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Previous GATE
Recent questions
#841
List item number 841
0
0 votes
0
0 answers
GATE IN 2013 | Question: 7
In the transistor circuit as shown below, the value of resistance $R_E$ in $k\Omega$ is approximately, $1.0$$1.5$$2.0$$2.5$
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Analog Electronics
gate2013-in
analog-electronics
numerical-answers
+
–
#842
List item number 842
0
0 votes
0
0 answers
GATE IN 2013 | Question: 5
For a vector $E$, which one of the following statements is $\text{NOT TRUE}$?If $\Delta.E=0,\;E$ is called solenoidalIf $\Delta \times E=0,\;E$ is called conservativeIf $...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Calculus
gate2013-in
calculus
vector-calculus
+
–
#843
List item number 843
0
0 votes
0
0 answers
GATE IN 2013 | Question: 2
If the A-matrix of the state space model of a $SISO$ linear time invariant system is rank deficient, the transfer function of the system must have a pole with a positive ...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Control Systems
gate2013-in
control-systems
linear-algebra
+
–
#844
List item number 844
0
0 votes
0
0 answers
GATE IN 2013 | Question: 4
The complex function $\tan h(s)$ is analytic over a region of the imaginary axis of the complex s-plane if the following is $\text{TRUE}$ everywhere in the region for all...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Analysis of complex variables
gate2013-in
analysis-of-complex-variables
complex-function
numerical-answers
+
–
#845
List item number 845
0
0 votes
0
0 answers
GATE IN 2013 | Question: 1
The dimension of the null space of the matrix $\begin{bmatrix} 0&1&1\\1&-1&0\\-1&0&-1 \end{bmatrix}$ is$0$$1$$2$$3$
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Linear Algebra
gate2013-in
linear-algebra
matrices
null-space
+
–
#846
List item number 846
0
0 votes
0
0 answers
GATE IN 2012 | Question: 63
$\text{A}$ and $\text{B}$ are friends. They decide to meet between $\text{1 PM}$ and $\text{2 PM}$ on a given day. There is a condition that whoever arrives first will no...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Quantitative Aptitude
gate2012-in
numerical-ability
probability
conditional-probability
+
–
#847
List item number 847
0
0 votes
0
0 answers
GATE IN 2012 | Question: 64
The data given in the following table summarizes the monthly budget of an average household.$$\begin{array}{|l|c|}\hline \textbf{Category} & \textbf{Amount (Rs.)} \\\hlin...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Quantitative Aptitude
gate2012-in
numerical-ability
percentage
+
–
#848
List item number 848
0
0 votes
0
0 answers
GATE IN 2012 | Question: 65
There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balanc...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Quantitative Aptitude
gate2012-in
numerical-ability
numerical-computation
+
–
#849
List item number 849
0
0 votes
0
0 answers
GATE IN 2012 | Question: 57
If $(1.001)^{1259}=3.52$ and $(1.001)^{2062}=7.85,$ then $(1.001)^{3321}=$$2.23$$4.33$$11.37$$27.64$
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Quantitative Aptitude
gate2012-in
numerical-ability
numerical-computation
unit-digit
+
–
#850
List item number 850
0
0 votes
0
0 answers
GATE IN 2012 | Question: 61
Raju has $14$ currency notes in his pocket consisting of only $\text{Rs. 20}$ notes and $\text{Rs. 10}$ notes. The total money value of the notes is $\text{Rs. 230}$. The...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Quantitative Aptitude
gate2012-in
numerical-ability
numerical-computation
+
–
#851
List item number 851
0
0 votes
0
0 answers
GATE IN 2012 | Question: 56
Choose the most appropriate alternative from the options given below to complete the following sentence:$\text{If the tired soldier wanted to lie down, he___ the mattress...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Verbal Aptitude
gate2012-in
verbal-ability
most-appropriate-word
+
–
#852
List item number 852
0
0 votes
0
0 answers
GATE IN 2012 | Question: 59
Which one of the following options is the closest in meaning to the word given below?$\text{Latitude}$EligibilityFreedomCoercionMeticulousness
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Verbal Aptitude
gate2012-in
verbal-ability
word-meaning
+
–
#853
List item number 853
0
0 votes
0
0 answers
GATE IN 2012 | Question: 58
One of the parts $\text{(A, B, C, D)}$ in the sentence given below contains an $\text{ERROR}$. Which one of the following is $\text{INCORRECT}$?$\text{I requested that he...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Verbal Aptitude
gate2012-in
verbal-ability
english-grammar
+
–
#854
List item number 854
0
0 votes
0
0 answers
GATE IN 2012 | Question: 60
Choose the most appropriate word from the options given below to complete the following sentence:$\text{Given the seriousness of the situation that he had to face, his __...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Verbal Aptitude
gate2012-in
verbal-ability
most-appropriate-word
+
–
#855
List item number 855
0
0 votes
0
0 answers
GATE IN 2012 | Question: 62
One of the legacies of the Roman legions was discipline. In the legions, military law prevailed and discipline was brutal. Discipline on the battlefield kept units obedie...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Verbal Aptitude
gate2012-in
verbal-ability
verbal-reasoning
passage-reading
+
–
#856
List item number 856
0
0 votes
0
0 answers
GATE IN 2012 | Question: 51
The deflection profile $y(x)$ of a cantilever beam due to application of a point force $F$ (in Newton), as a function of distance $x$ from its base, is given by $y(x)=0.0...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Sensors and Industrial Instrumentation
gate2012-in
analytical-aptitude
numerical-answers
+
–
#857
List item number 857
0
0 votes
0
0 answers
GATE IN 2012 | Question: 50
The deflection profile $y(x)$ of a cantilever beam due to application of a point force $F$ (in Newton), as a function of distance $x$ from its base, is given by $y(x)=0.0...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Measurements
gate2012-in
analytical-aptitude
mechanical-engineering
numerical-answers
+
–
#858
List item number 858
0
0 votes
0
0 answers
GATE IN 2012 | Question: 49
With $\text{10 V}$ dc connected at port $\text{A}$ in the linear nonreciprocal two-port network shown below, the following were observed:$\text1\;\Omega$ connected at por...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Electrical Circuits and Machines
gate2012-in
electrical-circuits-and-machines
numerical-answers
+
–
#859
List item number 859
0
0 votes
0
0 answers
GATE IN 2012 | Question: 55
If $R_L=5\;\Omega,$ the approximate power consumption in the load is $700\;\text{W}$$750\;\text{W}$$800\;\text{W}$$850\;\text{W}$
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Electrical Circuits and Machines
gate2012-in
electrical-circuits-and-machines
numerical-answers
+
–
#860
List item number 860
0
0 votes
0
0 answers
GATE IN 2012 | Question: 54
The power factor of the load is$0.45$$0.50$$0.55$$0.60$
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Electrical Circuits and Machines
gate2012-in
electrical-circuits-and-machines
numerical-answers
+
–
#861
List item number 861
0
0 votes
0
0 answers
GATE IN 2012 | Question: 52
The transfer function of a compensator is given as $$G_c(s)=\frac{s+a}{s+b}$$$G_c(s)$ is a lead compensator if $\text{a=1, b=2}$$\text{a=3, b=2}$$\text{a=-3, b=-1}$$\text...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Control Systems
gate2012-in
control-systems
+
–
#862
List item number 862
0
0 votes
0
0 answers
GATE IN 2012 | Question: 53
The transfer function of a compensator is given as $$G_c(s)=\frac{s+a}{s+b}$$The phase of the above lead compensator is maximum at $\sqrt{2}\;\text{rad/s}$$\sqrt{3}\;\tex...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Control Systems
gate2012-in
control-systems
numerical-answers
+
–
#863
List item number 863
0
0 votes
0
0 answers
GATE IN 2012 | Question: 47
The open loop transfer function of a unity gain negative feedback control system is given by $G(s)=\frac{s^2+4s+8}{s(s+2)(s+8)}.$ The angle $\theta$ , at which the root l...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Control Systems
gate2012-in
control-systems
root-locus
numerical-answers
+
–
#864
List item number 864
0
0 votes
0
0 answers
GATE IN 2012 | Question: 48
With $\text{10 V}$ dc connected at port $\text{A}$ in the linear nonreciprocal two-port network shown below, the following were observed:$\text1\;\Omega$ connected at por...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Electrical Circuits and Machines
gate2012-in
electrical-circuits-and-machines
numerical-answers
+
–
#865
List item number 865
0
0 votes
0
0 answers
GATE IN 2012 | Question: 44
A dynamometer arm makes contact with the piezoelectric load cell as shown. The $g-$constant of the piezoelectric material is $50\times10^{-3}\;\text {Vm/N}$ and the surf...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Sensors and Industrial Instrumentation
gate2012-in
analog-electronics
numerical-answers
+
–
#866
List item number 866
0
0 votes
0
0 answers
GATE IN 2012 | Question: 43
The open loop transfer function of a unity negative feedback control system is given by $G(s)=\frac{150}{s(s+9)(s+25)}$. The gain margin of the system is $10.8\;\text{dB}...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Control Systems
gate2012-in
control-systems
numerical-answers
+
–
#867
List item number 867
0
0 votes
0
0 answers
GATE IN 2012 | Question: 45
Water $\text{(density:}\;1000\;\text{kgm}^{-3})$ stored in a cylindrical drum of diameter $1\;\text{m}$ is emptied through a horizontal pipe of diameter $0.05\;\text{m}$....
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Others
gate2012-in
numerical-answers
fluid-mechanics
quantitative-aptitude
+
–
#868
List item number 868
0
0 votes
0
0 answers
GATE IN 2012 | Question: 42
An analog voltmeter uses external multiplier settings. With a multiplier setting of $20\;\text{k}\Omega$, it reads $400\;\text{V}$ and with a multiplier setting of $80\;\...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Measurements
gate2012-in
analog-electronics
numerical-answers
+
–
#869
List item number 869
0
0 votes
0
0 answers
GATE IN 2012 | Question: 41
The double convex lens is used to couple a laser beam of diameter $5\;\text{mm}$ into an optical fiber with a numerical aperture of $0.5$. The minimum focal length of the...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Communication and Optical Instrumentation
gate2012-in
communication-and-optical-instrumentation
numerical-answers
+
–
#870
List item number 870
0
0 votes
0
0 answers
GATE IN 2012 | Question: 46
A U-tube manometer of tube diameter $D$ is filled with a liquid of zero viscosity. If the volume of the liquid filled is $V$, the natural frequency of oscillations in the...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Others
gate2012-in
analytical-aptitude
+
–
#871
List item number 871
0
0 votes
0
0 answers
GATE IN 2012 | Question: 34
The state variable description of an $\text{LTI}$ system is given by $$\begin{bmatrix}\dot{x_1}\\\dot{x_2\\\dot{x_3}}\end{bmatrix}=\begin{bmatrix}0 & a_1 & 0\\0 & 0 & a_2...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Control Systems
gate2012-in
control-systems
numerical-answers
+
–
#872
List item number 872
0
0 votes
0
0 answers
GATE IN 2012 | Question: 37
Let $y[n]$ denote the convolution of $h[n]$ and $g[n]$, where $h[n]=(1/2)^n\;u[n]$ and $g[n]$ is a causal sequence. If $y[0]=1$ and $y =1/2$, then $g $ equals$0$$1/2$$1$$...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Signals and Systems
gate2012-in
signals-and-systems
numerical-answers
+
–
#873
List item number 873
0
0 votes
0
0 answers
GATE IN 2012 | Question: 39
The circuit shown is alow pass filter with $\text{f}_{3\text{dB}}=\frac{1}{(R_1+R_2)C}\;\text{rad/s}$high pass filter with $\text{f}_{3\text{dB}}=\frac{1}{R_1C}\;\text{ra...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Analog Electronics
gate2012-in
analog-electronics
numerical-answers
+
–
#874
List item number 874
0
0 votes
0
0 answers
GATE IN 2012 | Question: 40
The input $x(t)$ and output $y(t)$ of a system are related as $y(t)=\int^{t}_{-\infty}x(\tau)\cos(3\tau)d\tau$. The system is time-invariant and stablestable and not time...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Signals and Systems
gate2012-in
signals-and-systems
+
–
#875
List item number 875
0
0 votes
0
0 answers
GATE IN 2012 | Question: 36
The Fourier transform of a signal $h(t)$ is $H(j\omega)=(2\cos\omega)(\sin2\omega)/\omega.$ The value of $h(0)$ is $1/4$$1/2$$1$$2$
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Differential equations
gate2012-in
differential-equations
fourier-transform
+
–
#876
List item number 876
0
0 votes
0
0 answers
GATE IN 2012 | Question: 38
The feedback system shown below oscillates at $2\;\text{rad/s}$ when$K=2$ and $a=0.75$$K=3$ and $a=0.75$$K=4$ and $a=0.5$$K=2$ and $a=0.5$
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Control Systems
gate2012-in
control-systems
numerical-answers
+
–
#877
List item number 877
0
0 votes
0
0 answers
GATE IN 2012 | Question: 35
The state transition diagram for the logic circuit shown is
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Digital Electronics
gate2012-in
digital-electronics
sequential-circuit
+
–
#878
List item number 878
0
0 votes
0
0 answers
GATE IN 2012 | Question: 32
Assuming both the voltage sources are in phase, the value of $\text{R}$ for which maximum power transferred from circuit $\text{A}$ to circuit $\text{B}$ is $0.8\;\Omega$...
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Electrical Circuits and Machines
gate2012-in
electrical-circuits-and-machines
numerical-answers
+
–
#879
List item number 879
0
0 votes
0
0 answers
GATE IN 2012 | Question: 31
If $\text{V}_\text{A}-\text{V}_\text{B}=6\;\text{V}$, then $\text{V}_\text{C}-\text{V}_\text{D}$ is $-5\;\text{V}$$2\;\text{V}$$3\;\text{V}$$6\;\text{V}$
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Electrical Circuits and Machines
gate2012-in
electrical-circuits-and-machines
numerical-answers
+
–
#880
List item number 880
0
0 votes
0
0 answers
GATE IN 2012 | Question: 28
The direction of vector $\text{A}$ is radially outward from the origin, with $|A|=kr^n$ where $r^2=x^2+y^2+z^2$ and $k$ is a constant. The value of $n$ for which $\nabla....
Milicevic3306
7.9k
points
asked
Mar 25, 2018
Calculus
gate2012-in
calculus
curl
divergence
+
–
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