The fisherman, ________ the flood victims owed their lives, were rewarded by the government. whom to which to whom that
Some students were not involved in the strike. If the above statement is true, which of the following conclusions is/are logically necessary? Some who were involved in the strike were students. No student was involved in the strike. At least one student was involved in the strike. Some who were not involved in the strike were students. $1$ and $2$ $3$ $4$ $2$ and $3$
The radius as well as the height of a circular cone increases by $10\%.$ The percentage increase in its volume is ________. $17.1$ $21.0$ $33.1$ $72.8$
Five numbers $10,7,5,4$ and $2$ are to be arranged in a sequence from left to right following the directions given below: No two odd or even numbers are next to each other. The second number from the left is exactly half of the left-most number. The middle number is exactly twice the right-most number. Which is the second number from the right? $2$ $4$ $7$ $10$
Until Iran came along, India had never been ___________ in Kabaddi. defeated defeating defeat defeatist
Since the last one year after a $125$ basis point reduction in repo rate by the Reserve Bank Of India, banking institutions have been making a demand to reduce interest rates on small saving schemes. Finally, the government announced yesterday a reduction in interest ... A reduction in interest rates on small savings scheme follow only after a reduction in repo rate by the Reserve Bank Of India
In a country of $1400$ million population, $70\%$ own mobile phones. Among the mobile phone owners, only $294$ million access the Internet. Among these Internet users, only half buy goods from e-commerce portals. What is the percentage of these buyers in the country? $10.50$ $14.70$ $15.00$ $50.00$
The nomenclature of Hindustani music has changed over the countries. Since the medieval period, dhrupad styles were identified as baanis. Terms like gayaki and baaj were used to refer to vocal and instrumental styles, respectively. With the institutionalization of ... disciples. Which one of the following pairings is NOT correct? dhrupad, baani gayaki, vocal baaj, institution gharana, lineage
two trains started at $7$AM from the same point. The first train travelled north at a speed of $80$km/h and the second train travelled south at a speed of $100$km/h. The time at which they were $540$ km apart is ________ AM. $9$ $10$ $11$ $11.30$
I read somewhere that in ancient times the prestige of a kingdom depended upon the number of taxes that it was able to levy on its people. It was very much like the prestige of a head-hunter in his own community. Based on the paragraph above, the ... upon ______________ the prestige of the kingdom the prestige of the heads the number of taxes he could levy the number of heads he could gather
$\overrightarrow{a}$,$\overrightarrow{b}$,$\overrightarrow{c}$ are three orthogonal vectors. Given that $\overrightarrow{a}$ = ${\widehat{i}}$ + 2${\widehat{j}}$ + 5${\widehat{k}}$ and $\overrightarrow{b}$ = ${\widehat{i}}$ + 2${\widehat{j}}$ - ${\widehat{k}}$, the vector ... to $\widehat{i}+2\widehat{j}+3\widehat{k}$ $2\widehat{i} + \widehat{j}$ $2\widehat{i} - \widehat{j}$ $4\widehat{k}$
The vector function $\overrightarrow{A}$ is given by $\overrightarrow{A}$ = $\overrightarrow{\bigtriangledown}$u , where u(x, y) is a scalar function. Then |$\overrightarrow{\bigtriangledown}$ x $\overrightarrow{A}$| is -1 0 1 $\infty$
A ball has 8 red balls and 8 green balls. Two balls are drawn randomly in succession from the box without replacement. The probability that the first ball drawn is red and the second ball drawn is green is 4/15 7/16 ½ 8/15
In the Figures (a) and (b) shown below, the transformers are identical and ideal ,except that the transformer in Figure (b) is centre -tapped. Asssuming ideal diodes, the ratio of the root mean-square (RMS) voltage across the resistor R in Figure (a) to that in figure (b) is $\sqrt{2}$: 1 2: 1 2$\sqrt{2}$ : 1 4:1
The output y(t) of a system is related to its input x(t) as y(t) = ${\displaystyle \int^t_0}$x(t – 2)dt, where, x(t) =0 and y(t) = 0 for t $\le$ 0. The transfer function of the system is $\frac{1}{s}$ $\frac{(1-e^{-2s})}{s}$ $\frac {e^{-2s}}{s}$ $\frac{1}{s} – e^{-2s}$
The input x[n] and output y[n] of a discrete-time system are related as y[n] = $\alpha$y[n – 1] + x[n]. The condition of $\alpha$ for which the system is Bounded-Input Bounded-Output (BIBO) stable is |$\alpha$| < 1 |$\alpha$| = 1 |$\alpha$| > 1 |$\alpha$| < 3/2
In a cascade control system, the closed loop transfer function of the inner loop may be assumed to have a single time-constant $\tau${_1}$. Similarly, the closed loop transfer function of the outer loop may be assumed to have a single time constant$\tau${_2}$ ... ${_2}$ $\tau${_1}$is much greater than$\tau${_2}$ $\tau${_1}$is independent of$\tau${_2}$
The loop-gain function L(s) of a control system with unity feedback is given to be L(s) = $\frac{k}{(s + 1)(s + 2)(s + 3)}$, where k >0. If the gain cross-over frequency of the loop-gain function is less than its phase cross-over frequency, the closed-loop system is unstable marginally stable conditionally stable stable
If each of the values of inductance, capacitance and resistance of a series LCR circuit are doubled, the Q-factor of the circuit would reduce by a factor $\sqrt{2}$ reduce by a factor 2 increase by a factor $\sqrt{2}$ increase by a factor 2
In the circuit shown below, the input voltage V${_i}{_m}$ is positive. The current (I0 - voltage(V) characteristics of the diode can be assumed to be I = I${_0}$e$^{v/vr}$ under the forward bias condition, where V${_T}$ is the thermal voltage and i${_0}$ is the reverse saturation current. Assuming an ideal op ... to log${_e}$(V${_i}{_n}/V{_T}$) 2V{_i}{_n} e$^{V}{_i}{_n}/^{V}{T}$ V$^{2}{_i}{_n}$
The correct biasing conditions for typical operation of light emitting diodes, photodiodes, Zener diodes are , respectively forward bias, reverse bias, reverse bias reverse bias, reverse bias, forward bias forward bias, forward bias, reverse bias reverse bias, forward bias, reverse bias
The circuit shown in the figure below uses ideal positive edge-triggered synchronous J-K flip flops with outputs X and Y. If the initial state of the output is X =0 and Y =0 just before the arrival of the first clock pulse, the state of the output just before arrival of the second clock pulse is X=0, Y=0 X=0, Y=1 X=1, Y=0 X=1, Y=1
Thermocouples measure temperature based on Photoelectric effect Seebeck effect Hall effect Thermal expansion
Four strain guages in a Wheatstone bridge configuration are connected to an instrumenatation amplifier as shown in the figure. From the choices given below, the preferred value for the common mode rejection ratio(CMRR) of the amplifier, in dB, would be -20 0 3 100
In a single-mode optical fiber, the zero-dispersion wavelength refers to the wavelength at which the material dispersion is zero. waveguide dispersion is zero. sum of material dispersion and waveguide dispersion is zero. material dispersion and waveguide dispersion are simultaneously zero.
A 3 x 3 matrix has eigenvalues 1, 2 and 5. The determinant of the matrix is $\_\_\_\_$.
In the circuit shown below, maximum power is transferred to the load resistance R${_L}$, when R${_L}$ = $\_\_\_\_$ $\Omega$.
Consider a circuit comprising only resistors with constant resistance and ideal independent DC voltage sources. If all the resistances are scaled down by a factor 10, and all source voltages are scaled up by a factor 10, the power dissipated in the circuit scles up by a factor of $\_\_\_\_\_\_$.
In the circuit shown below, initially the switch S${_1}$ is open, then capacitor C1 has a charge of 6 coulomb, and the capacitor C2 has 0 coulomb. After s${_1}$ is closed, the charge on C2 in steady state is $\_\_\_\_\_$ coulomb.
An 8-bit weighted resistor digital-to-analog converter(DAC) has the smallest resistance of 500 $\Omega$. The largest resistance has a value $\_\_\_\_$ k$\Omega$.
The total number of Boolean functions with distinct truth-tables that can be defined over 3 Boolean variables is $\_\_\_\_$.
The figure below shows the i $^{th}$ full-adder block of a binary adder circuit. C${_i}$ is the input carry and C${_i}{_+}{_1}$ is the output carry of the circuit. Assume that each logic gate has a delay of 2 nanosecond, with no additional time delay due to the interconnecting ... maximum time taken for an input C${_i}$ to produce a steady-state output C${_i}{_+}{_1}$ is $\_\_\_\_$ nanosecond.
The resistance of a resistor is measured using a voltmeter and an ammeter. The voltage measurements have a mean value of 1 V and standard deviation of 0.12 V while current measurements have a mean value of 1 mA with standard deviation of 0.05 mA. Assuming that ... in voltage and current measurements are independent, the standard deviation of the calculated resistance value is $\_\_\_\_$ $\Omega$.
A pitot-static tube is used to estimate the velocity of an incompressible fluid of density 1 kg/m$^{3}$. If the pressure differences measured by the tube is 200 N/m$^{2}$, the velocity of the fluid, assuming the pitot-tube coefficient to be 1.0, is $\_\_\_\_$m/s.
A signal cos(2$\pi$f${_m}$t) modulates a carrier cos(2$\pi$f${_c}$t) using the double -side-with-carrier (DSDWC) scheme to yield a modulated signal cos(2$\pi$f${_c}$t) + 0.3 co(s2$\pi$f${_m}$t) cos2$\pi$f${_c}$t. The modulation index is $\_\_\_\_\_$ .(Answer should br rounded off to one decimal place)
The curve y = f(x) is such that the tangent to the curve at every point (x,y) has a y-axis intercept c, given by c = -y. Then,f(x) is proportional to x$^{-1}$ x$^{2}$ x$^{3}$ x$^{4}$
The function p(x) is given by p(x) = A/x$^\mu$ where A and $\mu$ are constants with $\mu$ > 1 and 1 $\le$ x <$\infty$ and p(x) = 0 for -$\infty$ < x <1. For p(x) to be a probability density function, the value of A should be equal to $\mu$ – 1 $\mu$ + 1 1/($\mu$ – 1) 1/($\mu$ +1)
The dynamics of the state $\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ of a sytem is governed by the differential equation $\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ = $\begin{bmatrix}1 & 2 \\-3 & -4\end{bmatrix}$\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$+$\ ... $\begin{bmatrix}-20 \\-10\end{bmatrix}$ $\begin{bmatrix}5\\-15\end{bmatrix}$ $\begin{bmatrix}50 \\-35\end{bmatrix}$
A complex function f(z) = u(x,y) + i v(x,y) and its complex conjugate f*(z) = u(x,y) – i v(x,y) are both analytic in the entire complex plane, where z = x + i y and i = $\sqrt{-1}$. The function f is then given by f(z) = x + i y f(z) = x$^{2}$ – y$^{2}$ + i 2xy f(z) = constant f(z) = x$^{2}$ + y$^{2}$
In a control system with unity gain feedback, the plant has the transfer function P(s) = 3/s. Assuming that a controller of the form C(s) = K/(s + p) is used, where K is a positive constant, the value of p for which the root-locus of the closed-loop system passes through the points -3$\pm$j3$\sqrt{3}$ where j = $\sqrt{-1}$, is 3 3$\sqrt{3}$ 6 9