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1 1 vote
1 1 answer
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...
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1 1 answer
Consider the readout circuit of a piezoelectric sensor shown in the figure.When the piezoelectric sensor generates a charge $q_{p}$, the resulting change in voltage $\mat...
0 0 votes
1 1 answer
A Boolean function $X$ is given as $X=\bar{A} \bar{B}+\bar{A} \bar{C}$. The reduced form of $\bar{X}$ is$\bar{A}+\bar{B}+\bar{C}$$A+B C$$\bar{A}+\bar{B}+C$$B+A C$
2 2 votes
3 3 answers
Let $p_{1}$ and $p_{2}$ denote two arbitrary prime numbers. Which one of the following statements is correct for all values of $p_{1}$ and $p_{2}$ ?$p_{1}+p_{2}$ is not a...
1 1 vote
1 1 answer
​​​A student was supposed to multiply a positive real number $p$ with another positive real number $q$. Instead, the student divided $p$ by $q$. If the percentage error i...
0 0 votes
1 1 answer
Consider the function $f\left ( x \right )=-x^{2}+10x+100$. The minimum value of the function in interval $[5,10]$ is ___________.
0 0 votes
1 1 answer
Consider the real-valued function $g(x)=\max \left\{(x-2)^2,-2 x+7\right\}$, where $x \in(-\infty, \infty)$. The minimum value attained by $g(x)$ is_____________(rounded ...
1 1 vote
1 answers 1 answer
Bird : Nest :: Bee : __________.Select the correct option to complete the analogy.KennelHammockHiveLair
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0 0 answers
Despite his initial hesitation, Rehman's $\_\_\_\_\_\_\_\_\_\_\_$ to contribute to the success of the project never wavered.Select the most appropriate option to complete...
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If $P e^{x}=Q e^{-x}$ for all real values of $x$, which one of the following statements is true?$P=Q=0$$P=Q=1$$P=1 ; Q=-1$$\frac{P}{Q}=0$
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The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly rep...
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Based only on the conversation below, identify the logically correct inference:"Even if I had known that you were in the hospital, I would not have gone there to see you"...
1 1 vote
0 0 answers
If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively then, which one among the given options is the most appropriate code for BEACH?CEADPIDBFCJGIBCIBCEC
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Which one of the following options is correct for the given data in the table?$\begin{array}{|c|c|c|c|c|}\hline\text{Iteration (i)} & 0 & 1 & 2 & 3 \\ \hline\text{Input (...
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0 0 answers
In the given figure, $PQRS$ is a square of side $2 \: \mathrm{cm}$ and $PLMN$ is a rectangle. The corner $L$ of the rectangle is on the side $QR$. Side $MN$ of the rectan...
1 1 vote
0 0 answers
The diagram below shows a river system consisting of $7$ segments, marked $\mathrm{P}, \mathrm{Q}, \mathrm{R}, \mathrm{S}, \mathrm{T}, \mathrm{U}$, and $\mathrm{V}$. It s...
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A $2 n \times 2 n$ matrix $A=\left[a_{i j}\right]$ has its elements as$$ a_{i j}=\begin{cases} \beta & \text { if }(i+j) \text { is odd } \\ -\beta & \text { if }(i+j) \t...
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0 0 answers
The solution of the differential equation $\frac{\mathrm{d} y}{\mathrm{~d} x}=9 \frac{x}{y}$ representsa hyperbolaa parabolaan ellipsea circle
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The working of the hand-held metal detector most widely used by security personnel for human frisking is based on the principle ofchange in reluctance of an iron core in ...
0 0 votes
0 0 answers
The primary coil of a linear variable differential transformer (LVDT) is supplied with AC voltage as shown in the figure. The secondary coils are connected in series oppo...
0 0 votes
0 0 answers
In the force transducer shown in Figure (a), four identical strain gauges $S1, S2, S3$, and $S4$ are mounted on a cantilever at equal distance from its base. $S1$ and $S2...
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Let a continuous-time signal be $x(t)=e^{j 9 t}+e^{j 5 t}$, where $j=\sqrt{-1}$ and $t$ is in seconds. The fundamental period of magnitude of $x(t)$, in seconds, is$\pi$$...
1 1 vote
0 0 answers
The minimized expression of the Boolean function $\mathrm{Y}(\mathrm{P}, \mathrm{Q}, \mathrm{R})$ implemented by the multiplexer (MUX) circuit shown in the figure is$\mat...
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0 0 answers
The $4$-bit signed $2$'s complement form of $(5)_{10}+(5)_{10}$ is$(-6)_{10}$$(-7)_{10}$$(-5)_{10}$$(-8)_{10}$
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An infinite sheet of uniform charge $\rho_{s}=10 \mathrm{C} / \mathrm{m}^{2}$ is placed on $z=0$ plane. The medium surrounding the sheet has a relative permittivity of $1...
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For the ideal opamp based circuit shown in the figure, the ratio $\frac{V}{I}$ is$\left(\frac{R_{3}+R_{4}}{R_{1}+R_{3}}\right) R_{1}$$\left(\frac{R_{2}+R_{4}}{R_{1}+R_{3}...
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0 0 answers
In a single-phase AC circuit, the power consumed by load resistance $R_{\mathrm{L}}$ for an excitation $V_{\mathrm{S}}$ is measured using a wattmeter. The same wattmeter ...
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Match the following sensors with their most suitable applications.$$\begin{array}{|l|l|l|l|} \hline & \textbf{Sensor} & & \textbf{Application} \\ \hline \text{P} & \text{...
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A $3\frac{1}{ 2}$ digit digital voltmeter has a specified accuracy of $\pm(0.5 \%+1)$. If it is used to measure $10 \:\mathrm{V}$ DC voltage, the error in the measurement...
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0 0 answers
The circuit shown in Figure (a) can be represented using its equivalent T-model as shown in Figure (b). The values of the inductances $L_{1}, L_{2}$, and $L_{3}$ in the e...
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Three parallel admittances $Y_{a}=-j 0.2 \mathrm{~S}, Y_{b}=0.3 \mathrm{~S}$, and $\quad Y_{c}=j 0.4 \mathrm{~S}$ connected in parallel with a voltage source $V_{s}=10 \a...
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0 0 answers
An oscilloscope has an input resistance of $1 \mathrm{M} \Omega$. A $10$ X passive attenuating probe is connected to it to increase the input voltage range as well as the...
0 0 votes
0 0 answers
For the transfer function $G(s)=1+\frac{2 s-1}{s^{3}+5 s^{2}+3 s+22}$, the number of zeros lying in the left half of the $s$-plane is$0$$1$$2$$3$
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Consider the control system block diagram given in Figure (a). The loop transfer function $G(s) \: H(s)$ does not have any pole on the $j \omega$-axis. The counterclockwi...
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A $60 \: \mathrm{V}$ DC source with an internal resistance $R_{\text{i n t}}=0.5 \: \Omega$ is connected through a switch to a pair of infinitely long rails separated by ...
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The circuits mentioned in the following options are realized using ideal opamp. Among these, the circuit(s) performing non-linear operation on the input signal is/areInst...
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If one of the eigenvectors of the matrix $A=\left[\begin{array}{cc}-1 & -1 \\ x & -4\end{array}\right]$ is along the direction of $\left[\begin{array}{c}\alpha \\ 2 \alph...
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Consider the function $f(z)=\frac{2 z+1}{z^{2}-z}$, where $z$ is a complex variable. The sum of the residues at singular points of $f(z)$ is ______________ (in integer).
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A dual-slope ADC has a fixed integration time of $100 \: \mathrm{ms}$. The reference voltage of the ADC is $-5 \: \mathrm{V}$. The time taken by the ADC to measure an inp...
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In the circuit shown, assume that the BJT in the circuit has very high $\beta$ and $V_{B E}=0.7 \mathrm{~V}$, and the Zener diode has $V_{Z}=4.7 \mathrm{~V}$. The current...
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