Select the correct name for: a proof technique used to establish that a statement holds for all natural numbers by proving a base case and an inductive step.
Difficulty: Hard
About this MCQ
This Hard Discrete Mathematics MCQ checks one syllabus fact.
The question is: “Select the correct name for: a proof technique used to establish that a statement holds for all natural numbers by proving a base case and an inductive step.”
The accepted answer is B. Mathematical induction. Select the correct name for a proof technique used to establish that a statement holds for all natural numbers by proving a base case and an inductive step is answered by Mathematical induction option B Option A Combination does not match the stem it is a near-miss used to catch incomplete recall of Mathematical induction Option C Modular arithmetic does not match the stem it is a near-miss used to catch incomplete recall of Mathematical induction Remaining alternatives Graph theory fall outside the same rule and should be eliminated once Mathematical induction is identified Discrete Mathematics questions of this type reward precise definitions rather than approximate associations Discrete Mathematics recall of this distinction is a regular item in FPSC PPSC.
- A. Combination
Why not A: “Combination” is not correct. The accepted answer is B. Mathematical induction. Select the correct name for a proof technique used to establish that a statement holds for all natural numbers by proving a base case and an inductive step is answered by Mathemati
- B. Mathematical induction ✓
- C. Modular arithmetic
Why not C: “Modular arithmetic” is not correct. The accepted answer is B. Mathematical induction. Select the correct name for a proof technique used to establish that a statement holds for all natural numbers by proving a base case and an inductive step is answered by Mathemati
- D. Graph theory
Why not D: “Graph theory” is not correct. The accepted answer is B. Mathematical induction. Select the correct name for a proof technique used to establish that a statement holds for all natural numbers by proving a base case and an inductive step is answered by Mathemati
Correct answer
B. Mathematical induction
Explanation
Select the correct name for a proof technique used to establish that a statement holds for all natural numbers by proving a base case and an inductive step is answered by Mathematical induction option B Option A Combination does not match the stem it is a near-miss used to catch incomplete recall of Mathematical induction Option C Modular arithmetic does not match the stem it is a near-miss used to catch incomplete recall of Mathematical induction Remaining alternatives Graph theory fall outside the same rule and should be eliminated once Mathematical induction is identified Discrete Mathematics questions of this type reward precise definitions rather than approximate associations Discrete Mathematics recall of this distinction is a regular item in FPSC PPSC.
Source: Discrete Mathematics Official Reference Guide
Tags: computer science, discrete mathematics, mathematics, logic
Submitted by: MCQsHub Editorial
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