What number comes next in this sequence:
7 8 5 5 3 4 4 _

There is a unique number which when multiplied by any number from 1 to 6, we will get the new number that contains the same digits only.

Can you find that number?

As a whole I am both
safe and secure.

Behead me and I become
a place of meeting.

Behead me again and I am
the partner of ready.

Restore me, and I become
the domain of beasts.

What am I?

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?

Can you calculate the probability of getting a sum of six when a dice is thrown twice?

I am quite hot but become too cold if you remove the first two letters. What am I?

The following alphametic has only one solution. Can you find it?
ENLIST + SILENT + LISTEN = ANAGRAM

PS: You may start the number from 0.

In the image below, you can see two glasses and two matchsticks.You need to move four matchsticks in such a manner that the crosses come inside the glasses. Note: you cannot move the crossed.

Sherlock Holmes was challenged to make a pre-drawn line smaller without erasing it. He did it in fractions of seconds. How?

Can you replace the question mark with the correct number in the below table sequence?