Can you find the ages of a son, father and grandfather based on the following facts?
The sum of the ages of grandfather, father and son is 140 years.
The age of the son in months is the same as the grandfather in years.
The age of the son in days is the same as the father in weeks.

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

Can you find the number?

Can you find the largest Three-digit number whose sum is 14 and whose square is less than 5,00,000?

What number divided by 4 is the same as that number minus 4?

A chicken farmer has figured out that a hen and a half can lay an egg and a half in a day and a half. How many hens does the farmer need to produce one dozen eggs in six days?

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

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

Can you arrange four 9's and use at most 2 math symbols, to make the total 100?

In a basket of apples,
when counted in twos, there was one extra
when counted in threes, there were two extra when counted in fours, there were three extra
when counted in fives, there were four extra
when counted in sixes, there was five extra.

However, if the apples were counted in sevens, no extra apple was left. Can you calculate the minimum number of apples that were present in the basket?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?