Baseball bat and ball cost $100. If the bat cost $99 more than the ball, what is the cost of each?

Buy me, smell me or deliver me, I do not change.

Who am I?

During a secret mission, an agent gave the following code to the higher authorities
AIM DUE OAT TIE MOD

However, the information is in one word only and the rest are fake. To assist the authorities in understanding better, he also sent them a clue, If I tell you any one character of the code, you can easily find out the number of vowels in the codeword.

Can you find out the code word?

What number divided by 4 is the same as that number minus 4?

Can you count the number of quadrilaterals in the picture below?

Can you place three balls such that the equation shown in the picture holds true?

A King wants to send the diamond ring to his girlfriend securely. He got multiple locks and their corresponding keys. His girlfriend does not have any keys to these locks and if he sends the key without a lock, the key can be copied in the way. How can King send the ring to his girlfriend securely?

You throw me out when you want to use me and you take me in when you don't want to use me.

Who Am I?

In the figure that has been attached to this question, each digit represents a digit. The similar letters carry the same integer value. Can you expose the original digits?

A man is lying dead in a field where no one is around. His head is split open and his legs are disfigured. Near to him, there is an unopened package. No living organism can be found anywhere at the crime scene.

How did he die?