Maharashtra State BoardHSC Arts 12th Board Exam
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Write the truth value of the following statement: The square of any even number is odd or the cube of any odd number is odd. - Mathematics and Statistics

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Sum

Write the truth value of the following statement:

The square of any even number is odd or the cube of any odd number is odd.

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Solution

Let p: The square of any even number is odd.
      q: The cube of any odd number is odd.
Then the symbolic form of the given statement is p∨q.
The truth values of p and q are F and T respectively.
∴ The truth value of p∨q is T. ........[F∨T ≡ T]

Concept: Truth Value of Statement
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 3.4 | Page 33

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