1
GATE ECE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A first-order low-pass filter of time constant T is excited with different input signals (with zero initial conditions up to t = 0). Match the excitation signals X, Y, Z with the corresponding time responses for $$t\, \ge 0$$:
X: Impulse P: 1 $$ - {e^{ - t/T}}$$
Y: Unit step Q: t $$ - T(1 - {e^{ - t/T}})$$
Z: Ramp R: $${e^{ - t/T}}$$
A
$$X \to R,\,Y \to Q,\,\,Z \to P$$
B
$$X \to Q,\,Y \to P,\,\,Z \to R$$
C
$$X \to R,\,Y \to P,\,\,Z \to Q$$
D
$$X \to P,\,Y \to R,\,\,Z \to Q$$
2
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
3
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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