I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

Find the Odd One Out?
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Replace each alphabet with the number (1-9) to make the below equation correct.

AB * C = DE - F = GH / I

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?

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

Different lights make me strange by changing me into different sizes. What am I?

A tree doubled in height each year until it reached its maximum height over the course of ten years. How many years did it take for the tree to reach half its maximum height?

We have four gears with below features=> Both Gear A and D has 60 teeth=> Gear B has 40 teeth=> Gear C has 20 teeth=> Every two minutes, Gear B makes 25 full turns.What is the relative speed of Gear A and Gear B?

What is the word or phrase?

Queen Elizabeth organised a royal party.

To Avoid uninvited guest royal family set a password.
Jack (an uninvited person) plan to enter the party. He stand nearby the door.

First guest comes, the security person said 'twelve' and guest replied with six.
Second guest comes , the security person said 'six' and guest replied with 'three'.

Jack thought is enough and he walked to the entry point. The security person said 'eight' , Jack replied smilingly 'four'.
He was immediately thrown out of the party. why ?