In the DILR section of the CAT exam, Linear Arrangement holds significant importance. It is a crucial topic that involves organizing a set of variables, objects, or people based on given rules or conditions. Typically, Linear Arrangement questions are considered to be less complicated than Circular Arrangement questions. However, in Linear Arrangement questions, the direction can also play a critical role. Arrangement questions with attributes, where objects may face north or south or possess specific attributes, may require careful consideration of the direction. As such, mastering Linear Arrangement questions is essential to achieve success in the CAT exam’s Logical Reasoning section.

To help you prepare for these types of questions, we have created a PDF containing the most important and must-practice Linear Arrangement questions for CAT. This PDF is an excellent tool to practice and master this question type, allowing you to enhance your accuracy and speed in answering Linear Arrangement questions.

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**Instructions:**

Directions for the following three questions: Answer the following questions based on the statements given below:

(i) There are three houses on each side of the road.

(ii) These six houses are labeled as P, Q, R, S, T and U.

(iii) The houses are of different colours, namely, Red, Blue, Green, Orange, Yellow and White.

(iv) The houses are of different heights.

(v) T, the tallest house, is exactly opposite to the Red coloured house.

(vi) The shortest house is exactly opposite to the Green coloured house.

(vii) U, the Orange coloured house, is located between P and S.

(viii) R, the Yellow coloured house, is exactly opposite to P.

(ix) Q, the Green coloured house, is exactly opposite to U.

(x) P, the White coloured house, is taller than R, but shorter than S and Q.

**Question 1:**What is the colour of the house diagonally opposite to the Yellow coloured house?

a) White

b) Blue

c) Green

d) Red

e)none of these

**Question 2:**Which is the second tallest house?

a) P

b) S

c) Q

d) R

e)cannot be determined

**Question 3:**What is the colour of the tallest house?

a) Red

b) Blue

c) Green

d) Yellow

e)none of these

Directions for the following three questions: Answer the questions on the basis of the information given below.

**Instructions:**

A, B, C, D, E, and F are a group of friends. There are two housewives, one professor, one engineer, one accountant and one lawyer in the group. There are only two married couples in the group. The lawyer is married to D, who is a housewife. No woman in the group is either an engineer or an accountant. C, the accountant, is married to F, who is a professor. A is married to a housewife. E is not a housewife.

**Question 4:**Which of the following is one of the married couples?

a) A & B

b) B & E

c) D & E

d) A & D

**Question 5:**What is E’s profession?

a) Engineer

b) Lawyer

c) Professor

d) Accountant

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**Question 6:**

How many members of the group are males?

a) 2

b) 3

c) 4

d) Cannot be determined

**Solutions (1-3):
**

Before directly trying to answer the question, it is important to gather all the information given by the question.

There are three houses on each side of the road => Draw 6 lines, 3 in each row, to accommodate P, Q, R, S, T and U.

The houses are of different colours and different heights.

T is tallest and is opposite to red house => Letâ€™s number T as 1.

Shortest house is opposite to green house.

U is orange and is between P and S => Two cases arise here. P-U-S is one possibility and the other possibility is S-U-P.

R is yellow and is opposite to P.

Q is green and is opposite to U. We know that green house is opposite to the shortest house. This implies that U is the shortest house => Number of U is 6.

P is white and is taller than R but shorter than S and Q => Apart from T, S and Q are also taller than P => S and Q can be 2 and 3 in any order => Number of P is 4 and number of R is 5.

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**1)** answer (D)

We know that P is opposite to R and Q is opposite to U => S is opposite to T

It is given that T is opposite to red house => S is the red house and hence T is the blue house.

So, we know the colours of all houses and heights of P, R, T and U.

In this question, we are asked to find the house that is opposite to yellow house. R is the yellow house, P is opposite to R and S is on the other corner in Pâ€™s row. Hence S is the house that is diagonally opposite to yellow house and the colour of S is Red.

**2)** Answer (E)

We only know that the second tallest house is either Q or S.Â Hence the answer is cannot be determined.

**3)** Answer (B)

We know that P is opposite to R and Q is opposite to U => S is opposite to T

It is given that T is opposite to red house => S is the red house and hence T is the blue house.

T is the tallest house and hence the colour of the tallest house is blue.

4) Answer (D)

According to given conditions, we are able to infer following relations

So A and D are married couple.

5) Answer (A)

According to given conditions we are able to infer,

Hence E is an engineer.

6) Answer (B)

According to given conditions we are able to infer,

Thus, there are 3 males.

Hope this practice test on Linear Arrangement forÂ CAT will be very much useful to you.