I have no doors but I have keys, I have no rooms but I have space, you can enter but you can’t leave! What am I?

How much will a 38° angle measure when looked at under a microscope that magnifies ten times?

Rectify the following equality 101 - 102 = 1 by moving just one digit.

Decode below rebus
D
N
A
T
S , D

A word I know has six letters it contains, remove one letter and 12 remain. What is it?

There were five men at church, and it started raining while they were outside. The four that ran still got wet, but the one that was still stayed completely dry. Why did he stay dry?

What has a bottom at the top?

A man was going to bleach his socks because they had gotten muddy the day before. As he was pouring the bleach into the washing machine, he spilt some on the floor. He got some cleaning fluid and mopped it up with a rag. Minutes later he was dead. What killed him?

In an office's desk, you find a unique method that shows the current day of the month. Two numbered cubes are used to depict the current date.

Can you find out the numbers on both the cubes so that each date can be mentioned using them?

Please note that you have to use both the cubes to display any date. Thus the 1st day must be represented by 01 and so on.

I am a prime number.
The double of myself is equal to the square of me.

which number am I?