I am soft and cuddly that soothe your heart. But, If you pick my last name I am going to tear you all apart. Who am I?

In the Chess Board picture below white army is arranged. You need to add a black army on the board such that no piece is under any threat.
Note: Army comprised of 1 king, 1 queen, 2 rooks, 2 bishops, 2 knights, and 8 pawns.

There was a strange boy who was born before his father. How can this be possible?

using four eights (8) and a one (1) and one mathematical symbol , create the number 100

A mathematics teacher took exams for his students. Out of the total students, 25% passed both the tests included in the exam. However, only 42% were able to clear the first test.

Can you find out the percentage of those students who passed the first test and also passed the second test?

A bag contains 64 balls of eight different colours. There are eight of each colour (including red). What is the least number you would have to pick, without looking, to be sure of selecting 3 red balls?

What always comes into a house through the keyhole?

Solve the mathematical equation in the picture below.

Buy me, smell me or deliver me, I do not change.

Who am I?

Can you identify the direction in which this bus is moving; left or right?

Hint: The bus is moving on the roads of London.