Can you fill the blank with the correct number?

6 30 870 756030 _____

One evening there was a murder in the home of a married couple, their son and daughter. One of these four people murdered one of the others. One of the members of the family witnessed the crime.

The other one helped the murderer.

These are the things we know for sure:

1. The witness and the one who helped the murderer were not of the same sex.

2. The oldest person and the witness were not of the same sex.

3. The youngest person and the victim were not of the same sex.

4. The one who helped the murderer was older than the victim.

5. The father was the oldest member of the family.

6. The murderer was not the youngest member of the family.

Who was the murderer?

The picture shows the dice results in each couple of throws. If they are actually following a pattern, can you find out the missing one?

In the picture, you can see a chess board. On the top left position, the K marks a knight. Now, can you move the knight in a manner that after 63 moves, the knight has been placed at all the squares exactly once excluding the starting square?

What number comes next in the series?

5 15 5 18 5 24 14 20 _

A newspaper is supposed to have 60 pages.Pages 14 and 21 are missing from the newspaper.

Can you tell me , Which other pages won't be there as well ?

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

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

A man dies of old age on his 25 birthday. How is this possible?

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

Who can jump higher than a Mountain?