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?

In a supermarket, there is an intelligent glass pane before a refrigerating unit. This glass pane allows cherries and apples through it but does not allow grapes and Orange to pass through it.

Can you identify the rule that the glass pane is following?

Replace the question mark with the correct number in the below-given picture?

Twenty frogs are sitting on a log floating on the surface of a river. Two of them decide to jump off into the water.

How many frogs are there on the log at this moment?

It comprises roots which nobody sees,
Much taller than those trees,
Up and up it goes,
Still it never grows?

Can it be possible to build a house that has all its four walls facing towards the South?

A maths symbol is hidden in the below Bar Graph. Can you decipher it?

Can you place three balls such that the equation shown in the picture holds true?

Give it food and it will live; give it water and it will die.

I have no life, but I can die. What am I?