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Consider all possible isomeric ketones, ...

Consider all possible isomeric ketones, including stereoisomers, of MW = 100. All these isomers are independently reacted with `NaBH_(4)` (NOTE: stereoisomers are also reacted separately). The total number of ketones that give a racemic product(s) is/are

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The correct Answer is:
5
General formula of ketones`=C_(n)H_(2n)O`
MW of the ketone=100
`therefore12xxn+1xx2n+1xx16=100`
or `14n=84` or `n=6`
`therefore`M.F. of the ketone=`C_(6)H_(12)O`.
The total number of isomeric ketones having the M.F. `C_(6)H_(12)O_(6)` is

Whenever a new chiral centre is created by reaction of achiral compounds with achiral reagents, a racemic mixture of products is always produced. but chiral compounds under these conditions will product diastereomeric optically active products. since there are five achiral ketones, therefore, on reduction with `NaBH_(4)` will produce five racemic mixture of products.
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