The correct answer is option 4: 1, 3, and 4 only.

Let`s dissect each option to understand why this is the correct answer:

Option 1 states that the Constituent Assembly was not based on adult franchise. This statement is correct because the Constituent Assembly was not elected through a universal adult suffrage system. It consisted of members who were appointed or elected by indirect methods.

Option 2 states that the Constituent Assembly resulted from a direct election. This statement is incorrect because the Constituent Assembly was not directly elected by the people. The members of the assembly were elected by the members of the Provincial Legislative Assemblies, who were themselves elected indirectly.

Option 3 states that the Constituent Assembly was a multi-part body. This statement is correct because the assembly represented different political parties and regions of India. It was composed of representatives from various communities and interests.

Option 4 states that the Constituent Assembly worked through several committees. This statement is correct because the Constituent Assembly had several committees that were responsible for drafting different sections of the Constitution. These committees worked on various aspects like fundamental rights, citizenship, judiciary, and more.

In conclusion, the correct statements are 1, 3, and 4 only.