Question

Find out which of the following statements have the same meaning: 
i. If Meena makes a software then she is happy.

ii. If Meena does not make a software then she is not happy.

iii. If Meena is not happy then she hasn't made a software.

iv. If Meena is happy then she has made a software.

Options

• (i, ii) and (iii, iv)

• i, ii, iii

• (i, iii) and (ii, iv)

• i, iii, iv

Answer 1

(i, iii) and (ii, iv)

Explanation:

p: Meena makes a software.

q: She is happy

i. p → q           ii. ∼p → ∼q

iii. ∼q → ∼p   iv. q → p

(i) and (iii) have the same meaning,

(ii) and (iv) have the same meaning.