Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
and 
be two relations defined as follows:
and
, where 
is the set of all rational numbers. Then:
A
is transitive but 
is not transitive
B
and 
are both transitive
C
is transitive but 
is not transitive
D
Neither 
nor 
is transitive
nor is transitive
Text Solution
Verified by ExpertsThe correct answer is:
D
for 
Let 
is not transitive
let 
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
PART-I PHYSICS
A block of mass attached to a massless spring is performing oscillatory motion of a…
The mass density of a planet of radius varies with the distance from its centre as . Then the g…
Two sources of light emit -rays of wavelength and visible light of wavelength , respectively. Bo…
If a semiconductor photodiode can detect a photon with a maximum wavelength of , then its band gap…
Amount of solar energy received on the earth's surface per unit area per unit time is defined a sol…
A particle is moving unidirectionally on a horizontal plane under the action of a constant power su…