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MathsMediumMCQ2017 ยท 02 Apr

Q72.The statement ๐‘โ†’๐‘žโ†’~๐‘โ†’๐‘žโ†’๐‘ž is (1) A tautology (2) Equivalent to ~๐‘โ†’๐‘ž (3) Equivalent to ๐‘โ†’~๐‘ž (4) A fallacy

What This Question Tests

The question requires determining if a compound logical statement is a tautology, fallacy, or equivalent to a simpler statement by constructing a truth table or using logical equivalences.

Concepts Tested

Conditional statementsBiconditional statementsTautologyTruth tables

Formulas Used

p โ†’ q โ‰ก ~p โˆจ q

p โ†” q โ‰ก (p โ†’ q) โˆง (q โ†’ p)

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๐Ÿ“‹ Question Details

Chapter
Mathematical Reasoning
Topic
Truth tables and logical equivalences
Year
2017
Shift
02 Apr
Q Number
Q72
Type
MCQ
NCERT Ref
Class 11 Mathematics Ch 14: Mathematical Reasoning

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