Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let a relation R on
be defined as:
if and only if
or
. Consider the two statements:
(I) R is reflexive but not symmetric.
(II)
is transitive Then which one of the following is true?
Text Solution
Verified by ExpertsThe correct answer is:
D
All
are in R where
is reflexive

is not symmetric
and
but
,

is not transitive
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Consider the relations and defined as for all and for all . Then
Let . Suppose is the set of all the subsets of , then the relation is :
Let be a relation on defined by if and only if is divisible by 5. Then is
If is the smallest equivalence relation on the set such that , then the number of elements in i…
The number of elements in the set equals
Let . Let and two relation on such that is divisible by is an integral multiple of .Then, nu…