For a partially saturated soil deposit at a construction site, water content $(w)$ is $15 \%$, degree of saturation ( S ) is $67 \%$, void ratio ( e ) is 0.6 and specific gravity of solids in the soil $\left(G_s\right)$ is 2.67 . Consider unit weight of water as $9.81 \mathrm{kN} / \mathrm{m}^3$.

To fully saturate $5 \mathrm{~m}^3$ of this soil, the required weight of water (in kN ) will be __________ (round off to the nearest integer).

A clayey soil has a moisture content of $18 \%$, a specific gravity of soil solids of 2.74 , and a degree of saturation of $65 \%$. The soil soaks up water during a rain event, and the degree of saturation increases to $85.2 \%$. The change of the volume during the soaking is negligible. The new moisture content (in \%) of the soil will be _________ (rounded off to 2 decimal places).

Consider the statements P and Q related to the analysis/design of retaining walls.

P: When a rough retaining wall moves toward the backfill, the wall friction force/resistance mobilizes in upward direction along the wall.

Q: Most of the earth pressure theories calculate the earth pressure due to surcharge by neglecting the actual distribution of stresses due to surcharge.

Which one of the following options is CORRECT?

Consider the statements P, Q, and R.

P: Compacted fine-grained soils with flocculated structure have isotropic permeability.

Q: Phreatic surface/line is the line along which the pore water pressure is always maximum.

R: The piping phenomenon occurring below the dam foundation is typically known as blowout piping.

Which of the following option(s) is/are CORRECT?