It is always ahead of me yet I can never see it. What is it?

There are two insects on a tile. Insect X is sitting on one side of the tile (point A) and Insect Y is sitting opposite on the other side of the tile (point B). Now both of them decide to change their position and thus X starts crawling to point B and Y starts crawling to point A. When they meet and pass each other in between, X takes 20 seconds to reach B and Y takes just 5 seconds to reach A.

Can you calculate the total time each of the insects took to change their positions?

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

What three numbers, none of which is zero, give the same result whether they’re added or multiplied?

Look at this sequence from top to bottom. What is the next number in the sequence?
1
11
21
1211
111221
312211

A convention is held where all the big logicians are summoned. The master places a band on everyone's forehead. Now all of them can see others bands but can't see his own. Then they are told that there are different colours of bands. All the logicians sit in circle and they are further explained that a bell will ring at regular intervals. The moment when a logician knew the colour of band on his forehead, he will leave at the next bell. If anyone leaves at the wrong bell, he will be disqualified.

The master assures the logicians that the puzzle will not be impossible for anyone of them. How will the logicians manage ?

I speak without a mouth, and hear without ears. I have no-body, but I come alive with the wind. What am I?

Can you replace the question mark with the correct number in the below table sequence?

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?

Why do we preferably have round manhole covers and not square ones?