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Sets and Relations question

2023 · 10 Apr · Shift 2 · Q32
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  5. /2023 · 10 Apr · Shift 2 · Q32

Sets and Relations question

2023 · 10 Apr · Shift 2 · Q32

JEE MainMathematicsSets and RelationsMCQ+4 / −1
Let A={2,3,4}\mathrm{A}=\{2,3,4\}A={2,3,4} and B={8,9,12}\mathrm{B}=\{8,9,12\}B={8,9,12}. Then the number of elements in the relation R={((a1, b1),(a2, b2))∈(A×B,A×B):a1\mathrm{R}=\left\{\left(\left(a_{1}, \mathrm{~b}_{1}\right),\left(a_{2}, \mathrm{~b}_{2}\right)\right) \in(A \times B, A \times B): a_{1}\right.R={((a1​, b1​),(a2​, b2​))∈(A×B,A×B):a1​ divides b2\mathrm{b}_{2}b2​ and a2\mathrm{a}_{2}a2​ divides b1}\left.\mathrm{b}_{1}\right\}b1​} is :
  1. A
    18
  2. B
    24
  3. C
    36
  4. D
    12
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