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Question

Prof. Murthy likes to let her students choose who their partners will be; however, no pair of students may work together for more than seven class periods in a row. Alice and Bob have worked together for seven class periods in a row. Calvin and Denny have worked together for three class periods in a row. Calvin does not want to work with Alice. Who should be assigned to work with Bob?

The correct answer is
Calvin

Analyzing Partnership Constraints

The core rule is that no pair can work together for more than 7 consecutive class periods.

  • Alice and Bob have completed 7 periods together. Therefore, they cannot be partners for the next class period.
  • Calvin and Denny have completed 3 periods together. They are within the limit and can continue partnering or switch.
  • Calvin explicitly does not want to work with Alice. This preference must be considered.

Determining Bob's Partner

We need to find a partner for Bob for the upcoming class period.

  • Option 2 (Alice): Alice cannot be assigned to Bob because they just finished 7 consecutive periods.
  • Potential partners remaining for Bob are Calvin and Denny.
  • Consider assigning Denny to Bob. This would leave Alice needing a partner. The only remaining student is Calvin. However, Calvin does not want to work with Alice. This assignment creates a conflict.
  • Consider assigning Calvin to Bob. This pairing is valid as there's no 7-period limit issue and no stated preference against it. This leaves Denny needing a partner. Alice can be assigned to Denny. This assignment respects the 7-period rule for Alice and Bob and also respects Calvin's preference not to work with Alice.

Therefore, Calvin should be assigned to work with Bob.

The correct option is A.

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Important Questions from Analytical Decision Making (Notes)

  1. With only one match, between teams B and C, remaining in a tournament where each win fetches two points and a loss none, team A observes that they will become champions with more points than any other team if B wins, but not necessarily if B loses. Then
  2. The following are the technology developmental phases.
    Match List - I with List - II

     

    List - IList - II
    (i) Organizational Phase(a) Specific goals and objectives are developed to achieve the vision
    (ii) Assessment and Analysis Phase(b) The technology planning team is formed
    (iii) Formulation Phase(c) The long-term goals are achieved
     (d) Based on the vision goals and objectives, a technology plan is developed
  3. Match the types of Quantitative research:
     

    List-IList-II
    (1) Descriptive Survey Research(i) Ex-post-facto research
    (2) Correlation Research(ii) Cause-effect relationship between two
    or more variables
    (3) Casual-comparative Research(iii) Degree of relationship between two or
    more variables
    (4) Experimental Research(iv) Try to answer questions about the
    current status of a phenomenon


    Choose the correct answer from the following :

  4. Match the following types of research with its meaning:
     

    Types of ResearchMeaning
    (1) Applied Research(i) Better understanding of the concept and
    provides direction to initiate a more.
    (2) Exploratory Research(ii) Structured research aims at elucidating the data
    and primary characteristics.
    (3) Descriptive Research(iii) Concerned with exploring the effect of one
    variable on another.
    (4) Casual Research(iv) The goal is action oriented and focus on
    immediate results.


    Choose the correct options:

  5. _________________ psychology is a branch in which the findings of psychology are applied in the field of education.

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