What has one letter and starts with an E?

Using four sevens (7) and a one (1) create the number 100. Except for the five numerals, you can use the usual mathematical operations (+, -, x, :), root and brackets ()

Find out the missing number in the picture attached:

John, Jack and Jill are in a desert. John doesn't like Jill and hence decides to murder him. He poisons the water supply of Jill. Since it is a desert area, Jill must drink or he will die of thirst.

Jack does not know of the actions of John and also decides to murder Jill. To succeed in his ill motives, he removes the water supply of Jill so he dies of thirst.

Jill dies due to thirst. Who murdered Jill?

Which statement is true out of the following?
One statement here is false.
Two statements here are false.
Three statements here are false.

Three doctors said that Bill was their brother. Bill says he has no brothers. How many brothers does Bill actually have?

Can you find out which number multiplied by itself will give the output as 12345678987654321?

Replace the letters of words with a number so that the below equation holds true

BASE +
BALL
---------
GAMES
----------

Can you find out who is the kidnapper in below Picture and why, Explain ?

Below the four parts have been reorganised. The four partitions are exactly the same in both arrangements. Why is there a hole?