Name one eight-letter word with 'kst' in the middle, 'in' the beginning, 'and' at the end.?

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

I am looking for a word that change both gender and number when i add the letter 'S'.

What Word am I Looking For ?

Can you find a pattern and the missing number in the series given below?

100, 155, 258,? , 584, 819.

You need to remove two matchsticks to make the below equation true. Can you do it ?

A couple went on a climbing trip. But only the husband returned from the vacation and said that his wife slipped off while climbing and died. On investigating, the local sheriff arrested him saying, 'Your travel agent called. You murdered your wife.'

The man did not inform anyone about the trip. Then how was the agent so sure that it was a murder?

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

Find the hidden panda in the image below.

Your mother’s brother’s only brother-in-law is asleep on your couch. Who is asleep on your couch?

A detective visits his friend John just to discover that John's neighbour Dr Jacob was murdered. Dr Jacob, who is a mathematician wrote the murderer's name in a code word "Hcqtfz". There were five suspects
1. Ajit
2. Pankaj
3. Ganpat
4. Deenu
5. Hariya

The Detective was instantly able to find the murderer.
Can you?