Q1:

IPMAT Indore 2026

Arrangements

Easy

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.

The number of friends who like both Shopping and Adventure Sports is ___

Q2:

IPMAT Indore 2026

Arrangements

Easy

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.

The number of ways in which a pair of friends can be chosen for a trip from those who like Adventure Sports is ___

Q3:

IPMAT Indore 2026

Arrangements

Easy

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.

The number of friends that like Countryside Sightseeing is ___

Q4:

IPMAT Indore 2025

Arrangements

Medium

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.

The number of biologists in team E is _____

Q5:

IPMAT Indore 2025

Arrangements

Medium

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.

The number of teams having more geologists than biologists is ______

Q6:

IPMAT Indore 2025

Arrangements

Medium

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.

The median number of biologists across five teams is

Q7:

IPMAT Indore 2024

Arrangements

Hard

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.

The constituency in which B got lower number of votes compared to A and C is

Answer options
Option 3
Correct Answer
Explanation for IPMAT Indore 2024 MCQ question 7

Q8:

IPMAT Indore 2024

Arrangements

Hard

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.

The number of votes obtained by B in S2 is

Answer options
Option 3
Correct Answer
Explanation for IPMAT Indore 2024 MCQ question 8

Q9:

IPMAT Indore 2024

Arrangements

Hard

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.

The number of votes obtained by A in S5 is

Answer options
Option 3
Correct Answer
Explanation for IPMAT Indore 2024 MCQ question 9

Q10:

IPMAT Indore 2024

Arrangements

Hard

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.

Comparing the number votes obtained by A across different constituencies, the lowest number of votes were in constituency

Answer options
Option 4
Correct Answer
Explanation for IPMAT Indore 2024 MCQ question 10

Q11:

IPMAT Indore 2024

Arrangements

Hard

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.

Assume that A and C had formed an alliance and any voter who voted for either A or C would have voted for this alliance. Then the number of seats this alliance would have won is

Answer options
Option 3
Correct Answer
Explanation for IPMAT Indore 2024 MCQ question 11

Q12:

IPMAT Indore 2023

Arrangements

Easy

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.

DrugOrganism POrganism QOrganism R
A
B
C
D
E

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 E works on

Answer options
Option 4
Correct Answer
Explanation for IPMAT Indore 2023 MCQ question 12

Q13:

IPMAT Indore 2023

Arrangements

Easy

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.

DrugOrganism POrganism QOrganism R
A
B
C
D
E

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 D works on:

Answer options
Option 1
Correct Answer
Explanation for IPMAT Indore 2023 MCQ question 13

Q14:

IPMAT Indore 2023

Arrangements

Easy

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.

DrugOrganism POrganism QOrganism R
A
B
C
D
E

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.

The organism(s) that can be treated with three of these five drugs is(are)

Answer options
Option 4
Correct Answer
Explanation for IPMAT Indore 2023 MCQ question 14

Q15:

IPMAT Indore 2023

Arrangements

Easy

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.

DrugOrganism POrganism QOrganism R
A
B
C
D
E

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.

Organism R can be treated with

Answer options
Option 4
Correct Answer
Explanation for IPMAT Indore 2023 MCQ question 15

Q16:

IPMAT Indore 2023

Arrangements

Easy

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.

DrugOrganism POrganism QOrganism R
A
B
C
D
E

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.

Organism P can be treated with:

Answer options
Option 1
Correct Answer
Explanation for IPMAT Indore 2023 MCQ question 16

Q17:

IPMAT Indore 2022

Arrangements

Easy

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.

Number of days Bhabha and Cathy work together in a week is

Answer options
Option 4
Correct Answer
Explanation for IPMAT Indore 2022 MCQ question 17

Q18:

IPMAT Indore 2022

Arrangements

Easy

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.

Which among the following employees do not work together on any of the days?

Answer options
Option 4
Correct Answer
Explanation for IPMAT Indore 2022 MCQ question 18

Q19:

IPMAT Indore 2022

Arrangements

Easy

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.

One of the days Alex works on is

Answer options
Option 4
Correct Answer
Explanation for IPMAT Indore 2022 MCQ question 19

Q20:

IPMAT Indore 2022

Arrangements

Easy

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.

The consecutive days on which Ethan works are

Answer options
Option 3
Correct Answer
Explanation for IPMAT Indore 2022 MCQ question 20

Q21:

IPMAT Indore 2022

Arrangements

Easy

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.

Employees who work on Sunday are

Answer options
Option 1
Correct Answer
Explanation for IPMAT Indore 2022 MCQ question 21