What number comes next in the series?

5 15 5 18 5 24 14 20 _

A man is approaching a broad and barren land. He has a package with him. If somehow, he is unable to open the package before reaching the land, he will die.

Can you guess what is present in the package?

There are 20 people in an empty, square room. Each person has full sight of the entire room and everyone in it without turning his head or body, or moving in any way (other than the eyes). Where can you place an apple so that all but one person can see it?

I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

Two in a corner, one in a room, zero in a house, but one in a shelter. What is it?

The product of three consecutive numbers is 7980.
Then the sum of these consecutive numbers would be?

You stand in front of two doors. A guard stands next to each door. You know the following things: one path leads to paradise, the other leads to death. You cannot distinguish between the two doors. You also know that one of the two guards always tells the truth and the other always lies. You have permission to ask one guard one question to discover which door leads to paradise. What one question would you ask to guarantee you enter the door to paradise?

I get hot but I never sweat,
I cook food but I am not a chef,
I have a door but you can't enter me,
I have a light but I am not a lamp.
Who am I?

What is wrong in the below Picture?

In the image given, you can find several triangles. Can you count them all?