CE GATE 2009 - Online Test
Q1. A square matrix B is skew-symmetric if
Answer : Option A
Explaination / Solution:
No Explaination.
Q2. 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.
Q3. The analytic function 
has singularity at
has singularity at
Answer : Option D
Explaination / Solution:
No Explaination.
Q4. 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.
Q5. 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.
Q6. Solution of the differential equation 3y(dy/dx) + 2x = 0 represents a family of
Answer : Option A
Explaination / Solution:
No Explaination.
Q7. Laplace transform for the function f(x) = cosh(ax) is
Answer : Option A
Explaination / Solution:
No Explaination.
Q8. In the solution of the following set of linear equations by Gauss elimination using
partial pivoting 5x + y + 2z = 34; ay - 3z = 12; and 10 - 2y + z = -4; the pivots
for elimination of x and y are
Answer : Option A
Explaination / Solution:
No Explaination.
Q9. The standard normal probability function can be approximated as
where xN = standard normal deviate. If mean and standard deviation of annual
precipitation are 102 cm and 27 cm respectively, the probability that the annual
precipitation will be between 90 cm and 102 cm is
Answer : Option B
Explaination / Solution:
No Explaination.
Q10. Match List-I (List of test methods for evaluating properties of concrete) with
List-II (List of properties) and select the correct answer using the codes given
below the lists :
List-I List-II
a. Resonant frequency test 1. Tensile strength
b. Rebound hammer test 2. Dynamic modulus of elasticity
c. Split cylinder test 3. Workability
d. Compacting factor test 4. Compressive strength
Codes:
Answer : Option A
Explaination / Solution:
No Explaination.
