Properties: reflexive, symmetric, antisymmetric, transitive Previous Year Questions | Prasnya
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Relations and Their Types - Relations and Their Types
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Properties: reflexive, symmetric,...
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Q1
Suppose
A
A
is the set of odd positive integers less than or equal to
20
20
, and
B
B
is the set of positive integers less than or equal to
30
30
which are divisible by
5
5
. Consider the following relations from
A
A
to
B
B
:
R
1
=
{
(
a
,
b
)
∣
a
∈
A
,
b
∈
B
,
a
is a factor of
b
}
R_1=\{(a,b)\mid a\in A,\; b\in B,\; a\text{ is a factor of }b\}
and
R
2
=
{
(
a
,
b
)
∣
a
∈
A
,
b
∈
B
,
(
a
+
b
)
m
o
d
15
=
0
}
R_2=\{(a,b)\mid a\in A,\; b\in B,\; (a+b)\bmod 15=0\}
. Which of the following statements are correct?
Multiple correct
OCTOBER 24, 2024
OCTOBER 24, 2024
Q2
Which of the following statements are correct?
Comprehension
JULY 07, 2024
JULY 07, 2024
Q3
R
1
R_1
is ____________. Enter all correct options. Enter only the serial numbers of those options in increasing order without adding any comma or space between them i.e., if your answer is
6
6
and
7
7
, then you should enter
67
67
.
Comprehension
JULY 16, 2023
JULY 16, 2023
Q4
State 'True' or 'False':
R
6
R_6
does not match with any type of relations given in Column B.
Comprehension
OCTOBER 16, 2022
OCTOBER 16, 2022
Q5
State 'True' or 'False':
R
1
R_1
matches with all type of relations except anti-symmetric relation given in Column B.
Comprehension
OCTOBER 16, 2022
OCTOBER 16, 2022
Q6
In total, how many relations given in Column A matches with transitive relation? NOTE: Enter your answer to the nearest integer.
Comprehension
OCTOBER 16, 2022
OCTOBER 16, 2022
Q7
In total, how many relations given in Column A matches with reflexive relation? NOTE: Enter your answer to the nearest integer.
Comprehension
OCTOBER 16, 2022
OCTOBER 16, 2022
