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GATE 1993
March 17, 2025
GATE 1995
March 17, 2025
GATE 1993
March 17, 2025
GATE 1995
March 17, 2025

GATE 1995

Question 19

Let R be a symmetric and transitive relation on a set A. Then

A
R is reflexive and hence an equivalence relation
B
R is reflexive and hence a partial order
C
R is reflexive and hence not an equivalence relation
D
None of the above
Question 19 Explanation: 
If a relation is equivalence then it must be
i) Symmetric
ii) Reflexive
iii) Transitive
If a relation is said to be symmetric and transitive then we can’t say the relation is reflexive and equivalence.
Correct Answer: D
Question 19 Explanation: 
If a relation is equivalence then it must be
i) Symmetric
ii) Reflexive
iii) Transitive
If a relation is said to be symmetric and transitive then we can’t say the relation is reflexive and equivalence.
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