Read the following statements :

(P) While designing a shallow footing in sandy soil, monsoon season is considered for critical design in terms of bearing capacity.

(Q) For slope stability of an earthen dam, sudden drawdown is never a critical condition.

(R) In a sandy sea beach, quicksand condition can arise only if the critical hydraulic gradient exceeds the existing hydraulic gradient.

(S) The active earth thrust on a rigid retaining wall supporting homogenous cohesionless backfill will reduce with the lowering of water table in the backfill.

Which one of the following combinations is correct?

The inside diameter of a sampler tube is 50 mm. The inside diameter of the cutting edge is kept such that the Inside Clearance Ratio (ICR) is 1.0% to minimize the friction on the sample as the sampler tube enters into the soil. The inside diameter (in mm) of the cutting edge is _________. (round off to two decimal places)

A group of total 16 piles are arranged in a square grid format. The center-to-center spacing (s) between adjacent piles is 3 m. The diameter (d) and length of embedment of each pile are 1 m and 20 m, respectively. The design capacity of each pile is 1000 kN in the vertical downward direction. The pile group efficiency $${\eta _g}$$ is given by

$${\eta _g} = 1 - {\theta \over {90}}\left[ {{{(n - 1)m + (m - 1)n} \over {mn}}} \right]$$

where m and n are number of rows and columns in the plan grid of pile arrangement and $$\theta = {\tan ^{ - 1}}\left( {{d \over s}} \right)$$.

The design value of the pile group capacity (in kN) in the vertical downward direction is _________. (round off to the nearest integer)

In a triaxial unconsolidated undrained (UU) test on a saturated clay sample, the cell pressure was 100 kPa. If the deviatoric stress at failure was 150 kPa, then the undrained shear strength of the soil is _________ kPa. (in integer)