Find The Next Number in this series.
1, 2, 6, 42, 1806 ?

Take 9 from 6, 10 from 9, 50 from 40, and leave 6.

How Come ??

Replace all '*' with digits 1, 2, 3, 4, 5 and 6 to make below statement true.

* *
x *
=====
* * *

The square root of number 121 is "11". What is the square root of the number "12345678987654321."?

Can you complete the sequence puzzle?

AR TA GE CA LE VI LI _

As shown in the image, the nine Dogs are square fenced. By constructing just two square fences can you make sure that two Dogs cannot meet each other without crossing the fence?

What breaks yet never falls, and what falls yet never breaks?

During an interview, the interviewer ordered hot coffee for the candidate to relieve the stress. The coffee was kept before him. After a minute, the interviewer asked him, 'What is before you?' He replied 'Tea'.

The candidate was selected immediately. Why?

You have four chains. Each chain has three links in it. Although it is difficult to cut the links, you wish to make a single loop with all 12 links. What is the fewest number of cuts you must make to accomplish this task?

Find three numbers such that

* When we multiply three numbers, we will get the prime numbers.
* The difference between the second and the first number is equal to the third and second.