Our product and our sum always give the same answer. Who are we?

You have two strings whose only known property is that when you light one end of either string it takes exactly one hour to burn. The rate at which the strings will burn is completely random and each string is different.

How do you measure 45 minutes?

When monkey rotate the gear, which mark will be hit 1 or 2 ?

When I get multiplied by any number, the sum of the figures in the product is always me. What am I?

The day after tomorrow will be three days before Tuesday. Can you find out what is today?

What is red and smells like blue paint?

Always in you, Sometimes on you;

If I surround you, I can kill you.

What am I?

500 women soldiers are arranged in an array of ten rows and fifty columns in accordance with their respective heights. Now, the tallest woman from each row is asked to move out in the front. From them, the shortest one is labelled as Alpha. They are then asked to resume their original position.

Now, the shortest woman in each column is asked to come out in front. The tallest among them is labelled as Beta.

Can you find out if Alpha will be taller or Beta?

In a competitive exam, each correct answer could win you 10 points and each wrong answer could lose you 5 points. You sat in the exam and answered all the 20 questions, which were given in the exam.
When you checked the result, you scored 125 marks on the test.

Can you calculate how many answers given by you were wrong?

Can you solve the maths in the below-given picture equation?