India is a country of rich heritage and cultural diversity. Which one of the following facts best supports the claim made in the above sentence? India is a union of $28$ states and $7$ union territories. India has a population of ... India is home to $22$ official languages and thousands of dialects. The Indian cricket team draws players from over ten states.
verbal-reasoning
The value of one U.S. dollar is $65$ Indian Rupees today, compared to $60$ last year. The Indian Rupee has ____________. depressed depreciated appreciated stabilized
'Advice' is ________________. a verb a noun an adjective both a verb and a noun
english-grammar
The next term in the series $81, 54, 36, 24, \dots$ is ________
In which of the following options will the expression $P < M$ be definitely true? $M < R > P > S$ $M > S < P < F$ $Q < M < F = P$ $P = A < R < M$
Find the next term in the sequence: $7G, 11K, 13M$,____ $15Q$ $17Q$ $15P$ $17P$
The multi-level hierarchical pie chart shows the population of animals in a reserve forest. The correct conclusions from this information are: Butterflies are birds There are more tigers in this forest than red ants All reptiles in this forest are either snakes or crocodiles Elephants are ... (ii), (iii) and (iv) (i), (iii) and (iv) only (i), (ii) and (iii) only
A man can row at $8$ $km$ per hour in still water. If it takes him thrice as long to row upstream, as to row downstream, then find the stream velocity in $km$ per hour.
boat-streams
A firm producing air purifiers sold $200$ units in $2012$. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in $2012$. The expenditure on labour ... a profit of Rs. $10$ lakhs in $2012$, at what price (in $Rs$.) was each air purifier sold?
A batch of one hundred bulbs is inspected by testing four randomly chosen bulbs. The batch is rejected if even one of the bulbs is defective. A batch typically has five defective bulbs. The probability that the current batch is accepted is ________
The maximum value of the function $f(x) = \text{ln } (1+x) – x $ (where $x >-1$) occurs at $x=$_______.
Which $ONE$ of the following is a linear non-homogeneous differential equation, where $x$ and $y$ are the independent and dependent variables respectively? $\frac{dy}{dx}+xy= e^{-x}$ $\frac{dy}{dx}+xy= 0$ $\frac{dy}{dx}+xy= e^{-y}$ $\frac{dy}{dx}+ e^{-y}= 0$
Match the application to appropriate numerical method. ... $P1-M3,P2-M1,P3-M4,P4-M2$ $P1-M4,P2-M1,P3-M3,P4-M2$ $P1-M2,P2-M1,P3-M3,P4-M4$
Milicevic3306 asked in Numerical Methods Mar 26, 2018
An unbiased coin is tossed an infinite number of times. The probability that the fourth head appears at the tenth toss is $0.067$ $0.073$ $0.082$ $0.091$
If $z= xy \text{ ln} (xy)$, then $x\frac{\partial z}{\partial x}+y\frac{\partial z}{\partial y}= 0 \\$ $y\frac{\partial z}{\partial x}= x\frac{\partial z}{\partial y} \\$ $x\frac{\partial z}{\partial x}= y\frac{\partial z}{\partial y} \\$ $y\frac{\partial z}{\partial x}+x\frac{\partial z}{\partial y}= 0$
partial-differential-equations
A series $RC$ circuit is connected to a $DC$ voltage source at time $t= 0$. The relation between the source voltage $V_{s},$ the resistance $R$, the capacitance $C$, and the current $i(t)$ is given below. $V_{s}= R \: i(t)+\frac{1}{c}\int ^{t}_{o}i(u)du$. Which one of the following represents the current $i(t)$?
In the figure shown, the value of the current $I$ (in Amperes) is __________.
In MOSFET fabrication, the channel length is defined during the process of isolation oxide growth channel stop implantation poly-silicon gate patterning lithography step leading to the contact pads
A thin $P$-type silicon sample is uniformly illuminated with light which generates excess carriers. The recombination rate is directly proportional to the minority carrier mobility the minority carrier recombination lifetime the majority carrier concentration the excess minority carrier concentration
At $T= 300 \: K$, the hole mobility of a semiconductor $\mu _{p}= 500$ $cm^{2}$/V-s$ and $\frac{kT}{q}= 26$ $mV$. The hole diffusion constant $D_{p}$ in $cm^{2}$/s$ is _________
The desirable characteristics of a transconductance amplifier are high input resistance and high output resistance high input resistance and low output resistance low input resistance and high output resistance low input resistance and low output resistance
In the circuit shown, the $PNP$ transistor has $\mid V_{BE} \mid = 0.7 \:V$ and $\beta = 50$. Assume that $R_{B}= 100 \: k \Omega$. For $V_{0}$ to be $5 \: V$, the value of $R_{C}$ (in $k \Omega$) is ________
p-n-p-transistor
The figure shows a half-wave rectifier. The diode $D$ is ideal. The average steady-state current (in Amperes) through the diode is approximately ___________.
An analog voltage in the range $0$ to $8$ V is divided in $16$ equal intervals for conversion to $4$-bit digital output. The maximum quantization error (in V) is __________
voltage-reference-circuits
The circuit shown in the figure is a Toggle Flip Flop JK Flip Flop SR Latch Master-Slave D Flip Flop
sequential-circuit
Consider the multiplexer based logic circuit shown in the figure. Which one of the following Boolean functions is realized by the circuit? $F= W \overline{S_1} \: \overline{S_2}$ $F= WS_1+WS_2 + S_{1}S_{2}$ $F= \overline{W}+S_{1}+S_{2}$ $F= W\oplus S_{1}\oplus S_{2}$
Let $x(t)= \cos(10\pi t)+\cos(30\pi t)$ be sampled at $20 Hz$ and reconstructed using an ideal low-pass filter with cut-off frequency of $20 Hz$. The frequency/frequencies present in the reconstructed signal is/are $5$ Hz and $15$ Hz only $10$ Hz and $15$ Hzonly $5$ Hz, $10$ Hz and $15$Hz only $5$ Hz only
cut-off-frequency
For an all-pass system $H(z)= \frac{(z^{-1}-b)}{(1-az^{-1})}$, where $\mid H(e^{-j\omega }) \mid= 1,$ for all $\omega$. If $\text{Re}(a)\neq 0, \: \text{Im}(a)\neq 0,$then $b$ equals $a$ $a^{*}$ $1/a^{*}$ $1/a$
A modulated signal is $y(t)= m(t)\cos(40000\pi t)$, where the baseband signal $m(t)$ has frequency components less than $5$ KHz only. The minimum required rate (in KHz) at which $y(t)$ should be sampled to recover $m(t)$ is _______.
digital-communications
Consider the following block diagram in the figure. The transfer function $\frac{C(s)}{R(s)}$ is $\frac{G_{1}G_{2}}{1+G_{1}G_{2}}$ $G_{1}G_{2}+G_{1}+1$ $G_{1}G_{2}+G_{2}+1$ $\frac{G_{1}}{1+G_{1}G_{2}}$
transfer-function
The input $-3e^{2t}u(t),$ where $u(t)$ is the unit step function, is applied to a system with transfer function $\frac{s-2}{s+3}.$ If the initial value of the output is $-2$, then the value of the output at steady state is _______.
The phase response of a passband waveform at the receiver is given by $\varphi (f)= -2\pi \alpha (f-f_{c})-2\pi \beta f_{c}$ where $f_{c}$ is the centre frequency, and $\alpha$ and $\beta$ are positive constants. The actual signal propagation delay from the ... $\frac{\alpha\beta }{\alpha +\beta } \\$ $\alpha \\$ $\beta$
Consider an $FM$ signal $f(t)= \cos\left [ 2\pi f_{c} t+\beta _{1}\sin2\pi f_{1}t+\beta _{2}\sin2\pi f_{2}t\right ].$ The maximum deviation of the instantaneous frequency from the carrier frequency $f_{c}$ is $\beta _{1}f_{1}+\beta _{2}f_{2}$ $\beta _{1}f_{2}+\beta _{2}f_{1}$ $\beta _{1}+\beta _{2}$ $f _{1}+f _{2}$
frequency-modulation
Consider an air filled rectangular waveguide with a cross-section of $5 \: cm \times 3 \: cm $. For this waveguide, the cut-off frequency (in MHz) of $TE_{21}$ mode is __________.
In the following figure, the transmitter $Tx$ sends a wideband modulated $RF$ signal via a coaxial cable to the receiver $Rx$. The output impedance $Z_{T}$ of $Tx$, the characteristic impedance $Z_{0}$ of the cable and the input impedance ... $Z_{R}\neq Z_{0}$ Impedance mismatches do NOT result in signal distortion but reduce power transfer efficiency
The maximum value of $f(x)$= $2x^{3}$ – $9x^{2}$ + $12x – 3$ in the interval $0\leq x\leq 3$ is _______.
Which one of the following statements is NOT true for a square matrix $A$? If $A$ is upper triangular, the eigenvalues of $A$ are the diagonal elements of it If $A$ is real symmetric, the eigenvalues of $A$ are always real and positive If $A$ ... $A$ are positive, all the eigenvalues of $A$ are also positive
Milicevic3306 asked in Linear Algebra Mar 26, 2018
linear-algebra
eigen-values
A fair coin is tossed repeatedly till both head and tail appear at least once. The average number of tosses required is _______ .
Let $X_{1},X_{2},$ and $X_{3}$ be independent and identically distributed random variables with the uniform distribution on $[0,1]$. The probability $P\left \{ X_{1}+X_{2}\leq X_{3}\right \}$ is _________.
independent-events
uniform-distribution
In the circuit shown in the figure, the value of node voltage $V_{2}$ is $22+j$ $2$ $V$ $2 +j$ $22$ $V$ $22 -j$ $2$ $V$ $2 -j$ $22$ $V$
node-voltage