# Logical Reasoning – Set – In a square layout

## DILR – Logical Reasoning – Set

The following set contains four questions related to Logical Reasoning. Choose the best answer to each question.

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:

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.

## Questions

Q1) How many individuals in this layout can be reached by just one individual?
A) 3
B) 5
C) 7
D) 8

Q2) Which of the following is true for any individual at a platform of height 1 m in this layout?
A) They can be reached by all the individuals in their own row and column
B) They can be reached by at least 4 individuals
C) They can be reached by at least one individual
D) They cannot be reached by anyone

Q3) We can find two individuals who cannot be reached by anyone in
A) the last row
B) the fourth row
C) the fourth column
D) the middle column

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

Q1: Option (C)
Q2: Option (D)
Q3: Option (C)
Q4: Option (C)

## Solutions

Q1
CAT 2017 – Logical Reasoning – Set
As per the table, we can see that 7 individuals can be reached by 7 people.
Option (C)

Q2
CAT 2017 – Logical Reasoning – Set
As per the table, we can see that individuals of height 1mm cannot be reached by anyone.
Option (D)

Q3
CAT 2017 – Logical Reasoning – Set
This can be observed from the table.
Option (3)

Q4
CAT 2017 – Logical Reasoning – Set
This can be observed from the table.
Option (C)

## CAT 2017 Questions from Logical Reasoning

Logical Reasoning – Set 1: A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands.
Logical Reasoning – Set 2: Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air.
Logical Reasoning – Set 3: In an 8 X 8 chessboard a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece.
Logical Reasoning – Set 4: A tea taster was assigned to rate teas from six different locations – Munnar, Wayanad, Ooty, Darjeeling, Assam and Himachal.
Logical Reasoning – Set 5: Four cars need to travel from Akala (A) to Bakala (B). Two routes are available, one via Mamur (M) and the other via Nanur (N). The roads from A to M, and from N to B
Logical Reasoning – Set 6: A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with.
Logical Reasoning – Set 7: There are 21 employees working in a division, out of whom 10 are special-skilled employees (SE) and the remaining are regular skilled employees (RE).
Logical Reasoning – Set 8: Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream.

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