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Recent questions tagged gate2019-in
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GATE2019 IN: GA-1
The fisherman, ________ the flood victims owed their lives, were rewarded by the government. whom to which to whom that
The fisherman, ________ the flood victims owed their lives, were rewarded by the government.whomto whichto whomthat
Arjun
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Arjun
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Feb 10, 2019
Verbal Aptitude
gate2019-in
verbal-ability
english-grammar
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GATE2019 IN: GA-2
Some students were not involved in the strike. If the above statement is true, which of the following conclusions is/are logically necessary? Some who were involved in the strike were students. No student was involved in the strike. At least one student was involved in the strike. Some who were not involved in the strike were students. $1$ and $2$ $3$ $4$ $2$ and $3$
Some students were not involved in the strike.If the above statement is true, which of the following conclusions is/are logically necessary?Some who were involved in the ...
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Verbal Aptitude
gate2019-in
verbal-ability
verbal-reasoning
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GATE2019 IN: GA-3
The radius as well as the height of a circular cone increases by $10\%.$ The percentage increase in its volume is ________. $17.1$ $21.0$ $33.1$ $72.8$
The radius as well as the height of a circular cone increases by $10\%.$ The percentage increase in its volume is ________.$17.1$$21.0$$33.1$$72.8$
Arjun
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Quantitative Aptitude
gate2019-in
numerical-ability
mensuration
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GATE2019 IN: GA-4
Five numbers $10,7,5,4$ and $2$ are to be arranged in a sequence from left to right following the directions given below: No two odd or even numbers are next to each other. The second number from the left is exactly half of the left-most number. The middle number is exactly twice the right-most number. Which is the second number from the right? $2$ $4$ $7$ $10$
Five numbers $10,7,5,4$ and $2$ are to be arranged in a sequence from left to right following the directions given below:No two odd or even numbers are next to each other...
Arjun
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Analytical Aptitude
gate2019-in
analytical-aptitude
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GATE2019 IN: GA-5
Until Iran came along, India had never been ___________ in Kabaddi. defeated defeating defeat defeatist
Until Iran came along, India had never been ___________ in Kabaddi.defeateddefeatingdefeatdefeatist
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Verbal Aptitude
gate2019-in
verbal-ability
english-grammar
tenses
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GATE2019 IN: GA-6
Since the last one year after a $125$ basis point reduction in repo rate by the Reserve Bank Of India, banking institutions have been making a demand to reduce interest rates on small saving schemes. Finally, the government announced yesterday a reduction in interest rates on small saving schemes to bring them on par ... rates on small saving scheme A reduction in interest rates on small savings scheme follow only after a reduction in repo rate by the Reserve Bank Of India
Since the last one year after a $125$ basis point reduction in repo rate by the Reserve Bank Of India, banking institutions have been making a demand to reduce interest r...
Arjun
2.9k
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Arjun
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Feb 10, 2019
Verbal Aptitude
gate2019-in
verbal-ability
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GATE2019 IN: GA-7
In a country of $1400$ million population, $70\%$ own mobile phones. Among the mobile phone owners, only $294$ million access the Internet. Among these Internet users, only half buy goods from e-commerce portals. What is the percentage of these buyers in the country? $10.50$ $14.70$ $15.00$ $50.00$
In a country of $1400$ million population, $70\%$ own mobile phones. Among the mobile phone owners, only $294$ million access the Internet. Among these Internet users, on...
Arjun
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Quantitative Aptitude
gate2019-in
numerical-ability
percentage
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GATE2019 IN: GA-8
The nomenclature of Hindustani music has changed over the countries. Since the medieval period, dhrupad styles were identified as baanis. Terms like gayaki and baaj were used to refer to vocal and instrumental styles, respectively. With the institutionalization of music education, the term gharana became acceptable. ... including disciples and grand disciples. Which one of the following pairings is NOT correct? dhrupad, baani gayaki, vocal baaj, institution gharana, lineage
The nomenclature of Hindustani music has changed over the countries. Since the medieval period, dhrupad styles were identified as baanis. Terms like gayaki and baaj were ...
Arjun
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Verbal Aptitude
gate2019-in
verbal-ability
verbal-reasoning
passage-reading
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9
GATE2019 IN: GA-9
two trains started at $7$AM from the same point. The first train travelled north at a speed of $80$km/h and the second train travelled south at a speed of $100$km/h. The time at which they were $540$ km apart is ________ AM. $9$ $10$ $11$ $11.30$
two trains started at $7$AM from the same point. The first train travelled north at a speed of $80$km/h and the second train travelled south at a speed of $100$km/h. The ...
Arjun
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Quantitative Aptitude
gate2019-in
numerical-ability
speed-time-distance
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GATE2019 IN: GA-10
“I read somewhere that in ancient times the prestige of a kingdom depended upon the number of taxes that it was able to levy on its people. It was very much like the prestige of a head-hunter in his own community.” Based on the paragraph above, the prestige of a head-hunter depended upon ______________ the prestige of the kingdom the prestige of the heads the number of taxes he could levy the number of heads he could gather
“I read somewhere that in ancient times the prestige of a kingdom depended upon the number of taxes that it was able to levy on its people. It was very much like the pr...
Arjun
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Feb 10, 2019
Verbal Aptitude
gate2019-in
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passage-reading
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GATE2019 IN: 1
$\overrightarrow{a}$,$\overrightarrow{b}$,$\overrightarrow{c}$ are three orthogonal vectors. Given that $\overrightarrow{a}$ = ${\widehat{i}}$ + 2${\widehat{j}}$ + 5${\widehat{k}}$ and $\overrightarrow{b}$ = ${\widehat{i}}$ + 2${\widehat{j}}$ – ${\widehat{k}}$, the vector $\overrightarrow{c}$ is parallel to $\widehat{i}+2\widehat{j}+3\widehat{k}$ $2\widehat{i} + \widehat{j}$ $2\widehat{i} – \widehat{j}$ $4\widehat{k}$
$\overrightarrow{a}$,$\overrightarrow{b}$,$\overrightarrow{c}$ are three orthogonal vectors. Given that $\overrightarrow{a}$ = ${\widehat{i}}$ + 2${\widehat{j}}$ + 5${\wi...
Arjun
2.9k
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Feb 10, 2019
Calculus
gate2019-in
calculus
vector-calculus
vector-identities
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GATE2019 IN: 2
The vector function $\overrightarrow{A}$ is given by $\overrightarrow{A}$ = $\overrightarrow{\bigtriangledown}$u , where u(x, y) is a scalar function. Then |$\overrightarrow{\bigtriangledown}$ x $\overrightarrow{A}$| is -1 0 1 $\infty$
The vector function $\overrightarrow{A}$ is given by $\overrightarrow{A}$ = $\overrightarrow{\bigtriangledown}$u , where u(x, y) is a scalar function. Then |$\overrightar...
Arjun
2.9k
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Feb 10, 2019
Calculus
gate2019-in
calculus
vector-calculus
vector-identities
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GATE2019 IN: 3
A box has 8 red balls and 8 green balls. Two balls are drawn randomly in succession from the box without replacement. The probability that the first ball drawn is red and the second ball drawn is green is 4/15 7/16 ½ 8/15
A box has 8 red balls and 8 green balls. Two balls are drawn randomly in succession from the box without replacement. The probability that the first ball drawn is red and...
Arjun
2.9k
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Probability and Statistics
gate2019-in
probability-and-statistics
probability
conditional-probability
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14
GATE2019 IN: 4
In the Figures (a) and (b) shown below, the transformers are identical and ideal ,except that the transformer in Figure (b) is centre -tapped. Asssuming ideal diodes, the ratio of the root mean-square (RMS) voltage across the resistor R in Figure (a) to that in figure (b) is $\sqrt{2}$: 1 2: 1 2$\sqrt{2}$ : 1 4:1
In the Figures (a) and (b) shown below, the transformers are identical and ideal ,except that the transformer in Figure (b) is centre -tapped. Asssuming ideal diodes, the...
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Others
gate2019-in
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GATE2019 IN: 5
The output y(t) of a system is related to its input x(t) as y(t) = ${\displaystyle \int^t_0}$x(t – 2)dt, where, x(t) =0 and y(t) = 0 for t $\le$ 0. The transfer function of the system is $\frac{1}{s}$ $\frac{(1-e^{-2s})}{s}$ $\frac {e^{-2s}}{s}$ $\frac{1}{s} – e^{-2s}$
The output y(t) of a system is related to its input x(t) asy(t) = ${\displaystyle \int^t_0}$x(t – 2)dt, where, x(t) =0 and y(t) = 0 for t $\le$ 0. The transfer function...
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Others
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GATE2019 IN: 6
The input x[n] and output y[n] of a discrete-time system are related as y[n] = $\alpha$y[n – 1] + x[n]. The condition of $\alpha$ for which the system is Bounded-Input Bounded-Output (BIBO) stable is |$\alpha$| < 1 |$\alpha$| = 1 |$\alpha$| > 1 |$\alpha$| < 3/2
The input x[n] and output y[n] of a discrete-time system are related as y[n] = $\alpha$y[n – 1] + x[n]. The condition of $\alpha$ for which the system is Bounded-Input...
Arjun
2.9k
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Feb 10, 2019
Others
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GATE2019 IN: 7
In a cascade control system, the closed loop transfer function of the inner loop may be assumed to have a single time-constant $\tau${_1}$. Similarly, the closed loop transfer function of the outer loop may be assumed to have a single time constant $\tau${_2}$. The desired relationship between $\tau${_1}$ and $\tau${_2}$ in a well-designed control system is ... $\tau${_1}$ is equal to $\tau${_2}$ $\tau${_1}$ is much greater than $\tau${_2}$ $\tau${_1}$ is independent of $\tau${_2}$
In a cascade control system, the closed loop transfer function of the inner loop may be assumed to have a single time-constant $\tau$${_1}$. Similarly, the closed loop tr...
Arjun
2.9k
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Feb 10, 2019
Others
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GATE2019 IN: 8
The loop-gain function L(s) of a control system with unity feedback is given to be L(s) = $\frac{k}{(s + 1)(s + 2)(s + 3)}$, where k >0. If the gain cross-over frequency of the loop-gain function is less than its phase cross-over frequency, the closed-loop system is unstable marginally stable conditionally stable stable
The loop-gain function L(s) of a control system with unity feedback is given to be L(s) = $\frac{k}{(s + 1)(s + 2)(s + 3)}$, where k >0. If the gain cross-over frequency...
Arjun
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Others
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19
GATE2019 IN: 9
If each of the values of inductance, capacitance and resistance of a series LCR circuit are doubled, the Q-factor of the circuit would reduce by a factor $\sqrt{2}$ reduce by a factor 2 increase by a factor $\sqrt{2}$ increase by a factor 2
If each of the values of inductance, capacitance and resistance of a series LCR circuit are doubled, the Q-factor of the circuit wouldreduce by a factor $\sqrt{2}$reduce ...
Arjun
2.9k
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Arjun
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Others
gate2019-in
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20
GATE2019 IN: 10
In the circuit shown below, the input voltage V${_i}{_n}$ is positive. The current (I) – voltage(V) characteristics of the diode can be assumed to be I = I${_0}$e$^{v/vr}$ under the forward bias condition, where V${_T}$ is the thermal voltage and I${_0}$ is the reverse saturation current. Assuming an ideal op-amp, the output voltage v${_o}{_u}{_t}$ of the circuit is proportional to log${_e}$(V${_i}{_n}/V{_T}$) 2V${_i}{_n}$ e$^{V}{_i}{_n}/^{V}{T}$ V$^{2}{_i}{_n}$
In the circuit shown below, the input voltage V${_i}{_n}$ is positive. The current (I) – voltage(V) characteristics of the diode can be assumed to be I = I${_0}$e$^{v/v...
Arjun
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Others
gate2019-in
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21
GATE2019 IN: 11
The correct biasing conditions for typical operation of light emitting diodes, photodiodes, Zener diodes are, respectively forward bias, reverse bias, reverse bias reverse bias, reverse bias, forward bias forward bias, forward bias, reverse bias reverse bias, forward bias, reverse bias
The correct biasing conditions for typical operation of light emitting diodes, photodiodes, Zener diodes are, respectivelyforward bias, reverse bias, reverse biasreverse ...
Arjun
2.9k
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Arjun
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GATE2019 IN: 12
The circuit shown in the figure below uses ideal positive edge-triggered synchronous J-K flip flops with outputs X and Y. If the initial state of the output is X =0 and Y =0 just before the arrival of the first clock pulse, the state of the output just before the arrival of the second clock pulse is X=0, Y=0 X=0, Y=1 X=1, Y=0 X=1, Y=1
The circuit shown in the figure below uses ideal positive edge-triggered synchronous J-K flip flops with outputs X and Y. If the initial state of the output is X =0 and Y...
Arjun
2.9k
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Arjun
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Feb 10, 2019
Digital Electronics
gate2019-in
digital-electronics
sequential-circuit
counters
synchronous-counter
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23
GATE2019 IN: 13
Thermocouples measure temperature based on Photoelectric effect Seebeck effect Hall effect Thermal expansion
Thermocouples measure temperature based on Photoelectric effectSeebeck effectHall effectThermal expansion
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Others
gate2019-in
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24
GATE2019 IN: 14
Four strain gauges in a Wheatstone bridge configuration are connected to an instrumentation amplifier as shown in the figure. From the choices given below, the preferred value for the common mode rejection ratio(CMRR) of the amplifier, in dB, would be -20 0 3 100
Four strain gauges in a Wheatstone bridge configuration are connected to an instrumentation amplifier as shown in the figure. From the choices given below, the preferred ...
Arjun
2.9k
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Others
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GATE2019 IN: 15
In a single-mode optical fiber, the zero-dispersion wavelength refers to the wavelength at which the material dispersion is zero. waveguide dispersion is zero. sum of material dispersion and waveguide dispersion is zero. material dispersion and waveguide dispersion are simultaneously zero.
In a single-mode optical fiber, the zero-dispersion wavelength refers to the wavelength at which the material dispersion is zero.waveguide dispersion is zero.sum of mater...
Arjun
2.9k
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Arjun
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Feb 10, 2019
Others
gate2019-in
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GATE2019 IN: 16
A 3 x 3 matrix has eigenvalues 1, 2 and 5. The determinant of the matrix is $\_\_\_\_$.
A 3 x 3 matrix has eigenvalues 1, 2 and 5. The determinant of the matrix is $\_\_\_\_$.
Arjun
2.9k
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Linear Algebra
gate2019-in
numerical-answers
linear-algebra
matrices
eigen-values
determinant
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27
GATE2019 IN: 17
In the circuit shown below, maximum power is transferred to the load resistance R${_L}$, when R${_L}$ = $\_\_\_\_$ $\Omega$.
In the circuit shown below, maximum power is transferred to the load resistance R${_L}$, when R${_L}$ = $\_\_\_\_$ $\Omega$.
Arjun
2.9k
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Arjun
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Feb 10, 2019
Others
gate2019-in
numerical-answers
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28
GATE2019 IN: 18
Consider a circuit comprising only resistors with constant resistance and ideal independent DC voltage sources. If all the resistances are scaled down by a factor 10, and all source voltages are scaled up by a factor 10, the power dissipated in the circuit scles up by a factor of $\_\_\_\_\_\_$.
Consider a circuit comprising only resistors with constant resistance and ideal independent DC voltage sources. If all the resistances are scaled down by a factor 10, an...
Arjun
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Arjun
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Feb 10, 2019
Others
gate2019-in
numerical-answers
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29
GATE2019 IN: 19
In the circuit shown below, initially the switch S${_1}$ is open, then capacitor C1 has a charge of 6 coulomb, and the capacitor C2 has 0 coulomb. After s${_1}$ is closed, the charge on C2 in steady state is $\_\_\_\_\_$ coulomb.
In the circuit shown below, initially the switch S${_1}$ is open, then capacitor C1 has a charge of 6 coulomb, and the capacitor C2 has 0 coulomb. After s${_1}$ is closed...
Arjun
2.9k
points
Arjun
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Feb 10, 2019
Others
gate2019-in
numerical-answers
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30
GATE2019 IN: 20
An 8-bit weighted resistor digital-to-analog converter(DAC) has the smallest resistance of 500 $\Omega$. The largest resistance has a value $\_\_\_\_$ k$\Omega$.
An 8-bit weighted resistor digital-to-analog converter(DAC) has the smallest resistance of 500 $\Omega$. The largest resistance has a value $\_\_\_\_$ k$\Omega$.
Arjun
2.9k
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Arjun
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Feb 10, 2019
Others
gate2019-in
numerical-answers
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31
GATE2019 IN: 21
The total number of Boolean functions with distinct truth-tables that can be defined over 3 Boolean variables is $\_\_\_\_$.
The total number of Boolean functions with distinct truth-tables that can be defined over 3 Boolean variables is $\_\_\_\_$.
Arjun
2.9k
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Arjun
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Digital Electronics
gate2019-in
numerical-answers
digital-electronics
boolean-algebra
boolean-functions
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answers
32
GATE2019 IN: 22
The figure below shows the i $^{th}$ full-adder block of a binary adder circuit. C${_i}$ is the input carry and C${_i}{_+}{_1}$ is the output carry of the circuit. Assume that each logic gate has a delay of 2 nanosecond, with no additional time delay due to the interconnecting wires. If the inputs A${_i}$,B${_i}$ are ... stable throughout the carry propogation, the maximum time taken for an input C${_i}$ to produce a steady-state output C${_i}{_+}{_1}$ is $\_\_\_\_$ nanosecond.
The figure below shows the i $^{th}$ full-adder block of a binary adder circuit. C${_i}$ is the input carry and C${_i}{_+}{_1}$ is the output carry of the circuit. Assume...
Arjun
2.9k
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Digital Electronics
gate2019-in
numerical-answers
digital-electronics
combinational-circuits
binary-adder
full-adder
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answers
33
GATE2019 IN: 23
The resistance of a resistor is measured using a voltmeter and an ammeter. The voltage measurements have a mean value of 1 V and standard deviation of 0.12 V while current measurements have a mean value of 1 mA with standard deviation of 0.05 mA. Assuming that the errors in voltage and current measurements are independent, the standard deviation of the calculated resistance value is $\_\_\_\_$ $\Omega$.
The resistance of a resistor is measured using a voltmeter and an ammeter. The voltage measurements have a mean value of 1 V and standard deviation of 0.12 V while curren...
Arjun
2.9k
points
Arjun
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Feb 10, 2019
Others
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numerical-answers
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34
GATE2019 IN: 26
The curve y = f(x) is such that the tangent to the curve at every point (x,y) has a y-axis intercept c, given by c = -y. Then,f(x) is proportional to x$^{-1}$ x$^{2}$ x$^{3}$ x$^{4}$
The curve y = f(x) is such that the tangent to the curve at every point (x,y) has a y-axis intercept c, given by c = -y. Then,f(x) is proportional tox$^{-1}$x$^{2}$x$^{3}...
Arjun
2.9k
points
Arjun
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Feb 10, 2019
Calculus
gate2019-in
calculus
functions
curves
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35
GATE2019 IN: 27
The function p(x) is given by p(x) = A/x$^\mu$ where A and $\mu$ are constants with $\mu$ > 1 and 1 $\le$ x <$\infty$ and p(x) = 0 for -$\infty$ < x <1. For p(x) to be a probability density function, the value of A should be equal to $\mu$ – 1 $\mu$ + 1 1/($\mu$ – 1) 1/($\mu$ +1)
The function p(x) is given by p(x) = A/x$^\mu$ where A and $\mu$ are constants with $\mu$ 1 and 1 $\le$ x <$\infty$ and p(x) = 0 for -$\infty$ < x <1. For p(x) to be a ...
Arjun
2.9k
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Arjun
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Probability and Statistics
gate2019-in
probability-and-statistics
probability
probability-density-function
mean
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36
GATE2019 IN: 28
The dynamics of the state $\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ of a sytem is governed by the differential equation $\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ = $\begin{bmatrix}1 & 2 \\-3 & -4\end{bmatrix}$\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ + $ ... is $\begin{bmatrix}-30 \\-40\end{bmatrix}$ $\begin{bmatrix}-20 \\-10\end{bmatrix}$ $\begin{bmatrix}5\\-15\end{bmatrix}$ $\begin{bmatrix}50 \\-35\end{bmatrix}$
The dynamics of the state $\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ of a sytem is governed by the differential equation $\begin{bmatrix}x{_1} \\x{_2}\end{bmatrix}$ = ...
Arjun
2.9k
points
Arjun
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Feb 10, 2019
Differential equations
gate2019-in
differential-equations
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37
GATE2019 IN: 29
A complex function f(z) = u(x,y) + i v(x,y) and its complex conjugate f*(z) = u(x,y) – i v(x,y) are both analytic in the entire complex plane, where z = x + i y and i = $\sqrt{-1}$. The function f is then given by f(z) = x + i y f(z) = x$^{2}$ – y$^{2}$ + i 2xy f(z) = constant f(z) = x$^{2}$ + y$^{2}$
A complex function f(z) = u(x,y) + i v(x,y) and its complex conjugate f*(z) = u(x,y) – i v(x,y) are both analytic in the entire complex plane, where z = x + i y and i =...
Arjun
2.9k
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Analysis of complex variables
gate2019-in
analysis-of-complex-variables
complex-conjugate
complex-function
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38
GATE2019 IN: 35
$X=X_1X_0 \;and\;Y=Y_1Y_0$ are 2-bit binary numbers. The Boolean function $S$ that satisfies the condition “If $X>Y$, then $S=1”$, in its minimized form, is $X_1Y_1+X_0Y_0$ $X_1\overline Y_1+X_0\overline Y_0\overline Y_1+X_0\overline Y_0 X_1$ $X_1\overline Y_1X_0Y_0$ $X_1Y_1+X_0\overline Y_0Y_1+X_0\overline Y_0\overline X_1$
$X=X_1X_0 \;and\;Y=Y_1Y_0$ are 2-bit binary numbers. The Boolean function $S$ that satisfies the condition “If $X>Y$, then $S=1”$, in its minimized form, is$X_1Y_1+X_...
Arjun
2.9k
points
Arjun
asked
Feb 10, 2019
Digital Electronics
gate2019-in
digital-electronics
boolean-algebra
boolean-functions
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39
GATE2019 IN: 36
In the circuit below, the light dependent resistor $(LDR)$ receives light from the $LED$. The $LDR$ has resistances of $5\;k\Omega$ and $500\;\Omega$ under dark and illuminated conditions,respectively. The $LED$ is $OFF$ at time $t<0$. At time $t=0s$, the switch $S_1$ is closed for $1\;ms$ and then kept open ... $ON$ to $OFF$ after $S_1$ is opened remains $OFF$ when $S_1$ is closed and continues to remain $OFF$ after $S_1$ is opened
In the circuit below, the light dependent resistor $(LDR)$ receives light from the $LED$. The $LDR$ has resistances of $5\;k\Omega$ and $500\;\Omega$ under dark and illum...
Arjun
2.9k
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Arjun
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GATE2019 IN: 37
A differential capacitive sensor with a distance between the extreme plates $100\;mm$ is shown in figure below. The difference voltage $\Delta V=V_1-V_2,$ where $V_1$ and $V_2$ are the rms values, for a downward displacement of $10\;mm$ of the intermediate plate from the central position, in volts, is __________. $0.9$ $1.0$ $1.1$ $2$
A differential capacitive sensor with a distance between the extreme plates $100\;mm$ is shown in figure below. The difference voltage $\Delta V=V_1-V_2,$ where $V_1$ and...
Arjun
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Arjun
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Feb 10, 2019
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