October 21, 2023
October 21, 2023
October 21, 2023
###### GATE 2004
October 21, 2023
 Question 1
If she is my friend and you are her friend, then we are friends. Given this, the friend relationship in this context is ____________. (i) commutative (ii) transitive (iii) implicative (iv) equivalence
 A (i) and (ii) B (iii) C (i), (ii), (iii) and (iv) D None of these
Question 1 Explanation:
→ Initially calculate the possible cases of a relation i.e., R={(A,B), (C,B), (A,C)}
→ Now check whether the relation is transitive or commutative or etc..,
If a relation is commutative then if (A,B) present in the relation then (B,A) also need to exists.
but in the relation (B,A) is not present. so given relation is not commutative.
Question 1 Explanation:
→ Initially calculate the possible cases of a relation i.e., R={(A,B), (C,B), (A,C)}
→ Now check whether the relation is transitive or commutative or etc..,
If a relation is commutative then if (A,B) present in the relation then (B,A) also need to exists.
but in the relation (B,A) is not present. so given relation is not commutative.