1
GATE EE 2024
MCQ (Single Correct Answer)
+2
-1.33

If the Z-transform of a finite-duration discrete-time signal $x[n]$ is $X(z)$, then the Z-transform of the signal $y[n] = x[2n]$ is

A

$Y(z) = X(z^2)$

B

$Y(z) = \frac{1}{2} \left[ X(z^{-1/2}) + X(-z^{-1/2}) \right]$

C

$Y(z) = \frac{1}{2} \left[ X(z^{1/2}) + X(-z^{1/2}) \right]$

D

$Y(z) = \frac{1}{2} \left[ X(z^2) + X(-z^2) \right]$

2
GATE EE 2024
Numerical
+2
-1.33

If the energy of a continuous-time signal $x(t)$ is $E$ and the energy of the signal $2x(2t - 1)$ is $cE$, then $c$ is _____ (rounded off to 1 decimal place).

Your input ____
3
GATE EE 2024
MCQ (Single Correct Answer)
+1
-0.33

If ‘→’ denotes increasing order of intensity, then the meaning of the words [talk → shout → scream] is analogous to [please → _______ → pander].
Which one of the given options is appropriate to fill the blank?

A

flatter

B

flutter

C

fritter

D

frizzle

4
GATE EE 2024
MCQ (Single Correct Answer)
+1
-0.33

P and Q have been allotted a hostel room with two beds, a study table, and an almirah. P is an avid bird-watcher and wants to sit at the table and watch birds outside the window. Q does not mind that as long as his bed is close to the ceiling fan.

Which one of the following arrangements suits them the most?

A
GATE EE 2024 General Aptitude - Logical Reasoning Question 2 English Option 1
B
GATE EE 2024 General Aptitude - Logical Reasoning Question 2 English Option 2
C
GATE EE 2024 General Aptitude - Logical Reasoning Question 2 English Option 3
D
GATE EE 2024 General Aptitude - Logical Reasoning Question 2 English Option 4
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