1
GATE ME 2015 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The chance of a student passing an exam is $$20$$% The chance of a student passing the exam and getting above $$90$$% marks in it is $$5$$%. Given that a student passes the examination, the probability that the student gets above $$90$$% marks is
A
$${1 \over {18}}$$
B
$${1 \over {4}}$$
C
$${2 \over {9}}$$
D
$${5 \over {18}}$$
2
GATE ME 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Consider the following differential equation $${{dy} \over {dt}} = - 5y;$$ initial condition: $$y=2$$ at $$t=0.$$
The value of $$y$$ at $$t=3$$ is
A
$$ - 5{e^{ - 10}}$$
B
$$2{e^{ - 10}}$$
C
$$2{e^{ - 15}}$$
D
$$ - 15{e^2}$$
3
GATE ME 2015 Set 2
Numerical
+2
-0
The values of function $$(x)$$ at $$5$$ discrete points are given below: GATE ME 2015 Set 2 Engineering Mathematics - Numerical Methods Question 25 English

Using Trapezodial rule with step size of $$0.1,$$ the value of $$\,\int\limits_0^{0.4} {f\left( x \right)\,dx\,\,} $$ is __________.

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4
GATE ME 2015 Set 2
Numerical
+2
-0
The initial velocity of an object is $$40$$ $$m/s.$$ The acceleration a of the object is given by the following expression: a$$=-0.1v$$
Where v is the instantaneous velocity of the object. The velocity of the object after $$3$$ seconds will be _______
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