Can you find the key in the picture below?

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?

Forwards I am heavy, backward I am not. What am I?

A king sentenced a man to the death sentence for some crime he had committed. Known for his kindness, the king told the culprit that he had a choice to die in a way he decides.

The culprit was clever and said something that saved him from death. What method do you think he must have chosen for his death?

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?

Move four matchsticks to the below square to form three squares?

Can you find out the total number of triangles in the given figure?

Given that

(78)^9 = 6
And (69)^4 = 11

Can you find out

(99)^2 =?

(Note: This is Logical, not Mathematical)

What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?

I taste better than I can smell. Who am I?