Solution :
1. PL
![$= (11.53 - 10.49)/(10.49 - 4.5) * 100$](https://img.qammunity.org/2022/formulas/engineering/college/gxc3qcalnwi4d789wn0k7l2lp5n5otuop9.png)
= 17.36 %
2. Liquid limit at 25 number of blows,
![$LL = ((26-25)* 49.8 + (25 - 2.17) * 47.5)/(26-17)$](https://img.qammunity.org/2022/formulas/engineering/college/dc6zs3dnab0dbq71o4z80tuqcjvzer3grt.png)
%
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
%
Equation of A-line
![$= 0.73 * [47.75 - 20]$](https://img.qammunity.org/2022/formulas/engineering/college/ypp0wh388v9z2pcvxs9panc27fqdw96280.png)
%
Thus the soil lies above the A-line, that is soil is medium compressible clay ---- CI