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

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

What does this mathematical rebus means ?

Can you find out which number multiplied by itself will give the output as 12345678987654321?

Below, you will find the mathematical proof that 10 equals 9.99999?. But is that possible or there is something wrong about it? Can you find the error?

x = 9.999999...
10x = 99.999999...
10x - x = 90
9x = 90
x = 10

Using Only Five 5's and any mathematical operator make sum as 37

If 5 cats catch 5 mice in 5 minutes, how long will it take one cat to catch a mouse?

Before the start of the car race, John and Jacob have the same amount of fuel in their car. With this fuel, John can drive for 4 hours while Jacob can drive five hours.
After a time they realize that the amount of fuel left in John's car is 1/4th of the fuel in Jacob's.

For how long they are racing?

A four-digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D, where A^B means A raised to the B power. Can you find it?

Can you find the missing number in the third row?
35 20 14
27 12 18
5 2 ?

Rectify the following equality 101 - 102 = 1 by moving just one digit.