What does the below image rebus riddle means ?

It's pretty hard to give up.
If you remove a part of it, you will be left with a bit.
Even if you remove another part, the bit still remains.
Remove one more and it still remains.

What is it?

During which month do people sleep the least?

There is a wide field of corn. A goose finds its way into the field and starts running. Can you find out till which point the goose can run into the field?

Bopanna was working on a murder case when he received a message about the location of the murder weapon.
The message was encrypted as below.

"deb mitciv eht edisni neddih si nopaew redrum ehT"

Tell me the location of the murder weapon.

Which alphabet is a part of our body?

The current time can be represented by below textual rebus.

0
=========
B.Sc
LLB

Can you tell us the current time?

I am an eight letter word and I am a computer terminology.
The second, third and fourth letters make an animal.
The fourth, fifth, sixth, seventh and eighth letters make a weapon.
The first, second, third and fourth letters can be taken as an outcome of any exam.
The fifth, sixth, seventh and eighth letter combine to form a high end typing software.

Can you tell who am I ?

If 5 cats catch 5 mice in 5 minutes, how long will it take one cat to catch a mouse?

John left on a horse on Thursday , was gone for two days, and came back on Thursday after completing his work. How did that happen?