Reasoning Aptitude
PUZZLES TEST MCQs
Total Questions : 191
| Page 15 of 20 pages
Question 141.
[X.A.T. 2005; M.B.A. 2004]
If both Y and Z are selected, which of the executives must be on the team with them?
Directions: Read the following information carefully to answer the given questions:
A company wants to select a team of four call centre executives from its South Indian centre for transfer to North India where they are going to set up a new centre. The company is managed by professional managers and is very particular about human resources and personnel relations. There are seven team members of equal ability X, Y and Z (who are senior), and A, B, C and D (who are junior). The company requires that there should be two senior executives and two junior executives in the team. It is also necessary that all of the executives in a particular team are friendly with each other in order to have a real team spirit and avoid any personnel relations problem in the new centre being set up in the North. Following is the situation of relations among the seven executives. (i) Y and A are not friendly. (ii) Z and C are not friendly. (iii) A and B are not friendly.[X.A.T. 2005; M.B.A. 2004]
If both Y and Z are selected, which of the executives must be on the team with them?
Answer: Option B. -> Both B and D
Answer: (b)
If Y and Z are selected, then by (i) and (ii), A and C cannot be selected.
Thus, the two junior executives in the team must be B and D.
Answer: (b)
If Y and Z are selected, then by (i) and (ii), A and C cannot be selected.
Thus, the two junior executives in the team must be B and D.
Question 142.
[U.P.S.C. 2005]
If C is sent to the new office, then which member of the staff cannot go with C?
Directions: Read the following information carefully to answer the given questions:
XYZ Ltd. Presently has three accounts assistants - A, B and C - and five accounts officers - D, E, F, G and H. Its management is planning to open a new office in another city using three accounts officers and two accounts assistants from its present staff. The following guidelines have been established to set up the new office: (i) A and C are constantly finding faults with each other and should not be sent as members of the same team. (ii) C and E function well alone but not as a team. They should not be sent as members of the same team. (iii) D and G do not enjoy good relation. They should not be sent as members of the same team. (iv) Since D and F have been completing for a promotion, they should not be sent as members of the same team.[U.P.S.C. 2005]
If C is sent to the new office, then which member of the staff cannot go with C?
Answer: Option A. -> D
Answer: (a)
If C is selected, A cannot be selected. So, B must be selected. Now, if C is selected, E cannot be selected. So, three accounts officers have to be selected from amongst D, F, G and H.
But, if D is selected, neither F nor G can be selected. So, D cannot be selected and F, G, H must be selected.
Answer: (a)
If C is selected, A cannot be selected. So, B must be selected. Now, if C is selected, E cannot be selected. So, three accounts officers have to be selected from amongst D, F, G and H.
But, if D is selected, neither F nor G can be selected. So, D cannot be selected and F, G, H must be selected.
Question 143.
[U.P.S.C. 2005]
Under the guidelines developed, which of the following must go to the new office?
Directions: Read the following information carefully to answer the given questions:
XYZ Ltd. Presently has three accounts assistants - A, B and C - and five accounts officers - D, E, F, G and H. Its management is planning to open a new office in another city using three accounts officers and two accounts assistants from its present staff. The following guidelines have been established to set up the new office: (i) A and C are constantly finding faults with each other and should not be sent as members of the same team. (ii) C and E function well alone but not as a team. They should not be sent as members of the same team. (iii) D and G do not enjoy good relation. They should not be sent as members of the same team. (iv) Since D and F have been completing for a promotion, they should not be sent as members of the same team.[U.P.S.C. 2005]
Under the guidelines developed, which of the following must go to the new office?
Answer: Option A. -> B
Answer: (a)
Since two accounts assistants have to be taken and A and C cannot be teamed together,
so B has to be selected along with either A or C.
Answer: (a)
Since two accounts assistants have to be taken and A and C cannot be teamed together,
so B has to be selected along with either A or C.
Question 144.
[A.T.M.A. 2006]
If P is a representative, which of the following cannot also be a representative?
Directions: Read the data given below to answer the questions:
The director of a B-school wishes to select four members of a faculty-student committee as representatives to meet with the school's board of directors. The faculty-student committee consist exactly four faculty members - K, L, M and N - and four students - P, Q, R and S. The director can select any of the committee members as representatives as long as he observes the following restrictions: (i) The group of four representatives must consist of exactly two faculty members and two students. (ii) Either K or L must be one of the representatives, but K and L cannot both be representatives. (iii) If P is a representatives, M must also be a representative. (iv) If R is a representatives, L cannot be a representative.[A.T.M.A. 2006]
If P is a representative, which of the following cannot also be a representative?
Answer: Option A. -> N
Answer: (a)
If P is a representative, M must also be a representative.
Hence, N cannot be the second member from faculty as either K or L must be one of the representatives.
Answer: (a)
If P is a representative, M must also be a representative.
Hence, N cannot be the second member from faculty as either K or L must be one of the representatives.
Question 145.
[U.P.S.C. 2005]
Under the guidelines developed, which one of the following is the possible number of different teams which can be sent to the new office?
Directions: Read the following information carefully to answer the given questions:
XYZ Ltd. Presently has three accounts assistants - A, B and C - and five accounts officers - D, E, F, G and H. Its management is planning to open a new office in another city using three accounts officers and two accounts assistants from its present staff. The following guidelines have been established to set up the new office: (i) A and C are constantly finding faults with each other and should not be sent as members of the same team. (ii) C and E function well alone but not as a team. They should not be sent as members of the same team. (iii) D and G do not enjoy good relation. They should not be sent as members of the same team. (iv) Since D and F have been completing for a promotion, they should not be sent as members of the same team.[U.P.S.C. 2005]
Under the guidelines developed, which one of the following is the possible number of different teams which can be sent to the new office?
Answer: Option A. -> 6
Answer: (a)
As discussed in Q. 35, the two accounts assistants taken must be (A, B) or (B, C). If D is selected along with (A, B), then neither F nor G can be selected. So, E and H must be selected and the team becomes A, B, D, E, H.
If D is not selected and E is selected along with (A, B), then the remaining two accounts officers selected may be (F, G) or (G, H) or (F, H).
Thus, the possible teams are A, B, E, F, G; A, B, E, G, H and A, B, E, F, H. If neither D or E is selected, then F, G and H may be selected along with (A, B) and the team becomes A, B, F, G, H. If (B, C) is selected, then E cannot be selected.
So, three accounts officers have to be selected from amongst D, F, G and H. But, if D is selected, neither F nor G can be selected. So, D cannot be selected and F, G, H must be selected.
Thus, the team becomes B, C, F, G, H. Thus, the total number of possible teams is 6 - (A, B, D, E, H); (A, B, E, F, G); (A, B, E, G, H); (A, B, E, F, H); (A, B, F, G, H); (B, C, F, G, H).
Answer: (a)
As discussed in Q. 35, the two accounts assistants taken must be (A, B) or (B, C). If D is selected along with (A, B), then neither F nor G can be selected. So, E and H must be selected and the team becomes A, B, D, E, H.
If D is not selected and E is selected along with (A, B), then the remaining two accounts officers selected may be (F, G) or (G, H) or (F, H).
Thus, the possible teams are A, B, E, F, G; A, B, E, G, H and A, B, E, F, H. If neither D or E is selected, then F, G and H may be selected along with (A, B) and the team becomes A, B, F, G, H. If (B, C) is selected, then E cannot be selected.
So, three accounts officers have to be selected from amongst D, F, G and H. But, if D is selected, neither F nor G can be selected. So, D cannot be selected and F, G, H must be selected.
Thus, the team becomes B, C, F, G, H. Thus, the total number of possible teams is 6 - (A, B, D, E, H); (A, B, E, F, G); (A, B, E, G, H); (A, B, E, F, H); (A, B, F, G, H); (B, C, F, G, H).
Question 146.
[U.P.S.C. 2005]
if D goes to the new office, then which of the following is/are correct? 1. C cannot go. 2. A cannot go. 3. H must also go.
Directions: Read the following information carefully to answer the given questions:
XYZ Ltd. Presently has three accounts assistants - A, B and C - and five accounts officers - D, E, F, G and H. Its management is planning to open a new office in another city using three accounts officers and two accounts assistants from its present staff. The following guidelines have been established to set up the new office: (i) A and C are constantly finding faults with each other and should not be sent as members of the same team. (ii) C and E function well alone but not as a team. They should not be sent as members of the same team. (iii) D and G do not enjoy good relation. They should not be sent as members of the same team. (iv) Since D and F have been completing for a promotion, they should not be sent as members of the same team.[U.P.S.C. 2005]
if D goes to the new office, then which of the following is/are correct? 1. C cannot go. 2. A cannot go. 3. H must also go.
Answer: Option D. -> 1 and 3
Answer: (d)
If D is selected, neither F nor G can be selected. So, the other two accounts officers selected must be E and H.
If E is selected, then C must noy be selected. So, the two accounts assistants selected must be A and B.
Answer: (d)
If D is selected, neither F nor G can be selected. So, the other two accounts officers selected must be E and H.
If E is selected, then C must noy be selected. So, the two accounts assistants selected must be A and B.
Question 147.
[A.T.M.A. 2006]
If L, N and Q are representatives, which of the following must also be a representatives?
Directions: Read the data given below to answer the questions:
The director of a B-school wishes to select four members of a faculty-student committee as representatives to meet with the school's board of directors. The faculty-student committee consist exactly four faculty members - K, L, M and N - and four students - P, Q, R and S. The director can select any of the committee members as representatives as long as he observes the following restrictions: (i) The group of four representatives must consist of exactly two faculty members and two students. (ii) Either K or L must be one of the representatives, but K and L cannot both be representatives. (iii) If P is a representatives, M must also be a representative. (iv) If R is a representatives, L cannot be a representative.[A.T.M.A. 2006]
If L, N and Q are representatives, which of the following must also be a representatives?
Answer: Option B. -> S
Answer: (b)
From (iv), if L is a representative, R cannot be a representative. If L and N are the two representatives from faculty members, P cannot be a representative from students because if P is a representative, M must also be a representative.
Hence, if L, N and Q are representatives, R must be the second member from students in the committee.
Answer: (b)
From (iv), if L is a representative, R cannot be a representative. If L and N are the two representatives from faculty members, P cannot be a representative from students because if P is a representative, M must also be a representative.
Hence, if L, N and Q are representatives, R must be the second member from students in the committee.
Question 148.
[A.T.M.A. 2006]
If R is a representative and M is not a representative, the group of representatives would be completely determined if it were also true that
Directions: Read the data given below to answer the questions:
The director of a B-school wishes to select four members of a faculty-student committee as representatives to meet with the school's board of directors. The faculty-student committee consist exactly four faculty members - K, L, M and N - and four students - P, Q, R and S. The director can select any of the committee members as representatives as long as he observes the following restrictions: (i) The group of four representatives must consist of exactly two faculty members and two students. (ii) Either K or L must be one of the representatives, but K and L cannot both be representatives. (iii) If P is a representatives, M must also be a representative. (iv) If R is a representatives, L cannot be a representative.[A.T.M.A. 2006]
If R is a representative and M is not a representative, the group of representatives would be completely determined if it were also true that
Answer: Option B. -> S is not a representative.
Answer: (b)
If R is a representative, L cannot be a representative. Also, M is not a representative. So, K and N are the representatives from faculty members.
From (iii), since M is not a representative, so P cannot be a representative from students.
Thus, either Q or S is the second representative from students.
Answer: (b)
If R is a representative, L cannot be a representative. Also, M is not a representative. So, K and N are the representatives from faculty members.
From (iii), since M is not a representative, so P cannot be a representative from students.
Thus, either Q or S is the second representative from students.
Question 149.
[A.T.M.A. 2006]
If L is a representative, which of the following can be the order three representatives?
Directions: Read the data given below to answer the questions:
The director of a B-school wishes to select four members of a faculty-student committee as representatives to meet with the school's board of directors. The faculty-student committee consist exactly four faculty members - K, L, M and N - and four students - P, Q, R and S. The director can select any of the committee members as representatives as long as he observes the following restrictions: (i) The group of four representatives must consist of exactly two faculty members and two students. (ii) Either K or L must be one of the representatives, but K and L cannot both be representatives. (iii) If P is a representatives, M must also be a representative. (iv) If R is a representatives, L cannot be a representative.[A.T.M.A. 2006]
If L is a representative, which of the following can be the order three representatives?
Answer: Option B. -> M, Q, P
Answer: (b)
From (ii), if L is a representative, K cannot be a representative.
Hence, (d) is incorrect.
From (iv), if L is a representative, R cannot be a representative. So, (c) is ruled out.
From (iii), if P is a representative, M must also be a representative. So, (a) is also wrong.
Hence, only (b) holds.
Answer: (b)
From (ii), if L is a representative, K cannot be a representative.
Hence, (d) is incorrect.
From (iv), if L is a representative, R cannot be a representative. So, (c) is ruled out.
From (iii), if P is a representative, M must also be a representative. So, (a) is also wrong.
Hence, only (b) holds.
Question 150.
[A.T.M.A. 2006]
If neither Q nor S is a representative, which of the following is the pair of faculty members who must be representatives?
Directions: Read the data given below to answer the questions:
The director of a B-school wishes to select four members of a faculty-student committee as representatives to meet with the school's board of directors. The faculty-student committee consist exactly four faculty members - K, L, M and N - and four students - P, Q, R and S. The director can select any of the committee members as representatives as long as he observes the following restrictions: (i) The group of four representatives must consist of exactly two faculty members and two students. (ii) Either K or L must be one of the representatives, but K and L cannot both be representatives. (iii) If P is a representatives, M must also be a representative. (iv) If R is a representatives, L cannot be a representative.[A.T.M.A. 2006]
If neither Q nor S is a representative, which of the following is the pair of faculty members who must be representatives?
Answer: Option A. -> K and M
Answer: (a)
If neither Q nor S is a representative, P and R are representatives from students. If R is a representative L cannot be a representative.
Thus, K is one of the representatives from faculty members as either K or L must be one of the representatives. If P is a representative, M must also be a representative.
Hence, K and M is the pair of faculty members who must be representatives.
Answer: (a)
If neither Q nor S is a representative, P and R are representatives from students. If R is a representative L cannot be a representative.
Thus, K is one of the representatives from faculty members as either K or L must be one of the representatives. If P is a representative, M must also be a representative.
Hence, K and M is the pair of faculty members who must be representatives.
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