Published by:
CGP EDU Academic Team
Published on: August 13, 2026
For 
, consider a relation 
on 
given by 
is a multiple of 7 
The relation 
is an equivalence relation if and only if:
A
B
is a multiple of 4
C
4 is the remainder when 
is divided by 10
is divided by 10
D
4 is the remainder when 
is divided by 7
is divided by 7
Text Solution
Verified by ExpertsThe correct answer is:
D
For 
to be reflexive 
when 
divided by 7 , remainder is 4 . 
to be symmetric 
Which holds when 
is multiple of 7
(as did earlier)
to be transitive
.
and
Which is true again when 
divisible by 7 , i.e. when 
divided by 7, remainder is 4 .
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