Civil Engineering - Online Test

Q1. Find the sum of the expression

Answer : Option B
Explaination / Solution:

The expression can be written as 


Q2. For a matrix  the transpose of the matrix is equal to the inverse of the matrix [M]T = [M]-1. The value of x is given by
Answer : Option A
Explaination / Solution:
No Explaination.


Q3. The divergence of the vector field   at a point (1,1,1) is equal to
Answer : Option C
Explaination / Solution:
No Explaination.


Q4. The inverse Laplace transform of 1/(s2 + s) is
Answer : Option C
Explaination / Solution:
No Explaination.


Q5. If three coins are tossed simultaneously, the probability of getting at least one head is
Answer : Option D
Explaination / Solution:
No Explaination.


Q6. An analytic function of a complex variable z = x + iy is expressed as f(z) = u(x, y) +iv(x, y) where i = √-1. If u = xy, the expression of v should be
Answer : Option C
Explaination / Solution:
No Explaination.


Q7. The solution of x(dy/dx) + y = x4 with the condition y(1) = 6/5 is
Answer : Option A
Explaination / Solution:
No Explaination.


Q8. A path AB in the form of one quarter of a circle of unit radius is shown in the figure. Integration of (x + y)2 on path AB traversed in a counter-clockwise sense is

Answer : Option B
Explaination / Solution:
No Explaination.


Q9. The distance between the origin and the point nearest to it on the surface z2 = 1 + xy is
Answer : Option A
Explaination / Solution:
No Explaination.


Q10. The area enclosed between the curves y2 =4x and x2 = 4y is
Answer : Option A
Explaination / Solution:
No Explaination.