If you get new job, what you will do in first month?

Be Smart Enough to show my presence by doing all the given duties and study them very well from my seniors and for sure with limit i have to get together with all the staffs in the company to gain there respect and attention. :)

I will go with

Option2:  which is 'Learn everything related to the new job' and

Option4: which for me is

a) To know & enquire more about the nature of the job

b) Knowing my exact duties & responsibilities

c) Whom Iam reporting to and who is reporting to me

d) Interacting extensively with my collleagues and superiors 

e) To learn about the new environment

f) Suggesting and improving any job related issues. 

g) Implementing my experience from the previous job so as to impress the superiors

h) Developing rapport with my immediate colleagues and superiors in order to gain confidence of them

 i) If needed working extra hours to learn anything related to my new job.

Option2 is favorable for me.

for me one and two is both an acceptable answers cause you cant take any action or make any decisions beforeyou know everything about the industry and the company you work with

Take time to talk to your manager about working styles and to understand their current priorities as a manager

Must learn everything related to the job and ask about anything related to it.

study position with activities & duties.

start to build trust relation with colleagues.

study position history.

additional to that you mention 

I believe that it depends on the type and level of job, but generally I'll study the business environment of the company, I'll read the company policies & procedures, I'll try to get information about the history of people who was in my place before, what they accomplished and what they not, I'll evaluate my team and plan how to manage them, and will gather data about key functions and key players in the company.

No,2 would be the ideal answer, where each job has its own secrets and being silent or not caring both could be misunderstood  

i choose number2, it is very important to learn everything about the job, so that in the future you can decide whether to stay in the job or not, and if it fits your goals and your career path or not.