Find out which of the following statements have the same meaning: i.

1.	Find out which of the following statements have the same meaning: i. If Seema solves a problem then she is happy. ii. If Seema does not solve a problem then she is not happy. iii. If Seema is not happy then she hasn’t solved the problem. iv. If Seema is happy then she has solved the problem(A) (i, ii) and (iii, iv) (B) i, ii, iii (C) (i, iii) and (ii, iv) (D) ii, iii, iv
Answer» Correct option: (C) (i, iii) and (ii, iv) p: Seema solves a problem 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.

Find out which of the following statements have the same meaning: i. If Seema solves a problem then she is happy. ii. If Seema does not solve a problem then she is not happy. iii. If Seema is not happy then she hasn’t solved the problem. iv. If Seema is happy then she has solved the problem(A) (i, ii) and (iii, iv) (B) i, ii, iii (C) (i, iii) and (ii, iv) (D) ii, iii, iv

Answer»

Correct option: (C) (i, iii) and (ii, iv)

p: Seema solves a problem

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.