1
GATE ME 2009
MCQ (Single Correct Answer)
+2
-0.6
The divergence of the vector field $$\,3xz\widehat i + 2xy\widehat j - y{z^2}\widehat k$$ at a point $$(1,1,1)$$ is equal to
A
$$7$$
B
$$4$$
C
$$3$$
D
$$0$$
2
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
$$7/8$$
3
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
$${7 \over {\sqrt {12} }}$$
4
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
$$y = {{{x^5}} \over 5} + 1$$
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