Find the next number in the sequence

1, 2, 6, 21, 88, __?

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

Can you place six matchsticks in a manner that each of the matchsticks is in touch with the other five matchsticks?

What is the longest word in the dictionary?

An exterior architect is asked by a builder to plant seven trees in a manner that there are exactly six rows of trees in a straight line and each row has three trees in particular.

How will he do it?

In my garden, I have many trees but only one of them is the mango tree. In these mango trees, there are some mangoes(as expected).

But after a strong wind, there are neither mangoes on the tree nor on the ground. Explain?

What do the following words have in common?

Assess
Banana
Dresser
Grammar
Potato
Revive
Uneven
Voodoo

Two boys wish to cross a river. The only way to get to the other side is by boat, but that boat can only take one boy at a time. The boat cannot return on its own, there are no ropes or similar tricks, yet both boys manage to cross using the boat.

How?

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?

You have a 12 liters jug full of water. You have two empty 8 liters and 5 liters jug. How can you divide the water into two equal parts using these jugs?