jee-main 2025 Q68

jee-main · India · session2_07apr_shift2 Probability Definitions Verifying Statements About Probability Properties

Q68. Let $A = \{ 2,3,6,8,9,11 \}$ and $B = \{ 1,4,5,10,15 \}$. Let $R$ be a relation on $A \times B$ defined by ( $a , b$ ) $R ( c , d )$ if and only if $3 a d - 7 b c$ is an even integer. Then the relation $R$ is
(1) an equivalence relation.
(2) reflexive and symmetric but not transitive.
(3) transitive but not symmetric.
(4) reflexive but not symmetric.

Q68. Let $A = \{ 2,3,6,8,9,11 \}$ and $B = \{ 1,4,5,10,15 \}$. Let $R$ be a relation on $A \times B$ defined by ( $a , b$ ) $R ( c , d )$ if and only if $3 a d - 7 b c$ is an even integer. Then the relation $R$ is\\
(1) an equivalence relation.\\
(2) reflexive and symmetric but not transitive.\\
(3) transitive but not symmetric.\\
(4) reflexive but not symmetric.

Paper Questions

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