Can you fill the blank with the correct number?

6 30 870 756030 _____

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

Fate has decided that you will only be pleased to meet me when you need me

Maybe that is why, when I am working, I start working

However annoying I may be to the regulars, the little ones are always inspired

I will always be waiting if you try to reach me

How many of you can guess my name, let me see

Can you find the next number in the below sequence
3 , 7 , 10 , 11 , 12 , 17 ?

When is the top of a mountain similar to a savings account?

In 1990, a person is 15 years old. In 1995, that same person is 10 years old. How can this be?

There is an English word that can be used up to four times in a row without modifying the spelling and form a valid grammatical sentence.

Do you know what word is that?

You can win me and lose me but never buy me
You can not eat me and never want to part with me
I can make you cry or bring you joy
I am not a machine and definitely not a toy
You keep me but i am not forever just yours
You might find me in a case or on a shelf next to a vase
I am hard and i am tall if you bump me i am sure to fall
I am made of different materials and am at many events
If your lucky and fight hard I might be yours
What am I ?

Can you make numbers like 24, using numbers 3,3,7 & 7 with any arithmetic operator?

You are given a cube that is made with the help of 10x10x10 smaller cubes summing up to a total of 1000 smaller cubes. You are asked to take off one layer of the cubes.
How many remain now?