1
GATE ME 2009
MCQ (Single Correct Answer)
+1
-0.3
If three coins are tossed simultaneously, the probability of getting at least one head is
A
$$1/8$$
B
$$3/8$$
C
$$1/2$$
D
$$7/8$$
2
GATE ME 2009
MCQ (Single Correct Answer)
+1
-0.3
The standard deviation of a uniformly distributed random variable $$b/w$$ $$0$$ and $$1$$ is
A
$${1 \over {\sqrt {12} }}$$
B
$${1 \over {\sqrt {3} }}$$
C
$${5 \over {\sqrt {12} }}$$
D
$${7 \over {\sqrt {12} }}$$
3
GATE ME 2009
MCQ (Single Correct Answer)
+1
-0.3
The solution of $$x{{dy} \over {dx}} + y = {x^4}$$ with condition $$y\left( 1 \right) = {6 \over 5}$$
A
$$y = {{{x^4}} \over 5} + {1 \over x}$$
B
$$y = {{4{x^4}} \over 5} + {4 \over {5x}}$$
C
$$y = {{{x^4}} \over 5} + 1$$
D
$$y = {{{x^5}} \over 5} + 1$$
4
GATE ME 2009
MCQ (Single Correct Answer)
+1
-0.3
The inverse Laplace transform of $${1 \over {\left( {{s^2} + s} \right)}}$$ is
A
$$1 + {e^t}$$
B
$$1 - {e^t}$$
C
$$1 - {e^{ - t}}$$
D
$$1 + {e^{ - t}}$$
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