I don not have any idea in the synthesis of the first ones.
I think for the synthesis of( a),we can use cross aldol condensation
ie.,CH3CH0 + CH3COCH3.
I donot have any ider other than this.
yes, that aldol reaction following dehydration will give CH
3COCH=CH
2, you can then use catalytic hydrogenation to hydrogenate the C=C
b) same reaction, but do not dehydrate the aldol product (use very dilute base), and reduce the carbonyl with eg. LiAlH
4c) This one is just an aldol self-condensation, followed by dehydration
d) is c) followed by hydrogenation of the C=C, and reduction of the carbonyl.
e) is c) followed by hyrogenation of the C=C, and then oxidation of the carbonyl
f) is e) but without the hydrogenation step