A possible slope failure is shown in the figure. Three soil samples are taken from different locations (I, II and III) of the potential failure plane. Which is the most appropriate shear strength test for each sample to identify the failure mechanism?
P: Triaxial compression test
Q: Triaxial extension test
R: Direct shear (shear box) test
S: Vane shear test

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

A drained direct shear test was carried out on a sandy soil. Under a normal stress of 50 kPa, the test specimen failed at a shear stress of 35 kPa. The angle of internal friction of the sample is
Consider a five-digit number PQRST that has distinct digits P, Q, R, S, and T, and satisfies the following conditions:
1. \( P<Q \)
2. \( S>P>T \)
3. \( R<T \)
If integers 1 through 5 are used to construct such a number, the value of P is:



