Recent questions tagged gate2015-in

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Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence:Apparent lifelessness $\_\_\_\_\_\_\_\_\_\_\_\_$ dormant life....
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$\text{Fill in the blank with the correct idiom/phase}$.That boy from the town was a $\_\_\_\_\_\_\_\_\_\_\_\_$ in the sleepy village.dog out of herdsheep from the heapfi...
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Tanya is older than Eric.Cliff is older than TanyaEric is older than cliff.If the first two statements are true, then the third statement is:TrueFalseUncertainData insuff...
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Five teams have to compete in a league, with every team playing every other team exactly once, before going to the next round. How many matches will have to be held to c...
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In the given figure angle $Q$ is a right angle, $PS:QS=3:1, RT:QT=5:2$ and $PU:UR=1:1$. If area of triangle $QTS$ is $20\; cm^2$, then the area of triangle $PQR$ in $cm^2...
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Let $A$ be an $n\times n$ matrix with rank $r(0<r<n).$ Then $\text{Ax=0}$ has $p$ independent solutions, where $p$ is$r$$n$$n-r$$n+r$
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The double integral $\int_0^a \int_0^y f(x,y) dx\;dy$ is equivalent to$\int_0^x\int_0^y f(x,y) dx\;dy$$\int_0^a \int_x^y f(x,y) dx\;dy$$\int_0^a \int_x^a f(x,y) dy\;dx$$\...
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The magnitude of the directional derivative of the function $f(x,y)=x^2+3y^2$ in a direction normal to the circle $x^2+y^2=2,$ at the point $(1,1),$ is$4\sqrt{2}$$5\sqrt{...
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The capacitor shown in the figure is initially charged to $\text{+10 V}$. The switch closes at time $t=0$. Then the value of $V_C(t)$ in volts at time $\text{t=0 ms}$ is ...
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The torque transmitted by a cylindrical shaft is to be measured by using two strain gauges. The angles for mounting the strain gauges relative to the axis of the shaft fo...
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Liquid flow rate is measured usinga Pirani gaugea pyrometeran orifice platea Bourdon tube
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The output voltage of the ideal transformer with the polarities and dots shown in the figure is given by$NV_i\sin \omega t$$-NV_i\sin \omega t$$\frac{1}{N}V_i\sin \omega ...
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The logic evaluated by the circuit at the output is $X\overline{Y}+Y\overline{X}$$(\overline{X+Y})XY$$\overline{XY}+XY$$\overline{X}Y+X\overline{Y}+X+Y$
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The highest frequency present in the signal $x(t)$ is $f_{max}$. The highest frequency present in the signal $y(t)=x^2(t)$ is$\frac{1}{2}f_{max}$$f_{max}$$2f_{max}$$4f_{m...
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The filter whose transfer function is of the form $G(s)=\frac{s^2-bs+c}{s^2+bs+c}$ isa high-pass filtera low-pass filteran all-pass filtera band-reject filter
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Let 3+4j be a zero of a fourth order linear-phase $FIR$ filter. The complex number which is $NOT$ a zero of this filter is$3-4j$$\frac{3}{25}+\frac{4}{25}j$$\frac{3}{25}-...
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The bridge most suited for measurement of a four-terminal resistance in the range of $0.001\;\Omega$ to $0.1\;\Omega$ isWien’s bridgeKelvin double bridgeMaxwell’s bri...
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A system with transfer function $G(S)=\frac{1}{s^2+1} $ has zero initial conditions. The percentage overshoot in its step response is ______________ $\%$.
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The voltage $(E_0)$ developed across a glass electrode for $pH$ measurement is related to the temperature $(T)$ by the relation$E_0 \varpropto \frac{1}{T^2}$$E_0 \varprop...
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The $z-$transform of $x[n]=\alpha ^{|n|}, 0<|\alpha|<1,$ is $X(z).$ The region of convergence of $X(z)$ is$|\alpha|<|z|<\frac{1}{|\alpha|}$$|z|>\alpha$$|z|>\frac{1}{|\alp...
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The current in amperes through the resistor $R$ in the circuit shown in the figure is ______________ $A$.
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