Good Riddles

 
Head Candy (medium)

Question: I have existed for centuries, but last only a month. What am I?

The Fruit (medium)

Question: I am a fruit. Remove my first letter, it's a crime. Remove my first and last letter, it's a kind of music. What do you think am I?

Question: in all of written history I won't show up at the end of a sentence but I will be there in the end . . .

Time for Men (medium)

Question: Time belongs to men twice a day - what time is it?