Sieve analysis is a technique used in civil engineering to determine the particle size distribution of a granular material. It is an important test that helps in understanding the behavior and characteristics of soils and aggregates. The number of ways in which sieve analysis can be carried out depends on several factors. Let's discuss them in detail below.

1. Number of sieves: The first factor that determines the ways in which sieve analysis can be carried out is the number of sieves used. Sieves are available in various sizes, each having a specific opening size. The more sieves you have, the more combinations you can create for analyzing the particle size distribution.

2. Sieve arrangement: The arrangement of sieves also affects the ways in which sieve analysis can be conducted. The sieves can be stacked in different orders, starting from the finest to the coarsest or vice versa. Each arrangement will yield a different result, providing valuable information about the material being analyzed.

3. Sieving duration: The duration for which the material is sieved also influences the analysis. The longer the sieving duration, the more accurate the results will be. However, the sieving time can vary based on the requirements and standards set by different organizations.

4. Method of sieving: There are different methods of sieving, including dry sieving, wet sieving, and mechanical sieving. Each method has its own advantages and limitations. The choice of method depends on the type of material being analyzed and the desired accuracy of results.

5. Sample preparation: The preparation of the sample before sieving can also impact the analysis. The material may need to be dried, washed, or treated with chemicals to remove impurities or to enhance the accuracy of results. Different sample preparation techniques can be employed, leading to variations in the sieve analysis process.

Considering all these factors, it is evident that there are numerous ways in which sieve analysis can be carried out. The correct answer, therefore, is option 'A' – 5. However, it is important to note that the specific number of ways may vary based on the specific requirements, standards, and procedures followed by different organizations or researchers.