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Question

Read each of the following statements - Assertion (A) and Reason (R); and indicate your answer using code given below :
Assertion (A): Algorithm is a logical rule that guarantees solving a particular problem.
Reason (R) : One can find the solution even to complex problems by following step by step procedure.
Code :

The correct answer is
Both (A) and (R) are true, and (R) is the correct explanation of (A).

Assertion Analysis

  • Assertion (A) states that an algorithm is a logical rule guaranteeing the solution to a problem.
  • This is generally true in the context of computer science, where an algorithm is a finite, well-defined sequence of steps designed to solve a specific class of problems. The "guarantee" implies correctness and completeness for solvable problems.

Reason Analysis

  • Reason (R) states that solutions to complex problems can be found by following a step-by-step procedure.
  • This is the fundamental principle behind algorithms. Breaking down complex tasks into a series of smaller, manageable steps is how algorithms process information and achieve results.
  • This characteristic is essential for both the design and execution of any algorithm.

Conclusion: Linking Assertion and Reason

  • The reason (R) explains *why* an algorithm (A) can guarantee a solution. The step-by-step nature is the mechanism by which the logical rule operates to solve the problem.
  • Therefore, both Assertion (A) and Reason (R) are true statements.
  • Furthermore, Reason (R) provides the correct explanation for Assertion (A), as the step-by-step procedure is integral to how an algorithm functions and guarantees a solution.

Option A is the correct choice.

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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. 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?
  3. 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?
  4. 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
  5. 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
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