Questions by Milicevic3306 / GO Electronics

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161

GATE ECE 2016 Set 1 | Question: 21
Consider binary data transmission at a rate of $56$ kbps using baseband binary pulse amplitude modulation (PAM) that is designed to have a raised-cosine spectrum. The transmission bandwidth (in kHz) required for a roll-off factor of $0.25$ is ________

Consider binary data transmission at a rate of $56$ kbps using baseband binary pulse amplitude modulation (PAM) that is designed to have a raised-cosine spectrum. The tra...

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162

GATE ECE 2016 Set 1 | Question: 22
A superheterodyne receiver operates in the frequency range of $58$ MHz – $68$ MHz. The intermediate frequency $f_{IF}$ and local oscillator frequency $f_{LO}$ are chosen such that $f_{IF} \leq f_{LO}$. It is required that the image frequencies fall outside the $58$ MHz – $68$ MHz band. The minimum required $f_{IF}$ (in MHz) is _________

A superheterodyne receiver operates in the frequency range of $58$ MHz – $68$ MHz. The intermediate frequency $f_{IF}$ and local oscillator frequency $f_{LO}$ are cho...

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163

GATE ECE 2016 Set 1 | Question: 23
The amplitude of a sinusoidal carrier is modulated by a single sinusoid to obtain the amplitude modulated signal $s(t) = 5 \cos1600 \pi t + 20 \cos 1800 \pi t + 5 \cos 2000 \pi t$. The value of the modulation index is _________

The amplitude of a sinusoidal carrier is modulated by a single sinusoid to obtain the amplitude modulated signal $s(t) = 5 \cos1600 \pi t + 20 \cos 1800 \pi t + 5 \cos 2...

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164

GATE ECE 2016 Set 1 | Question: 24
Concentric spherical shells of radii $2$m, $4$m, and $8$ m carry uniform surface charge densities of $20 \: nC/m^2$, $ – 4 \: nC/m^2$ and $\rho_s$ respectively. The value of $\rho_s$ ($nC/m^2$) required to ensure that the electric flux density $\overrightarrow D$ = $\overrightarrow 0$ at radius $10$ m is ________

Concentric spherical shells of radii $2$m, $4$m, and $8$ m carry uniform surface charge densities of $20 \: nC/m^2$, $ – 4 \: nC/m^2$ and $\rho_s$ respectively. The val...

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165

GATE ECE 2016 Set 1 | Question: 25
The propagation constant of a lossy transmission line is $(2+j5) m^{-1}$ and its characteristic impedance is $(50+j0) \Omega$ at $\omega = 10^6 rad \: s^{-1}$ ... $L = 250 \: \mu H/m, C = 0.2 \: \mu F/m, R=50 \: \Omega /m, \: G=0.04 \: S/m$

The propagation constant of a lossy transmission line is $(2+j5) m^{-1}$ and its characteristic impedance is $(50+j0) \Omega$ at $\omega = 10^6 rad \: s^{-1}$. The values...

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166

GATE ECE 2016 Set 1 | Question: 26
The integral $\frac{1}{2\pi} \iint_D(x+y+10) \,dx\,dy$, where $D$ denotes the disc: $x^2+y^2\leq 4$,evaluates to _________

The integral $\frac{1}{2\pi} \iint_D(x+y+10) \,dx\,dy$, where $D$ denotes the disc: $x^2+y^2\leq 4$,evaluates to _________

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167

GATE ECE 2016 Set 1 | Question: 27
A sequence $x[n]$ is specified as $\begin{bmatrix}x[n] \\x[n – 1]\end{bmatrix}=\begin{bmatrix}1&1\\1&0\end{bmatrix}^n\begin{bmatrix}1\\0\end{bmatrix}$,for $n \geq 2$. The initial conditions are $x[0] = 1$, $x[1] = 1$, and $x[n] = 0$ for $n < 0$. The value of $x[12]$ is _________

A sequence $x[n]$ is specified as $\begin{bmatrix}x[n] \\x[n – 1]\end{bmatrix}=\begin{bmatrix}1&1\\1&0\end{bmatrix}^n\begin{bmatrix}1\\0\end{bmatrix}$,for $n \geq 2$.Th...

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168

GATE ECE 2016 Set 1 | Question: 28
In the following integral, the contour $C$ encloses the points $2 \pi j$ and $- 2\pi j$ $-\frac{1}{2\pi}\oint_C\frac{\sin z}{(z-2\pi j)^3} \,dz$ The value of the integral is _________

In the following integral, the contour $C$ encloses the points $2 \pi j$ and $- 2\pi j$ $$-\frac{1}{2\pi}\oint_C\frac{\sin z}{(z-2\pi j)^3} \,dz$$The value of the integra...

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169

GATE ECE 2016 Set 1 | Question: 29
The region specified by $\{ (\rho,\varphi,z):3 \leq\rho\leq 5,\frac{\pi}{8}\leq\varphi\leq\frac{\pi}{4}, \: 3\leq z\leq4.5\}$ in cylindrical coordinates has volume of _________

The region specified by $\{ (\rho,\varphi,z):3 \leq\rho\leq 5,\frac{\pi}{8}\leq\varphi\leq\frac{\pi}{4}, \: 3\leq z\leq4.5\}$ in cylindrical coordinates has volume of ___...

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170

GATE ECE 2016 Set 1 | Question: 30
The Laplace transform of the casual periodic square wave of period $T$ shown in the figure below is $F(S) = \frac{1}{1+e^{-sT/2}} \\$ $F(S) =\frac{1}{s(1+e^{-sT/2})} \\$ $F(S) = \frac{1}{s(1-e^{-sT})} \\$ $F(S) = \frac{1}{1-e^{-sT}}$

The Laplace transform of the casual periodic square wave of period $T$ shown in the figure below is$F(S) = \frac{1}{1+e^{-sT/2}} \\$$F(S) =\frac{1}{s(1+e^{-sT/2})} \\$$F(...

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171

GATE ECE 2016 Set 1 | Question: 31
A network consisting of a finite number of linear resistor (R), inductor (L), and capacitor (C) elements, connected all in series or all in parallel, is excited with a source of the form ... $\sum_{k=1}^{3} a_k\cos(k\omega_0t+\phi_k) \\$ $\sum_{k=1}^{2} a_k\cos(k\omega_0t+\phi_k)$

A network consisting of a finite number of linear resistor (R), inductor (L), and capacitor (C) elements, connected all in series or all in parallel, is excited with a so...

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172

GATE ECE 2016 Set 1 | Question: 32
A first-order low-pass filter of time constant $T$ is excited with different input signals (with zero initial conditions up to $t = 0$). Match the excitation signals $X, Y, Z$ with the corresponding time responses for $t \geq 0 $ ... $X \to R, \: Y\to P, \: Z \to Q$ $X \to P, \: Y\to R, \: Z \to Q$

A first-order low-pass filter of time constant $T$ is excited with different input signals (with zero initial conditions up to $t = 0$). Match the excitation signals $X, ...

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173

GATE ECE 2016 Set 1 | Question: 33
An AC voltage source $V = 10 \sin(t)$ volts is applied to the following network. Assume that $R_1 = 3 k\Omega$, $R_2 = 6 k\Omega$ and $R_3 = 9k\Omega$, and that the diode is ideal. RMS current $I_{rms}$(in mA) through the diode is _______

An AC voltage source $V = 10 \sin(t)$ volts is applied to the following network. Assume that $R_1 = 3 k\Omega$, $R_2 = 6 k\Omega$ and $R_3 = 9k\Omega$, and that the diode...

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174

GATE ECE 2016 Set 1 | Question: 34
In the circuit shown in the figure, the maximum power (in watt) delivered to the resistor $R$ is _______

In the circuit shown in the figure, the maximum power (in watt) delivered to the resistor $R$ is _______

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175

GATE ECE 2016 Set 1 | Question: 35
Consider the signal $x[n] = 6 \delta[n + 2] + 3 \delta[n + 1] + 8 \delta[n] + 7 \delta[n - 1] + 4 \delta[n - 2]$ If $X(e^{jw})$ is the discrete-time Fourier transform of $x[n]$, then $\frac{1}{\pi} \int\limits_{-\pi}^{\pi} X(e^{jw}) \sin^2(2\omega) d\omega$ is equal to _______

Consider the signal $$x[n] = 6 \delta[n + 2] + 3 \delta[n + 1] + 8 \delta[n] + 7 \delta[n - 1] + 4 \delta[n - 2]$$ If $X(e^{jw})$ is the discrete-time Fourier transform o...

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176

GATE ECE 2016 Set 1 | Question: 36
Consider a silicon $p-n$ junction with a uniform acceptor doping concentration of $10^{17} cm^{-3}$ on the $p$-side and a uniform donor doping concentration of $10^{16}cm^{-3}$ on the $n$ ... $nC \: cm^{-2}$) in the depletion region on the $p$-side is _________

Consider a silicon $p-n$ junction with a uniform acceptor doping concentration of $10^{17} cm^{-3}$ on the $p$-side and a uniform donor doping concentration of $10^{16}cm...

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177

GATE ECE 2016 Set 1 | Question: 37
Consider an $n$-channel metal oxide semiconductor field effect transistor (MOSFET) with a gate-to-source voltage of $1.8$ V. Assume that $\frac{W}{L}=4$, $\mu_NC_{ox}= 70 \times 10^{-6} AV^{-2}$ ... channel length modulation parameter is $0.09 \: V^{-1}$. In the saturation region, the drain conductance (in micro siemens) is _________

Consider an $n$-channel metal oxide semiconductor field effect transistor (MOSFET) with a gate-to-source voltage of $1.8$ V. Assume that $\frac{W}{L}=4$, $\mu_NC_{ox}= 70...

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178

GATE ECE 2016 Set 1 | Question: 38
The figure below shows the doping distribution in a $p$-type semiconductor in log scale. The magnitude of the electric field (in $kV/cm$) in the semiconductor due to non uniform doping is _________

The figure below shows the doping distribution in a $p$-type semiconductor in log scale.The magnitude of the electric field (in $kV/cm$) in the semiconductor due to non u...

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179

GATE ECE 2016 Set 1 | Question: 39
Consider a silicon sample at $T = 300 \: K$, with a uniform donor density $N_d = 5 \times 10 ^{16} cm^{-3}$ , illuminated uniformly such that the optical generation rate is $G_{opt}=1.5 \times 10^{20} cm^{-3}s^{-1}$ throughout the sample. The incident radiation is turned ... $3.73 \times 10^{11}cm^{-3}$ $7.5 \times 10^{13}cm^{-3}$ and $4.12 \times 10^{11}cm^{-3}$

Consider a silicon sample at $T = 300 \: K$, with a uniform donor density $N_d = 5 \times 10 ^{16} cm^{-3}$ , illuminated uniformly such that the optical generation rate ...

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180

GATE ECE 2016 Set 1 | Question: 40
An ideal opamp has voltage sources $V_1, V_3, V_5, \dots, V_{N-1}$ connected to the non-inverting input and $V_2, V_4, V_6, \dots, V_N$ connected to the inverting input as shown in the figure below $(+V_{CC}= 15$ volt, $ - V_{CC} = - 15$ volt ... $N$ approaches infinity, the output voltage (in volt) is _________

An ideal opamp has voltage sources $V_1, V_3, V_5, \dots, V_{N-1}$ connected to the non-inverting input and $V_2, V_4, V_6, \dots, V_N$ connected to the inverting input a...

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181

GATE ECE 2016 Set 1 | Question: 41
A $p-i-n$ photodiode of responsivity $0.8 \: A/W$ is connected to the inverting input of an ideal opamp as shown in the figure, $+V_{CC}= 15 V, \: – V_{CC} = – 15 V$, Load resistor $R_L=10k\Omega$. If $10 \mu W$ of power is incident on the photodiode, then the value of the photocurrent(in $\mu A$) through the load is _________

A $p-i-n$ photodiode of responsivity $0.8 \: A/W$ is connected to the inverting input of an ideal opamp as shown in the figure, $+V_{CC}= 15 V, \: – V_{CC} = – 15 V$...

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182

GATE ECE 2016 Set 1 | Question: 42
Identify the circuit below. Binary to Gray code converter Binary to XS3 converter Gray to Binary converter XS3 to Binary converter

Identify the circuit below.Binary to Gray code converterBinary to XS3 converterGray to Binary converterXS3 to Binary converter

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183

GATE ECE 2016 Set 1 | Question: 43
The functionality implemented by the circuit below is $2$-to-$1$ multiplexer $4$-to-$1$ multiplexer $7$-to-$1$ multiplexer $6$-to-$1$ multiplexer

The functionality implemented by the circuit below is$2$-to-$1$ multiplexer $4$-to-$1$ multiplexer$7$-to-$1$ multiplexer$6$-to-$1$ multiplexer

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184

GATE ECE 2016 Set 1 | Question: 44
In an $8085$ system, a PUSH operation requires more clock cycles than a POP operation. Which one of the following options is the correct reason for this? For POP, the data transceivers remain in the same direction as for instruction fetch ... in the stack pointer. Order of registers has to be interchanged for a PUSH operation, whereas POP uses their natural order.

In an $8085$ system, a PUSH operation requires more clock cycles than a POP operation. Which one of the following options is the correct reason for this?For POP, the data...

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185

GATE ECE 2016 Set 1 | Question: 45
The open-loop transfer function of a unity-feedback control system is $G(s)= \frac{K}{s^2+5s+5}$. The value of $K$ at the breakaway point of the feedback contol system’s root-locus plot is _________

The open-loop transfer function of a unity-feedback control system is $$G(s)= \frac{K}{s^2+5s+5}$$. The value of $K$ at the breakaway point of the feedback contol system�...

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186

GATE ECE 2016 Set 1 | Question: 46
The open-loop transfer function of a unity feedback control system is given by $G(s)= \frac{K}{s(s+2)}$. For the peak overshoot of the closed-loop system to a unit step input to be $10 \%$, the value of $K$ is _________

The open-loop transfer function of a unity feedback control system is given by $$G(s)= \frac{K}{s(s+2)}$$. For the peak overshoot of the closed-loop system to a unit step...

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187

GATE ECE 2016 Set 1 | Question: 47
The transfer function of a linear time invariant system is given by $H(s) = 2s^4 – 5s^3 + 5s -2$. The number of zeroes in the right half of the $s$-plane is _________

The transfer function of a linear time invariant system is given by $H(s) = 2s^4 – 5s^3 + 5s -2$. The number of zeroes in the right half of the $s$-plane is _________

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188

GATE ECE 2016 Set 1 | Question: 48
Consider a discrete memoryless source with alphabet $S = \{s_0,s_1,s_2,s_3,s_4, \dots \}$ and respective probabilities of occurence $P = \bigg\{ \frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{1}{16}, \frac{1}{32}, \dots \bigg\}$. The entropy of the source (in bits) is _________

Consider a discrete memoryless source with alphabet $S = \{s_0,s_1,s_2,s_3,s_4, \dots \}$ and respective probabilities of occurence $P = \bigg\{ \frac{1}{2}, \frac{1}{4},...

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189

GATE ECE 2016 Set 1 | Question: 49
A digital communication system uses a repetition code for channel encoding/decoding. During transmission, each bit is repeated three times ($0$ is transmitted as $000$, and $1$ is transmitted as $111$). It is assumed that the source puts ... a $1$. Assuming a binary symmetric channel with crossover probability $p=0.1$, the average probability of error is _________

A digital communication system uses a repetition code for channel encoding/decoding. During transmission, each bit is repeated three times ($0$ is transmitted as $000$, a...

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190

GATE ECE 2016 Set 1 | Question: 50
An analog pulse $s(t)$ is transmitted over an additive white Gaussian noise (AWGN) channel. The received signal is $r(t) = s(t) + n(t)$, where $n(t)$ is additive white Gaussian noise with power spectral density $\frac{N_0}{2}$. The received signal is passed ... $E_s > E_h$ ; $SNR_{max}>\frac{2E_s}{N_0} \\ $ $E_s < E_h$ ; $SNR_{max}=\frac{2E_h}{N_0}$

An analog pulse $s(t)$ is transmitted over an additive white Gaussian noise (AWGN) channel. The received signal is $r(t) = s(t) + n(t)$, where $n(t)$ is additive white Ga...

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191

GATE ECE 2016 Set 1 | Question: 51
The current density in a medium is given by ${\overrightarrow J= \frac{400 \sin\theta}{2\pi(r^2+4)} \hat {a}_r \: Am^{-2}}$ The total current and the average current density flowing through the portion of a spherical surface $r = 0.8 \: m$ ... $18.73 A, \: 13.65 Am^{-2}$ $12.86 A, \: 9.23 Am^{-2}$ $10.28 A, \: 7.56 Am^{-2}$

The current density in a medium is given by $${\overrightarrow J= \frac{400 \sin\theta}{2\pi(r^2+4)} \hat {a}_r \: Am^{-2}}$$The total current and the average current den...

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192

GATE ECE 2016 Set 1 | Question: 52
An antenna pointing in a certain direction has a noise temperature of $50 \: K$. The ambient temperature is $290 \: K$. The antenna is connected to a pre-amplifier that has a noise figure of $2$ dB and an available gain of $40$ dB over an effective bandwidth of $12$ MHz. ... $T_e = 160.62\thinspace K$ and $P_{a0} = 4.6\times 10^{-10}W$

An antenna pointing in a certain direction has a noise temperature of $50 \: K$. The ambient temperature is $290 \: K$. The antenna is connected to a pre-amplifier that h...

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193

GATE ECE 2016 Set 1 | Question: 53
Two lossless X-band horn antennas are separated by a distance of $200 \lambda$. The amplitude reflection coefficients at the terminals of the transmitting and receiving antennas are $0.15$ and $0.18$,respectively. The maximum directives of ... are perfectly aligned and polarization matched, the power ( in mW) delivered to the load at the receiver is _________

Two lossless X-band horn antennas are separated by a distance of $200 \lambda$. The amplitude reflection coefficients at the terminals of the transmitting and receiving a...

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194

GATE ECE 2016 Set 1 | Question: 54
The electric field of a uniform plane wave traveling along the negative $z$ direction is given by the following equation: ${\overrightarrow {E}^i_w= ( \hat {a}_x+ j\hat {a}_y)E_0e^{jkz}}$ This wave is incident upon a receiving antenna placed ... $-5$dB Circular(clockwise), Linear, $-3$dB Circular(anti clockwise), Linear, $-3$dB

The electric field of a uniform plane wave traveling along the negative $z$ direction is given by the following equation:$${\overrightarrow {E}^i_w= ( \hat {a}_x+ j\hat {...

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195

GATE ECE 2016 Set 1 | Question: 55
The far-zone power density radiated by a helical antenna is approximated as: ${\overrightarrow W_{rad}= \overrightarrow W_{average} \approx \hat {a_r}C_0\frac{1}{r^2}\cos^4\theta}$ The radiated power density is symmetrical with respect to $\phi$ ... maximum directivity of the antenna, respectively, are $1.5C_0,10dB$ $1.256C_0,10dB$ $1.256C_0,12dB$ $1.5C_0,12dB$

The far-zone power density radiated by a helical antenna is approximated as:$${\overrightarrow W_{rad}= \overrightarrow W_{average} \approx \hat {a_r}C_0\frac{1}{r^2}\cos...

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196

GATE ECE 2015 Set 3 | GA Question: 1
Choose the most appropriate word from the options given below to complete the following sentence. If the athlete had wanted to come first in the race, he ________________ several hours every day. should practise should have practised practised should be practising

Choose the most appropriate word from the options given below to complete the following sentence.If the athlete had wanted to come first in the race, he ________________ ...

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197

GATE ECE 2015 Set 3 | GA Question: 2
Choose the most suitable one word substitute for the following expression: Connotation of a road or way Pertinacious Viaticum Clandestine Ravenous

Choose the most suitable one word substitute for the following expression:Connotation of a road or wayPertinaciousViaticumClandestine Ravenous

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198

GATE ECE 2015 Set 3 | GA Question: 3
Choose the correct verb to fill in the blank below: Let us __________ introvert alternate atheist altruist

Choose the correct verb to fill in the blank below:Let us __________introvertalternateatheistaltruist

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199

GATE ECE 2015 Set 3 | GA Question: 4
Find the missing sequence in the letter series below: $A, CD, GHI,?, UVWXY$ $LMN$ $MNO$ $MNOP$ $NOPQ$

Find the missing sequence in the letter series below:$A, CD, GHI,?, UVWXY$$LMN$$MNO$$MNOP$$NOPQ$

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200

GATE ECE 2015 Set 3 | GA Question: 5
If $x>y>1,$ which of the following must be true? $\text{ln } x > \text{ln }y$ $e^{x}>e^{y}$ $y^{x}>x^{y}$ $\cos x> \cos y$ $(i)$ and $(ii)$ $(i)$ and $(iii)$ $(iii)$ and $(iv)$ $(ii)$ and $(iv)$

If $x>y>1,$ which of the following must be true?$\text{ln } x \text{ln }y$$e^{x}>e^{y}$$y^{x}>x^{y}$$\cos x \cos y$ $(i)$ and $(ii)$$(i)$ and $(iii)$ $(iii)$ and $(iv)$$...

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