Q. 1 – Q. 5 carry one mark each.
Q.1 Based on the given statements, select the appropriate
option with respect to grammar and usage.
Statements
(i) The height of Mr. X is 6 feet.
(ii) The height of Mr. Y is 5 feet.
(A) Mr. X is longer than Mr. Y.
(B) Mr. X is more elongated than Mr. Y.
(C) Mr. X is taller than Mr. Y.
(D) Mr. X is lengthier than Mr. Y.
Answer:(C)
Q.2 The students ___________ the teacher on teachers’
day for twenty years of dedicated teaching.
(A) facilitated (B) felicitated
(C) fantasized (D) facillitated
Answer:(B)
Q.3 After India’s cricket world cup victory in 1985,
Shrotria who was playing both tennis and cricket
till then, decided to concentrate only on cricket. And the rest is history.
What does the underlined phrase mean in this context?
(A) history will rest in peace (B) rest is recorded in history books
(C) rest is well known (D) rest is archaic
Answer:(C)
4.Given (9 inches)½= (0.25 yards)½
,which one of the following statements is TRUE?
(A) 3 inches = 0.5 yards (B) 9 inches = 1.5 yards
(C) 9 inches = 0.25 yards (D) 81 inches = 0.0625 yards
Answer:(C)
Q.5 S, M, E and F are working in shifts in a team to finish a
project. M works with twice the efficiency of others but for
half as many days as E worked. S and M have 6 hour shifts
in a day, whereas Eand F have 12 hours shifts. What is the
ratio of contribution of M to contribution of E in the
project?
(A) 1:1 (B) 1:2
(C) 1:4 (D) 2:1
Answer:(B)
Answer:(D)
Answer:(A)
Answer:(D)
Answer:(C)
Q.10 A wire of length 340 mm is to be cut into two parts.
One of the parts is to be made into a square and
the other into a rectangle where sides are in the ratio
of 1:2. What is the length of the side of the
square (in mm) such that the combined area
of the square and the rectangle is a MINIMUM?
(A) 30 (B) 40 (C) 120 (D) 180
Answer:(B)
Answer:(C)
Answer:(1.45 : 1.55 )
Answer:(2.9 : 3.1)
Q.30 In the given circuit, each resistor has a
value equal to 1 Ω.
Answer:(D)
Answer:(4.9 : 5.1 )
Q.32 A continuous-time filter with transfer function H(s)
so that the impulse response of the
continuous-time filter, sampled at 2 Hz, is identical at
the sampling instants to the impulse response
of the discrete time filter. The value of k is ________
Answer:(0.04 : 0.06 )
Q.33 The Discrete Fourier Transform (DFT) of the 4-point sequence
x[n] = {x[0], x[1], x[2], x[3]} = {3, 2, 3, 4} is
X[k] = {X[0], X[1], X[2], X[3]} = {12, 2j, 0, −2j}.
Answer:(5.9 : 6.1 )
Answer:(99 : 101 )
Answer:(B)
Answer:(C)
Answer:( 30:34 )
Q.38 Consider a long-channel NMOS transistor with
source and body connected together. Assume that
the electron mobility is independent of
Answer:(1.18 : 1.22)
Q.39 The figure shows a half-wave rectifier
with a
Answer:(1.9 : 2.2)
Answer:(0.7 : 0.9 )
Q.41 An opamp has a finite open loop voltage gain of 100.
Its input offset voltage
The output voltage (in millivolts) is ________
Answer:(400 : 425)
Q.42 An 8 Kbyte ROM with an active low Chip
Select input (CS) is to be used in an 8085
microprocessor based system. The ROM should occupy
the address range 1000H to 2FFFH. The
address lines are designated
Answer:(A)
Q.43 In an N bit flash ADC, the analog voltage is fed
simultaneously to
comparators. The output of the comparators is then
encoded to a binary format using digital circuits. Assume
that the analog voltage source Vin (whose output is being
converted to digital format) has a source resistance of
75 Ω as shown in the circuit diagram below and the input
capacitance of each comparator is 8 pF. The input must
settle to an accuracy of 1/2 LSB even for a full scale input
change for proper conversion. Assume that the time taken
by the thermometer to binary encoder is negligible.
If the flash ADC has 8 bit resolution, which one of the
following alternatives is closest to the
maximum sampling rate ?
(A) 1 megasamples per second
(B) 6 megasamples per second
(C) 64 megasamples per second
(D) 256 megasamples per second
Answer:(A)
Q.44 The state transition diagram for a finite state
machine with states A, B and C, and binary inputs X,
Y and Z, is shown in the figure.
Which one of the following statements is correct?
(A) Transitions from State A are ambiguously defined.
(B) Transitions from State B are ambiguously defined.
(C) Transitions from State C are ambiguously defined.
(D) All of the state transitions are defined unambiguously.
Answer:(C)
Answer:(0.95 : 1.05)
Answer:(59.5 : 60.5)
Answer:(0.95 : 1.05 )
Answer:(-1.01 : -0.99)
Q.49 An ideal band-pass channel 500 Hz - 2000 Hz is
deployed for communication. A modem is designed to
transmit bits at the rate of 4800 bits/s using 16-QAM.
The roll-off factor of a pulse with a raised cosine spectrum
that utilizes the entire frequency band is ________
Answer:(0.24 : 0.26)
Q.50 Consider a random process X(t) = 3V(t) − 8,
where V(t) is a zero mean stationary random
process with autocorrelation
Answer:( 99 : 101 )
Q.51 A binary communication system makes use
of the symbols “zero” and “one”. There are channel
errors. Consider the following events:
Answer:(0.80 : 0.82)
Q.52 The parallel-plate capacitor shown in the figure
has movable plates.
Answer: (A)
Q.53 A lossless microstrip transmission line consists
of a trace of width w. It is drawn over a practically
infinite ground plane and is separated by a dielectric
slab of thickness t and relative permittivity
Answer:(B)
Q.54 A microwave circuit consisting of lossless transmission
lines
Answer:(0.09 : 0.11 )
Q.55 A positive charge q is placed at x = 0 between
two infinite metal plates placed at x = −d and at
x = +d respectively. The metal plates lie in the yz plane
The charge is at rest at t = 0, when a voltage +V
is applied to the plate at – d and voltage −V is
applied to the plate at x = +d. Assume that the
quantity of the charge q is small enough that it does
not perturb the field set up by the metal plates. The
time that the charge q takes to reach the right
plate is proportional to
Answer:(C)
END OF THE QUESTION PAPER
Q.1 Based on the given statements, select the appropriate
option with respect to grammar and usage.
Statements
(i) The height of Mr. X is 6 feet.
(ii) The height of Mr. Y is 5 feet.
(A) Mr. X is longer than Mr. Y.
(B) Mr. X is more elongated than Mr. Y.
(C) Mr. X is taller than Mr. Y.
(D) Mr. X is lengthier than Mr. Y.
Answer:(C)
Q.2 The students ___________ the teacher on teachers’
day for twenty years of dedicated teaching.
(A) facilitated (B) felicitated
(C) fantasized (D) facillitated
Answer:(B)
Q.3 After India’s cricket world cup victory in 1985,
Shrotria who was playing both tennis and cricket
till then, decided to concentrate only on cricket. And the rest is history.
What does the underlined phrase mean in this context?
(A) history will rest in peace (B) rest is recorded in history books
(C) rest is well known (D) rest is archaic
Answer:(C)
4.Given (9 inches)½= (0.25 yards)½
,which one of the following statements is TRUE?
(A) 3 inches = 0.5 yards (B) 9 inches = 1.5 yards
(C) 9 inches = 0.25 yards (D) 81 inches = 0.0625 yards
Answer:(C)
Q.5 S, M, E and F are working in shifts in a team to finish a
project. M works with twice the efficiency of others but for
half as many days as E worked. S and M have 6 hour shifts
in a day, whereas Eand F have 12 hours shifts. What is the
ratio of contribution of M to contribution of E in the
project?
(A) 1:1 (B) 1:2
(C) 1:4 (D) 2:1
Answer:(B)
Answer:(D)
Answer:(A)
Answer:(D)
Answer:(C)
Q.10 A wire of length 340 mm is to be cut into two parts.
One of the parts is to be made into a square and
the other into a rectangle where sides are in the ratio
of 1:2. What is the length of the side of the
square (in mm) such that the combined area
of the square and the rectangle is a MINIMUM?
(A) 30 (B) 40 (C) 120 (D) 180
Answer:(B)
Q. 1 – Q. 25 carry one mark each.
has zero as an eigenvalue is ________
Answer:(0.95 : 1.05)
Q.2 Consider the complex valued function
where z is a complex variable.
The value of b for which the function f(z) is analytic is ________
Answer:(0.0 : 0.0)
Q.3
Answer:(B)
Q.4 How many distinct values of x satisfy the equation
sin(x) = x/2, where x is in radians?
(A) 1 (B) 2 (C) 3 (D) 4 or more
Answer:(C)
Answer:(90 : 90 )
Answer:(B)
Q.7 The switch has been in position 1 for a long time and abruptly
changes to position 2 at t = 0.
If time t is in seconds, the capacitor voltage Vc (in volts) for t > 0 is given by
(A) 4(1 − exp(−t/0.5))
(B) 10 − 6 exp(−t/0.5)
(C) 4(1 − exp(−t/0.6))
(D) 10 − 6 exp(−t/0.6)
Answer:(D)
Q.8 The figure shows an RLC circuit with a sinusoidal
current source.
Answer:(0.30 : 0.34 )
Q.9 The z-parameter matrix for the two-port network
shown is
Answer:(2.98 : 3.02 )
Q.10 The energy of the signal x (t) =
Answer:(0.24 : 0.26)
Q.11 The Ebers-Moll model of a BJT is valid
(A) only in active mode
(B) only in active and saturation modes
(C) only in active and cut-off modes
(D) in active, saturation and cut-off modes
Answer:(D)
Answer:(D)
Answer:(0.25 : 0.25 )
Answer:(570 : 610 )
Q.15 Which one of the following statements is correct
about an ac-coupled common-emitter amplifier
operating in the mid-band region?
(A) The device parasitic capacitances behave like open
circuits, whereas coupling and bypass capacitances
behave like short circuits.
(B) The device parasitic capacitances, coupling capacitances
and bypass capacitances behave like open circuits.
(C) The device parasitic capacitances, coupling capacitances
and bypass capacitances behave like short circuits.
(D) The device parasitic capacitances behave like short
circuits, whereas coupling and bypass capacitances
behave like open circuits.
Answer: (A)
Q.16 Transistor geometries in a CMOS inverter have
been adjusted to meet the requirement for worst
case charge and discharge times for driving a load
capacitor C. This design is to be converted to
that
of a NOR circuit in the same technology, so that its
worst case charge and discharge times
while driving the same capacitor are similar. The channel
lengths of all transistors are to be kept
unchanged. Which
one of the following statements is correct?
(A) Widths of PMOS transistors should be doubled,
while widths of NMOS transistors should be halved.
(B) Widths of PMOS transistors should be doubled,
while widths of NMOS transistors should not be changed.
(C) Widths of PMOS transistors should be halved, while
widths of NMOS transistors should not be changed.
(D) Widths of PMOS transistors should be unchanged,
while widths of NMOS transistors should be halved.
Answer:(B)
Answer:(1.45 : 1.55 )
Answer:(A)
Q.19 The response of the system G(s) = s−2/(s+1)(s+3)
to the unit step input u(t) is y(t).
The value of dy/dt
at t = 0+ is _________
Answer:(0.96 : 1.04)
Q.20 The number and direction of encirclements around
the point −1 + j0 in the complex plane by the
Nyquist plot of G(s) = 1−s/4+2s
is
(A) zero. (B) one, anti-clockwise.
(C) one, clockwise. (D) two, clockwise.
Answer:(A)
Q.21 A discrete memoryless source has an alphabet
with corresponding probabilities {1/2, 1/4, 1/8, 1/8}
The minimum required average codeword length in
bits to represent this source for
error-free reconstruction is ________
Answer:(1.74 : 1.76 )
Q.22 A speech signal is sampled at 8 kHz and
encoded into PCM format using 8 bits/sample. The PCM
data is transmitted through a baseband channel via 4-level
PAM. The minimum bandwidth (in kHz)
required for transmission is ________
Answer:(15.9 : 16.1)
Q.23 A uniform and constant magnetic field
(A) Helical motion in the z direction.
(B) Circular motion in the xy plane.
(C) Linear motion in the z direction.
(D) Linear motion in the x direction.
Answer:(A)
(A) The type of polarization of the wave.
(B) The group velocity of the wave.
(C) The phase velocity of the wave.
(D) The power flux through the z = 0 plane
Answer:(D)
Answer:( 32:33 )
Q.26 The ordinary differential equation
dx/dt = −3 x + 2, with x(0) = 1
is to be solved using the forward Euler method.
The largest time step that can be used to solve the
equation without making the numerical solution
unstable is ________
Answer:(0.6 : 0.7 )
Q.27 Suppose C is the closed curve defined as
the circle
over the curve C equals ________
Answer:(-0.03 : 0.03)
Q.28 Two random variables X and Y are
distributed according to
Answer:(0.32 : 0.34)
Q.28 Two random variables X and Y are
distributed according to
Answer:(0.32 : 0.34)
Answer:(2.9 : 3.1)
Q.30 In the given circuit, each resistor has a
value equal to 1 Ω.
Answer:(D)
Answer:(4.9 : 5.1 )
Q.32 A continuous-time filter with transfer function H(s)
so that the impulse response of the
continuous-time filter, sampled at 2 Hz, is identical at
the sampling instants to the impulse response
of the discrete time filter. The value of k is ________
Answer:(0.04 : 0.06 )
Q.33 The Discrete Fourier Transform (DFT) of the 4-point sequence
x[n] = {x[0], x[1], x[2], x[3]} = {3, 2, 3, 4} is
X[k] = {X[0], X[1], X[2], X[3]} = {12, 2j, 0, −2j}.
Answer:(5.9 : 6.1 )
Answer:(99 : 101 )
Answer:(B)
Answer:(C)
Answer:( 30:34 )
Q.38 Consider a long-channel NMOS transistor with
source and body connected together. Assume that
the electron mobility is independent of
Answer:(1.18 : 1.22)
Q.39 The figure shows a half-wave rectifier
with a
Answer:(1.9 : 2.2)
Answer:(0.7 : 0.9 )
Q.41 An opamp has a finite open loop voltage gain of 100.
Its input offset voltage
The output voltage (in millivolts) is ________
Answer:(400 : 425)
Q.42 An 8 Kbyte ROM with an active low Chip
Select input (CS) is to be used in an 8085
microprocessor based system. The ROM should occupy
the address range 1000H to 2FFFH. The
address lines are designated
Answer:(A)
Q.43 In an N bit flash ADC, the analog voltage is fed
simultaneously to
comparators. The output of the comparators is then
encoded to a binary format using digital circuits. Assume
that the analog voltage source Vin (whose output is being
converted to digital format) has a source resistance of
75 Ω as shown in the circuit diagram below and the input
capacitance of each comparator is 8 pF. The input must
settle to an accuracy of 1/2 LSB even for a full scale input
change for proper conversion. Assume that the time taken
by the thermometer to binary encoder is negligible.
If the flash ADC has 8 bit resolution, which one of the
following alternatives is closest to the
maximum sampling rate ?
(A) 1 megasamples per second
(B) 6 megasamples per second
(C) 64 megasamples per second
(D) 256 megasamples per second
Answer:(A)
Q.44 The state transition diagram for a finite state
machine with states A, B and C, and binary inputs X,
Y and Z, is shown in the figure.
Which one of the following statements is correct?
(A) Transitions from State A are ambiguously defined.
(B) Transitions from State B are ambiguously defined.
(C) Transitions from State C are ambiguously defined.
(D) All of the state transitions are defined unambiguously.
Answer:(C)
Answer:(0.95 : 1.05)
Answer:(59.5 : 60.5)
Answer:(0.95 : 1.05 )
Answer:(-1.01 : -0.99)
Q.49 An ideal band-pass channel 500 Hz - 2000 Hz is
deployed for communication. A modem is designed to
transmit bits at the rate of 4800 bits/s using 16-QAM.
The roll-off factor of a pulse with a raised cosine spectrum
that utilizes the entire frequency band is ________
Answer:(0.24 : 0.26)
Q.50 Consider a random process X(t) = 3V(t) − 8,
where V(t) is a zero mean stationary random
process with autocorrelation
Answer:( 99 : 101 )
Q.51 A binary communication system makes use
of the symbols “zero” and “one”. There are channel
errors. Consider the following events:
Answer:(0.80 : 0.82)
Q.52 The parallel-plate capacitor shown in the figure
has movable plates.
Answer: (A)
Q.53 A lossless microstrip transmission line consists
of a trace of width w. It is drawn over a practically
infinite ground plane and is separated by a dielectric
slab of thickness t and relative permittivity
Answer:(B)
Q.54 A microwave circuit consisting of lossless transmission
lines
Answer:(0.09 : 0.11 )
Q.55 A positive charge q is placed at x = 0 between
two infinite metal plates placed at x = −d and at
x = +d respectively. The metal plates lie in the yz plane
The charge is at rest at t = 0, when a voltage +V
is applied to the plate at – d and voltage −V is
applied to the plate at x = +d. Assume that the
quantity of the charge q is small enough that it does
not perturb the field set up by the metal plates. The
time that the charge q takes to reach the right
plate is proportional to
Answer:(C)
END OF THE QUESTION PAPER