Step 1: Identify stress states at the three locations.
Location I (near slope face/toe): The soil mass close to the free face tends to unload laterally and undergoes a reduction in minor principal stress, producing a tensile/extension stress path. Hence, behaviour is best captured by a triaxial extension test. $\Rightarrow$ I $\rightarrow$ Q.
Location II (along potential failure plane): This is the sliding interface. The shear strength mobilized along such a plane (including large-displacement/residual behaviour if needed) is most directly measured in a direct shear (shear box) test. $\Rightarrow$ II $\rightarrow$ R.
Location III (deeper beneath crest): Soil is under higher confining pressure and predominantly compressive stress state. Strength and dilation are appropriately assessed using a triaxial compression test. $\Rightarrow$ III $\rightarrow$ P.
Step 2: Match with options.
Mapping I--Q, II--R, III--P corresponds to option (A).
\[
\boxed{\text{I--Q,\; II--R,\; III--P}}
\]
The results of a consolidated drained triaxial test on a normally consolidated clay are shown in the figure. The angle of internal friction is

Two soils of permeabilities \( k_1 \) and \( k_2 \) are placed in a horizontal flow apparatus, as shown in the figure. For Soil 1, \( L_1 = 50 \, {cm} \), and \( k_1 = 0.055 \, {cm/s} \); for Soil 2, \( L_2 = 30 \, {cm} \), and \( k_2 = 0.035 \, {cm/s} \). The cross-sectional area of the horizontal pipe is 100 cm², and the head difference (\( \Delta h \)) is 150 cm. The discharge (in cm³/s) through the soils is ........ (rounded off to 2 decimal places).

The most suitable test for measuring the permeability of clayey soils in the laboratory is ___________.
Consider the beam ACDEB given in the figure. Which of the following statements is/are correct:

The figures, I, II, and III are parts of a sequence. Which one of the following options comes next in the sequence as IV?
