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?

I get hot but I never sweat,
I cook food but I am not a chef,
I have a door but you can't enter me,
I have a light but I am not a lamp.
Who am I?

Can you solve this picture maths equation?

What month of the year has 28 days?

A man started to town with a fox, a goose, and a sack of corn. He came to a stream which he had to cross in a tiny boat. He could only take one across at a time. He could not leave the fox alone with the goose or the goose alone with the corn. How did he get them all safely over the stream?

In an interview, a boy was asked an unusual question 'How two persons sitting with a table in between them can't see each other?' He was unable to reply. Can you?

I have a hole in my back and legs I lack.
I live where I can’t breathe and I eat without teeth.
What am I?

They came out at night, without being called.
They lost at day, without being stolen.
Who are they?

Known by all without exception, Forever here, for your protection, Sometimes strong, sometimes weak, Right after the night I come - hot and chic. And while millions of miles away, I always get to you, I find my way. No life around could do without me, Can you guess what I might be?

I have a head like a cat and feet like a cat, but I am not a cat. What am I?