Which of the following statements about the discovery and properties of nylon as a fully synthetic fibre are correct?

Introduction / Context:
Nylon is one of the earliest and most important synthetic fibres used in textiles, ropes, engineering plastics, and many other products. School level science books highlight how nylon was first prepared, why it is called a fully synthetic fibre, and what special physical properties it has. This question asks you to judge the correctness of three statements about nylon and then choose the correct combination.

Given Data / Assumptions:
- Statement I says that in the early nineteen thirties nylon was prepared from coal, water, and air.
- Statement II says that nylon was the first fully synthetic fibre.
- Statement III says that nylon fibre is strong, elastic, and light.
- The options provide different combinations of these three statements.

Concept / Approach:
To answer such combination questions, you must evaluate each statement one by one. Nylon was indeed developed in the nineteen thirties from small chemical molecules derived from coal, water, and air, rather than from any natural fibre source. It is often introduced in school texts as the first fully synthetic fibre. In addition, nylon is known for its high tensile strength, elasticity, light weight, and resistance to abrasion. If all three statements agree with standard textbook facts, then the option indicating that all are correct must be chosen.

Step-by-Step Solution:
Step 1: Confirm Statement I. Early nylon production used chemical raw materials obtained from coal, water, and air. So Statement I is correct.
Step 2: Check Statement II. Nylon is usually described as the first fully synthetic fibre because it is made entirely from petrochemical based small molecules with no natural fibre component. Therefore Statement II is correct.
Step 3: Examine Statement III. Nylon is widely used in climbing ropes, parachutes, and sports gear because it is strong, elastic, light, and reasonably durable. Hence Statement III is also correct.
Step 4: Since Statements I, II, and III are all correct, we select the option that includes all three.

Verification / Alternative check:
An alternative check is to think about the uses of nylon. If it were not strong and elastic, it would not be chosen for ropes and parachutes. Its origin from coal, water, and air is a standard textbook phrase meant to emphasise that it is fully synthetic. Together, these checks support the conclusion that none of the statements are false or misleading.

Why Other Options Are Wrong:
Option a is wrong because it omits the correct Statement III.
Option b is wrong because it ignores the correctness of Statement II which identifies nylon as the first fully synthetic fibre.
Option c is wrong as it leaves out Statement I even though the early production of nylon from coal, water, and air is factually correct.
Option e is wrong because it suggests that only Statement I is correct and rejects the other two true statements.

Common Pitfalls:
Learners sometimes confuse nylon with later synthetic fibres such as polyester and may think that nylon was not the first fully synthetic fibre. Another common mistake is to believe that synthetic fibres must be heavier than natural fibres, so they doubt the description of nylon as light. Carefully reading school level materials on synthetic fibres helps avoid these errors.

Final Answer:
The correct combination is All I, II and III.