CAT 2017 Slot 1 DILR Set 7 Q25–Q28

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2017 Slot 1, with 4 questions (Grids & Matrices). Answers are CAT's official key.

The set

This set relies on a figure in the original paper, which is not reproduced here. The questions and answers are below.

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:

[Figure in the original paper]

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.

Question 25

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

  1. A
    3
  2. B
    5
  3. C
    7
  4. D
    8

Answer: (C) 7 Grids & Matrices MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 26

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

  1. A
    They can be reached by all the individuals in their own row and column.
  2. B
    They can be reached by at least 4 individuals.
  3. C
    They can be reached by at least one individual.
  4. D
    They cannot be reached by anyone.

Answer: (D) They cannot be reached by anyone. Grids & Matrices MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 27

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

  1. A
    the last row
  2. B
    the fourth row
  3. C
    the fourth column
  4. D
    the middle column

Answer: (C) the fourth column Grids & Matrices MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Question 28

Which of the following statements is true about this layout?

  1. A
    Each row has an individual who can be reached by 5 or more individuals
  2. B
    Each row has an individual who cannot be reached by anyone
  3. C
    Each row has at least two individuals who can be reached by an equal number of individuals
  4. D
    All individuals at the height of 9 m can be reached by at least 5 individuals

Answer: (C) Each row has at least two individuals who can be reached by an equal number of individuals Grids & Matrices MCQ

A worked solution for this question is being written. Meanwhile, practise it in a timed mock and see how other aspirants did.

Same concept in other years

See every question on Line of sight on a grid: who can see/reach whom along rows, columns, diagonals.

More Grids & Matrices questions from CAT

All 67 Grids & Matrices questions asked since 2017.