I know a country, If you remove the last alphabet of its name, it will become a part of your body. Do you name it?

Sherlock Holmes was challenged to make a pre-drawn line smaller without erasing it. He did it in fractions of seconds. How?

The person who makes it has no need for it. He who purchases it does not use it. The person who does use it does not know they are. What is it?

Below, you can see some coding:
January = 1017
February = 628
March = 1335
April = 145
May = 1353
June = 1064
July = 1074
August = 186

Now deciphering the way it has been coded, can you find out how September will be coded?

Can you find out the remainder when 3^300 is divided by 5?

In a science lab, a petri dish hosts a healthy colony of yeast for an experiment. Now every minute, all the yeast cells divide into two. At noon, there was just a single cell of yeast and at 1:22, the Petri dish was half full. Can you calculate when the dish will be full of yeast?

What is the below Rebus indicate?

There are 2 people near the river and both of them want to get on the other side. The boat can only take one of them. But they got across.
How?

How high do you have to count before you use the letter “a” in the English spelling of the whole number?

A pregnant woman is preparing to name her seventh child. Her children's names so far are Dominique, Regis, Michelle, Fawn, Sophie, and Lara. What will she name her next child -- Jessica, Katie, Abby or Tilly?