Which of the following reaction$(s)$ give$(s)$ a meso-compound as the main product?

  • A
    $trans-hex-3-ene + Br_2 \xrightarrow{CH_2Cl_2}$
  • B
    $cis-hex-3-ene + H_2 \xrightarrow{Pd-C}$
  • C
    $hex-3-yne + H_2 \xrightarrow{Lindlar's \ catalyst}$
  • D
    $cyclohexene + Br_2 \xrightarrow{CCl_4}$

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The correct statements with respect to the above pair of reactions are that:
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$(III)$ $(X)$ is threo and $(Y)$ is erythro isomer.
$(IV)$ Each of $(P)$ and $(Q)$ gives a mixture of $(X)$ and $(Y)$.

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