Solution :
1. PL [tex]$= \frac{11.53 - 10.49}{10.49 - 4.5} \times 100$[/tex]
= 17.36 %
2. Liquid limit at 25 number of blows,
[tex]$LL = \frac{(26-25)\times 49.8 + (25 - 2.17) \times 47.5}{26-17}$[/tex]
[tex]$= 47.75 $[/tex] %
Since 84 % of the passes the number 200 sieve the soil is immediately fine grained and MI, OI or CI because LL = 47.75 % > 35%
Therefore, the Plasticity index, PI [tex]$=47.75 - 17.36 = 30.39$[/tex] %
Equation of A-line [tex]$= 0.73 \times [47.75 - 20]$[/tex]
[tex]$=20.25 $[/tex] %
Thus the soil lies above the A-line, that is soil is medium compressible clay ---- CI