Civil Engineering - Online Test
Q1. Solution of dy/dx = -x/y at x = 1 and y = √3 is
Answer : Option D
Explaination / Solution:
No Explaination.
Q2. The solution of the differential equation 
with the condition that y = 1 at x = 1, is
with the condition that y = 1 at x = 1, is
Answer : Option D
Explaination / Solution:
No Explaination.
Q3. If probability density function of random variable X is
f(x) = x2 for -1 ≤ x ≤ 1, and
= 0 for any other value of x
then, the percentage probability P(-1/3 ≤ x ≤ 1/3)
Answer : Option B
Explaination / Solution:
No Explaination.
Q4. The Eigen values of the matrix 
are
are
Answer : Option B
Explaination / Solution:
No Explaination.
Q5. The following simultaneous equations x + y + z = 3, x + 2y + 3z = 4, and x + 4y + kz = 6 will NOT have a unique solution for k equal to
Answer : Option D
Explaination / Solution:
No Explaination.
Q6. The inner (dot) product of two vectors 
and 
is zero. The angle (degrees)
between the two vectors is
and is zero. The angle (degrees)
between the two vectors is
Answer : Option C
Explaination / Solution:
No Explaination.
Q7. If Log(P) = (1/2)Log(Q) = (1/3)Log(R), then which of the following options is
TRUE?
Answer : Option B
Explaination / Solution:
No Explaination.
Q8. The probability that k number of vehicles arrive (i.e. cross a predefined line) in
time t is given as 
where λ is the average vehicle arrival rate. What
is the probability that the time headway is greater than or equal to time t1?
where λ is the average vehicle arrival rate. What
is the probability that the time headway is greater than or equal to time t1?
Answer : Option D
Explaination / Solution:
No Explaination.
Q9. For an analytic function, f(x + iy) = u(x,y) + iv(x,y), u is given by u = 3x2 - 3y2. The expression for v , considering K to be a constant is
Answer : Option D
Explaination / Solution:
No Explaination.
Q10. The partial differential equation 
is a
is a
Answer : Option D
Explaination / Solution:
No Explaination.
