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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Find the truth value of the following statement. Neither 27 is a prime number nor divisible by 4. - Mathematics and Statistics

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प्रश्न

Find the truth value of the following statement.

Neither 27 is a prime number nor divisible by 4.

टीपा लिहा

उत्तर

Let p : 27 is a prime number.

q : 27 is divisible by 4.

The truth values of p and q are F and F respectively.

The given statement in symbolic form is ~ p ∧ ~ q.

∴ ~ p ∧ ~ q ≡ ~ F ∧ ~ F ≡ T ∧ T ≡ T

∴ Truth value of the given statement is T.

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पाठ 1: Mathematical Logic - Exercise 1.4 [पृष्ठ ११]

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