I have 3 unit circles. Two of them are externally tangent to each other. The third one passes through the tangent point, cutting two symmetrical areas from those two circles, as shown in the diagram. What is the shaded area?
Numbers in circles follow the pattern shown below. In which horizontal row of circles does the number 1001 first appear?
I am the study of the history of words. Change my third letter then add a letter between my first and third and you have a study of insects. What am I?
Look at the pattern in first two pentagon and find the missing number in the third one?
In a chess game a man plays 16 moves , one move to every piece in the following manner:
King can move 1 step in every direction
Queen can move in every direction
Rook can move straight in any direction
Bishop can move in slant squares
Knight can move 2 forward then 1 turned step
Every pawn moves 1 or 2 step forward
What is the probability that after that move all the piece are arranged in third and fourth row if initially they are arranged in first and second row as the rule of game.