CE GATE 2013 - Online Test
Q1. Storm-I of duration 5 hours gives a direct run-off of 4 cm and has an average
intensity of 2cm / hr
Storm-II of 8 hour duration gives a run-off of 8.4 cm.
(Assume φ -index is same for both the storms.)
The value of φ − index is
Answer : Option A
Explaination / Solution:
φ - index = (2×5-4)/5 = (10-4)/5 = 6/5 = 1.2 cm/hr
Q2. Storm-I of duration 5 hours gives a direct run-off of 4 cm and has an average
intensity of 2cm / hr
Storm-II of 8 hour duration gives a run-off of 8.4 cm.
(Assume φ -index is same for both the storms.)
Intensity of storm-II in cm/hr is
Answer : Option D
Explaination / Solution:
Let intensity of storm-II be P cm/hr 1.2 = (P×8-8.4)/8 ⇒ 1.2 × 8 +8.4 = P×8 ⇒ P = 2.25 cm/hr
Q3. Two soil profile are used as backfill behind a retaining wall as shown in the figure,
where γt is total unit weight and c’ & φ' ‘ are effective shear parameters. Find the
resultant active earth pressure in kN/m
Answer : Option A
Explaination / Solution:
Q4. The soil profile above the rock surface at 25o infinite slope is shown in figure
where Su is undrain shear stress and γt is total unit weight. The slip will occur at
a depth of 
Answer : Option A
Explaination / Solution:
The slip will occur when shear stress is greater than or equal to shear strength
Q5. For subcritical flow in an open channel, the control section for gradually varied
flow profile is
Answer : Option A
Explaination / Solution:
No Explaination.
Q6. A multistorey building with a basement is to be constructed. The top 4 m contains loose silt below which dense sand layer is present upto a great depth. Ground water table is at the ground surface. The foundation consists of the basement slab of 6 m width which will rest on the top of dense sand as shown in figure. For dense sand saturated unit weight is 3 20kN / m3 and bearing capacity factor, Nq = 40, Nγ = 45, for loose silt saturated unit weight = 18kN / m3 , Nq = 15, Nγ = 20 . Effective cohesion is 0. Neglect depth factor average elastic modulus E, and Poisson ratio µ of dense sand is 60 ×102 kN / m2 and 0.3 respectively, using factor of safety = 3. (Take influence factor = 2)
The immediate settlement of foundation is
Answer : Option B
Explaination / Solution:
Si = 552.48 × 6 × [1-(0.3)2]×2/(60×103) = 100.55 mm
Q7. Group-I contains dimensionless parameter and Group-II contains ratio
Correct match of the dimensionless parameter in Group-I with Group-II is
Answer : Option C
Explaination / Solution:
No Explaination.
Q8. For a 2-D flow field, the stream function ψ is given as ψ = 3/2(y2 - x2). The magnitude of discharge occurring between the stream line passing through
points (0, 3) and (3, 4) is
Answer : Option B
Explaination / Solution:
Q = ψ1 − ψ2 = 3/2(9-0) - 3/2(16-9) = 3 units
Q9. The ratio Nf / Nd is known as shape-factor where Nf is the number of flow
channels and Nd is the equipotential drop. The flownet always drawn with a
constant b/ a ratio where b and a are distance between two consecutive flow lines
and equipotential lines respectively. Assuming that b/a ratio remains same, the
shape factor of a flow net will change if the
Answer : Option B
Explaination / Solution:
No Explaination.
Q10. In a setting chamber, what is the minimum dimension of particle which can be
completely removed, if rate of overflow is 30m3 / d / m2 . Take G = 2.65; µ = 1×10-5 Ns /m2
Answer : Option B
Explaination / Solution:
