What is Chillah Sunnat or Bidat:From Quran Hadith Where these 40 days and 3 days 4 months has Come: Tablighi Jamaat

Assalam O Alaikum Wa Rahmatullah Wa Barakatuhu

Some Groups make confusin and ask from where 40 days, 3 days 4 Months? Present  Ayat in Quran And Hadith??????

Is there any Ayats from Quran And Hadith that a Person has to read 6 years in Madarsa to become an Alim?????????????

Is there any Quran Ayats and Ahadith that Such and Such Books/Syllabus/Exams should be their to become Alim/Fazil/Mufti/Scholar?????????????? 
These question itself is strange >>>>>>>>>>>.

These are simply System and Tarteeb Set by Expert of the field.

Those who are  Spreading these confusion are Simply causing loss to the cause of Dawah and taking burden of all those who are getting Confused with their Propaganda. Only Allah knows Wheather they are doing it Knowingly or Unknowingly.

There are some commandments in Shari’ah in which the method is not stipulated.
For example, it is a commandment of Shariah to acquire knowledge, 
but the manner in which the Madrasas are established today, is not proven through Quran and Hadith. 
Up until the recent past, the scholars used to teach in the masjids of their respective towns and villages.

 The students had to go to different scholars to learn the different sciences. No arrangements of food or boarding were made. 

However, the zeal for knowledge had decreased as time went by, and the scholars felt it necessary to establish the system of Darul Ulooms as is established today. 

Nobody regards such a system to be bid’ah.

The number of days is also not compulsory, it is only recommended just as it is recommended that a person studying first aid, for example, serves one month as practicals. While he will not be an expert in medicine, he will know the basic things to do during an emergency. 

Similarly, a person going out for 3 days, 40 days, 4 months, etc. does not become an expert on Shariáh, but he will learn the basic requirements of Shariáh. 

The more time he gives, the more he will learn and perfect himself. The time frame is not a criteria according to Shariáh. It is not regarded as compulsory in the Shari’ah. 

The time is merely recommended like the time frame for any course in college and university. 

There is no prohibition in Shari’ah to set time frames for learning and training.
Similarly, Shariah has commanded us to do the work of tableegh. This work used to be done on an individual basis. 

The learned people used to preach the others and prevent them from all
vices. As time went on, vice started prevailing, and people had stopped doing the work on an individual basis; therefore, a collective effort had to take place, and rules had to be set up for the work to carry on in order.

Arab Scholar Shaykh Ibn ‘Uthaymeen (may Allaah have mercy on him) said: 

With regard to limiting da’wah to three or four days, or to two or four or six months, or two years, there is no shar’i evidence for that. But they think that this has to do with organization. If a person goes out for three days, and knows that he is limited to these three days, he will focus his mind and forget about worldly matters. This is the matter of organization, and is not an act of worship or a matter of sharee’ah.