What is both possible and impossible at the same time?

A man dies of old age on his 25 birthday. How is this possible?

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?

What's the best place to go shopping in the ocean?

You may enter, but you may not come in. I have space, but no room. I have keys, but open no lock. What am I?

A plane crashed between the border of Mexico and America. Where do you bury the survivors?

In The 1st month of this year(the year 2013), I noticed that the date 13-1-13 (13 January 2013) is special.

This date is special as:

Date * Month = Year.

Can you figure out which year of this century has a maximum number of such dates?

If six children and two dogs were under an umbrella, how come none of them got wet?

Jenifer and Jesica are having a conversation.

Jenifer: I am definitely not over 30.
Jesica: I am 28 and you are surely 5 years older to me at least.
Jenifer: No, you are at least 29.

You are told that both of them are lying throughout in the conversation. Can you find their respective ages?

If 21x = 79x, what is the value of x?