Self Studies

Logical Sequencing Test - 6

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Logical Sequencing Test - 6
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  • Question 1
    1 / -0

    Directions For Questions

    Directions: Study the following information carefully and answer the question that follows.

    Among five doctors (A, B, C, D and E), four engineers (G, H, K and L) and six teachers (M, N, O, P, Q and R), some teams are to be selected. Out of these, A, B, G, H, O, P and Q are females and the rest are males.

    The formation of teams is subject to the following conditions.
    Wherever there is a male doctor, there will be no female teacher.
    Wherever there is a male engineer, there will be no female doctor.
    There shall not be more than two male teachers in any team.

    ...view full instructions

    If a team consists of two doctors, three female teachers and two engineers, then which of the following are the members of the team?
    Solution
    Male doctors Yes Female teachers No
    CDE Yes OPQ No
    Male engineer Yes Female doctors No
    KL Yes AB No
    Male teachers No MNR No

    Team consists of:
    2 doctors - A B (male doctors cannot be selected along with female teachers)
    3 female teachers - O P Q
    2 engineers - G H (male engineers cannot be selected along with female doctors)

    So, the team consists of A, B, O, P, Q, G, H.
  • Question 2
    1 / -0

    Directions For Questions

    Directions: Study the following information carefully and answer the question that follows.

    Among five doctors (A, B, C, D and E), four engineers (G, H, K and L) and six teachers (M, N, O, P, Q and R), some teams are to be selected. Out of these, A, B, G, H, O, P and Q are females and the rest are males.

    The formation of teams is subject to the following conditions.
    Wherever there is a male doctor, there will be no female teacher.
    Wherever there is a male engineer, there will be no female doctor.
    There shall not be more than two male teachers in any team.

    ...view full instructions

    If a team consists of two doctors, one engineer and four teachers, then all the following teams are possible, except
    Solution
    Male doctors Yes Female teachers No
    CDE Yes OPQ No
    Male engineer Yes Female doctors No
    KL Yes AB No
    Male teachers No MNR No

    Team given in option (4) is not possible as in that team, 2 female doctors (A and B) are there.
    Along with the female doctors, no male engineer is to be selected as K is already selected, so this combination is not possible.
  • Question 3
    1 / -0

    Directions For Questions

    Directions: Study the following information carefully and answer the question that follows.

    Among five doctors (A, B, C, D and E), four engineers (G, H, K and L) and six teachers (M, N, O, P, Q and R), some teams are to be selected. Out of these, A, B, G, H, O, P and Q are females and the rest are males.

    The formation of teams is subject to the following conditions.
    Wherever there is a male doctor, there will be no female teacher.
    Wherever there is a male engineer, there will be no female doctor.
    There shall not be more than two male teachers in any team.

    ...view full instructions

    Which of the following teams is not possible if a team consists of two doctors, two female teachers and two engineers?
    Solution
    Male doctors Yes Female teachers No
    CDE Yes OPQ No
    Male engineer Yes Female doctors No
    KL Yes AB No
    Male teachers No MNR No

    The team consists of:
    2 doctors - A and B (According to data given in the table, along with female teachers, no male doctors are to be selected)
    2 female teachers - O and P/O and Q/P and Q
    2 engineers - G and H (According to data given in the table, along with female doctors, no male engineers are to be selected)

    In option (3), K and L are male engineers.
    According to the condition given in passage, there will be no female doctors with male engineers, but there are A and B (two female doctors) which is wrong. So, the corresponding combination is not possible.
  • Question 4
    1 / -0

    Directions For Questions

    Directions: Study the following information carefully and answer the question that follows.

    Among five doctors (A, B, C, D and E), four engineers (G, H, K and L) and six teachers (M, N, O, P, Q and R), some teams are to be selected. Out of these, A, B, G, H, O, P and Q are females and the rest are males.

    The formation of teams is subject to the following conditions.
    Wherever there is a male doctor, there will be no female teacher.
    Wherever there is a male engineer, there will be no female doctor.
    There shall not be more than two male teachers in any team.

    ...view full instructions

    If a team consists of three doctors, two male engineers and two teachers, then the members of the team could be
    Solution
    Male doctors Yes Female teachers No
    CDE Yes OPQ No
    Male engineer Yes Female doctors No
    KL Yes AB No
    Male teachers No MNR No

    Team consists of:
    3 doctors - C, D and E (According to the table above, along with male engineers, no female doctors can be selected)
    2 male engineers - K and L
    2 teachers - M and N/N and R/M and R (According to the table above, along with male doctors, no female teachers are to be selected)

    So, the possible combinations can be: C, D, E, K, L, M and N or C, D, E, K, L, N and R or C, D, E, K, L, M and R.
  • Question 5
    1 / -0

    Directions For Questions

    Directions: Study the following information carefully and answer the question that follows.

    Among five doctors (A, B, C, D and E), four engineers (G, H, K and L) and six teachers (M, N, O, P, Q and R), some teams are to be selected. Out of these, A, B, G, H, O, P and Q are females and the rest are males.

    The formation of teams is subject to the following conditions.
    Wherever there is a male doctor, there will be no female teacher.
    Wherever there is a male engineer, there will be no female doctor.
    There shall not be more than two male teachers in any team.

    ...view full instructions

    If a team consists of two doctors, two engineers and two teachers, then all of the following teams are possible, except
    Solution
    Male doctors Yes Female teachers No
    CDE Yes OPQ No
    Male engineer Yes Female doctors No
    KL Yes AB No
    Male teachers No MNR No

    According to the given table, combination given in option (4) is not possible as it consists of:
    - 2 male doctors
    - 2 male engineers
    - 2 female teachers

    Option (4) is not possible as no female teachers are to be selected along with male doctors.
  • Question 6
    1 / -0

    Directions For Questions

    Directions: Read the following statements carefully to answer the question.

    From a batch of six boys A, B, C, D, E and F and four girls P, Q, R and S, a team of six is to be selected.
    Some of the criteria are:
    B and D have to be together.
    C cannot go with Q.
    F cannot go with A or D.
    P and R have to be together.
    P cannot go with S.
    A and E have to be together.

    ...view full instructions

    If four of the members including E have to be boys and one of the girls has to be R, then the team consists of ___________.
    Solution
    If E is selected, then A must be selected. So, F must not be selected. Since B and D have to be together, so the other two boys apart from E and A must be B and D. Clearly, there are two girls in the team. If R is selected, then P must be selected.
    Thus, the team becomes A, B, D, E, P, R.
  • Question 7
    1 / -0

    Directions For Questions

    Directions: Read the following statements carefully to answer the question.

    From a batch of six boys A, B, C, D, E and F and four girls P, Q, R and S, a team of six is to be selected.
    Some of the criteria are:
    B and D have to be together.
    C cannot go with Q.
    F cannot go with A or D.
    P and R have to be together.
    P cannot go with S.
    A and E have to be together.

    ...view full instructions

    If at least three members have to be girls and C agrees to team with Q but Q refuses to team with A, then the team consists of ___________.
    Solution
    At least three girls out of P, Q, R and S must be selected. But, P cannot go with S. So, either P, Q, R or Q, R, S must be selected. But, P and R have to be together. So, P, Q, R must be selected. If Q is selected, A and E must not be selected. Since C agrees to team up with Q, so C must be selected. B and D have to be together. So, the remaining two boys selected must be B and D.
    Thus, the team consists of B, C, D, P, Q, R.
  • Question 8
    1 / -0

    Directions For Questions

    Directions: Read the following statements carefully to answer the question.

    From a batch of six boys A, B, C, D, E and F and four girls P, Q, R and S, a team of six is to be selected.
    Some of the criteria are:
    B and D have to be together.
    C cannot go with Q.
    F cannot go with A or D.
    P and R have to be together.
    P cannot go with S.
    A and E have to be together.

    ...view full instructions

    If not more than one member has to be a girl, then the team consists of ___________.
    Solution
    Clearly, the team consists of five boys and one girl. Now, out of six boys A, B, C, D, E and F, F cannot go with A or D. So, we leave out F. Thus, A, B, C, D and E must be selected. Since C is selected, Q cannot be selected. Since P and R have to be together, none of them can be selected. So, S must be selected.
    Thus, the team becomes A, B, C, D, E, S.
  • Question 9
    1 / -0

    Directions For Questions

    Directions: Read the following statements carefully to answer the question.

    From a batch of six boys A, B, C, D, E and F and four girls P, Q, R and S, a team of six is to be selected.
    Some of the criteria are:
    B and D have to be together.
    C cannot go with Q.
    F cannot go with A or D.
    P and R have to be together.
    P cannot go with S.
    A and E have to be together.

    ...view full instructions

    If three members including C have to be boys and S agrees to team with P, while E refuses to do so, then the other members of the team are
    Solution
    The team is B, C, D, P, R, S.
  • Question 10
    1 / -0

    Directions For Questions

    Directions: Read the following statements carefully to answer the question.

    From a batch of six boys A, B, C, D, E and F and four girls P, Q, R and S, a team of six is to be selected.
    Some of the criteria are:
    B and D have to be together.
    C cannot go with Q.
    F cannot go with A or D.
    P and R have to be together.
    P cannot go with S.
    A and E have to be together.

    ...view full instructions

    If the team is to consist of two girls and F agrees to team with D, then which of the following teams is not possible?
    Solution
    Since C cannot go with Q, (a) is not possible.
  • Question 11
    1 / -0

    Directions For Questions

    Directions: Read the following information carefully to answer the given question:

    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 relations. They should not be sent as members of the same team.
    (iv) Since D and F have been competing for a promotion, they should not be sent as members of the same team.

    ...view full instructions

    If C and F are moved to the new office, then what is the number of different teams that can be formed?
    Solution
    If C is selected, A must not be selected. So, the second Accounts Assistant selected must be B. If C is selected, E cannot be selected. If F is selected, D cannot be selected. So, the three Accounts Officers selected must be F, G and H.
    Thus, only one team is formed B, C, F, G, H.
  • Question 12
    1 / -0

    Directions For Questions

    Directions: Read the following information carefully to answer the given question:

    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 relations. They should not be sent as members of the same team.
    (iv) Since D and F have been competing for a promotion, they should not be sent as members of the same team.

    ...view full instructions

    If C sent to the new office, then which member of the staff cannot go with C?
    Solution
    If C is selected, then 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 13
    1 / -0

    Directions For Questions

    Directions: Read the following information carefully to answer the given question:

    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 relations. They should not be sent as members of the same team.
    (iv) Since D and F have been competing for a promotion, they should not be sent as members of the same team.

    ...view full instructions

    Under the guidelines developed, which of the following must go to the new office?
    Solution
    Since two Accounts Assistants have to be taken, and A and C cannot be teamed tighter, so B has to be selected along with either A or C.
  • Question 14
    1 / -0

    Directions For Questions

    Directions: Read the following information carefully to answer the given question:

    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 relations. They should not be sent as members of the same team.
    (iv) Since D and F have been competing for a promotion, they should not be sent as members of the same team.

    ...view full instructions

    Under the guidelines developed, what is the possible number of different teams which can be sent to the new office?
    Solution
    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 nor 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.
  • Question 15
    1 / -0

    Directions For Questions

    Directions: Read the following information carefully to answer the given question:

    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 relations. They should not be sent as members of the same team.
    (iv) Since D and F have been competing for a promotion, they should not be sent as members of the same team.

    ...view full instructions

    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.
    Solution
    If D is selected, then 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 not be selected. So, the two Accounts Assistants selected must be A and B.
  • Question 16
    1 / -0

    Directions For Questions

    Directions: Study the following information carefully to answer the question given below.

    In an examination, six subjects A, B, C, D, E and F were available for a candidate out of which only three had to be chosen under the following conditions:
    One who chose A had to choose B also and vice-versa.
    One who chose A could not choose E.
    One who chose C or D could not choose F.
    The distribution of the candidates over the subjects was as follows:
    A - 70, B - 70, C - 90, D - 85, E - 70, F - 35

    ...view full instructions

    How many combinations were permitted?
    Solution
    Suppose a candidate offers A. Then, he has to offer B also. The third subject along with A and B cannot be E but any one of C, D and F. Thus, the possible combinations are ABC, ABD and ABF.
    Suppose a candidate offers C. Then, he cannot offers F. Also, A and B go together and as such none of them can be offered, as the possible combinations containing both A and B have already been considered. So, C can be offered along with D and E. Thus, another possible combination is CDE.
    Hence, there are four possible combinations – ABC, ABD, ABF, CDE.
  • Question 17
    1 / -0

    Directions For Questions

    Directions: Study the following information carefully to answer the question given below.

    In an examination, six subjects A, B, C, D, E and F were available for a candidate out of which only three had to be chosen under the following conditions:
    One who chose A had to choose B also and vice-versa.
    One who chose A could not choose E.
    One who chose C or D could not choose F.
    The distribution of the candidates over the subjects was as follows:
    A - 70, B - 70, C - 90, D - 85, E - 70, F - 35

    ...view full instructions

    How many candidates in all appeared for the examination?
    Solution
    The possible combinations are - ABC, ABD, ABF, CDE.
    E is there only in CDE.
    So, the number of candidates who chose CDE
    = Number of candidates who chose E = 70
    F is there only in ABF.
    So, the number of candidates who chose ABF
    = Number of candidates who chose F = 35.
    D is there in ABD and CDE.
    So, the number of candidates who chose ABD
    = Number of candidates who chose D - Number of candidates who chose CDE = 85 - 70 = 15
    C is there in ABC and CDE.
    So, the number of candidate who chose ABC
    = Number of candidates who chose C - Number of candidates who chose CDE = 90 - 70 = 20
    Hence, total number of candidates who appeared = 70 + 35 + 15 + 20 = 140.
  • Question 18
    1 / -0

    Directions For Questions

    Directions: Study the following information carefully to answer the question given below.

    In an examination, six subjects A, B, C, D, E and F were available for a candidate out of which only three had to be chosen under the following conditions:
    One who chose A had to choose B also and vice-versa.
    One who chose A could not choose E.
    One who chose C or D could not choose F.
    The distribution of the candidates over the subjects was as follows:
    A - 70, B - 70, C - 90, D - 85, E - 70, F - 35

    ...view full instructions

    How many candidates chose the combination ABC?
    Solution
    The possible combinations are – ABC, ABD, ABF, CDE.
    E is there only in CDE.
    So, the number of candidates who chose CDE
    = Number of candidates who chose E = 70
    F is there only in ABF.
    So, the number of candidates who chose ABF
    = Number of candidates who chose F = 35.
    D is there in ABD and CDE.
    So, the number of candidates who chose ABD
    = Number of candidates who chose D – Number of candidates who chose CDE = 85 – 70 = 15
    C is there in ABC and CDE.
    So, the number of candidate who chose ABC
    = Number of candidates who chose C – Number of candidates who chose CDE = 90 – 70 = 20
    Number of candidates who chose the combination ABC = 20
  • Question 19
    1 / -0

    Directions For Questions

    Directions: Study the following information carefully to answer the question given below.

    In an examination, six subjects A, B, C, D, E and F were available for a candidate out of which only three had to be chosen under the following conditions:
    One who chose A had to choose B also and vice-versa.
    One who chose A could not choose E.
    One who chose C or D could not choose F.
    The distribution of the candidates over the subjects was as follows:
    A - 70, B - 70, C - 90, D - 85, E - 70, F - 35

    ...view full instructions

    How many candidates combined C with D?
    Solution
    Clearly, the required number of candidates
    = number of candidates who offered CDE = 70
  • Question 20
    1 / -0

    Directions For Questions

    Directions: Study the following information carefully to answer the question given below.

    In an examination, six subjects A, B, C, D, E and F were available for a candidate out of which only three had to be chosen under the following conditions:
    One who chose A had to choose B also and vice-versa.
    One who chose A could not choose E.
    One who chose C or D could not choose F.
    The distribution of the candidates over the subjects was as follows:
    A - 70, B - 70, C - 90, D - 85, E - 70, F - 35

    ...view full instructions

    How many candidates offered B with F?
    Solution
    Required number of candidates
    = number of candidates who offered ABF = 35
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