###### UGC NET CS 2013 Dec-paper-2

October 21, 2023###### GATE 2004

October 21, 2023# UGC NET CS 2009 Dec-Paper-2

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

(i) and (ii) | |

(iii) | |

(i), (ii), (iii) and (iv) | |

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.

→ 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.

Correct Answer: A

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.

→ 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.

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