I am an odd number. Take away a letter and I become even. What number am I?

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!

Find the Next Number in the Sequence

2 9 3 1 8 4 3 6 5 7 ?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?

Name a key which is hardest to turn.

Your last good ping-pong ball fell into a narrow metal pipe embedded one foot deep in concrete.
How can you get it out undamaged, if all the tools you have are your tennis paddle, shoe laces, and plastic water bottle, which does not fit into the pipe?

If Rajina's daughter is my daughter's mom, who am I to Rajina?

Optical Illusion Eye Test: You Have A Brain Like Computers If You Can Spot Two B's Among R's In 8 Seconds!

You know three triplets: Frank John and Wayne (need to return your money). Frank always tells the truth while John and Wayne always lie. You meet one of them on the road and can ask him a three-word question.
Which question, will you ask?

A Monkey, a squirrel, and an Eagle are racing to the top of the mango tree. Assuming all these animals are in perfect shape, Which animal will reach to Banana first?