What breaks yet never falls, and what falls yet never breaks?

They are three errirs in this question. Can you find them?

The peacock is a bird that does not lay eggs. How do they get baby peacocks?

I am the black child of a white father, a wingless bird, flying even to the clouds of heaven. I give birth to tears of mourning in pupils that meet me, even though there is no cause for grief, and at once on my birth, I am dissolved into air. What am I?

How many triangles are there on the puzzle below?

There are 2 people near the river and both of them want to get on the other side. The boat can only take one of them. But they got across.
How?

What do you get if you add 2 to 100 four times?

Remove two matchsticks to make the below equation correct.

If Japan and Panama decided to merge into a single country, probably people will name it Japanama.

Can you think of two more such country's unions that could produce similar names like Japanama by overlapping their three letters?

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?