A Fruit Riddle

I am a fruit.

Remove my first letter and I become a crime.

Remove my first two letters and I become an animal.

Remove my first and last letter and I become a type of music.

What fruit am I?

Scroll down for a clue and further down for the answer.

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Clue: The animal is a primate.

Scroll down for the answer.

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Answer: Grape.

Remove my first letter and I become a crime. (Rape)

Remove my first two letters and I become an animal. (Ape)

Remove my first and last letter and I become a type of music. (Rap)