# Exercise 1.4 (2)

Find truth value of each of the following statements.

i) It is not true that 3 − 7i is a real number.**Ans:**

Let p : 3 – 7i is a real number.

The Truth Value of p is F.

The given Statement in Symbolic form is ~ p.

∴ ~ p ≡ ~F ≡ T

∴ Truth value of the given statement is T.

ii) If a joint venture is a temporary partnership, then discount on purchase is credited to the supplier.**Ans: **

Let p : A joint venture is a temporary partnership.

q : Discount on purchase is credited to the supplier.

The Truth Value of p and q are T and F respectively.

The given Statement in Symbolic form is p →q.

∴ p →q ≡ T →F ≡ F

∴ Truth value of the given statement is F.

iii) Every accountant is free to apply his own accounting rules if and only if machinery is an asset.**Ans: **

Let p : Every accountant is free to apply his own accounting rules

q : Machinery is an asset.

The Truth Value of p and q are F and T respectively.

The given Statement in Symbolic form is p ↔q.

∴ p ↔q ≡ F ↔ T ≡ F

∴ Truth value of the given statement is F.

iv) Neither 27 is a prime number nor divisible by 4.**Ans:**

Let p : 27 is a prime number

q : 27 is divisible by 4

The Truth Value 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.

v) 3 is a prime number and an odd number.**Ans:**

Let p : 3 is a prime number

q : 3 is an odd number.

The Truth Value of p and q are T and T respectively.

The given Statement in Symbolic form is p∧ q.

∴ p∧q ≡ T∧T ≡T

∴ Truth value of the given statement is T.