self Maths Puzzle

This is a simple Number System Problem, posted under Placement Category

Let x, y and z be distinct integers. x and y are odd and positive, and z is even and positive. Which one of the following statements cannot be true?

1)(x-z)2 y is even 2)(x-z)y2 is odd 3) (x-z)y is odd 4)(x-y)2z is even

Read Solution (Total 2)

self Other Question

When Alexander the Great attacked the forces of Porus, an Indian soldier
was captured by the Greeks. He had displayed such bravery in battle, however,
that the enemy offered to let him choose how he wanted to be killed. They told
him, "If you tell a lie, you will put to the sword, and if you tell the truth you will be
hanged."
The soldier could make only one statement. He made that statement and went
free. What did he say?
You have a basket containing ten apples. You have ten friends, who each desire an apple. You give each of your friends one apple.

After a few minutes each of your friends has one apple each, yet there is an apple remaining in the basket.

How?