Q$1[$Sieve analysis and soil classification$].$ The following results are obtained from a sieve analysis tests performed for a commercial building project. Plot the particle size distribution curve along with the ASTM classification chart imposed on the top using a semi logarithmic plot. Find the following:

a$)$ Uniformity coefficient $C_u$

b$)$ Coefficient of curvature $C_c$

c$)$ D$10,$ D$50,$ D$30$ and D$60$

d$)$ Classify the soil according to ASTM using an appropriate flowchart. Use the plasticity chart to classify the fines with LL and PL given in Table $2.$

e$)$ Find the correct proportion in percentage $(\%)$ of all soil types present in the mix.

Table $1$ Sieve analysis results

Table $2$ Atterberg limit tests