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A given cohesionless soil has $e_{\text{max}} = 0.85$ and $e_{\text{min}} =0.50$. In the field, the soil is compacted to a mass density of $1800 \: kg/m^3$ at a water content of $8 \%$. Take the mass density of water as $1000 \: kg/m^3$ and $G_s$ as $2.7$. The relative density (in $\%$) of the soil is

  1. $56.43$
  2. $60.25$
  3. $62.87$
  4. $65.71$
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