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The given question is followed by two statements: select the most appropriate option that solves the question
Capacity of a solution tank A is 70% of the capacity of tank B. How many gallons of solution are in tank A and tank B?
Statements:
Tank A is 80% full and tank B is 40% full
Tank A if full contains 14,000 gallons of solution
Which of the following is the antonym of the word SILENCE?
What is the value of the following expression?
Which of the following is the synonym of the word ADMONISH?
From a group of 61 students, each student appears for at least one of the 3 papers i.e.
GATE, ESE or SSC. Out of the students appearing for SSC, the number of students appearing for ONLY SSC is equal to the number of students who also appear for GATE.
The number of students who appear for only GATE is 3 more than the number of students who appear for all 3; number of students appear for ESE alone is higher than the previous number by 5.
If 32 students appear for ESE and 36 students appear for exactly ONE exam, then the number of students appearing for all 3 exams are _____.
Which of the following statements cannot be inferred from the passage?
Not stagnating moment to moment is called achievement. Inward humility is achievement, outward courtesy is virtue. Establishing myriad truth in your nature is achievement; the mind being essentially detached from thoughts is virtue. Not departing from one's essential nature is achievement; acting adaptively without being affected is virtue. Continuity moment to moment is achievement; balance and directness of mental activity are virtue. Refining your own nature is achievement. Refining your own person is virtue.
A water tank of capacity 6000 litres is connected to 2 taps ’A’ and 'B'. Water flows from these 2 taps at 90 litres per minute and 60 litres per minute respectively.
To fill this empty tank, first tap ‘A’ is opened for sometime and once it is closed, tap ‘B’ is opened till the tank is full taking a total of 90 minutes.
What is the difference in the time (in minute) for which the taps are opened to fill the tank.
1/3^{8} + 1/3^{9} + 1/3^{9} + 1/3^{9} is equal to
Which one of the following describes the relationship among the three vectors,
What will be the sum of the factors of 3^{129}?
The circuit below is at steady state
The sum of currents i_{1} and i_{2} (in A) is_____
The transition capacitance of a diode is proportional to
The Fourier transform of the signal shown in the following figure is
In the JK flipflop, we have J = Q̅ and K = 1 as shown in the figure:
Assuming the flipflop was initially cleared and then clocked for 6 pulses, the sequence at the Q output will be
A system is described by dy(t)/dt + 3y(t) = x(t) where x(t) is input and y(t) is output. Then the unit step response of the system is
The state space equation of a system is described by
x = Ax + Bu
y = Cx
Where x is state vector, u is input, y is output and A =
A unity feedback is provided to the above system G(s) to make it a closed loop sytem as shown in figure.
For a unit step input r(t), the steady state error in the output will be
The Transfer function in relation to Bode Plot given below is
The Fourier series expansion of a real periodic signal with fundamental frequency f_{0} is given by g_{p}(t) = . It is given that C_{3} = 3 + j5. Then, C_{3} is
Consider a springmass system given as where m stands for mass, c for the damper, and spring labelled as k
In the figure shown above, consider the m= 1 units, k= 6 units, c= 8 units.
Sum of all the poles and zeroes of the transfer function is:
Consider the following circuits:
Full adder
Half adder
JK flipflop
Counter
Which of the above circuits are classified as sequential logic circuits?
The CMOS circuit shown below implements the logic function
Path of a charged particle A that enters in a uniform magnetic field B (pointing into the page) is shown in the figure.
The deflection in the path of the particle shows that the particle is
The circuit shown in figure is best described as a
A JK flipflop can be made from an SR flipflop by using two additional
A Mealy system produces a 1 output if the input has been 0 for at least two consecutive clocks followed immediately by two or more consecutive 1’s. The minimum state for this system is
Let P and Q be square matrices such that PQ = I, then zero is an eigen value of
The value of ∫_{c}zdz, there 'C' is the left half of the unit circle, is
In a discretetime complex, exponential sequence of frequency ω_{0} = 1, the sequence is:
Periodic with period 2π/ω_{0}
Non periodic
Periodic for some value of period N
Which of the above statements is/are correct?
A germanium sample at T = 300 K is doped with donor atoms with concentration N_{d} = 6 x 10^{18}/cm^{3}. At thermal equilibrium, if the intrinsic concentration of the sample is n_{i} = 2.4 x 10^{13}/cm^{3}, then the hole concentration/cm^{3} is ___ × 10^{6} (Answer up to the nearest integer)
If V = x^{2}y (z+3) v then calculate the magnitude of charge within the cube 0 < x, y, z < 1 _______ (in pC)
The absolute value of residue of the function zcos 1/z at z = 0 is (Answer up to one decimal place)
A signal x(t) = 2 cos (π10^{4}t) volts is applied to an FM modulator with the sensitivity constant of 10 khz/v. Then the modulation index of the FM wave is :
The DTFS coefficients of a signal x[n] are shown in figure below.
The value of x[0] is _____. (Answer up to the nearest integer)
Consider the given transition probability diagram of a binary symmetric channel as shown in figure. The input binary symbols 0 and 1 occur with probabilities 1/4 and 3/4 respectively
Then probabilities of binary symbols 0 and 1 appearing at the channel output are.
What will be the equivalent Boolean expression for X ⊕ Y ⊕ XY, where X and Y are Boolean variables?
Using Gauss Seidel method , starting form [0,0,0]
x_{1}+ x_{2} – x_{3} = 1,
x_{1}+ 4x_{2} + x_{3} =15,
3x_{1}+ 2x_{2}+ 3x_{3}= 20.
Find (2x_{3}+ x_{2} – x_{1}) after two iterations approximately.
Consider the MOSFET configuration shown below.
Which of the following waveforms shows the correct relation between input and output voltage for body bias effect?
If the probability of a bad reaction from a certain injection is 0.001, and then the probability that out of 2000 individuals more than two will get a bad reaction will be
If a matched filter is defined as s(t) = f(t) + 2f(t) δ(t – 0.5) + f(t – 2.5) * δ (t + 0.5)
(where f(t) is shown in figure below), then what will be the impulse response of matched filter h(t); 2 ≤ t < />
(Note: δ is delta function and * is convolution operator)
Consider the following figure
Initially all the counters are cleared and Y = Output Y = 1 when inputs a_{2} a_{1} a_{0} and b_{2} b_{1} b_{0} are equal. How many clock pulses are needed to get output Y = 1 again __________.
The DT system shown in the figure below is stable if
The Truth Table of a circuit is shown below
The Boolean expression of Z is
Given the matrix A = .
Eigenvectors of matrix A are
Calculate the cutoff frequency f_{3 db} for the given figure
A parallel plate waveguide having plate separation b = 14.1mm is partially filled with two lossless dielectrics with permittivities ɛ_{r1} = 2 and ɛ_{r2} = 1.05.
How many TM modes can propagate through the guide at the frequency f_{0}?
The output characteristics for a BJT are given below.
Determine the hybrid parameter
Consider the cascaded connection of opamp shown below.
If R_{1 }= R_{2 }= 10 kΏ, C_{1} = 0.1μF, and C_{2} = 0.001μF, then the cascaded network is
A GaAs laser with dimensions of 20 µm * 300 µm has a threshold density of 600 A/cm^{2}. The active region is d_{A}= 150 Armstrong. The electronhole recombination time at threshold is 2 ns. The current density of 4J_{th} is injected into the laser. If emitted photons have an energy of 1.43 eV, then optical power emitted is _______(in mW)
Consider a stationary stochastic signal sequence {x(n)}, with zero mean and auto correlation sequence.
What will be the prediction coefficient (a_{1}) of the 1^{st} order minimum mean square error predictor for ? (Answer up to one decimal place)
The open loop DC gain of unity negative feedback system with closed loop transfer function
s + 4/(s^{2} + 7s + 13) is ________
A magnetic core of uniform cross section having two coils (primary and secondary) wound on it as shown in figure. The no. of turns of primary coil is 5000 and no. of turns of secondary coil is 3000. If a voltage source of 12 volt is connected across the primary coil, then what will be the voltage (in V) across the secondary coil? (Answer up to one decimal place)
For the circuit given below, voltage signals are marked with v_{1}(t ) and v_{2}(t). The supply is 50Hz sinusoidal. The diode is ideal and the saturation levels of the comparator is given by +V_{sat }and −V_{zat}
Find the ratio of the magnitude of 'k' th harmonic of v_{1}(t) and v_{2}(t), when k is odd.
An infinitely long lossy transmission line with characteristic impedance Z_{01} = 200Ω is feeded by a λ/2 section of 100Ω lossless transmission line as shown in figure. If a voltage generator V_{sg} = 4 V with an internal resistance V_{g} = 100Ω is applied to the whole configuration, then the average power (in mWatt) transmitted to the infinite transmission line will be ______. (Answer up to one decimal place)
The complex exponential Fourier series representation of a signal f(t) over the interval (0,T) is
Find the sum of component of f(t) at n = 3 and n = 3
Consider the two binary random variables X and Y distributed according to the joint distributions such that
P(x = y = 0) = P(x = 0, y = 1) = P(x = y = 1) = 1/3
The entropy H(x) will be ____. (Answer up to one decimal place)
Find the sum of Power delivered by the 2V battery source, 4A current source and 6A current source using the given electrical circuit.
Consider the ordinary differential equation . Given the values of y(1) = 0 and y(2) = 2, the value of y(3) is _______.
(Answer up to the nearest integer)
A 250 V rms voltage source supplies three loads as shown in figure below, where
L_{1}: 20 kW at upf
L_{2}: 25 kVA at 0.8 pf lag
L_{3}: 40 kVA at 0.75 pf lag
Find the total power(kW) supplied by the source and the source p.f
Consider the opamp circuit shown below.
If the opamps are ideal, what will be the output voltage V_{0} (in volt)? (Answer up to nearest integer)
An antenna in air radiates a total power of 100KW so that a maximum radiated electric field strength of 12 m V/m is measured 20 km from the antenna. What would be its maximum power gain if h_{r} = 98%
Consider the signal flow graph of a system shown below.
The number of feedback loops in the SFG is _____.
(Answer up to the nearest integer)
Following are the data given for an amplifier
Noise figure = 4dB
Bandwidth = 500 kHz
Input resistance = 50 W
If the amplifier is connected to a signal source of 50W at 290 K, then the input signal voltage needed to yield an output SNR = 1 is ______________
Consider a semiconductor having following parameters:
Electron mobility, α_{n }= 7500 cm^{2}/Vs
Hole mobility,α_{p} = 300 cm^{2}/ Vs
Intrinsic concentration n_{i} = 13.6 x 10^{11}/cm^{3}
The conductivity of the semiconductor will be minimum if hole concentration is ___× 10^{11}/cm^{3}
(Answer up to the nearest integer)
In the given figure PDF curve of random variable is shown.
Calculate P (X ≤ 1) =
23 docs263 tests

23 docs263 tests
