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Selections and Grouping || Logical Reasoning || CAT 2021 || 10 April (App update required to attempt this test)

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Question 1

Direction: Study the following information and answer the given questions.

All ten scientists, A through J, are to be divided into three teams such that no team has less than two or more than 4 scientists in it. While forming teams we have to adhere to the following conditions:

(i) No two of C, H and J can be put in the same team.

(ii) D and A are to be put in the same team.

(iii) B and I cannot be put in the same team.

(iv) If E is put in a team then F must be put in that team with E but G cannot be put in that team with E.

(v) If A is put in a team then that team cannot have more than 3 scientists in it.

If H and I are put in the same team then what will be the total number of members in that team?

Question 2

Direction: Study the following information and answer the given questions.

All ten scientists, A through J, are to be divided into three teams such that no team has less than two or more than 4 scientists in it. While forming teams we have to adhere to the following conditions:

(i) No two of C, H and J can be put in the same team.

(ii) D and A are to be put in the same team.

(iii) B and I cannot be put in the same team.

(iv) If E is put in a team then F must be put in that team with E but G cannot be put in that team with E.

(v) If A is put in a team then that team cannot have more than 3 scientists in it.

If J and G are put in the same team then who among the following can be put in the team whose one member is C?

Question 3

Direction: Study the following information and answer the given questions.

All ten scientists, A through J, are to be divided into three teams such that no team has less than two or more than 4 scientists in it. While forming teams we have to adhere to the following conditions:

(i) No two of C, H and J can be put in the same team.

(ii) D and A are to be put in the same team.

(iii) B and I cannot be put in the same team.

(iv) If E is put in a team then F must be put in that team with E but G cannot be put in that team with E.

(v) If A is put in a team then that team cannot have more than 3 scientists in it.

At most how many of the three teams can have exactly 2 scientists in them?

Question 4

Direction: Study the following information and answer the given questions.

All ten scientists, A through J, are to be divided into three teams such that no team has less than two or more than 4 scientists in it. While forming teams we have to adhere to the following conditions:

(i) No two of C, H and J can be put in the same team.

(ii) D and A are to be put in the same team.

(iii) B and I cannot be put in the same team.

(iv) If E is put in a team then F must be put in that team with E but G cannot be put in that team with E.

(v) If A is put in a team then that team cannot have more than 3 scientists in it.

In how many different ways the ten scientists can be divided into three different teams?

Question 5

In an archery match, Suresh’s team got more scores than Mahesh’s team but not as many as Yogesh’s team. Yogesh’s team got more scores than Mukesh’s team. Mukesh’s team got less score than Mahesh’s team.

Which team is in second place in the descending order of scores?

Question 6

Direction: Read the information carefully and answer the given question .

K, L, M, N, P, Q, R, S, U and W are the only ten members in a department. There is a proposal to form a team from within the members of the department. Subject to the following conditions:
· A team must include exactly one among P, R, and S.
· A team must include either M or Q, but not both.
· If a team includes K then it must also include L, and vice versa.
· If a team includes one among S. U. and W, then it must also include the other two.
· L and N cannot be members of the same team.
· L and U cannot be members of the same team.
The size of a term is defined as the number of members in the team.
Who cannot be a member of a team of size 3?

Question 7

Direction: Read the information carefully and answer the given question .

K, L, M, N, P, Q, R, S, U and W are the only ten members in a department. There is a proposal to form a team from within the members of the department. Subject to the following conditions:
· A team must include exactly one among P, R, and S.
· A team must include either M or Q, but not both.
· If a team includes K then it must also include L, and vice versa.
· If a team includes one among S. U. and W, then it must also include the other two.
· L and N cannot be members of the same team.
· L and U cannot be members of the same team.
The size of a term is defined as the number of members in the team.
Who can be a member of the team of size 5 when P is already chosen as a member?

Question 8

Direction: Read the information carefully and answer the given question .

K, L, M, N, P, Q, R, S, U and W are the only ten members in a department. There is a proposal to form a team from within the members of the department. Subject to the following conditions:
· A team must include exactly one among P, R, and S.
· A team must include either M or Q, but not both.
· If a team includes K then it must also include L, and vice versa.
· If a team includes one among S. U. and W, then it must also include the other two.
· L and N cannot be members of the same team.
· L and U cannot be members of the same team.
The size of a term is defined as the number of members in the team.
What would be the size of the largest possible team?

Question 9

Direction: Read the information carefully and answer the given question .

K, L, M, N, P, Q, R, S, U and W are the only ten members in a department. There is a proposal to form a team from within the members of the department. Subject to the following conditions:
· A team must include exactly one among P, R, and S.
· A team must include either M or Q, but not both.
· If a team includes K then it must also include L, and vice versa.
· If a team includes one among S. U. and W, then it must also include the other two.
· L and N cannot be members of the same team.
· L and U cannot be members of the same team.
The size of a term is defined as the number of members in the team.
In how many ways a team can be constituted so that the team includes N?

Question 10

Direction: Read the information carefully and answer the given question .

K, L, M, N, P, Q, R, S, U and W are the only ten members in a department. There is a proposal to form a team from within the members of the department. Subject to the following conditions:
· A team must include exactly one among P, R, and S.
· A team must include either M or Q, but not both.
· If a team includes K then it must also include L, and vice versa.
· If a team includes one among S. U. and W, then it must also include the other two.
· L and N cannot be members of the same team.
· L and U cannot be members of the same team.
The size of a term is defined as the number of members in the team.
What could be the size of team that includes K?
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