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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. 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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