Last Month’s Riddle

I have one, you have one. If you remove the first letter, a bit remains. If you remove the second, bit still remains. After much trying, you might be able to remove the third one also, but it remains. It dies hard!

What is it?

Answer: 

A habit.

Remove h – a bit remains
Remove a – bit remains
Remove b – it remains

Thank you to all of you who submitted correct answers, but, unfortunately, we only picked one winner. We hope you try this month’s head scratcher!