WB JEE 2017 | Sets and Relations Question 34 | Mathematics

WB JEE 2017

MCQ (Single Correct Answer)

-0.5

On set A = {1, 2, 3}, relations R and S are given by

R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1)},

S = {(1, 1), (2, 2), (3, 3), (1, 3), (3, 1)}. Then,

R $$ \cup $$ S is an equivalence relation

R $$ \cup $$ S is reflexive and transitive but not symmetric

R $$ \cup $$ S is reflexive and symmetric but not transitive

R $$ \cup $$ S is symmetric and transitive but not reflexive

WB JEE 2016

MCQ (Single Correct Answer)

-0.25

Let R be a relation defined on the set Z of all integers and xRy, when x + 2y is divisible by 3, then

R is not transitive

R is symmetric only

R is an equivalence relation

R is not an equivalence relation

WB JEE 2016

MCQ (Single Correct Answer)

-0.25

If A = {5ⁿ $$-$$ 4n $$-$$ 1 : n$$ \in $$N} and B = {16(n $$-$$ 1) : n$$ \in $$N}, then

A = B

A $$ \cap $$ B = $$\phi$$

A $$ \subseteq $$ B

B $$ \subseteq $$ A

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