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Choose the correct alternative : The false statement in the following is - Mathematics and Statistics

MCQ

Choose the correct alternative :

The false statement in the following is

Options

  • p ∧ (∼ p) is contradiction

  • (p → q) ↔ (∼ q → ∼ p) is a contradiction.

  • ~ (∼ p) ↔ p is a tautology

  • p ∨ (∼ p) ↔ p is a tautology

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Solution

(p → q) ↔ (∼ q → ∼ p) is a contradiction.

Concept: Mathematical Logic - Truth Value of Statement in Logic
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 1.04 | Page 29
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