What is both possible and impossible at the same time?

What is 3/7 chicken, 2/3 cat and 2/4 goat?

You are given four tennis balls and asked to arrange those balls in a manner that the distance between each one of them is exactly equal. How will you do it?

In a basket of apples,
when counted in twos, there was one extra
when counted in threes, there were two extra when counted in fours, there were three extra
when counted in fives, there were four extra
when counted in sixes, there was five extra.

However, if the apples were counted in sevens, no extra apple was left. Can you calculate the minimum number of apples that were present in the basket?

All of the flowers I have are orchids except two. All of the flowers I have are hibiscuses except two. All of the flowers I have are roses except two.

Can you tell me how many flowers I have?

Replace the question mark in the picture below.

In the given figure, move three matchsticks so that the resulting figure contains two rectangles.

People put me on the table and cut me but do not eat me. What am I?

Can you solve the below tricky visual equation?

An office is divided into 8 cubicles. How many of the cubicles are painted if only 1/8 of the cubicles are painted?