1
GATE PI 2011
MCQ (Single Correct Answer)
+1
-0.3
Which of the following casting processes uses expandable pattern and expandable mold
A
Shell mod casting
B
Investment casting
C
Pressure die casting
D
Centrifugal casting
2
GATE PI 2011
MCQ (Single Correct Answer)
+2
-0.6
If a matrix $$A = \left[ {\matrix{ 2 & 4 \cr 1 & 3 \cr } } \right]$$ and matrix $$B = \left[ {\matrix{ 4 & 6 \cr 5 & 9 \cr } } \right]$$ the transpose of product of these two matrices i.e., $${\left( {AB} \right)^T}$$ is equal to
A
$$\left[ {\matrix{ {28} & {19} \cr {34} & {47} \cr } } \right]$$
B
$$\left[ {\matrix{ {19} & {34} \cr {47} & {28} \cr } } \right]$$
C
$$\left[ {\matrix{ {48} & {33} \cr {28} & {19} \cr } } \right]$$
D
$$\left[ {\matrix{ {28} & {19} \cr {48} & {33} \cr } } \right]$$
3
GATE PI 2011
MCQ (Single Correct Answer)
+2
-0.6
The solution of the differential equation $$\,\,\,{{{d^2}y} \over {d{x^2}}} + 6{{dy} \over {dx}} + 9y = 9x + 6\,\,\,\,$$ with $${C_1}$$ and $${C_2}$$ as constants is
A
$$y = \left( {{C_1}x + {C_2}} \right){e^{ - 3x}}$$
B
$$y = {C_1}\,{e^{3x}} + {C_2}\,{e^{ - 3x}}$$
C
$$y = \left( {{C_1}x + {C_2}} \right){e^{ - 3x}} + x$$
D
$$y = \left( {{C_1}x + {C_2}} \right){e^{3x}} + x$$
4
GATE PI 2011
MCQ (Single Correct Answer)
+2
-0.6
It is estimated that the average number of events during a year is three. What is the probability of occurrence of not more than two events over a two-year duration? Assume that the number of events follow a poisson distribution.
A
$$0.052$$
B
$$0.062$$
C
$$0.072$$
D
$$0.082$$