1
GATE ECE 2021
MCQ (Single Correct Answer)
+1
-0.33
Two continuous random variables X and Y are related as Y = 2X + 3. Let $$\sigma _x^2$$ and $$\sigma _y^2$$ denote the variances of X and Y, respectively. The variances are related as
A
$$\sigma _Y^2$$ = 25$$\sigma _X^2$$
B
$$\sigma _Y^2$$ = 4$$\sigma _X^2$$
C
$$\sigma _Y^2$$ = 2$$\sigma _X^2$$
D
$$\sigma _Y^2$$ = 5$$\sigma _X^2$$
2
GATE ECE 2021
MCQ (Single Correct Answer)
+2
-0.67

The content of the registers are $R_1=25 \mathrm{H}, R_2=30 \mathrm{H}$ and $R_3 =40 \mathrm{H}$. The following machine instructions are executed.

$$ \begin{aligned} & \operatorname{PUSH}\left\{R_1\right\} \\ & \operatorname{PUSH}\left\{R_2\right\} \\ & \operatorname{PUSH}\left\{R_3\right\} \\ & \operatorname{POP}\left\{R_1\right\} \\ & \operatorname{POP}\left\{R_2\right\} \\ & \operatorname{POP}\left\{R_3\right\} \end{aligned} $$

After execution, the content of registers $R_1, R_2, R_3$ are

A

$R_1=40 \mathrm{H}, R_2=30 \mathrm{H}, R_3=25 \mathrm{H}$

B

$R_1=40 \mathrm{H}, R_2=25 \mathrm{H}, R_3=30 \mathrm{H}$

C

$R_1=25 \mathrm{H}, R_2=30 \mathrm{H}, R_3=40 \mathrm{H}$

D

$R_1=30 \mathrm{H}, R_2=40 \mathrm{H}, R_3=25 \mathrm{H}$

3
GATE ECE 2021
Numerical
+1
-0

Consider the circuit shown in the figure.



GATE ECE 2021 Network Theory - Network Elements Question 6 English

The current I flowing through the 7$$\Omega$$ resistor between P and Q (rounded off to one decimal place) is ______ A

Your input ____
4
GATE ECE 2021
Numerical
+1
-0
Consider the circuit shown in the figure.

GATE ECE 2021 Network Theory - Network Theorems Question 9 English

The value of v0 (rounded off to one decimal place) is ______ V.
Your input ____