SSC CGL Tier I - 09 September 2024 - Shift 1
100 questions · 60 minutes · 4 subjects
SSC · Soil Mechanics and Foundations practice
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English SSC CGL Tier I papers. Free 60-minute mocks, 100 questions, 200 marks; +2 correct and −0.5 incorrect. Source: SSC response sheets preserved by SSC Portal. The marked archived keys have not been independently revalidated against final SSC keys; worked explanations are pending review. A/B/C/D correspond to source options 1/2/3/4.
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The porosity n and void ratio e of a soil are related by
Answer and explanation
Correct answer: A
Void ratio e = Vv/Vs and porosity n = Vv/V = Vv/(Vs + Vv) = e/(1 + e).
The liquid limit of soil in the Casagrande apparatus is the water content at which the groove closes after
Answer and explanation
Correct answer: D
By definition the liquid limit corresponds to the closure of the standard groove over 12 mm in 25 blows.
A soil has a liquid limit of 45 percent and a plastic limit of 25 percent. Its plasticity index is
Answer and explanation
Correct answer: A
Plasticity index = LL − PL = 45 − 25 = 20 percent.
Terzaghi’s principle of effective stress states that
Answer and explanation
Correct answer: A
The effective (intergranular) stress equals the total stress minus the pore water pressure. Only effective stress controls strength and compression.
According to Darcy’s law, the velocity of flow of water through soil is proportional to
Answer and explanation
Correct answer: D
Darcy’s law is v = k i, valid for laminar flow, where k is the coefficient of permeability.
The mass of the rammer used in the IS light compaction (standard Proctor) test is
Answer and explanation
Correct answer: A
The light compaction test uses a 2.6 kg rammer with a 310 mm drop in a 1000 cc mould. The heavy compaction test uses a 4.9 kg rammer with a 450 mm drop.
In Terzaghi’s bearing capacity equation for a strip footing, the term 0.5γBNγ accounts for
Answer and explanation
Correct answer: D
cNc is the cohesion term, γDfNq is the surcharge term and 0.5γBNγ is the contribution of soil weight within the failure wedge (size effect).
The critical hydraulic gradient at which quicksand condition occurs in cohesionless soils is approximately
Answer and explanation
Correct answer: D
ic = (G − 1)/(1 + e). For G ≈ 2.65 and e ≈ 0.65 this is about 1.
A wet soil sample weighs 200 g and after oven drying weighs 180 g. The water content is
Answer and explanation
Correct answer: D
Water content is the mass of water over the dry mass: (200 − 180)/180 = 0.111 = 11.1 percent.
A soil has a bulk unit weight of 19 kN/m³ and a water content of 20 percent. The dry unit weight is
Answer and explanation
Correct answer: A
γd = γ/(1 + w) = 19 / 1.2 = 15.83 kN/m³.
A saturated soil has a water content of 20 percent and a specific gravity of solids of 2.7. The void ratio is
Answer and explanation
Correct answer: D
From S e = w G with S = 1: e = 0.20 × 2.7 = 0.54.
According to Terzaghi’s theory of one-dimensional consolidation, the time required for a given degree of consolidation is proportional to
Answer and explanation
Correct answer: D
Tv = cv t / H², so for the same Tv the time varies as H². Doubling the drainage path increases the time four times.
A sand has c = 0 and φ = 30°. Under a normal stress of 100 kPa, its shear strength is about
Answer and explanation
Correct answer: C
τ = c + σ tan φ = 0 + 100 × tan 30° = 57.7 kPa.
For a cohesionless backfill with φ = 30°, Rankine’s coefficient of active earth pressure is
Answer and explanation
Correct answer: D
Ka = (1 − sin φ)/(1 + sin φ) = (1 − 0.5)/(1 + 0.5) = 1/3.
A pile that transfers most of its load to the soil through the shear resistance along its surface is called
Answer and explanation
Correct answer: D
Friction piles are driven into soils like soft clay where no hard stratum is available. End bearing piles rest on hard rock or dense soil.
In the Indian Standard soil classification system, the group symbol CH stands for
Answer and explanation
Correct answer: D
The first letter gives the main type (C = clay) and the second gives the plasticity (H = high, with liquid limit above 50).
A soil has LL = 40, PL = 25 and a natural water content of 35 percent. Its liquidity index is
Answer and explanation
Correct answer: B
LI = (w − PL)/PI = (35 − 25)/15 = 0.67.
A soil has LL = 30, PL = 18 and a natural water content of 25 percent. Its liquidity index is
Answer and explanation
Correct answer: A
LI = (w − PL)/PI = (25 − 18)/12 = 0.58.
A dry cohesionless soil slope with φ = 38° is inclined at 15° to the horizontal. The factor of safety against sliding (infinite slope) is about
Answer and explanation
Correct answer: D
FS = tanφ / tanβ = tan 38° / tan 15° = 2.92.
The unconfined compressive strength of a clay is 40 kPa in the undisturbed state and 8 kPa when remoulded. Its sensitivity is
Answer and explanation
Correct answer: A
St = 40/8 = 5.
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