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GATE IN 2024 | Question: 27
The measured values from a flow instrument, whose range is between 0 and 2 flow units, are shown in the histogram. The systematic error (bias) and the maximum error (in flow units), respectively are 0.12 and 0.14 0.01 and 0.10 0.10 and 0.14 0.04 and 0.12
The measured values from a flow instrument, whose range is between 0 and 2 flow units, are shown in the histogram. The systematic error (bias) and the maximum error (in f...
1 votes
1 answer
2
GATE IN 2022 | Question: 13
The output $\text{F}$ of the digital circuit shown can be written in the form(s) __________ $\overline{A \cdot B}$ $\overline{A} + \overline{B}$ $\overline{A+B}$ $\overline{A} \cdot \overline{B}$
The output $\text{F}$ of the digital circuit shown can be written in the form(s) __________$\overline{A \cdot B}$$\overline{A} + \overline{B}$$\overline{A+B}$$\overline{A...
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1 answer
3
GATE2020 IN: 21
Assume that the opamp in the circuit shown is ideal. The value of $\frac{V_x}{I_x} (\text{in k}\Omega)$ is ____________.
Assume that the opamp in the circuit shown is ideal.The value of $\frac{V_x}{I_x} (\text{in k}\Omega)$ is ____________.
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GATE IN 2024 | GA Question: 3
A student was supposed to multiply a positive real number $p$ with another positive real number $q$. Instead, the student divided $p$ by $q$. If the percentage error in the student's answer is $80 \%$, the value of $q$ is $5$ $\sqrt{2}$ $2$ $\sqrt{5}$
A student was supposed to multiply a positive real number $p$ with another positive real number $q$. Instead, the student divided $p$ by $q$. If the percentage error in t...
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GATE IN 2024 | GA Question: 4
If the sum of the first 20 consecutive positive odd numbers is divided by $20^{2}$, the result is $1$ $20$ $2$ $1 / 2$
If the sum of the first 20 consecutive positive odd numbers is divided by $20^{2}$, the result is$1$$20$$2$$1 / 2$
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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 ...
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GATE IN 2024 | Question: 1
Let $\boldsymbol{z}=x+i y$ be a complex variable and $\overline{\boldsymbol{z}}$ be its complex conjugate. The equation $\bar{z}^{2}+z^{2}=2$ represents a parabola hyperbola ellipse circle
Let $\boldsymbol{z}=x+i y$ be a complex variable and $\overline{\boldsymbol{z}}$ be its complex conjugate. The equation $\bar{z}^{2}+z^{2}=2$ represents aparabolahyperbol...
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GATE IN 2024 | Question: 3
A discrete-time sequence is given by $x[n]=[1,2,3,4]$ for $0 \leq n \leq 3$. The zero lag auto-correlation value of $x[n]$ is $1$ $10$ $20$ $30$
A discrete-time sequence is given by $x[n]=[1,2,3,4]$ for $0 \leq n \leq 3$. The zero lag auto-correlation value of $x[n]$ is$1$$10$$20$$30$
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GATE IN 2024 | Question: 6
Among the given options, the simplified form of the Boolean function $F=(A+\bar{A} \cdot B)+\bar{A} \cdot(A+\bar{B}) \cdot C$ is $A+B+C$ A.B.C $B+\bar{A} \cdot C$ $\bar{A}+B . C$
Among the given options, the simplified form of the Boolean function $F=(A+\bar{A} \cdot B)+\bar{A} \cdot(A+\bar{B}) \cdot C$ is$A+B+C$A.B.C$B+\bar{A} \cdot C$$\bar{A}+B ...
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GATE IN 2024 | Question: 8
The sinusoidal transfer function corresponding to the polar plot shown in the figure, for $T>0$, is $1-j \omega T$ $\frac{1-j \omega T}{1+j \omega T}$ $1+j \omega T$ $\frac{1}{1+j \omega T}$
The sinusoidal transfer function corresponding to the polar plot shown in the figure, for $T>0$, is$1-j \omega T$$\frac{1-j \omega T}{1+j \omega T}$$1+j \omega T$$\frac{1...
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GATE IN 2024 | Question: 9
A matrix $M$ is constructed by stacking three column vectors $v_{1}, v_{2}, v_{3}$ as \[ M=\left[\begin{array}{lll} v_{1} & v_{2} & v_{3} \end{array}\right] \] Choose the set of vectors from the following options such that $\operatorname{rank}(M)=3$ ...
A matrix $M$ is constructed by stacking three column vectors $v_{1}, v_{2}, v_{3}$ as\[M=\left[\begin{array}{lll}v_{1} & v_{2} & v_{3}\end{array}\right]\]Choose the set o...
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24
GATE IN 2024 | Question: 11
A linear transducer is calibrated for the ranges shown in the figure. The gain of the transducer is $\mathrm{mA} /{ }^{\circ} \mathrm{C}$ (rounded off to two decimal places).
A linear transducer is calibrated for the ranges shown in the figure. The gain of the transducer is $\mathrm{mA} /{ }^{\circ} \mathrm{C}$ (rounded off to two decimal plac...
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28
GATE IN 2024 | Question: 15
The number of complex multiplications required for computing a 16-point DFT using the decimation-in-time radix-2 FFT is (in integer).
The number of complex multiplications required for computing a 16-point DFT using the decimation-in-time radix-2 FFT is (in integer).
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29
GATE IN 2024 | Question: 16
A $3 \times 3$ matrix $P$ with all real elements has eigenvalues $\frac{1}{4}, 1$, and -2 . The value of $\left|P^{-1}\right|$ is (rounded off to nearest integer).
A $3 \times 3$ matrix $P$ with all real elements has eigenvalues $\frac{1}{4}, 1$, and -2 . The value of $\left|P^{-1}\right|$ is (rounded off to nearest integer).
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GATE IN 2024 | Question: 17
The Nyquist sampling frequency for $x(t)=10 \sin ^{2}(200 \pi t)$ is $\mathrm{Hz}$ (rounded off to nearest integer).
The Nyquist sampling frequency for $x(t)=10 \sin ^{2}(200 \pi t)$ is $\mathrm{Hz}$ (rounded off to nearest integer).
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34
GATE IN 2024 | Question: 21
The current $i(t)$ drawn by a circuit is given as \[ i(t)=4+30 \cos (t)-20 \sin (t)+15 \cos (3 t)-10 \sin (3 t) \mathrm{A} \] The root-mean-square value of $i(t)$ is A (rounded off to one decimal place).
The current $i(t)$ drawn by a circuit is given as\[i(t)=4+30 \cos (t)-20 \sin (t)+15 \cos (3 t)-10 \sin (3 t) \mathrm{A}\]The root-mean-square value of $i(t)$ is A (round...
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GATE IN 2024 | Question: 23
The switch in the following figure has been closed for a long time $(t
The switch in the following figure has been closed for a long time $(t
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GATE IN 2024 | Question: 24
Consider a system given by the following first order differential equation: \[ \frac{d y}{d t}=y+2 t-t^{2} \] where, $y(0)=1$ and $0 \leq t
Consider a system given by the following first order differential equation:\[\frac{d y}{d t}=y+2 t-t^{2}\]where, $y(0)=1$ and $0 \leq t
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