1
GATE EE 2009
+1
-0.3
Assume for simplicity that $$N$$ people, all born in April (a month of $$30$$ days) are collected in a room, consider the event of at least two people in the room being born on the same date of the month (even if in different years e.g. $$1980$$ and $$1985$$). What is the smallest $$N$$ so that the probability of this exceeds $$0.5$$ is ?
A
$$20$$
B
$$7$$
C
$$15$$
D
$$16$$
2
GATE EE 2009
+1
-0.3
Let $$\,{x^2} - 117 = 0.\,\,$$ The iterative steps for the solution using Newton -Raphson's method is given by
A
$${x_{k + 1}} = {1 \over 2}\left( {{x_k} + {{117} \over {{x_k}}}} \right)$$
B
$${x_{k + 1}} = {x_k} - {{117} \over {{x_k}}}$$
C
$${x_{k + 1}} = {x_k} - {{{x_k}} \over {117}}$$
D
$${x_{k + 1}} = {x_k} - {1 \over 2}\left( {{x_k} + {{117} \over {{x_k}}}} \right)$$
3
GATE EE 2009
+1
-0.3
An $$SCR$$ is considered to be a semi - controlled device because
A
it can be turned OFF but not ON with a gate pulse
B
it conducts only during one half - cycle of an alternating current wave
C
It can be turned ON but not OFF with a gate pulse
D
it can be turned ON only during one half - cycle of an alternating voltage wave
4
GATE EE 2009
+2
-0.6
Match the switch arrangements on the top row to be steady $$-$$ state $$V$$ - $$I$$ characteristics on the lower row. The steady state operating points are shown by large black dots.
A
$$A - i,\,\,B - ii,\,\,C - iii,\,\,D - iv$$
B
$$A - ii,\,\,B - iv,\,\,C - i,\,\,D - iii$$
C
$$A - iv,\,\,B - iii,\,\,C - i,\,\,D - ii$$
D
$$A - iv,\,\,B - iii,\,\,C - ii,\,\,D - i$$
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