium

Data Set

In a square layout of site 5m ~ 5m 25 equal-sized square platforms of different heights are built. The heights (in metre) of individual platforms are as shown below:

Individuals (all of same height) are seated on these platforms. We say an individual A can reach 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 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.

Question 1

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

Solution:

The table represent the platforms and by how many platforms can it be reached. For example, in row 1 and column 1, platform with height 6 can be reached by 3 people.

Hence, there are a total of 7 people.

Question 2

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

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.

Solution:

Since, we have been given that a person can be reached only by those who are smaller than him. Hence, 1 cannot be reached by anyone. Thus, option D is the correct answer.

Question 3

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

the last row.

the fourth row.

the fourth column.

the middle column.

Solution:

Check out the options.

In last row, only one individual can't be reached by anyone.

In the fourth row, only one individual can't be reached by anyone.

In the middle column, every individual can be reached by atleast another individual.

In the fourth column, both 1 and 2 cannot be reached by any person. Hence, fourth column is the correct answer.

Question 4

Which of the following statements is true about this layout?

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.

Solution:

Let us go by options.

Option A: In first row, 6 is reached by 3, 1 by none, 2 by none, 4 by 3, 3 by none. Hence, ruled out.

Option B: Third row, every individual is approached by other.

Option D: In first row, 6 is reached by 3, 1 by none, 2 by none, 4 by 3, 3 by none. Hence, ruled out.

Hence, Option C is correct.