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

  2. Of four agents Alpha, Beta, Gamma and Delta, three have to be sent together on a mission. If Alpha and Beta cannot go together, Beta and Gamma cannot go together and Gamma and Delta cannot go together, then which of the following holds?
  3. In an experiment one group of subjects was asked to estimate the product of $8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1$ in 5 seconds. The other group was asked to estimate the product of $1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8$ in the same time. The former group attained a larger estimate than the later group. The biasing effect involved in this case is because of
  4. Match List-I with List-II and select the correct answer by choosing from the codes given below :​ 

    List – I
    (Phenomenon)
    List – II
    (Explanation)
    a. Thinkingi. Process of choosing between two or more alternatives on the basis of information about them
    b. Reasoningii. Processing information in various ways to move towards a desired goal
    c. Decision making  iii. Mental activity through which we transform available information in order to reach conclusion
    d. Problem solvingiv. An activity that involves the manipulation of mental representation of various features of the external world
  5. Match the following gases with their proportion.
     

    GasesPercentage by volume
    1. Argon(a) 0.03
    2. Carbon dioxide(b) 0.0018
    3. Hydrogen(c) 0.94
    4. Neon(d) 0.01
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