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 question asks: 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 correct choice is B. Mathematical induction. Read the options below, commit to one, then use the explanation to see why that choice holds and why the others do not.
Discrete Mathematics items like this one are written for Pakistan exams such as CSS, FPSC, PPSC, and NTS. The difficulty label is a hint about how much of the topic the stem assumes, not a score. Tags and exam names, when they are present, tell you where else the same idea is tested. Previous and next links stay in Discrete Mathematics so you can continue the subject. Related questions point at nearby stems if you want another angle on the same idea.
Treat the explanation as part of the question, not a footnote. If you missed it, reread the stem against the correct option before you open the next Discrete Mathematics item. A timed quiz is the same pool with a clock and a score. A past paper is a full sitting rather than this single question.
- A. Combination
Why not A: “Combination” does not fit this question. The answer is Mathematical induction.
- B. Mathematical induction ✓
- C. Modular arithmetic
Why not C: “Modular arithmetic” does not fit this question. The answer is Mathematical induction.
- D. Graph theory
Why not D: “Graph theory” does not fit this question. The answer is Mathematical induction.
Correct answer
B. Mathematical induction
Explanation
Mathematical induction (option B) is the accepted answer to “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.”. Option A (Combination) does not fit this question. Option C (Modular arithmetic) does not fit this question. Option D (Graph theory) does not fit this question. For this Discrete Mathematics question, the accepted answer is Mathematical induction.
Source: Discrete Mathematics Official Reference Guide
Tags: computer science, discrete mathematics, mathematics, logic
Submitted by: MCQsHub Editorial
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