Who is that with a neck and no head, two arms and no hands? What is it?

I am lying and I always lie. Tell me whether I am lying or telling the truth.

I can sizzle like bacon,
I am made with an egg,
I have plenty of backbone, but lack a good leg,
I peel layers like onions, but still remain whole,
I can be long, like a flagpole, yet fit in a hole.

Below the four parts have been reorganised. The four partitions are exactly the same in both arrangements. Why is there a hole?

Using mathematical symbols like +, -, and x in order to make the equations correct. Replace # with the above-given symbols.

9 # 8 # 7 # 6 # 5 # 4 = 91

"That Restaurant always remains crowded. This is the reason why nobody goes there".

Can you find a flaw in this statement?

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?

John and Jacob are twin brothers. One of them is a liar whereas the other one is a truth-teller.

I called their home number and one of them picked up.
I asked. 'Does John lie?' The person replied with a yes.

Whom did I talk with, John or Jacob?

Replace the question mark with the number below given a simple math problem.

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?