GATE ECE 2021 | GATE ECE Year Wise Previous Years Questions

GATE ECE 2021

MCQ (Single Correct Answer)

-0.66

A box contains the following three coins.

I. A fair coin head on one face and tail on the other face.

II. A coin with heads to both the faces.

III. A coin with tails on both the faces.

A coin is picked randomly from the box and tossed. Out of the two remaining coins in the box, one coin is then picked randomly and tossed. If the first toss results in a head, the probability of getting a head in the second toss is

$${2 \over 3}$$

$${2 \over 5}$$

$${1 \over 3}$$

$${1 \over 2}$$

GATE ECE 2021

MCQ (Single Correct Answer)

-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

$$\sigma _Y^2$$ = 25$$\sigma _X^2$$

$$\sigma _Y^2$$ = 4$$\sigma _X^2$$

$$\sigma _Y^2$$ = 2$$\sigma _X^2$$

$$\sigma _Y^2$$ = 5$$\sigma _X^2$$

GATE ECE 2021

MCQ (Single Correct Answer)

-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

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

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

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

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

GATE ECE 2021

Numerical

-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 ____

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