1
GATE EE 2017 Set 2
+1
-0.3
An urn contains $$5$$ red balls and $$5$$ black balls. In the first draw, one ball is picked at random and discarded without noticing its colour. The probability to get a red ball in the second draw is
A
$${1 \over 2}$$
B
$${4 \over 9}$$
C
$${5 \over 9}$$
D
$${6 \over 9}$$
2
GATE EE 2017 Set 2
Numerical
+1
-0
Assume that in a traffic junction, the cycle of the traffic signal lights is $$2$$ minutes of green (vehicle does not stop) and $$3$$ minutes of red (vehicle stops). Consider that the arrival time of vehicles at the junction is uniformly distributed over $$5$$ minute cycle. The expected waiting time (in minutes) for the vehicle at the junction is _________.
3
GATE EE 2017 Set 2
+2
-0.6
The value of the contour integral in the complex - plane $$\oint {{{{z^3} - 2z + 3} \over {z - 2}}} dz$$ along the contour $$\left| z \right| = 3,$$ taken counter-clockwise is
A
$$- 18\,\pi i$$
B
$$0$$
C
$$14$$ $$\pi i$$
D
$$48\,\pi i$$
4
GATE EE 2017 Set 2
+1
-0.3
A phase-controlled, single-phase, full-bridge converter is fed from a $$230$$ $$V,$$ $$50$$ $$Hz,$$ $$AC$$ source. The fundamental frequency in $$Hz$$ of the voltage ripple on the $$DC$$ side is
A
$$25$$
B
$$50$$
C
$$100$$
D
$$300$$
GATE EE Papers
2023
2022
2021
2020
2019
2018
2017
2016
2015
2014
2013
2012
2011
2010
2009
2008
2007
2006
2005
2004
2003
2002
2001
2000
1999
1998
1997
1996
1995
1994
1993
1992
1991
EXAM MAP
Joint Entrance Examination