CHAPTER 1 : RELATIONS
Quiz
•
Mathematics
•
12th Grade
•
Hard
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10 questions
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1.
MULTIPLE CHOICE QUESTION
45 sec • 2 pts
Let R be the relation in the set N given by R = {(a,b); a = b – 2 , b > 6} Is the relation reflexive?
YES
NO
2.
MULTIPLE CHOICE QUESTION
45 sec • 2 pts
The smallest equivalence relation R on set A = {1,2,3} is
{(1,1) ,(2,2),(3,3)}
{(1,1) ,(2,2),(3,3),(1,2),(2,1)}
{(1,1) ,(2,2),(3,3), (2,1)}
none of these
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given set A = {a,b,c}. An identity relation in set A is
R= {(a,b),(a,c)}
R = {(a,a),(b,b), (c,c) }
R= {(a,a),(b,b), (c,c), (a,c)}
R= {(c,a),(b,a), (a,a)}
4.
MULTIPLE CHOICE QUESTION
30 sec • 2 pts
If A={a,b,c} theen R={(b,c)}, then R is
Reflexive only
Symmetric only
Transitive only
equivalence relation
5.
MULTIPLE CHOICE QUESTION
45 sec • 2 pts
Let A={1,2,3}, and R is {(1,1),(1,2),(1,3), (2,2), (2,3), (3,3)}, then R is
reflexive but not symmetric
reflexive but not transitive
symmetric and transitive
neither symmetric nor transitive
6.
MULTIPLE CHOICE QUESTION
45 sec • 2 pts
Let set A = { 1, 2, 3, 4 } and R is a relation on A such that
R = { (1, 1), (2,2), (3,3) , (4,4) } then
R is not reflexive relation
R is not symmetric relation
R is not transitive relation
R is an equivalence relation
7.
MULTIPLE CHOICE QUESTION
45 sec • 2 pts
R is a relation on set of natural numbers such that
R = { (a,b) : a + 4b = 10}
R is a reflexive relation.
R is a symmetric relation.
R is a transitive relation.
All of the above.
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