What goes up but never comes down?

John speaks the truth only once a day in a week. Below are a few hints for you:

First: Days are Sunday, Monday and so on.
Second: One day he says, "I lie on Monday and Tuesday".
Third: On the next day, he says, "Today is either Thursday, Saturday or Sunday".
Fourth: On the next day, he says, "I lie on Wednesday and Friday".

Can you identify the day on which he speaks the truth?

Make eight squares by moving only two matchsticks.
Note- Square can be of different sizes.

Can you fill the blank with the correct number?

6 30 870 756030 _____

What you cannot hold but it is yours?

Solve the equation in the image by looking at the pattern closely.

If in a car race, the man who came two places in front of the last man finished one ahead of the man who came fifth, how many contestants were there?

You are given 2 eggs.
You have access to a 100-storey building.
Eggs can be very hard or very fragile means it may break if dropped from the first floor or may not even break if dropped from 100th floor, Both eggs are identical.
You need to figure out the highest floor of a 100-storey building an egg can be dropped without breaking.
Now the question is how many drops you need to make. You are allowed to break 2 eggs in the process

2, 3, 5, 9, 17, _ What is the next number in the sequence?

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