While house hunting in London, I came across a very good leasehold property Discussing the lease the landlady told me:

'The property was originally on a 99 years lease and two-thirds of the time passed is equal to four-fifths of the time to come. Now work it out for yourself and see how many years are to go!

Why is the Hole below a Lock?

There is one four-digit whole number n, such that the last four digits of n2 are the original number n

There are hundred red gems and hundred blue gems. The blue gems are priceless while the red gems equal wastage. You have two sacks one labeled Heads and the other Tails. You have to distribute the gems as you want in the two sacks. Then a coin will be flipped and you will be asked to pick up a gem randomly from the corresponding sacks.

How will you distribute the gems between the sacks so that the odds of picking a Blue gem are maximum?

I am something people love or hate. I change peoples appearances and thoughts. If a person takes care of them self I will go up even higher. To some people I will fool them. To others I am a mystery. Some people might want to try and hide me but I will show. No matter how hard people try I will Never go down. What am I?

A word I know,
Six letters contain,
Subtract just one,
And twelve is what remains.

Can you count the number of triangles in the given figure?

When it's bad luck to meet a black cat?

Here is a mathematical expression that also secretly tells a movie name. What movie is that?

Find the 8 in the below-given Image.