Rap
change one letter
rape
rope
cope
cape
cafe
cake
coke
cobe
robe
lobe
love
oven
over (allthough, kishor, you did a mistake as you did more than one change; the rule is/was "take a word, change one letter, or add one, or take one away to make another word" and you removed one from the beginning and added another to the end)
overs
covers
rovers
raver
aver (though, The Party Boy, you did two changes; changed one letter and added another).
ever
over
lover
liver
river
driver
driven
Drive
dive
diva
Divan