1
GATE EE 2025
MCQ (Single Correct Answer)
+2
-0.67
The continuous-time unit impulse signal is applied as an input to a continuous-time linear time-invariant system $S$. The output is observed to be the continuous-time unit step signal $u(t)$. Which one of the following statements is true?
A
Every bounded input signal applied to $S$ results in a bounded output signal.
B
It is possible to find a bounded input signal which when applied to $S$ results in an unbounded output signal.
C
On applying any input signal to $S$, the output signal is always bounded.
D
On applying any input signal to $S$ the output signal is always unbounded.
2
GATE EE 2025
Numerical
+2
-0
An ideal low pass filter has frequency response given by $$ H(j \omega)= \begin{cases}1, & |\omega| \leq 200 \pi \\ 0, & \text { otherwise }\end{cases} $$ Let $h(t)$ be its time domain representation. Then $h(0)=$ ____________ (round off to the nearest integer)
Your input ____
3
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33

Kavya__________go to work yesterday as she________ feeling well. Select the most approrpriate option to complete the above sentence.

A
didn't; isn't
B
wouldn't; wasn't
C
wasn't; wasn't
D
couldn't; wasn't
4
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33

Good : Evil : : Genuine : ?

Select the most appropriate option to complete the analogy.

A
Counterfeit
B
contraband
C
Counterfoil
D
counterpart
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