Can you find a pattern and the missing number in the series given below?

100, 155, 258,? , 584, 819.

Can you count the number of triangles in the given figure?

Can you guess the name of the month by looking the below rebus ?

The more of this there is, the less you see. What is it?

The centre of the third figure is empty. What digit should fit inside?

Spot what is wrong here in below Picture?

You have a basket containing ten apples. You have ten friends, who each desire an apple. You give each of your friends one apple.
Now all your friends have one apple each, yet there is an apple remaining in the basket.
How?

Find a 9-digit number, which you will gradually round off starting with units, then tenth, hundred etc., until you get to the last numeral, which you do not round off. The rounding alternates (up, down, up ...). After rounding off 8 times, the final number is 500000000. The original number is commensurable by 6 and 7, all the numbers from 1 to 9 are used, and after rounding four times the sum of the not rounded numerals equals 24.

Prove that twice of ten is the same as twice of eleven.

In a town, there are over 100 flats.
Flat-1 is named first flat.
Flat-2 is named second flat.
Flat-3 is named third flat.

A visitors 'Victor' decides to walk through all the flats, he finds all the flats except flat-62.
Victor later founds that the local of the town have given it another name.

What is the name of the Flat?