1
GATE EE 2021
MCQ (Single Correct Answer)
+1
-0.33

If the input $x(t)$ and output $y(t)$ of a system are related as $y(t)=\max [0, x(t)]$, then the system is

A

Linear and time-variant

B

Linear and time-invariant

C

Non-linear and time-variant

D

Non-linear and time-invariant

2
GATE EE 2021
MCQ (Single Correct Answer)
+1
-0.33

Two discrete-time linear time-invariant systems with impulse responses $h_1\lfloor n\rfloor=\delta\lfloor n-1\rfloor+\delta\lfloor n+1\rfloor$ and $h_2[n]=\delta[n]+\delta[n-1]$ are connected in cascade. Where $\delta[n]$ in the Kronecker delta. The impulse response of the cascade system

A

$\delta[n-2]+\delta[n+1]$

B

$\delta[n-1] \delta[n]+\delta[n+1] \delta[n-1]$

C

$\delta[n-2]+\delta[n-1]+\delta[n]+\delta[n+1]$

D

$\delta[n] \delta[n-1]+\delta[n-2] \delta[n+1]$

3
GATE EE 2021
MCQ (Single Correct Answer)
+1
-0.33

For a regular polygon having 10 sides, the interior angle between the sides of the polygon, in degrees, is

A

396

B

324

C

216

D

144

4
GATE EE 2021
MCQ (Single Correct Answer)
+2
-0.67

Seven Cars $P, Q, R, S, T, U$ and $V$ are parked in a row not necessarily in that order. The cars $T$ and $U$ should be parked next to each other. The cars $S$ and $V$ also should be parked next to each other, whereas $P$ and $Q$ can't be parked next to each other. $Q$ and $S$ must be parked next to each other. $R$ is parked to the immediate right of $\mathrm{V} . \mathrm{T}$ is parked to the left of U .

Based on the above statements, the only incorrect option given below is

A

There are two cars parked in between Q and V .

B

Q and R are not parked together.

C

V is the only car parked in between S and R .

D

Car P is parked at extreme end.