1
GATE ME 2010
MCQ (Single Correct Answer)
+1
-0.3
A box contains $$2$$ washers, $$3$$ nuts and $$4$$ bolts. Items are drawn from the box at random one at a time without replacement. The probability of drawing $$2$$ washers first followed by $$3$$ nuts and subsequently the $$4$$ bolts is
A
$$2/315$$
B
$$1/630$$
C
$$1/1260$$
D
$$1/2520$$
2
GATE ME 2010
MCQ (Single Correct Answer)
+1
-0.3
The blasius equation $$\,{{{d^3}f} \over {d{\eta ^3}}} + {f \over 2}\,{{{d^2}f} \over {d{\eta ^2}}} = 0\,\,\,\,$$ is a
A
2nd order non-linear ordinary differential equation
B
3rd order non-linear ordinary differential equation
C
3rd order linear ordinary differential equation
D
mixed order non-linear ordinary differential equation
3
GATE ME 2010
MCQ (Single Correct Answer)
+1
-0.3
The Laplace transform of $$f\left( t \right)$$ is $${1 \over {{s^2}\left( {s + 1} \right)}}.$$
The function
A
$$t - 1 + {e^{ - t}}$$
B
$$t + 1 + {e^{ - t}}$$
C
$$ - 1 + {e^{ - t}}$$
D
$$2t + {e^t}$$
4
GATE ME 2010
MCQ (Single Correct Answer)
+2
-0.6
A lightly loaded full journal bearing has a journal of $$50mm,$$ bush bore of $$50.50mm$$ and bush length of $$20mm.$$ if rotational speed of journal is $$1200rpm$$ and average viscosity of liquid lubricant is $$0.03$$ $$Pa$$- $$sec,$$ the power loss (in Watt) will be :
A
$$37$$
B
$$74$$
C
$$118$$
D
$$237$$
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