Can you solve below mathematical equation?

2^1234 - 2^1233

Find three whole, positive numbers that have the same answer when multiplied together as when added together.

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

Solve below popular number sequence
314 159 265 358 979 323 846 ?

What is the largest number you can write with just 3 digits?

A rubber ball keeps on bouncing back to 2/3 of the height from which it is dropped. Can you calculate the fraction of its original height that the ball will bounce after it is dropped and it has bounced four times without any hindrance ?

A number can be multiplied by multiple of nine
i.e 9 18 27 36 45 ...

and the resulting number consist of only one digit.

Can you identify the number ?

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

A little girl goes to the store and buys one dozen eggs. As she is going home, all but three break. How many eggs are left unbroken?

What will be the best approach to finding all the prime numbers less than 75 that leave an odd reminder when we divide them with 5?