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Choose the correct statement(s) regarding optically pure 1,5-dimethylcyclopentene:

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An Intiative by Sri Chaitanya

Addition of HBr in the absence of peroxide gives four isomeric products

Reductive ozonolysis gives a chiral compound

Addition of HBr in the presence of peroxide gives chiral products of which none of them are enantiomers

Reaction with cold dilute $K M n O_{4}$ gives a pair of diastereomers

answer is B, C, D.

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