Arrangements and Puzzles
21 IPMAT Indore Logical Reasoning previous year questions (PYQs) from 5 papers, 2022 to 2026, with answers, and worked solutions for some.
About this chapter
- Most-asked subtopic: Seating and Linear Arrangements (21).
- Updated 22 September 2026.
Try each question before you open its answer. Sign in, and the ones you get wrong come back in Fix your mistakes until you get them right.
#1ModerateSeating and Linear Arrangements
Five friends A, B, C, D, and E go on a trip together. Each of them likes at least one of the following three activities: Countryside Sightseeing, Shopping, and Adventure Sports such that: - No two friends like exactly the same set of activities. - A, B and E like exactly two activities each. - D likes only Countryside Sightseeing. - C likes more number of activities compared to D.#2ModerateSeating and Linear Arrangements
Five friends A, B, C, D, and E go on a trip together. Each of them likes at least one of the following three activities: Countryside Sightseeing, Shopping, and Adventure Sports such that: - No two friends like exactly the same set of activities. - A, B and E like exactly two activities each. - D likes only Countryside Sightseeing. - C likes more number of activities compared to D.#3ModerateSeating and Linear Arrangements
Five friends A, B, C, D, and E go on a trip together. Each of them likes at least one of the following three activities: Countryside Sightseeing, Shopping, and Adventure Sports such that: - No two friends like exactly the same set of activities. - A, B and E like exactly two activities each. - D likes only Countryside Sightseeing. - C likes more number of activities compared to D.#4ModerateSeating and Linear Arrangements
Five teams-A, B, C, D, and E — each consisting of 15 members, are going on expeditions to five different locations. Each team includes members from three different skill sets: biologists, geologists, and explorers. However, the number of members from each skill set varies by team and each member has only one speciality. The total number of biologists, geologists, and explorers are equal. The following additional information is available - Every team has at least 2 members from each of the three skill sets. - Teams C and D have 6 biologists each, and Team A has 6 geologists. - Every team except A has more biologists than explorers. - The number of explorers in each team is distinct and decreases in the order A, B, C, D, and E.#5ModerateSeating and Linear Arrangements
Five teams-A, B, C, D, and E — each consisting of 15 members, are going on expeditions to five different locations. Each team includes members from three different skill sets: biologists, geologists, and explorers. However, the number of members from each skill set varies by team and each member has only one speciality. The total number of biologists, geologists, and explorers are equal. The following additional information is available - Every team has at least 2 members from each of the three skill sets. - Teams C and D have 6 biologists each, and Team A has 6 geologists. - Every team except A has more biologists than explorers. - The number of explorers in each team is distinct and decreases in the order A, B, C, D, and E.#6ModerateSeating and Linear Arrangements
Five teams-A, B, C, D, and E — each consisting of 15 members, are going on expeditions to five different locations. Each team includes members from three different skill sets: biologists, geologists, and explorers. However, the number of members from each skill set varies by team and each member has only one speciality. The total number of biologists, geologists, and explorers are equal. The following additional information is available - Every team has at least 2 members from each of the three skill sets. - Teams C and D have 6 biologists each, and Team A has 6 geologists. - Every team except A has more biologists than explorers. - The number of explorers in each team is distinct and decreases in the order A, B, C, D, and E.#7ModerateSeating and Linear Arrangements
In an election there were five constituencies S1, S2, S3, S4 and S5 with 20 voters each all of whom voted. Three parties A, B and C contested the elections. The party that gets maximum number of votes in a constituency wins that seat. In every constituency there was a clear winner. The following additional information is available: - Total number of votes obtained by A, B and C across all constituencies are 49, 35 and 16 respectively - S2 and S3 were won by C while A won only S1. - Number of votes obtained by B in S1, S2, S3, S4 and S5 are distinct natural numbers in increasing order.#8ModerateSeating and Linear Arrangements
In an election there were five constituencies S1, S2, S3, S4 and S5 with 20 voters each all of whom voted. Three parties A, B and C contested the elections. The party that gets maximum number of votes in a constituency wins that seat. In every constituency there was a clear winner. The following additional information is available: - Total number of votes obtained by A, B and C across all constituencies are 49, 35 and 16 respectively - S2 and S3 were won by C while A won only S1. - Number of votes obtained by B in S1, S2, S3, S4 and S5 are distinct natural numbers in increasing order.#9ModerateSeating and Linear Arrangements
In an election there were five constituencies S1, S2, S3, S4 and S5 with 20 voters each all of whom voted. Three parties A, B and C contested the elections. The party that gets maximum number of votes in a constituency wins that seat. In every constituency there was a clear winner. The following additional information is available: - Total number of votes obtained by A, B and C across all constituencies are 49, 35 and 16 respectively - S2 and S3 were won by C while A won only S1. - Number of votes obtained by B in S1, S2, S3, S4 and S5 are distinct natural numbers in increasing order.#10ModerateSeating and Linear Arrangements
In an election there were five constituencies S1, S2, S3, S4 and S5 with 20 voters each all of whom voted. Three parties A, B and C contested the elections. The party that gets maximum number of votes in a constituency wins that seat. In every constituency there was a clear winner. The following additional information is available: - Total number of votes obtained by A, B and C across all constituencies are 49, 35 and 16 respectively - S2 and S3 were won by C while A won only S1. - Number of votes obtained by B in S1, S2, S3, S4 and S5 are distinct natural numbers in increasing order.#11ModerateSeating and Linear Arrangements
In an election there were five constituencies S1, S2, S3, S4 and S5 with 20 voters each all of whom voted. Three parties A, B and C contested the elections. The party that gets maximum number of votes in a constituency wins that seat. In every constituency there was a clear winner. The following additional information is available: - Total number of votes obtained by A, B and C across all constituencies are 49, 35 and 16 respectively - S2 and S3 were won by C while A won only S1. - Number of votes obtained by B in S1, S2, S3, S4 and S5 are distinct natural numbers in increasing order.#12ModerateSeating and Linear Arrangements
A pharmaceutical company has tested five drugs on three different organisms. The following incomplete table reports if a drug works on the given organism. For example, drug A works on organism R while B and C work on Q.Following additional information is available: - Each drug works on at least one organism but not more than two organisms. - Each organism can be treated with at least two and at most three of these five drugs. - On whichever organism A works, B also works. Similarly, on whichever organism C works. D also works. - D and E do not work on the same organism.Drug Organism P Organism Q Organism R A ✔ B ✔ C ✔ D E #13ModerateSeating and Linear Arrangements
A pharmaceutical company has tested five drugs on three different organisms. The following incomplete table reports if a drug works on the given organism. For example, drug A works on organism R while B and C work on Q.Following additional information is available: - Each drug works on at least one organism but not more than two organisms. - Each organism can be treated with at least two and at most three of these five drugs. - On whichever organism A works, B also works. Similarly, on whichever organism C works. D also works. - D and E do not work on the same organism.Drug Organism P Organism Q Organism R A ✔ B ✔ C ✔ D E #14ModerateSeating and Linear Arrangements
A pharmaceutical company has tested five drugs on three different organisms. The following incomplete table reports if a drug works on the given organism. For example, drug A works on organism R while B and C work on Q.Following additional information is available: - Each drug works on at least one organism but not more than two organisms. - Each organism can be treated with at least two and at most three of these five drugs. - On whichever organism A works, B also works. Similarly, on whichever organism C works. D also works. - D and E do not work on the same organism.Drug Organism P Organism Q Organism R A ✔ B ✔ C ✔ D E #15ModerateSeating and Linear Arrangements
A pharmaceutical company has tested five drugs on three different organisms. The following incomplete table reports if a drug works on the given organism. For example, drug A works on organism R while B and C work on Q.Following additional information is available: - Each drug works on at least one organism but not more than two organisms. - Each organism can be treated with at least two and at most three of these five drugs. - On whichever organism A works, B also works. Similarly, on whichever organism C works. D also works. - D and E do not work on the same organism.Drug Organism P Organism Q Organism R A ✔ B ✔ C ✔ D E #16ModerateSeating and Linear Arrangements
A pharmaceutical company has tested five drugs on three different organisms. The following incomplete table reports if a drug works on the given organism. For example, drug A works on organism R while B and C work on Q.Following additional information is available: - Each drug works on at least one organism but not more than two organisms. - Each organism can be treated with at least two and at most three of these five drugs. - On whichever organism A works, B also works. Similarly, on whichever organism C works. D also works. - D and E do not work on the same organism.Drug Organism P Organism Q Organism R A ✔ B ✔ C ✔ D E #17ModerateSeating and Linear Arrangements
A showroom is open on all seven days of the week throughout the year. There are five employees Alex, Bhabha, Cathy, Dilip and Ethan who work in the showroom. Every day except Sunday, two employees are required while on Sunday three employees need to work. Every employee works for three days in a week. Some additional information is also provided: - Every employee works on two consecutive days while the third day is not consecutive. - Alex and Dilip work together on Tuesday and Wednesday while the other working day differs for them. - Neither Bhabha nor Cathy works with Alex on any day. - Cathy does not work either on Saturday or on Monday.#18ModerateSeating and Linear Arrangements
A showroom is open on all seven days of the week throughout the year. There are five employees Alex, Bhabha, Cathy, Dilip and Ethan who work in the showroom. Every day except Sunday, two employees are required while on Sunday three employees need to work. Every employee works for three days in a week. Some additional information is also provided: - Every employee works on two consecutive days while the third day is not consecutive. - Alex and Dilip work together on Tuesday and Wednesday while the other working day differs for them. - Neither Bhabha nor Cathy works with Alex on any day. - Cathy does not work either on Saturday or on Monday.#19ModerateSeating and Linear Arrangements
A showroom is open on all seven days of the week throughout the year. There are five employees Alex, Bhabha, Cathy, Dilip and Ethan who work in the showroom. Every day except Sunday, two employees are required while on Sunday three employees need to work. Every employee works for three days in a week. Some additional information is also provided: - Every employee works on two consecutive days while the third day is not consecutive. - Alex and Dilip work together on Tuesday and Wednesday while the other working day differs for them. - Neither Bhabha nor Cathy works with Alex on any day. - Cathy does not work either on Saturday or on Monday.#20ModerateSeating and Linear Arrangements
A showroom is open on all seven days of the week throughout the year. There are five employees Alex, Bhabha, Cathy, Dilip and Ethan who work in the showroom. Every day except Sunday, two employees are required while on Sunday three employees need to work. Every employee works for three days in a week. Some additional information is also provided: - Every employee works on two consecutive days while the third day is not consecutive. - Alex and Dilip work together on Tuesday and Wednesday while the other working day differs for them. - Neither Bhabha nor Cathy works with Alex on any day. - Cathy does not work either on Saturday or on Monday.#21ModerateSeating and Linear Arrangements
A showroom is open on all seven days of the week throughout the year. There are five employees Alex, Bhabha, Cathy, Dilip and Ethan who work in the showroom. Every day except Sunday, two employees are required while on Sunday three employees need to work. Every employee works for three days in a week. Some additional information is also provided: - Every employee works on two consecutive days while the third day is not consecutive. - Alex and Dilip work together on Tuesday and Wednesday while the other working day differs for them. - Neither Bhabha nor Cathy works with Alex on any day. - Cathy does not work either on Saturday or on Monday.