Reasoning Aptitude
PUZZLES MCQs
Total Questions : 244
| Page 18 of 25 pages
Question 171.
[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 172.
[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 173.
[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 174.
[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 175.
[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 176.
[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.
Answer: Option B. -> Monday
Answer: (b)
English presentation made on Monday.
Answer: (b)
English presentation made on Monday.
Answer: Option A. -> One
Answer: (a)
From the above table, it is clear that there is a one day gap between music and political science.
Answer: (a)
From the above table, it is clear that there is a one day gap between music and political science.
Answer: Option A. -> English
Answer: (a)
From the above table, it is seen that English is followed by 'Music'.
Answer: (a)
From the above table, it is seen that English is followed by 'Music'.
Answer: Option D. -> Thursday
Answer: (d)
Rakesh makes his presentation on Thursday.
Answer: (d)
Rakesh makes his presentation on Thursday.
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