1
GATE PI 2009
MCQ (Single Correct Answer)
+2
-0.6
A solid cylinder of diameter $$D$$ and height equal to $$D,$$ and a solid cube of side $$L$$ are being sand cast by using the same material. Assuming there is no super-heat in both the cases, the ratio of solidification times of the cylinder to the solidification time of the cube is
A
$${\left( {L/D} \right)^2}$$
B
$${\left( {2L/D} \right)^2}$$
C
$${\left( {2D/L} \right)^2}$$
D
$${\left( {D/L} \right)^2}$$
2
GATE PI 2009
MCQ (Single Correct Answer)
+1
-0.3
The value of the determinant $$\left| {\matrix{ 1 & 3 & 2 \cr 4 & 1 & 1 \cr 2 & 1 & 3 \cr } } \right|$$ is
A
$$-28$$
B
$$-24$$
C
$$32$$
D
$$36$$
3
GATE PI 2009
MCQ (Single Correct Answer)
+2
-0.6
The value of $${x_3}$$ obtained by solving the following system of linear equations is $${x_1} + 2{x_2} - 2{x_3} = 4$$$$$2{x_1} + {x_2} + {x_3} = - 2$$$ $$- {x_1} + {x_2} - {x_3} = 2$$\$
A
$$-12$$
B
$$-2$$
C
$$0$$
D
$$12$$
4
GATE PI 2009
MCQ (Single Correct Answer)
+1
-0.3
The total derivative of the function $$'xy'$$ is
A
$$x$$ $$dy+y$$ $$dx$$
B
$$x$$ $$dx+y$$ $$dy$$
C
$$dx+dy$$
D
$$dx$$ $$dy$$
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