I have branches, but no fruit, trunk or leaves. What am I?

I know a 5-digit number having a property that With a 1 after it, it is three times as large as it would be with a one before it.

Guess the number?

If two's company, and three's a crowd, then whats four and five ?

When you say goodbye, I am what you need to tie.
I come as a couple and go wherever you run.
Who am I?

A professor thinks of two consecutive numbers between 1 and 10.
'A' knows the 1st number and 'B' knows the second number

A: I do not know your number.
B: Nor do I know your number.
A: Now I know.

What are the four solutions for this?

Arrange the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 above and below the division line in a manner that the thus formed fractions equal to 1/3.

(You can use one number only once)

Which of the below owl is odd one out?

If a zookeeper had 100 pairs of animals in her zoo, and two pairs of babies are born for each one of the original animals, then (sadly) 23 animals don’t survive, how many animals do you have left in total?

Why Wine Glass Stem is so long?

Can you solve the tricky chess rebus puzzle below by ciphering the hidden meaning?