1
GATE ECE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The Laplace transform of the casual periodic square wave of period T shown in the figure below is GATE ECE 2016 Set 1 Signals and Systems - Continuous Time Signal Laplace Transform Question 3 English
A
$$F\left( s \right) = {1 \over {1 + {e^{ - sT/2}}}}$$
B
$$F\left( s \right) = {1 \over {s\left[ {1 + {e^{{{sT} \over 2}}}} \right]}}$$
C
$$F\left( s \right) = {1 \over {s\left( {1 + {e^{ - sT}}} \right)}}$$
D
$$F\left( s \right) = {1 \over {1 - {e^{ - sT}}}}$$
2
GATE ECE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Which one of the following is an eight function of the class of all continuous-time, linear, time- invariant systems u(t) denotes the unit-step function?
A
$${e^{j{\omega _0}t}}u(t)$$
B
$$\cos ({\omega _0}t)$$
C
$${e^{j{\omega _0}t}}$$
D
$$\sin ({\omega _0}t)$$
3
GATE ECE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
In a huge pile of apples and oranges, both ripe and unripe mixed together, 15% are unripe fruits. Of the unripe fruits, 45% are apples. Of the ripe ones, 66% are oranges. If the pile contains a total of 5692000 fruits, how many of them are apples?
A
2029198
B
2467482
C
2789080
D
3577422
4
GATE ECE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Michael lives 10 km away from where I live. Ahmed lives 5 km away and Susan lives 7 km away from where I live. Arun is farther away than Ahmed but closer than Susan from where I live. From the information provided here, what is one possible distance (in km) at which I live from Arun's place?
A
3.00
B
4.99
C
6.02
D
7.01
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