Questions by Milicevic3306

An apple costs Rs.$10$. An onion costs Rs.$8$.Select the most suitable sentence with respect to grammar and usage.The price of an apple is greater than an onion.The price...

The Buddha said, “Holding on to anger is like $\underline{\text{grasping}}$ a hot coal with the intent of throwing it at someone else; you are the one who gets burnt. ”Se...

$M$ has a son $Q$ and a daughter $R.$ He has no other children. $E$ is the mother of $P$ and daughter-in-law of $M.$ How is $P$ related to $M?$$P$ is the son-in-law of $M...

The number that least fits this set$:(324,441,97$ and $64)$ is$324$$441$$97$$64$

It takes $10$s and $15$s, respectively, for two trains traveling at a different constant speeds to completely pass a telegraph post. The length of the first train is $120...

The velocity $V$ of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the $7$ seconds, how much will ...

The overwhelming number of people infected with rabies in India has been flagged by the World Health Organization as a source of concern. It is estimated that inoculating...

A flat is shared by four first-year undergraduate students. They agreed to allow the oldest of them to enjoy some extra space in the flat. Manu is two months older than S...

Find the area bounded by the lines $3x+2y=14$, $2x-3y=5$ in the first quadrant.$14.95$$15.25$$15.70$$20.35$

A straight line is fit to a data set $(\text{ln }x,y).$ This line intercepts the abscissa at $\text{ln } x =0.1$ and has a slope of $-0.02$. What is the value of $y$ at $...

A straight line of the form $y=mx+c$ passes through the origin and the point $(x,y)$ =$(2,6)$. The value of $m$ is _____.

$\underset{n\rightarrow \infty }{\lim}\:\left(\sqrt{n^2+n}-\sqrt{n^2+1}\right)$ is __________.

A voltage $V_1$ is measured $100$ times and its average and standard deviation are $100$ V and $1.5$ V respectively. A second voltage $V_2$, which is independent of $V_1...

The vector that is $NOT$ perpendicular to the vectors $(i+j+k)$ and $(i+2j+3k)$ is ______.$(i-2j+k)$ $(-i+2j-k)$$(0i+0j+0k)$$(4i+3j+5k)$

In the neighborhood of $z=1$, the function $f(z)$ has a power series expansion of the form $f(z)$ = $1$ + $(1-z)$ + $(1-z)^2+ \ldots$Then $f(z)$ is$\frac{1}{z}$$\frac{-1}...

Three currents $i_1, i_2$ and $i_3$ meet at a node as shown in the figure below. If $i_1=3\cos(\omega t)$ ampere, $i_2=4\sin(\omega t)$ ampere and $i_3=I_3\cos(\omega t+\...

An air cored coil has a $Q$ of $5$ at a frequency of $100$ kHz. The $Q$ of the coil at $20$ kHz (neglecting skin effect) will be ________.

A current $i(t)$ shown in the figure below is passed through a $\text{1 F}$ capacitor that had zero initial charge. The voltage across the capacitor for $t>2s$ in $volt$ ...

The signal $x[n]$ shown in the figure below is convolved with itself to get $y[n]$. The value of $y[-1]$ is $\_\_\_\_\_\_\_\_.$

In the circuit shown below $ (v_1+v_2) =[1\; \sin(2\pi10000t)] + 1\;\sin(2\pi30000t)] \;V.$ The $RMS$ value of the current through the resistor $R$ will be minimum if th...

If $X(s)$, the Laplace transform of signal $x(t)$ is given by $X(s) = \frac{(s+2)}{(s+1)(s+3)^2}$, then the value of $x(t)$ as $t\rightarrow \infty$ is ______.

The number of times the Nyquist plot of $G(s)= \frac{s-1}{s+1}$ will encircle the origin clockwise is _______.

The value of $a_0$ which will ensure that the polynomial $s^3$ + $3s^2$ + $2s$ + $a_0$ has roots on the left half of the $s$-plane is$11$$9$$7$$5$

The input $i(t)$ = $2\sin(3t+\pi)$ is applied to a system whose transfer function $G(s)=\frac{8}{(s+10)^2}$.The amplitude of the output of the system is _______.

The diode $D$ used in the circuit below is ideal. The voltage drop $V_{ab}$ across the $1\;k\Omega$ resistor in $\text{volt}$ is $\_\_\_\_\_\_\_\_.$

In the circuit given below, the opamp is ideal. The output voltage $V_o$ in volt is $\_\_\_\_\_\_\_\_.$

In the circuit given below, the diodes $D_1$ and $D_2$ have a forward voltage drop of $0.6\;V$. The opamp used is ideal.The $\text{magnitude}$ of the negative peak value ...

The Boolean expression $XY+(X’+Y’)Z$ is equivalent to$XYZ’+X’Y’Z$$X’Y’Z’+XYZ$$(X+Z)(Y+Z)$$(X’+Z)(Y’+Z)$

In the digital circuit given below, $F$ is$XY+Y\overline{Z}$$XY+\overline{Y}Z$$\overline{X}\overline{Y}+Y\overline{Z}$$XZ+\overline{Y}$

A $3\frac{1}{2}$ digit $DMM$ has an accuracy specification of $\pm 1$% of full scale (accuracy class $1$). A reading of $\text{100.0 mA}$ is obtained on its $\text{200 m...

A dc potentiometer, shown in figure below, is made by connecting fifteen $10\Omega$ resistors and a $10\Omega$ slide wire of length $\text{1000 mm}$ in series. The potent...

In the circuit given below, each input terminal of the opamp draws a bias current of $\text{10 nA}$. The effect due to these input bias currents on the output voltage $V_...

A peizo-electric type pressure sensor has a sensitivity of $\text{1 mV/kPa}$ and a bandwidth of $\text{300 Hz to 300 kHz.}$ For a constant (dc) pressure of $\text{100 kPa...

The signal $m(t)=cos(\omega_mt)$ is $SSB$ (single side-band) modulated with a carrier $\cos(\omega_ct)$ to get $s(t)$. The signal obtained by passing $s(t)$ through an id...

Let $s(t)=rect\left(\frac{t-3}{3}\right)$ be a signal passed through an $AWGN$ (additive white Gaussian noise) channel with noise power spectral density $(PSD)$ $\frac{N_...

Let $f: [-1,1]\rightarrow \mathbb{R}$, where $f(x)=2x^3-x^4-10$. The minimum value of $f(x)$ is $\_\_\_\_\_\_\_.$

An urn contains $5$ red and $7$ green balls. A ball is drawn at random and its color is noted. The ball is placed back into the urn along with another ball of the same co...

Consider the matrix $A= \begin{pmatrix} 2 & 1 & 1\\ 2& 3& 4\\ -1& -1 & -2 \end{pmatrix} $ whose eigenvalues are $1, -1$ and $3$. Then Trace of $(A^3-3A^2)$ is $\_\_\_\_\_...

The relationship between the force $f(t)$ and the displacement $x(t)$ of a spring-mass system (with a mass $M$, viscous damping $D$ and spring constant $K$) is$$M\frac{d^...

The value of the integral $\displaystyle{}\frac{1}{2\pi j}\int_c \frac{Z^2+1}{Z^2-1}dz$ where $z$ is a complex number and $C$ is a unit circle with center at $1+0j$ in th...