Linear Arrangement Questions for the CAT exam are part of the Logical Reasoning section in the CAT exam. Through Linear Arrangement questions, aspirants are tested on concepts related to Logical Reasoning and critical thinking. The difficulty level of the Linear Arrangement questions can be moderate to difficult.
Tips to improve Linear Arrangement Questions for CAT?
- Practice a wide range of problems to get different types of constraints and scenarios.
- Continuously verify each step with the given constraints to ensure consistency.
- Regularly take full-length mock tests , exam conditions and identify areas for improvement.
Linear Arrangement Questions Tricks for the CAT Exam
- Start with the most restrictive statements, such as those specifying exact positions or direct relationships.
- Prioritize statements that mention fixed positions or relative positioning with minimal ambiguity.
- If the arrangement is long, segment the line into parts to manage complexity.
Linear Arrangement Questions Concepts for the CAT Exam
- These are specific positions given directly in the problem (e.g., "A is sitting in the third position").
- These describe the positions of entities relative to each other (e.g., "A is to the left of B").
- Understand that in linear arrangement, left and right are always from the perspective of someone facing the arrangement.
- Some problems involve entities facing different directions (e.g., north or south), affecting their relative positions.
Linear Arrangement Practice questions for the CAT exam
Question 1. The eight employees of the company are G, H, I, J, K, M, N, and O. In each of the years 2001 through 2008, exactly one of the employees joined the company.
1. H joined the company before N.
2. K joined the company before J.
3. N and J joined the company before G.
4. N joined the company before O.
5. J joined the company before M.
6. G joined the company before I.
Q 1. Which one of the following CANNOT be true?
A. H joined the company in 2001.
B. H joined the company in 2003.
C. G joined the company in 2004.
D. M joined the company in 2004.
E. O joined the company in 2004.
Level: Easy
Answer: Option C
Q 2. If J joined the company in 2002, which one of the following CANNOT be true?
A. H joined the company in 2003.
B. M joined the company in 2003.
C. H joined the company in 2004.
D. N joined the company in 2004.
E. O joined the company in 2004.
Level: Easy
Answer: Option E
Q 3. Of the following, which one is the latest year in which J could have joined the company?
A. 2002
B. 2003
C. 2004
D. 2005
E. 2006
Level: Easy
Answer: Option D
Q 4. If O joined the company in 2005 and M joined it in 2007, one can determine the years in which exactly how many of the other employees joined the company.
A. 1
B. 2
C. 3
D. 4
E. 5
Level: Easy
Answer: Option B
Q 5. Assume that O joined the company before M. Of the following, which one is the earliest year in which M could have joined it?
A. 2003
B. 2004
C. 2005
D. 2006
E. 2007
Level: Easy
Answer: Option D
Must-do Linear Arrangement questions for the CAT exam?
Question 2: The Mammoth Corporation has just completed hiring nine new workers: B, C, D, E, F, G, H, I, and J.
1. F and I were hired on the same day as each other, and no one else was hired that day.
2. C and G were hired on the same day as each other, and no one else was hired that day.
3. On each of the other days of hiring, exactly one worker was hired.
4. E was hired before B.
6. 5. H was hired before D.
7. D was hired after I but before E.
8. G was hired after both J and B.
9. B was hired before J.
Q 1. Who were the last two workers to be hired?
A. E and J
B. B and G
C. B and C
D. G and C
E. J and B
Level: Easy
Answer: Option D
Q 2. Who was hired on the fourth day of hiring?
A. E
B. B
C. I
D. G
E. J
Level: Easy
Answer: Option A
Q3. Exactly how many workers were hired before J?
A. 6
B. 5
C. 4
D. 3
E. 2
Level: Easy
Answer: Option A
Q 4. Which one of the following must be true?
A. D was the first worker to be hired.
B. H was the first worker to be hired.
C. F and I were the first two workers to be hired.
D. H and F were the first two workers to be hired.
E. Either H was the first worker to be hired or F and I were the first two workers to be hired.
Level: Easy
Answer: Option E
Q 5. If E was hired on a Monday, what is the earliest day on which G could have been hired?
A. Monday
B. Tuesday
C. Wednesday
D. Thursday
E. Friday
Level: Easy
Answer: Option D
Most Important Linear Arrangement Question for CAT
Question 3. An apartment building has five floors. Each floor has either one or two apartments. There are exactly eight apartments in the building. The residents of the building are J, K, L, M, N, O, P, and Q, who each live in a different apartment.
1. J lives on a floor with two apartments.
2. K lives on the floor directly above P.
3. The second floor is made up of only one apartment.
4. M and N live on the same floor.
5. O does not live on the same floor as Q.
6. L lives in the only apartment on her floor.
7. Q does not live on the first or second floor.
Q 1. Which one of the following must be true?
A. Q lives on the third floor.
B. Q lives on the fifth floor.
C. L does not live on the fourth floor.
D. N does not live on the second floor.
E. J lives on the first floor.
Level: Easy
Answer: Option D
Q 2. Which one of the following CANNOT be true?
A. K lives on the second floor.
B. M lives on the first floor.
C. N lives on the fourth floor.
D. O lives on the third floor.
E. P lives on the fifth floor.
Level: Easy
Answer: Option E
Q 3. If J lives on the fourth floor and K lives on the fifth floor, which one of the following can be true?
A. O lives on the first floor.
B. Q lives on the fourth floor.
C. N lives on the fifth floor.
D. L lives on the fourth floor.
E. P lives on the third floor.
Level: Easy
Answer: Option A
Q 4. If O lives on the second floor, which one of the following CANNOT be true?
A. K lives on the fourth floor.
B. K lives on the fifth floor.
C. L lives on the first floor.
D. L lives on the third floor.
E. L lives on the fourth floor.
Level: Easy
Answer: Option E
Q 5. If M lives on the fourth floor, which one of the following must be false?
A. O lives on the fifth floor.
B. J lives on the first floor.
C. L lives on the second floor.
D. Q lives on the third floor.
E. P lives on the first floor.
Level: Easy
Answer: Option C
Q 6. Which one of the following must be true?
A. If J lives on the fourth floor, then Q does not live on the fifth floor.
B. If O lives on the second floor, then L does not live on the fourth floor.
C. If N lives on the fourth floor, then K does not live on the second floor.
D. If K lives on the third floor, then O does not live on the fifth floor.
E. If P lives on the fourth floor, then M does not live on the third floor.
Level: Easy
Answer: Option B
Q 7. If O lives on the fourth floor and P lives on the second floor, which one of the following must be true?
A. L lives on the first floor.
B. M lives on the third floor.
C. Q lives on the third floor.
D. N lives on the fifth floor.
E. Q lives on the fifth floor.
Level: Easy
Answer: Option C
Find Some Previous Year Conditional Questions for CAT
Question 4. Richa spends 14 days, exclusive of travel time, in a total of six cities.
A. Each city she visits is in one of three countries—X, Y, or Z.
B. Each of the three countries has many cities.
C. Richa visits at least one city in each of the three countries.
D. She spends at least two days in each city she visits.
E. She spends only whole days in any city.
Q 1. If Richa spends exactly eight days in the cities of country X, then which one of the following CANNOT be true?
A. She visits exactly two cities in country X.
B. She visits exactly two cities in country Y.
C. She visits exactly two cities in country Z.
D. She visits more cities in country Y than in country Z.
E. She visits more cities in country Z than in country Y.
Level: Easy
Answer: Option A
Q 2. If Richa visits an equal number of cities in each of the countries, what is the greatest total number of days she can spend visiting cities in country X?
A. 3
B. 4
C. 5
D. 6
E. 7
Level: Easy
Answer: Option D
Q 3. If Richa spends three days in the cities of country Y and seven days in the cities of country Z, then which one of the following must be false?
A. She visits more cities in country X than in country Y.
B. She visits exactly two cities in country X.
C. She visits more cities in country Z than in country X.
D. She visits exactly two cities in country Z.
E. She visits exactly three cities in country Z.
Level: Easy
Answer: Option D
Q 4. If the city of Nomo is in country X, and if Richa spends as many days as possible in Nomo and as few days as possible in each of the other cities that she visits, then which one of the following must be true?
A. Richa cannot visit any other cities in country X.
B. Richa can visit four cities in country Y.
C. Richa can spend six days in Nomo.
D. Richa cannot spend more than four days in country Z.
E. Richa can visit, at most, a total of four cities in countries Y and Z.
Level: Easy
Answer: Option B
Q 5. If Richa visits a combined total of four cities in countries X and Y, what is the greatest total number of days she can spend visiting cities in country Y?
A. 6
B. 7
C. 8
D. 9
E. 10
Level: Easy
Answer: Option C
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