Civil Engineering - Online Test
Q1. The partial differential equation that can be formed from z = ax + by + ab has
the form 
Answer : Option C
Explaination / Solution:
No Explaination.
Q2. Given a function f(x,y) = 4x2 + 6y2 - 8x - 4y + 8. The optimal value of f(x,y)
Answer : Option A
Explaination / Solution:
No Explaination.
Q3. The probability that k number of vehicles arrive (i.e. cross a predefined line) in time t is given as 
where 
is the average vehicle arrival rate. What is the probability that the time headway is greater than or equal to time t1?
where 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.
Q4. What should be the value of 
such that the function defined below is continuous at x=
?
such that the function defined below is continuous at x=?
Answer : Option C
Explaination / Solution:
No Explaination.
Q5. A square matrix B is skew-symmetric if
Answer : Option A
Explaination / Solution:
No Explaination.
Q6. For a scalar function f(x,y,z) = x2 + 3y2 + 2z2, the gradient at the point P(1,2, -1) is
Answer : Option B
Explaination / Solution:
No Explaination.
Q7. The analytic function 
has singularity at
has singularity at
Answer : Option D
Explaination / Solution:
No Explaination.
Q8. For a scalar function f(x,y,z) = x + 3y + 2z, the directional derivative at the
point P(1, 2, -1) in the direction of a vector 
is
is
Answer : Option B
Explaination / Solution:
No Explaination.
Q9. The value of the integral 
( where C is a closed curve given
by |z| = 1) is
( where C is a closed curve given
by |z| = 1) is
Answer : Option C
Explaination / Solution:
No Explaination.
Q10. Solution of the differential equation 3y(dy/dx) + 2x = 0 represents a family of
Answer : Option A
Explaination / Solution:
No Explaination.
