Civil Engineering - Online Test
Q1. A stable channel is to be designed for a discharged of Q m3 /s with silt factor f as
per Lacey’s method. The mean flow velocity (m/s) in the channel is obtained by
Answer : Option A
Explaination / Solution:
No Explaination.
Q2. A three hinged parabolic arch having a span of m25 and a rise of m5 carries a
point load of 10 kN at quarter span from the left end as shown in the figure. The
resultant reaction at the left support and its inclination with the horizontal are
respectively
Answer : Option A
Explaination / Solution:
No Explaination.
Q3. If the semi-circular control D of radius 2 is as shown in the figure, then the
value of the integral 
is
is
Answer : Option A
Explaination / Solution:
Q4. A 5-point sequence x n is given as x - 3 = 1, x - = 1, x - 1 = , x = 5 and x 1 = 1. Let X(ei𝜔) denoted the discrete-time Fourier transform of x n.
The value of 
is
is
Answer : Option B
Explaination / Solution:
Q5. The base width of an elementary profile of a gravity dam of height H is b. The
specific gravity of the material of the dam is G and uplift pressure coefficient is
K. The correct relationship for no tension at the heel is given by
Answer : Option A
Explaination / Solution:
No Explaination.
Q6. The vertical stress at ppoint P1 due to the point load Q on the ground surface as
shown in figure is σz. According to Boussinesq’s equation, the vertical stress at
point P2 shown in figure will be
Answer : Option D
Explaination / Solution:
No Explaination.
Q7. An input to a 6-level quantizer has the probability density function f(x) as shown
in the figure. Decision boundaries of the quantizer are chosen so as to maximize the
entropy of the quantizer output. It is given that 3 consecutive decision boundaries
are' −1'. '0 ' and '1'.
The values of a and b are
Answer : Option A
Explaination / Solution:
Area under the pdf curve must be unity
2a + 4a + 4b = 1
2a + 8b = 1.................................................(1)
For maximum entropy three region must by equivaprobable thus
2a = 4b = 4b...............................................(2)
From (1) and (2) we get
b = 1/12 and a = 1/6
Q8. Water emerges from an ogee spilway with velocity = 13.72 m/s and depth = 0.3
m at it toe. The tail water depth required to form a hydraulic jump at the toe is
Answer : Option C
Explaination / Solution:
No Explaination.
Q9. The ultimate load capacity of a m10 long concrete pile of square cross section
500 × 500 mm driven into a homogeneous clay layer having undrained cohesion
value of 40 kPa is 700 kN. If the cross section of the pile is reduced to 250 × 2500 mm
and the length of the pile is increased to m20 , the ultimate load capacity will be
Answer : Option B
Explaination / Solution:
No Explaination.
Q10. All the four entries of the 2 × 2 matrix 
are nonzero, and one of its
eigenvalue is zero. Which of the following statements is true?
are nonzero, and one of its
eigenvalue is zero. Which of the following statements is true?
Answer : Option C
Explaination / Solution:
The product of Eigen value is equal to the determinant of the matrix. Since one
of the Eigen value is zero, the product of Eigen value is zero, thus determinant
of the matrix is zero.
