GATE 2015
13.
Civil Engineering
The relationship between porosity (η). Specific yield ( ) and specific retention ( ) of an
unconfined aquifer is:
(A)
η
(C)
η
(B)
η
(D)
η
GATE 2015
13.
Relation between specific yield ( ), specific relation ( ) and porosity (n) of aquifer is
(A)
n
(C)
n
(B)
n
(D)
(n
)
CE
GATE 2015
1.
Civil Engineering
In friction circle method of slope stability analysis, if r defines the radius of the slip circle,
the radius of friction circle is:
(A) in
(C)
o
(B)
(D)
n
GATE 2015
15.
The radius of friction circle in case of friction circle method of stability failure is equal to
(A) in
(C)
n
(B) o
(D)
CE
GATE 2015
2.
Civil Engineering
Surcharge loading required to be placed on the horizontal backfill of a smooth retaining
vertical wall so as to completely eliminate tensile crack is:
(A) 2c
(C)
√k
(B)
k
(D) ⁄k
GATE 2015
57.
A man walks 2 km towards North. Then he turns to East and walks 10 km. After this he
turns to North and walks 3 km. Again he turns towards East and walks 2 km. He is _______
km away from the starting point?
CE
GATE 2015
34.
Civil Engineering
The relation between speed u (m km/h) and density k (number of vehicles/km) for a
traffic stream on a road is
k The capacity on this road is _______ vph
(vehicles/hour).
GATE 2015
CE
30.
The speed density relationship on single lane road with unidirectional flow is
k, where v is in km/hr and k is veh/km .Capacity of road (veh/hour) in __________.
46.
For the relationship
k, whe e i he peed in kmph nd ‘K’ i
vehicles/km what is the max flow in vph: ________
he den i y
GATE 2015
4.
Civil Engineering
Choose the most appropriate word from the options given below to complete the following
sentence.
The official answered ________ that the complaints of the citizen would be looked into.
(A) Respectably
(C) Reputably
(B) Respectfully
(D) Respectively
GATE 2015
56.
Direction for Q.56: Chose the most appropriate word from the options below to complete
the following sentence
Policy changes at the Bank of Japan, and more promises to clean up the banks, seem to
have ________ investors that Japan does not, after all, face ________ collapse.
(A) convinced, imminent
(C) persuaded, imminent
(B) persuaded, eminent
(D) influenced, immediate
CE
GATE 2015
44.
Civil Engineering
Two Pegs A and B were fixed on opposite banks of a 50 m wide river. The level was set up
at A and the staff readings on Pegs A and B were observed as 1.350 m and 1.550 m
respectively. Thereafter the instrument was shifted and set up at B. The staff readings on
Pegs B and A were observed as 0.750 m and 0.550 m, respectively. If the R.L. of Peg A is
100.200 m, the R.L. (in m) of Peg B is _________.
GATE 2015
47.
A level when set up at 30 m from peg A and 60 m from peg B reads 3.124 m on staff held
on A and 3.763 m on staff held on B, keeping bubble at its center while reading if the
reduced level of A and B are 262.645 m and 263.715 m respectively. What is the
collimation error per 100.0 m _________ m
CE
GATE 2015
51.
Civil Engineering
Ultimate BOD of a river water sample is 20 mg/l. BOD rate constant (natural log) is
0.15 d y . The respective values of BOD (in %) exerted and remaining after 7 days are:
(A) 45 and 55
(C) 65 and 35
(B) 55 and 45
(D) 75 and 25
GATE 2015
42.
A 5% ew ge mple i
ed in BOD e who’ ini i l DO i 8 mg l Af e 5-day
incubation
C the final DO of sample is 1.2 mg/l. What will be the 7 days BOD in mg/l
if test is conducted at
C (correct to nearest integer)_________ Take K at
d
CE
GATE 2015
8.
Civil Engineering
How m ny fo digi n mbe
n be fo med wi h he
can start with 0 and if repetitions are not allowed?
digi
, , …, 9 if no n mbe
GATE 2015
63.
The number of all four digit numbers, which are divisible by 4, that can be formed from
1,2,3,4 and 5 is __________ (repetition of digits are allowed)
CE
GATE 2015
26.
Civil Engineering
A 4m thick layer of normally consolidated clay has an average void ratio of 1.30. Its
compression index is 0.6 and coefficient of consolidation is m ⁄y . If the increase in
vertical pressure due to foundation load on the clay layer is equal to the existing effective
overburden pressure, the change in the thickness of the clay layer is _________ mm
GATE 2015
37.
A clay stratum 6m thick has the initial void ratio of 1.50 and the effective over burden
pressure of
k ⁄m . When the sample is subjected to an increase in pressure of
⁄
k m , the void ratio reduces to 1.42. The final settlement is _______mm (In full digit)
CE
GATE 2015
5.
Let A
(A) 0
(B) 1
Civil Engineering
[
],
i, j
n wi h n
nd
i j The rank of A is:
(C) n
(D) n
GATE 2015
27.
Let A
[
],
i
j
n with n
i . Then the rank of A is _______
CE
GATE 2015
49.
Civil Engineering
A 6 m high retaining wall having a smooth vertical back face retains a layered horizontal
backfill. Top 3 m thick layer of the backfill is sand having an angle of internal friction,
while the bottom layer is 3 m thick clay with cohesion, c = 20 kPa. Assume unit
weight for both sand and clay as 18 k ⁄m . The total active earth pressure per unit length
of the wall (in kN/m) is:
(A) 150
(C) 156
(B) 216
(D) 196
GATE 2015
38.
A retaining wall 10 m high with a smooth vertical back, retains a clay backfill with
C
8 k ⁄m ,
and
k ⁄m .
Total active thrust on the wall assuming that tension crack may develop to the full
theoretical depth:
(A) 224 kN/m
(C) 172 kN/m
(B) 204 kN/m
(D) 158 kN/m
CE
GATE 2015
17.
Civil Engineering
In Newton-Raphson iterative method, the initial guess value (
while finding the roots of the equation: ( )
to be added to
in the first iteration is _______.
) is considered as zero
5 . The correction, ,
GATE 2015
26.
Using N- ( ew on’
ph on’ ) me hod, find he fi
pp oxim ion of he f n ion
f(x) xe
upto places of decimals with x
,
(A) 0.5678
(C) 0.4366
(B) 0.8679
(D) 0.4633
CE
GATE 2015
47.
Civil Engineering
Consider the following second order linear differential equation
d y
x
x
dx
The boundary conditions are: at x = 0, y = 5 and at x = 2, y = 21
The value of y at x = 1 is __________.
GATE 2015
30.
The solution of the differential equation
when x =1 is ____________
(A) xy x
(B) xy y
CE
x under the condition that y =1,
(C) xy
(D) xy
x
y