We have shown you a regular water barrel as below. Without using any measuring device can you check if the barrel is more than half-filled or less than half-filled?

A newspaper is supposed to have 60 pages, but pages 24 and 41 are missing.
Which other pages won't be there?

You have a basket containing ten apples. You have ten friends, who each desire an apple. You give each of your friends one apple.
Now all your friends have one apple each, yet there is an apple remaining in the basket.
How?

Can you think of a smallest +ve number such that if we shuffle the digits of the number, the new number becomes double the original number?

Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

In the below-given picture of a pretty girl, there is something wrong. Can you find out what it is?

The day before yesterday I was 25 and the next year I will be 28. This is true only one day in a year. What day is my birthday?

When I asked a girl's name she told me her name is the date '07/09/2001'.

I thought for a few seconds and then I got her name. Do you?

Christina, Allison and Lena are 3 daughters of John a well-known Mathematician, When I asked John the age of their daughters. He replied "The current age of her daughters is prime. Also, the difference between their ages is also prime."

How old are the daughters?

Can you divide the below-given shape into four equal and identical pieces?