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answers
1
GATE IN 2024 | GA Question: 1
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [drizzle $\rightarrow$ rain $\rightarrow$ downpour] is analogous to [ $\rightarrow$ quarrel $\rightarrow$ feud]. Which one of the given options is appropriate to fill the blank? bicker bog dither dodge
If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words[drizzle $\rightarrow$ rain $\rightarrow$ downpour] is analogous to [ $\rightarro...
asked
Feb 16
Others
gatein-2024
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2
GATE IN 2024 | GA Question: 2
Statements: 1. All heroes are winners. 2. All winners are lucky people. Inferences: I. All lucky people are heroes. II. Some lucky people are heroes. III. Some winners are heroes. Which of the above inferences can be logically deduced from statements 1 and 2 ? Only I and II Only II and III Only I and III Only III
Statements:1. All heroes are winners.2. All winners are lucky people.Inferences:I. All lucky people are heroes.II. Some lucky people are heroes.III. Some winners are hero...
asked
Feb 16
Others
gatein-2024
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3
GATE IN 2024 | GA Question: 3
A student was supposed to multiply a positive real number $p$ with another positive real number $q$. Instead, the student divided $p$ by $q$. If the percentage error in the student's answer is $80 \%$, the value of $q$ is $5$ $\sqrt{2}$ $2$ $\sqrt{5}$
A student was supposed to multiply a positive real number $p$ with another positive real number $q$. Instead, the student divided $p$ by $q$. If the percentage error in t...
asked
Feb 16
Others
gatein-2024
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answers
4
GATE IN 2024 | GA Question: 4
If the sum of the first 20 consecutive positive odd numbers is divided by $20^{2}$, the result is $1$ $20$ $2$ $1 / 2$
If the sum of the first 20 consecutive positive odd numbers is divided by $20^{2}$, the result is$1$$20$$2$$1 / 2$
asked
Feb 16
Others
gatein-2024
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answers
5
GATE IN 2024 | GA Question: 5
The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) in classes VIII and IX is 450 and 360 , respectively. If the number of girls in classes VIII and IX is the same, then the number of girls in each class is $150$ $200$ $250$ $175$
The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) ...
asked
Feb 16
Others
gatein-2024
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answers
6
GATE IN 2024 | GA Question: 6
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks. Yoko Roi stands (i) as an author for standing (ii) as an honorary fellow, after she stood (iii) her writings that stand (iv) the freedom of speech. (i) out (ii) down (iii) in (iv) for (i) down (ii) out (iii) by (iv) in (i) down (ii) out (iii) for (iv) in (i) out (ii) down (iii) by (iv) for
In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.Yoko Roi stands (i) as an author for standing (ii) as an honorary fellow, af...
asked
Feb 16
Others
gatein-2024
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7
GATE IN 2024 | GA Question: 7
Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder. The length of the container is equal to the length of the chalk-sticks. The ratio of the occupied space to the empty space of the container is $5 / 2$ $7 / 2$ $9 / 2$ $3$
Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder.The...
asked
Feb 16
Others
gatein-2024
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8
GATE IN 2024 | GA Question: 8
The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of the following options is true? The risk reduction on increasing the steps/day from 0 to 10000 is less than the risk reduction on increasing the ... risk reduction occurs on going from 0 to 5000 . For any 5000 increment in steps/day the largest risk reduction occurs on going from 15000 to 20000 .
The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of...
asked
Feb 16
Others
gatein-2024
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9
GATE IN 2024 | GA Question: 9
Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction $X$, the planar image of the assembly appears as Figure B. Figure $\mathrm{A}$ Figure B If viewed from direction $Y$, the planar image of the assembly (Figure A) will appear as \begin{tabular}{|l|l|} \hline & \\ \hline & \\ \hline \end{tabular}
Five cubes of identical size and another smaller cube are assembled as shown in Figure A. If viewed from direction $X$, the planar image of the assembly appears as Figure...
asked
Feb 16
Others
gatein-2024
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10
GATE IN 2024 | GA Question: 10
Visualize a cube that is held with one of the four body diagonals aligned to the vertical axis. Rotate the cube about this axis such that its view remains unchanged. The ...
asked
Feb 16
Others
gatein-2024
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11
GATE IN 2023 | GA Question: 10
An opaque cylinder (shown below) is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of...
edited
Sep 25, 2023
Spatial Aptitude
gatein-2023
spatial-aptitude
figure-in-three-dimension
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0
answers
12
GATE IN 2023 | GA Question: 5
In the given diagram, ovals are marked at different heights $(h)$ of a hill. Which one of the following options $\mathbf{P}, \mathbf{Q}, \mathbf{R}$, and $\mathbf{S}$ depicts the top view of the hill? $\mathbf{P}$ $\mathbf{Q}$ $\mathbf{R}$ $\mathbf{S}$
In the given diagram, ovals are marked at different heights $(h)$ of a hill. Which one of the following options $\mathbf{P}, \mathbf{Q}, \mathbf{R}$, and $\mathbf{S}$ dep...
edited
Sep 25, 2023
Quantitative Aptitude
gatein-2023
quantitative-aptitude
curves
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0
answers
13
GATE IN 2023 | GA Question: 9
Which one of the given figures $\text{P, Q, R}$ and $\text{S}$ represents the graph of the following function? $f(x)=|| x+2|-| x-1||$ $\text{P}$ $\text{Q}$ $\text{R}$ $\text{S}$
Which one of the given figures $\text{P, Q, R}$ and $\text{S}$ represents the graph of the following function?$$f(x)=|| x+2|-| x-1||$$ $\text{P}$$\text{Q}$$\text{R}$$\te...
edited
Sep 23, 2023
Quantitative Aptitude
gatein-2023
quantitative-aptitude
absolute-value
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1
answer
14
GATE IN 2023 | GA Question: 4
Which one among the following statements must be $\text{TRUE}$ about the mean and the median of the scores of all candidates appearing for $\text{GATE }2023?$ The median is at least as large as the mean. The mean is at least as large as the median. At most half the candidates have a score that is larger than the median At most half the candidates have a score that is larger than the mean.
Which one among the following statements must be $\text{TRUE}$ about the mean and the median of the scores of all candidates appearing for $\text{GATE }2023?$The median i...
answer selected
Sep 23, 2023
Quantitative Aptitude
gatein-2023
quantitative-aptitude
statistics
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1
answer
15
GATE IN 2023 | GA Question: 3
A 'frabjous' number is defined as a $3$ digit number with all digits odd, and no two adjacent digits being the same. For example, $137$ is a frabjous number, while $133$ is not. How many such frabjous numbers exist? $125$ $720$ $60$ $80$
A 'frabjous' number is defined as a $3$ digit number with all digits odd, and no two adjacent digits being the same. For example, $137$ is a frabjous number, while $133$ ...
answer selected
Sep 23, 2023
Quantitative Aptitude
gatein-2023
quantitative-aptitude
number-theory
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0
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16
GATE IN 2021 | GA Question: 1
Getting to the top is ______________ than staying on top. more easy much easy easiest easier
Getting to the top is ______________ than staying on top.more easymuch easyeasiesteasier
asked
Feb 19, 2021
Verbal Aptitude
gatein-2021
verbal-ability
most-appropriate-word
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0
answers
17
GATE IN 2021 | GA Question: 2
The mirror image of the above text about the $\text{X}$-axis is
The mirror image of the above text about the $\text{X}$-axis is
asked
Feb 19, 2021
Analytical Aptitude
gatein-2021
analytical-aptitude
logical-reasoning
mirror-image
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0
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18
GATE IN 2021 | GA Question: 3
In a company, $35\%$ of the employees drink coffee, $40\%$ of the employees drink tea and $10\%$ of the employees drink both tea and coffee. What $\%$ of employees drink neither tea nor coffee? $15$ $25$ $35$ $40$
In a company, $35\%$ of the employees drink coffee, $40\%$ of the employees drink tea and $10\%$ of the employees drink both tea and coffee. What $\%$ of employees drink ...
asked
Feb 19, 2021
Quantitative Aptitude
gatein-2021
numerical-ability
venn-diagrams
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0
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19
GATE IN 2021 | GA Question: 4
$\bigoplus$ and $\bigodot$ are two operators on numbers $\text{p}$ and $\text{q}$ such that $p \bigoplus q=\dfrac{p^{2}+q^{2}}{pq}$ and $p \bigodot q=\dfrac{p^{2}}{q}$; If $x\bigoplus y=2\bigodot 2$, then $x=$ $\frac{y}{2}$ $y$ $\frac{3y}{2}$ $2y$
$\bigoplus$ and $\bigodot$ are two operators on numbers $\text{p}$ and $\text{q}$ such that $p \bigoplus q=\dfrac{p^{2}+q^{2}}{pq}$ and $p \bigodot q...
asked
Feb 19, 2021
Quantitative Aptitude
gatein-2021
numerical-ability
algebra
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0
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20
GATE IN 2021 | GA Question: 5
Four persons $\text{P, Q, R}$ and $\text{S}$ are to be seated in a row, all facing the same direction, but not necessarily in the same order. $\text{P}$ and $\text{R}$ cannot sit adjacent to each other. $\text{S}$ should be seated to the right of $\text{Q}$. The number of distinct seating arrangements possible is: $2$ $4$ $6$ $8$
Four persons $\text{P, Q, R}$ and $\text{S}$ are to be seated in a row, all facing the same direction, but not necessarily in the same order. $\text{P}$ and $\text{R}$ ca...
asked
Feb 19, 2021
Quantitative Aptitude
gatein-2021
numerical-ability
permutation-and-combination
seating-arrangements
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21
GATE IN 2021 | GA Question: 6
$\text{Statement:}$ Either $\text{P}$ marries $\text{Q}$ or $\text{X}$ marries $\text{Y}$ Among the options below, the logical $\text{NEGATION}$ of the above statement is : $\text{P}$ does not marry $\text{Q}$ and $\text{X}$ marries $\text{Y}$ Neither $\text{P}$ marries $\text{Q}$ nor $\text{X}$ marries $\text{Y}$ $\text{X}$ does not marry $\text{Y}$ and $\text{P}$ marries $\text{Q}$ $\text{P}$ marries $\text{Q}$ and $\text{X}$ marries $\text{Y}$
$\text{Statement:}$ Either $\text{P}$ marries $\text{Q}$ or $\text{X}$ marries $\text{Y}$Among the options below, the logical $\text{NEGATION}$ of the above statement is ...
asked
Feb 19, 2021
Analytical Aptitude
gatein-2021
analytical-aptitude
logical-reasoning
family-relationships
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22
GATE IN 2021 | GA Question: 7
Consider two rectangular sheets, Sheet $\text{M}$ and Sheet $\text{N}$ of dimensions $6\:cm \times 4\:cm$ each. $\text{Folding operation 1}$ : The sheet is folded into half by joining the short edges of the current shape. $\text{Folding operation 2}$ : The sheet is folded into half by joining the long edges of the current shape. ... of the final folded shape of Sheet $\text{N}$ to the final folded shape of Sheet $\text{M}$ is _____________. $13:7$ $3:2$ $7:5$ $5:13$
Consider two rectangular sheets, Sheet $\text{M}$ and Sheet $\text{N}$ of dimensions $6\:cm \times 4\:cm$ each.$\text{Folding operation 1}$ : The sheet is folded into hal...
asked
Feb 19, 2021
Spatial Aptitude
gatein-2021
spatial-aptitude
paper-folding
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0
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23
GATE IN 2021 | GA Question: 8
Five line segments of equal lengths, $\text{PR, PS, QS, QT}$ and $\text{RT}$ are used to form a star as shown in the figure above. The value of $\theta$, in degrees, is _______________ $36$ $45$ $72$ $108$
Five line segments of equal lengths, $\text{PR, PS, QS, QT}$ and $\text{RT}$ are used to form a star as shown in the figure above.The value of $\theta$, in degrees, is __...
asked
Feb 19, 2021
Quantitative Aptitude
gatein-2021
numerical-ability
geometry
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24
GATE IN 2021 | GA Question: 9
A function, $\lambda$, is defined by $\lambda \left ( p,q \right )=\left\{\begin{matrix} \left ( p-q \right )^{2} , & \text{if} \:p\geq q, \\ p+q, &\text{if} \: p< q.\end{matrix}\right.$ The value of the expression $\dfrac{\lambda \left ( -\left (- 3+2 \right ),\left ( -2+3 \right ) \right )}{\left ( -\left ( -2+1 \right ) \right )}$ is: $-1$ $0$ $\frac{16}{3}$ $16$
A function, $\lambda$, is defined by$\lambda \left ( p,q \right )=\left\{\begin{matrix} \left ( p-q \right )^{2} , & \text{if} \:p\geq q, \\ p+q, &\text{if} \: p< q.\end{...
asked
Feb 19, 2021
Quantitative Aptitude
gatein-2021
numerical-ability
functions
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25
GATE IN 2021 | GA Question: 10
Humans have the ability to construct worlds entirely in their minds, which don't exist in the physical world. So far as we know, no other species possesses this ability. ...
asked
Feb 19, 2021
Verbal Aptitude
gatein-2021
verbal-ability
verbal-reasoning
passage-reading
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0
answers
26
GATE IN 2021 | Question: 1
Consider the row vectors $v=(1,0)$ and $w=(2,0)$. The rank of the matrix $M=2v^{T}v+3w^{T}w$, where the superscript $\text{T}$ denotes the transpose, is $1$ $2$ $3$ $4$
Consider the row vectors $v=(1,0)$ and $w=(2,0)$. The rank of the matrix $M=2v^{T}v+3w^{T}w$, where the superscript $\text{T}$ denotes the transpose, is$1$$2$$3$$4$
asked
Feb 19, 2021
Linear Algebra
gatein-2021
linear-algebra
matrices
rank-of-matrix
vectors
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27
GATE IN 2021 | Question: 2
Consider the sequence $x_{n}=0.5x_{n-1}+1,n=1,2, \dots \:\dots$ with $x_0=0$ . Then $\displaystyle \lim_{n\rightarrow \infty} x_n$ is $0$ $1$ $2$ $\infty$
Consider the sequence $x_{n}=0.5x_{n-1}+1,n=1,2, \dots \:\dots$ with $x_0=0$ . Then $\displaystyle \lim_{n\rightarrow \infty} x_n$ is$0$$1$$2$$\infty$
asked
Feb 19, 2021
Calculus
gatein-2021
calculus
limits
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28
GATE IN 2021 | Question: 3
An infinitely long line, with uniform positive charge density, lies along the $\text{z}$-axis. In cylindrical coordinate $\left ( r,\varnothing ,z \right )$, at any point $\vec{P}$ not on the $\text{z}$-axis, the direction of the electric field is $\hat{r}$ $\hat{\varnothing }$ $\hat{z }$ $\frac{\left ( \hat{r}+\hat{z} \right )}{\sqrt{2}}$
An infinitely long line, with uniform positive charge density, lies along the $\text{z}$-axis. In cylindrical coordinate $\left ( r,\varnothing ,z \right )$, at any point...
asked
Feb 19, 2021
Others
gatein-2021
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29
GATE IN 2021 | Question: 4
The input-output relationship of an $\text{LTI}$ system is given below. For an input $x\left [ n \right ]$ shown below the peak value of the output when $x\left [ n \right ]$ passes through $\text{h}$ is _____________. $2$ $4$ $5$ $6$
The input-output relationship of an $\text{LTI}$ system is given below.For an input $x\left [ n \right ]$ shown belowthe peak value of the output when $x\left [ n \right ...
asked
Feb 19, 2021
Others
gatein-2021
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30
GATE IN 2021 | Question: 5
In an $\text{ac}$ main, the $\text{rms}$ voltage $V_{ac}$, $\text{rms}$ current $I_{ac}$ and power $W_{ac}$ are measured as: $V_{ac}=100 \: V \pm 1\%, I_{ac} = 1 \: A \pm 1\%$ and $W_{ac}=50 \: W \pm 2\%$(errors are with respect to readings). The percentage error in calculating the power factor using these readings is $1\%$ $2\%$ $3\%$ $4\%$
In an $\text{ac}$ main, the $\text{rms}$ voltage $V_{ac}$, $\text{rms}$ current $I_{ac}$ and power $W_{ac}$ are measured as: $V_{ac}=100 \: V \pm 1\%, I_{ac} = 1 \: A \p...
asked
Feb 19, 2021
Others
gatein-2021
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31
GATE IN 2021 | Question: 6
Let $u\left ( t \right )$ denote the unit step function. The bilateral Laplace transform of the function $f\left ( t \right )=e^{t}u\left ( -t \right )$ is ________________. $\frac{1}{s-1}$ with real part of $s< 1$ $\frac{1}{s-1}$ with real part of $s> 1$ $\frac{-1}{s-1}$ with real part of $s< 1$ $\frac{-1}{s-1}$ with real part of $s> 1$
Let $u\left ( t \right )$ denote the unit step function. The bilateral Laplace transform of the function $f\left ( t \right )=e^{t}u\left ( -t \right )$ is ______________...
asked
Feb 19, 2021
Differential equations
gatein-2021
differential-equations
laplace-transform
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0
answers
32
GATE IN 2021 | Question: 7
Input-output characteristic of a temperature sensor is exponential for a Thermistor Thermocouple Resistive Temperature Device $\text{(RTD)}$ Mercury thermometer
Input-output characteristic of a temperature sensor is exponential for aThermistorThermocoupleResistive Temperature Device $\text{(RTD)}$Mercury thermometer
asked
Feb 19, 2021
Others
gatein-2021
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0
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33
GATE IN 2021 | Question: 8
The signal $\sin\left ( \sqrt{2\pi t} \right )$ is periodic with period $T=\sqrt{2\pi }$ not periodic periodic with period $T=2\pi$ periodic with period $T=4\pi ^{2}$
The signal $\sin\left ( \sqrt{2\pi t} \right )$ isperiodic with period $T=\sqrt{2\pi }$not periodic periodic with period $T=2\pi$periodic with period $T=4\pi ^{2}$
asked
Feb 19, 2021
Others
gatein-2021
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0
answers
34
GATE IN 2021 | Question: 9
The step response of a circuit is seen to have an oscillatory behavior at the output with oscillations dying down after some time. The correct inference$\text{(s)}$ regarding the transfer function from input to output is/are that it is of at least second order that it has at least one pole-pair that is underdamped that it does not have a real pole that it is a first order system
The step response of a circuit is seen to have an oscillatory behavior at the output with oscillations dying down after some time. The correct inference$\text{(s)}$ regar...
asked
Feb 19, 2021
Others
gatein-2021
multiple-selects
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0
answers
35
GATE IN 2021 | Question: 10
For a $4$-bit Flash type Analog to Digital Convertor $\text{(ADC)}$ with full scale input voltage range $\text{"V"}$ which of the following statement$\text{(s)}$ is/are true? The $\text{ADC}$ requires $15$ comparators The $\text{ADC}$ requires one $4$ to $2$ priority encoder and $4$ comparators A change in the ... $\text{MSB}$ of the output A change in the input voltage by $\frac{V}{16}$ will always flip the $\text{LSB}$ of the output
For a $4$-bit Flash type Analog to Digital Convertor $\text{(ADC)}$ with full scale input voltage range $\text{"V"}$ which of the following statement$\text{(s)}$ is/are t...
asked
Feb 19, 2021
Others
gatein-2021
multiple-selects
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0
answers
36
GATE IN 2021 | Question: 11
A $16$-bit microprocessor has twenty address lines ($A_{0}$ to $A_{19}$) and $16$ data lines. The higher eight significant lines of the data bus of the processor are tied to the $8$-data lines of a $16$ Kbyte memory that can store one byte in each of its $\text{16K}$ address locations.The memory chip ... only $A_{19}$ to $A_{14}$ for generating chip select The above chip cannot be interfaced as the width of the data bus of the processor and the memory chip differs
A $16$-bit microprocessor has twenty address lines ($A_{0}$ to $A_{19}$) and $16$ data lines. The higher eight significant lines of the data bus of the processor are tied...
asked
Feb 19, 2021
Digital Electronics
gatein-2021
multiple-selects
digital-electronics
microprocessor-8085
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0
answers
37
GATE IN 2021 | Question: 12
A single-phase transformer has a magnetizing inductance of $\text{250 mH}$ and a core loss resistance of $300\: \Omega$, referred to primary side. When excited with a $\text{230 V}$, $\text{50 Hz}$ sinusoidal supply at the primary, the power factor of the input current drawn, with secondary on open circuit, is ______ (rounded off to two decimal places).
A single-phase transformer has a magnetizing inductance of $\text{250 mH}$ and a core loss resistance of $300\: \Omega$, referred to primary side. When excited with a $\t...
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
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–
0
answers
38
GATE IN 2021 | Question: 13
Taking $\text{N}$ as positive for clockwise encirclement, otherwise negative, the number of encirclements $\text{N}$ of $(-1,0)$ in the Nyquist plot of $G\left ( s \right )=\dfrac{3}{s-1}$ is _______________.
Taking $\text{N}$ as positive for clockwise encirclement, otherwise negative, the number of encirclements $\text{N}$ of $(-1,0)$ in the Nyquist plot of $G\left ( s \right...
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
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–
0
answers
39
GATE IN 2021 | Question: 14
The diode used in the circuit has a fixed voltage drop of $\text{0.6 V}$ when forward biased. A signal $v_{s}$ is given to the ideal $\text{OpAmp}$ as shown. When $v_{s}$ is at its positive peak, the output $(v_{OA})$ of the $\text{OpAmp}$ in volts is ___________.
The diode used in the circuit has a fixed voltage drop of $\text{0.6 V}$ when forward biased. A signal $v_{s}$ is given to the ideal $\text{OpAmp}$ as shown. When $v_{s}$...
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
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–
0
answers
40
GATE IN 2021 | Question: 15
The transistor $Q_{1}$ has a current gain $\beta _{1}=99$ and the transistor $Q_{2}$ has a current gain $\beta _{2}=49$. The current $I_{B2}$ in microampere is ______________.
The transistor $Q_{1}$ has a current gain $\beta _{1}=99$ and the transistor $Q_{2}$ has a current gain $\beta _{2}=49$. The current $I_{B2}$ in microampere is __________...
asked
Feb 19, 2021
Others
gatein-2021
numerical-answers
+
–
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