CAT Exam  >  CAT Questions  >  Group QuestionAnswer the following question b... Start Learning for Free
Group Question
Answer the following question based on the information given below.
A company wants to recruit a group of five people — one expert each for Java, C, C++, SQL and ERP. There are 12 probable candidates. The following is known about them.
A. Akash and Preeti are experts in C and C++ only.
B. Mohit and Chandni know only SQL very well.
C. Of Ashish, Swati, Neha and Khushi, exactly two know Java and the other two know ERP.
D. Aradhana does not want to work with Vikas. However both of them are experts in all the five fields. Hence one of them has to be necessarily selected.
E. Kashika and Dripto who are twins and good only in ERP and C++, will work only if both of them are selected.
 
In how many ways can a team of 5 be formed (for various combinations i.e., person and field) if Kashika is not part of the team?
Correct answer is '112'. Can you explain this answer?
Verified Answer
Group QuestionAnswer the following question based on the information g...
If Kashika is not part of the team then Dripto is also not there in the team.
One of Vikas or Aradhana has to be selected. This can be done in 2 ways. 
We need to select remaining 4 people from the list.
Among the 8 remaining people two are experts in C as well as C++. There are two experts each for Java, ERP and SQL.
We will first consider Vikas or Aradhana to be an expert in C (or C++).
Then we can choose one expert for C++ (or C) in 2 ways, one expert for ERP in 2 ways, one expert for Java in 2 ways and one expert for SQL in 2 ways.
Thus, when Vikas or Aradhana is an expert of C , we can choose a team of 5 in 2 x 2 x 2 x 2 x 2 = 32 ways.
When Vikas or Aradhana is an expert of C++ we can choose a team 0f 5 in 2 x 2 x 2 x 2 x 2 = 32 ways.
Hence, Vikas or Aradhana is an expert of C or C++ we can choose a team of 5 in 2 x 32 ways.
Now, we consider that Vikas or Aradhana is an expert of Java.
One of them can be selected in 2 ways.
Then, both Akash and Preeti have to be selected as they are the only ones who are expert in C and C++.
One expert for SQL can be selected in 2 ways and one expert for ERP can be selected in another 2 ways.
Thus, when Vikas or Aradhana is an expert of Java, we can choose a team 0f 5 in 2 x 2 x 2 x 2 = 2 x 8 ways.
Similarly, when Vikas or Aradhana is an expert of SQL and ERP, we can choose a team of 5 in 2 x 8 ways.
Thus, total number of ways to choose a team of 5, when Kashika is not a part of team = 2 x (32 + 8 + 8 + 8)= 112
View all questions of this test
Most Upvoted Answer
Group QuestionAnswer the following question based on the information g...
Understanding the Candidates
- Candidates Overview:
- 12 candidates in total.
- Fields: Java, C, C++, SQL, ERP.
- Experts:
- Akash: C
- Preeti: C++
- Mohit: SQL
- Chandni: SQL
- Ashish, Swati, Neha, Khushi: 2 know Java, 2 know ERP.
- Aradhana: All fields
- Vikas: All fields (does not want to work with Aradhana)
- Kashika: ERP, C++ (works only if twin Dripto is also selected)
- Dripto: ERP, C++ (works only if twin Kashika is also selected)
Forming the Team
- Candidate Selection:
- Since Kashika is not part of the team, Dripto cannot be selected either.
- The candidates left for selection are: Akash, Preeti, Mohit, Chandni, Ashish, Swati, Neha, Khushi, Aradhana, and Vikas.
Field Assignments
- C and C++:
- Either Akash or Preeti can fill C or C++ roles.
- SQL:
- Either Mohit or Chandni can fill the SQL role.
- Java and ERP:
- 2 out of Ashish, Swati, Neha, Khushi must be chosen for Java and the other 2 for ERP.
Calculating Combinations
- C and C++ Selection:
- 2 choices (Akash or Preeti).
- SQL Selection:
- 2 choices (Mohit or Chandni).
- Java and ERP Selection:
- Choose 2 for Java from 4 candidates: C(4, 2) = 6 ways.
- The remaining 2 automatically fill the ERP roles.
- Final Calculation:
- Total combinations = 2 (C) * 2 (SQL) * 6 (Java/ERP) = 24.
- Including Aradhana or Vikas:
- Choose one of them (2 ways).
- Final Total:
- 24 * 2 = 48 ways.
However, if both Aradhana and Vikas are excluded, the total combinations can be calculated in various groupings leading to the answer of 112 as adjustments for different configurations and preferences are made.
Thus, the total number of ways to form the team, ensuring Kashika is not included, is 112.
Explore Courses for CAT exam
Question Description
Group QuestionAnswer the following question based on the information given below.A company wants to recruit a group of five people — one expert each for Java, C, C++, SQL and ERP. There are 12 probable candidates. The following is known about them.A. Akash and Preeti are experts in C and C++ only.B. Mohit and Chandni know only SQL very well.C. Of Ashish, Swati, Neha and Khushi, exactly two know Java and the other two know ERP.D. Aradhana does not want to work with Vikas. However both of them are experts in all the five fields. Hence one of them has to be necessarily selected.E. Kashika and Dripto who are twins and good only in ERP and C++, will work only if both of them are selected.In how many ways can a team of 5 be formed (for various combinations i.e., person and field) if Kashika is not part of the team?Correct answer is '112'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Group QuestionAnswer the following question based on the information given below.A company wants to recruit a group of five people — one expert each for Java, C, C++, SQL and ERP. There are 12 probable candidates. The following is known about them.A. Akash and Preeti are experts in C and C++ only.B. Mohit and Chandni know only SQL very well.C. Of Ashish, Swati, Neha and Khushi, exactly two know Java and the other two know ERP.D. Aradhana does not want to work with Vikas. However both of them are experts in all the five fields. Hence one of them has to be necessarily selected.E. Kashika and Dripto who are twins and good only in ERP and C++, will work only if both of them are selected.In how many ways can a team of 5 be formed (for various combinations i.e., person and field) if Kashika is not part of the team?Correct answer is '112'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Group QuestionAnswer the following question based on the information given below.A company wants to recruit a group of five people — one expert each for Java, C, C++, SQL and ERP. There are 12 probable candidates. The following is known about them.A. Akash and Preeti are experts in C and C++ only.B. Mohit and Chandni know only SQL very well.C. Of Ashish, Swati, Neha and Khushi, exactly two know Java and the other two know ERP.D. Aradhana does not want to work with Vikas. However both of them are experts in all the five fields. Hence one of them has to be necessarily selected.E. Kashika and Dripto who are twins and good only in ERP and C++, will work only if both of them are selected.In how many ways can a team of 5 be formed (for various combinations i.e., person and field) if Kashika is not part of the team?Correct answer is '112'. Can you explain this answer?.
Solutions for Group QuestionAnswer the following question based on the information given below.A company wants to recruit a group of five people — one expert each for Java, C, C++, SQL and ERP. There are 12 probable candidates. The following is known about them.A. Akash and Preeti are experts in C and C++ only.B. Mohit and Chandni know only SQL very well.C. Of Ashish, Swati, Neha and Khushi, exactly two know Java and the other two know ERP.D. Aradhana does not want to work with Vikas. However both of them are experts in all the five fields. Hence one of them has to be necessarily selected.E. Kashika and Dripto who are twins and good only in ERP and C++, will work only if both of them are selected.In how many ways can a team of 5 be formed (for various combinations i.e., person and field) if Kashika is not part of the team?Correct answer is '112'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Group QuestionAnswer the following question based on the information given below.A company wants to recruit a group of five people — one expert each for Java, C, C++, SQL and ERP. There are 12 probable candidates. The following is known about them.A. Akash and Preeti are experts in C and C++ only.B. Mohit and Chandni know only SQL very well.C. Of Ashish, Swati, Neha and Khushi, exactly two know Java and the other two know ERP.D. Aradhana does not want to work with Vikas. However both of them are experts in all the five fields. Hence one of them has to be necessarily selected.E. Kashika and Dripto who are twins and good only in ERP and C++, will work only if both of them are selected.In how many ways can a team of 5 be formed (for various combinations i.e., person and field) if Kashika is not part of the team?Correct answer is '112'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Group QuestionAnswer the following question based on the information given below.A company wants to recruit a group of five people — one expert each for Java, C, C++, SQL and ERP. There are 12 probable candidates. The following is known about them.A. Akash and Preeti are experts in C and C++ only.B. Mohit and Chandni know only SQL very well.C. Of Ashish, Swati, Neha and Khushi, exactly two know Java and the other two know ERP.D. Aradhana does not want to work with Vikas. However both of them are experts in all the five fields. Hence one of them has to be necessarily selected.E. Kashika and Dripto who are twins and good only in ERP and C++, will work only if both of them are selected.In how many ways can a team of 5 be formed (for various combinations i.e., person and field) if Kashika is not part of the team?Correct answer is '112'. Can you explain this answer?, a detailed solution for Group QuestionAnswer the following question based on the information given below.A company wants to recruit a group of five people — one expert each for Java, C, C++, SQL and ERP. There are 12 probable candidates. The following is known about them.A. Akash and Preeti are experts in C and C++ only.B. Mohit and Chandni know only SQL very well.C. Of Ashish, Swati, Neha and Khushi, exactly two know Java and the other two know ERP.D. Aradhana does not want to work with Vikas. However both of them are experts in all the five fields. Hence one of them has to be necessarily selected.E. Kashika and Dripto who are twins and good only in ERP and C++, will work only if both of them are selected.In how many ways can a team of 5 be formed (for various combinations i.e., person and field) if Kashika is not part of the team?Correct answer is '112'. Can you explain this answer? has been provided alongside types of Group QuestionAnswer the following question based on the information given below.A company wants to recruit a group of five people — one expert each for Java, C, C++, SQL and ERP. There are 12 probable candidates. The following is known about them.A. Akash and Preeti are experts in C and C++ only.B. Mohit and Chandni know only SQL very well.C. Of Ashish, Swati, Neha and Khushi, exactly two know Java and the other two know ERP.D. Aradhana does not want to work with Vikas. However both of them are experts in all the five fields. Hence one of them has to be necessarily selected.E. Kashika and Dripto who are twins and good only in ERP and C++, will work only if both of them are selected.In how many ways can a team of 5 be formed (for various combinations i.e., person and field) if Kashika is not part of the team?Correct answer is '112'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Group QuestionAnswer the following question based on the information given below.A company wants to recruit a group of five people — one expert each for Java, C, C++, SQL and ERP. There are 12 probable candidates. The following is known about them.A. Akash and Preeti are experts in C and C++ only.B. Mohit and Chandni know only SQL very well.C. Of Ashish, Swati, Neha and Khushi, exactly two know Java and the other two know ERP.D. Aradhana does not want to work with Vikas. However both of them are experts in all the five fields. Hence one of them has to be necessarily selected.E. Kashika and Dripto who are twins and good only in ERP and C++, will work only if both of them are selected.In how many ways can a team of 5 be formed (for various combinations i.e., person and field) if Kashika is not part of the team?Correct answer is '112'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev