The correct options are
A The shape of Karnataka closely resembles that of a coffee bean.
C The Bay of Bengal is situated along its western frontier.
D Karnataka has no UNESCO world heritage sites.
The shape of the state of Karnataka is very similar to that of a cashew nut. The state shares its borders with six other Indian states, namely, Andhra Pradesh, Telegana, Kerala, Tamil Nadu, Goa, and Maharashtra. The Arabian sea is located along its western frontier. Karnataka has two UNESCO world heritage sites, namely Hampi, and Badami.
Thus, the 1st, 3rd, & 4th statements about Karnataka are incorrect.