Sherlock Holmes was challenged to make a pre-drawn line smaller without erasing it. He did it in fractions of seconds. How?

What does below rebus means ?

What is the largest number you can write with just 3 digits?

What can you catch but never throw?

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

How will you measure 15 minutes using two hourglasses of 7 minutes and 11 minutes respectively?

If 5 cats catch 5 mice in 5 minutes, how long will it take one cat to catch a mouse?

In the attached figure, you can see a chessboard and two rooks placed on the chess board. What you have to find is the number of squares that do not contain the rooks. How many are there?

You are a prisoner sentenced to death. The Emperor offers you a chance to live by playing a simple game. He gives you 50 black marbles, 50 white marbles, and 2 empty bowls. He then says, 'Divide these 100 marbles into these 2 bowls. You can divide them any way you like as long as you use all the marbles. Then I will blindfold you and mix the bowls around. You then can choose one bowl and remove ONE marble. If the marble is WHITE you will live, but if the marble is BLACK... you will die.'

How do you divide the marbles up so that you have the greatest probability of choosing a WHITE marble?

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