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Directions for Questions: Answer the questions on the basis of the information given below.
A group has to be selected from seven persons containing two women (Rehana and Kavya) and five men (Rohit, Rahul, Kamal, Nusarat and John). Rohit would not like to be in the group if Rahul is selected. Rahul and John want to be selected together in the group. Kavya would like to be in the group only if Kamal is also there. Kamal, if selected, would not like Nusarat in the group.
Rohit would like to be in the group only if Nusarat is also there. Kamal insists that Rehana must be selected in case he is there in the group.
(2015)
Q. If a group of five members has to be selected, then in how many ways is it possible such that Kamal is definitely a member of the group?
  • a)
    1
  • b)
    0
  • c)
    2
  • d)
    3
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Directions for Questions: Answer the questions on the basis of the inf...
Given information:
- Group contains 2 women (Rehana and Kavya) and 5 men (Rohit, Rahul, Kamal, Nusarat, and John).
- Rohit does not want to be in the group if Rahul is selected.
- Rahul and John want to be selected together in the group.
- Kavya wants to be in the group only if Kamal is also there.
- Kamal does not want Nusarat in the group.
- Rohit wants to be in the group only if Nusarat is also there.
- Kamal insists that Rehana must be selected if he is there in the group.

To find:
Number of ways to select a group of 5 members such that Kamal is definitely a member.

Solution:
To solve this problem, we will consider the given constraints one by one and select the members accordingly.

1. Kamal is definitely a member:
- Since Kamal must be selected, we have 1 member fixed.

2. Kamal insists on selecting Rehana:
- If Kamal is selected, Rehana must also be selected. Therefore, we have 2 members fixed.

3. Rohit wants Nusarat to be selected:
- If Rohit is selected, Nusarat must also be selected. Therefore, we have 3 members fixed.

4. Rahul and John want to be selected together:
- Since Rahul and John want to be together, we can consider them as a single entity.
- Therefore, we have 4 members fixed.

5. Kavya wants Kamal to be selected:
- If Kavya is selected, Kamal must also be selected. Therefore, we have 5 members fixed.

Now, we have 5 members fixed, and we need to select 1 more member from the remaining 2 options (Rohit and Nusarat).

Since Rohit does not want to be in the group if Rahul is selected, and Rahul is already selected as part of the fixed members, Rohit cannot be selected. Therefore, the only option remaining is Nusarat.

Therefore, there is only 1 way to select a group of 5 members such that Kamal is definitely a member.

Answer:
The number of ways to select a group of 5 members such that Kamal is definitely a member is 1.
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Community Answer
Directions for Questions: Answer the questions on the basis of the inf...
The only possible group: Kamal, Kavya, Rehana, Rahul and John.
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Directions for Questions: Answer the questions on the basis of the information given below.A group has to be selected from seven persons containing two women (Rehana and Kavya) and five men (Rohit, Rahul, Kamal, Nusarat and John). Rohit would not like to be in the group if Rahul is selected. Rahul and John want to be selected together in the group. Kavya would like to be in the group only if Kamal is also there. Kamal, if selected, would not like Nusarat in the group.Rohit would like to be in the group only if Nusarat is also there. Kamal insists that Rehana must be selected in case he is there in the group.(2015)Q.If a group of five members has to be selected, then in how many ways is it possible such that Kamal is definitely a member of the group?a)1b)0c)2d)3Correct answer is option 'A'. Can you explain this answer?
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Directions for Questions: Answer the questions on the basis of the information given below.A group has to be selected from seven persons containing two women (Rehana and Kavya) and five men (Rohit, Rahul, Kamal, Nusarat and John). Rohit would not like to be in the group if Rahul is selected. Rahul and John want to be selected together in the group. Kavya would like to be in the group only if Kamal is also there. Kamal, if selected, would not like Nusarat in the group.Rohit would like to be in the group only if Nusarat is also there. Kamal insists that Rehana must be selected in case he is there in the group.(2015)Q.If a group of five members has to be selected, then in how many ways is it possible such that Kamal is definitely a member of the group?a)1b)0c)2d)3Correct answer is option 'A'. 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 Directions for Questions: Answer the questions on the basis of the information given below.A group has to be selected from seven persons containing two women (Rehana and Kavya) and five men (Rohit, Rahul, Kamal, Nusarat and John). Rohit would not like to be in the group if Rahul is selected. Rahul and John want to be selected together in the group. Kavya would like to be in the group only if Kamal is also there. Kamal, if selected, would not like Nusarat in the group.Rohit would like to be in the group only if Nusarat is also there. Kamal insists that Rehana must be selected in case he is there in the group.(2015)Q.If a group of five members has to be selected, then in how many ways is it possible such that Kamal is definitely a member of the group?a)1b)0c)2d)3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions for Questions: Answer the questions on the basis of the information given below.A group has to be selected from seven persons containing two women (Rehana and Kavya) and five men (Rohit, Rahul, Kamal, Nusarat and John). Rohit would not like to be in the group if Rahul is selected. Rahul and John want to be selected together in the group. Kavya would like to be in the group only if Kamal is also there. Kamal, if selected, would not like Nusarat in the group.Rohit would like to be in the group only if Nusarat is also there. Kamal insists that Rehana must be selected in case he is there in the group.(2015)Q.If a group of five members has to be selected, then in how many ways is it possible such that Kamal is definitely a member of the group?a)1b)0c)2d)3Correct answer is option 'A'. Can you explain this answer?.
Solutions for Directions for Questions: Answer the questions on the basis of the information given below.A group has to be selected from seven persons containing two women (Rehana and Kavya) and five men (Rohit, Rahul, Kamal, Nusarat and John). Rohit would not like to be in the group if Rahul is selected. Rahul and John want to be selected together in the group. Kavya would like to be in the group only if Kamal is also there. Kamal, if selected, would not like Nusarat in the group.Rohit would like to be in the group only if Nusarat is also there. Kamal insists that Rehana must be selected in case he is there in the group.(2015)Q.If a group of five members has to be selected, then in how many ways is it possible such that Kamal is definitely a member of the group?a)1b)0c)2d)3Correct answer is option 'A'. 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.
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