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Direction: Study the following piechart and tables carefully and answer the questions given below.
Total Number of email received by the organization = 90000
Ratio of Read emails to Unread emails received by the organization
What is the ratio of the number of emails read in January to those unread in the month of April in the organization?
The shape in the figure given below is folded to form a box. Choose from the alternatives (1), (2), (3) and (4), the boxes that are similar to the box formed from the shape below.
In the following question, out of the given four alternatives, select the one which is opposite in the meaning of the given word.
Scurrilous
What is the chance that a leap year, selected at random, will contain 53 Sundays?
Direction: Study the following information carefully and answer the questions given below:
P, Q, R, S, T, U, V and F are sitting around a circle facing the centre. U is third to the right of Q, who is third to the right of F. P is third to the left of F. R is fourth to the left of P. T is third to the right of S. S is not a neighbour of P.
Four of the following five are similar in a certain way based on their positions in the seating arrangement and so form agroup. Which of the following does not belong to that group?
In a group, the ratio of the number of boys to the number of girls is P. The ratio of the number of girls to the number of boys is Q, then P + Q is always
In a school, 12^{th} class consists of 30% male students of which 30% male students failed in the class. Total 82% students passed in 12th examination out of 900 students. Calculate the total number of female passed students?
A cube of side 10 cm is coloured red, with a 2 cm wide green strip along all the sides on all the faces. The cube is cut into 125 smaller cubes of equal sizes. How many cubes have at least two green faces each?
Direction: In the following number series, only one number is wrong. Find out the wrong number.
17 25 34 98 121 339
Directions: In the question given below, a statement is followed by three courses of action labelled (A), (B) and (C). A course of action is a step or administrative decision to be taken for improvement, followup or further action in regard to the problem, policy, etc. On the basis of the information given in the statement, you have to assume everything in the statement to be true and then decide which of the suggested courses of action logically follow(s) for pursuing.
Statement: Many political activists have decided to stage demonstrations and block traffic movement in the city during peak hours to protest against the steep rise in prices of essential commodities.
Courses of action:
(A) The Govt. should immediately ban all forms of agitations in the country.
(B) The police authority of the city should deploy additional forces all over the city to help traffic movement in the city.
(C) The state administration should carry out preventive arrests of the known criminals staying in the city.
In the following figure, the J and K inputs of all the four FlipFlops are made high. The frequency of the signal at output Y is
For the function e^{x}, the linear approximation around x = 2 is
Consider the lossless transmission line circuit shown in the figure, The voltage standing wave ratio on 50 Ω line is given by
The Laplace transform of a function is(S + 1)/S(S + 2) . The initial and final values, respectively, of the function are
Given x(t) = e^{−t}u(t). Find the inverse laplace transform of e^{−3s }X(2s).
Under low level injection assumption, the injected minority carrier current for an extrinsic semiconductor is essentially the
Find the differential equation of the system described by the transfer function given as:
Choose proper substitutes for X and Y to make the following statement correct.
Tunnel diode and avalanche photo diode are operated in X bias and Y bias, respectively.
The builtin potential of an abrupt pn junction is 0.75 V. If its junction capacitance (Q) at a reverse bias (V_{R}) of 1.25 V is 5 pF, the value of C_{J} (in pF) when V_{R} = 7.25 V is________.
Consider the state equation for a system given below.
Which of the following conditions is true for complete controllability?
Assume electronic charge q = 1.6×10^{−}^{19}C,kT/q = 25mVand electron mobility μ_{n} = 1000cm^{2}/V−s.If the concentration gradient of electrons injected into a Ptype silicon sample is 1×10^{21} cm^{4},the magnitude of electron diffusion current density (in A/cm^{2}) is _________.
Without any additional circuitry, an 8 : 1 MUX can be used to obtain
The voltage gain of an amplifier is 100. A negative feedback is applied with β=0.04. The overall gain of the amplifier is:
In the circuit shown, the device connected to Y5 can have address in the range
Consider two resistors of 50 kΩ and 100 kΩ at room temperature of 27 ^{O}C. These resistors are passing a signal of bandwidth 50 kHz. Let N_{1} and N_{2} be the noise voltage generated while operating in series and parallel configuration, respectively. Determine N_{1} and N_{2}.
The transfer function of a phaselead compensator is given by G_{c} = , where T > 0. What is the maximum phase shift of the compensator?
The amplitude of a random signal is uniformly distributed between 5 V and 5 V.
If the signal to quantization noise ratio required in uniformly quantizing the signal is 43.5 dB, the step size (in V) of the quantization is approximately
During transmission over a certain binary communication channel, bit errors occur independently with probability p. The probability of at most one bit in error in a block of n bits is given by
For a telephone line, β= 0.02rad/km. If frequency is 1 kHz. Calculate time taken to travel 3.14 km by the wave in µs
The Laplace transform of i(t) is given by I(s) = 2/s(1 + s) . As t ⟶∞, the value of i(t) tends to be (Answer up to the nearest integer)
A 1MHz uniform plane wave propagates through fresh water for which σ = 0,μ_{r} = 1,ε_{r} =1 Calculate wavelength in meters.
The number of product terms in the minimised sumofproduct expression obtained through the following Kmap is
(where "d" denotes do not care states)
(Answer up to the nearest integer)
Which of the following coding scheme is most suitable for coding the successive positions in 8position digital shaft encoder?
A transmission line is feeding 1 Watt of power to a horn antenna having a gain of 10 dB. The antenna is matched to the transmission line. The total power (in Watt) radiated by the horn antenna into the free space is (Answer up to the nearest integer)
ln INTEL 8085, suppose the peripheral mapped l/O has address length of M and memory mapped l/O address length of N. Then M+N =_______.
The feedback configuration and the polezero locations of
are shown below. The root locus for negative values of k i.e. for ∞ < k < 0 has breakaway/breakin points and angle of departure at pole P (with respect to the positive real axis) is equal to
A 70 kHz bandwidth is to accommodate 7 AM broadcast signals simultaneously. The maximum modulation frequency must each station be limited to _____ kHz. Assume that a guard band of 5 kHz is also present.
2 discrete time systems with impulse responses h_{1}[n] = δ[n  1] and h_{2}[n] = δ[n  2] are connected in cascade. The overall impulse response of the cascaded system is
Consider two real valued signals, x(t) bandlimited to [−500 Hz, 500Hz] and y(t) bandlimited to [−1kHz, 1kHz]. For z (t) = x(t). y(t), the Nyquist sampling frequency (in kHz) is __________
Consider the following statements:
Any element connected in
Series with an ideal current source is redundant.
Parallel with an ideal current source is redundant.
Series with an ideal voltage source is redundant.
Parallel with an ideal voltage source is redundant.
Which of the above statements is/are correct?
A discrete time signal with input as x[n] has impulse response h[n] = kδ[n] where k is constant. The output y[n] of the system is given as:
A secondorder system has the transfer function C(s)/R(s) = 4/(s^{2} + 4s + 4) with r(t) as the unitstep function. The response c(t) of the system is represented by
For the given system, determine the overall response Y(s) of the system corresponding to both inputs.
Consider the Schmidt trigger circuit shown below. A triangular wave which goes from 12 V to 12 V is applied to the inverting input of OPMAP. Assume that the output of the OPAMP swings from +15 V to 15 V. The voltage at the noninverting input switches between
A junction diode is fabricated in which the p and n regions are doped equally with 5 × 10^{16} atoms/cm^{3}. Assume n_{i}= 1.5 × 10^{10}/cm^{3}. If the crosssectional area of the junction is 20 μm^{2}, the magnitude of the charge stored on either side of the junction while no external bias being applied would be – (Assume ∈s= 1.04 x 10^{14} F/cm, V_{0} (barrier potential) = 0.78V )
A linear, timeinvariant and causal continuous time system has a rational transfer function with simple poles at s = 2 and s = 4 and one simple zero at s = 1. A unit step u(t) is applied at the input of the system. At steady state, the output has a constant value of 1. The impulse response of this system is
Two ideal pn junction have exactly the same electrical and physical parameters except for the band gap of the semiconductor materials. The first has a bandgap energy of 0.525 eV and a forwardbias current of 10 mA with V_{a} =0.255 V. The second pn junction diode is to be designed such that the diode current I = 10μA at a forwardbias voltage of V_{a} = 0.32 V. The bandgap energy of second diode would be_____ (eV)
Assuming all flipflops are in reset condition initially, the count sequence observed at Q_{A} in the circuit shown is
Calculate the hysteresis width (in Volts) for an inverting Schmitt trigger with feedback fraction 0.5. Assume the supply voltage to be 10V.
Consider the below DTL NAND gate with A, B, C at logic 1 and the BJT Q is in saturation with = 0.8 V, = 0.2 V and h_{FE} = 30. If all the diodes have forward conducting voltage of 0.7 V, then what will be the fanout of the DTL NAND gate?
(Answer up to the nearest integer)
Let Q√γ be the BER of a BPSK system over an AWGN channel with twosided noise power spectral density N_{0}/2. The parameter γ is a function of bit energy and noise power spectral density.
A system with two independent and identical AWGN channels with noise power spectral density N_{0}/2 is shown in the figure. The BPSK demodulator receives the sum of outputs of both the channels.
If the BER of this system is Q b√γ,then the value of b is _____________.
For the matrix , the Eigen value corresponding to the Eigen vector is (Answer up to the nearest integer)
A biliary symmetric channel (BSC) has a transition probability of 1/8. If the binary transmit symbol X is such that P(X = 0) = 9/10, then the probability of error for an optimum receiver will be
Consider the first order initial value problem
y' = y + 2x  x^{2}, y(0) = 1, (0 ≤ x ≤ ∞ )
with exact solution y(x) = x^{2} + e^{x}, For x = 0.1, the percentage difference between the exact solution and the solution obtained using a single iteration of the secondorder RungeKutta method with stepsize h = 0.1 is ______________.
(Answer up to two decimal places)
A 15 A source is operating at 100 MHz and feeds a Hertzian dipole of length 6mm situated at origin of space, determine electric field at P (4, 30^{0}, 90^{0})
The openloop transfer function of a unity feedback system is G(s) = k/s(s + 4) . If gain k is increased to infinity, then, the corresponding damping ratio will be
(Answer up to the nearest integer)
The divide by N counter is shown below. If initially Q_{0} = 0, Q_{1} = 1, Q_{2} = 0 the value of N is _______.
Consider a standard negative feedback configuration with G(s) = 1/(s + 1)(s + 2) and H(s) = (s + α)/s For the closed loop system to have a poles on the imaginary axis, the value of α should be equal to ____. (Answer up to the nearest integer)
Consider following connection to the memory
The accessible range of address from memory is
When a plane wave travelling in free space is incident normally on a medium having ε_{r} = 4.0, then the fraction of power transmitted into the medium is given by x/9. Find the value of x.
(Answer up to the nearest integer)
An intrinsic semiconductor bar of Si is doped with donor type impurity to the extent of 1 atom per 10^{8} silicon atoms, then the resistivity of silicon crystal will be (atomic density of Si crystals = 5×10^{22 }atoms /cm^{3} and μ_{n}=1300cm^{2}N−sec )
A 5point sequence x(n) is given as x[–3] = 1, x[–2] = 1, x[–1] = 0, x[0] = 5, x[1] = 1. If X(e^{jω}) denotes the discrete time Fourier transform of x [n], the value of ഽ^{π}_{π}X(e^{jω})dω is ____π (Answer up to the nearest integer)
(D^{2} − 5D + 6)y = e^{x}cosx is a Partial differential equation whose solution is given by
y = C_{1}e^{2x} + C_{2}e^{3x} − Ke^{x}(3sin2x + cos2x)
The value of K is
Consider a twoport network as shown in the figure below.
If the output terminal (2 –2') is short circuited then, input impedence (in Ω) of the network is
(Answer up to two decimal places)
In a certain animal husbandry weight of animals had a distribution as shown in table below:
Mean weight of animals in the husbandry is______.
24 docs263 tests

GATE Mock Test Electronics Engineering (ECE) 7 Test  65 ques 
GATE Mock Test Electronics Engineering (ECE) 8 Test  65 ques 
GATE Mock Test Electronics Engineering (ECE) 9 Test  65 ques 
GATE Mock Test Electronics Engineering (ECE) 10 Test  65 ques 
24 docs263 tests

GATE Mock Test Electronics Engineering (ECE) 7 Test  65 ques 
GATE Mock Test Electronics Engineering (ECE) 8 Test  65 ques 
GATE Mock Test Electronics Engineering (ECE) 9 Test  65 ques 
GATE Mock Test Electronics Engineering (ECE) 10 Test  65 ques 