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Solution Report For Full Syllabus Test-18 : Advance LevelRepresent whole test solution w ith correct and incorrect answers.

View Your Test Analysis

Q.No

Question Status

Q.1

Not Attempt Correct Ans. a

SolutionHave any doubt?FAQ?

The maximum number of students, among whom 429 mangoes and 715oranges can be equally distributed, are

a. 143

b. 173

c. 133

d. 193

Q.2

Attempt Correct Correct Ans. c


Choose the most appropriate word from the options given below tocomplete the following sentence: While we ____________ understand therisks, we feel that the tour should continue.

a. deeply

b. hardly

c. fully

d. strongly

Q.3 Given below are 4 pair of words. In 3 of the pairs, the words are having a

meaning similar to each other whereas in one of the pairs, it is the

REPORTS

NEWS





opposite. Identify the option where the words do not have similar meaning.

a. CONTRAPTION - SIMPLE

b. INSCRUTABLE - ENIGMATIC

c. JOCUND - MERRY

d. LOUCHE - INDECENT

Q.4



Given below is a sentence divided in 3 parts labeled a, b and c. One ofthe parts may contain an error grammatical or otherwise. Mark the optionout of these 3 in case any of the 3 parts has an error. If all 3 parts are errorfree, mark d as your answer.

a. When he was asked what is wrong with him,

b. he said that he was not well,

c. and asked for leave of absence for one day.

d. No error

Q.5

Not Attempt Correct Ans. 800


Raja and Joseph start from their school to walk towards their hostel. The

distance covered by Raja in 3 steps is identical to the distance covered by

Joseph in 4 steps while the time taken by both of them to cover a step is

identical. At a particular instance of time when both of them had covered

800 steps each, the distance between them was 300 m. Now, Raja cuts

down the length of his step by 1/3rd and Joseph increase the length of his

step by 20% with time taken to cover a step by both remaining identical.

Both will be at the same spot at the same time in __________ more steps.

Q.6

Attempt Correct Correct Ans. b


Six friends Madan, Manoj, Meher, Milind, Molly and Munish are sittingaround a circular table in such a way that neither Meher nor Milind isopposite to Molly or Munish. Madan is not sitting adjacent to Milind andMolly is to the right of Munish. Who is sitting opposite to Milind?

a. Madan

b. Meher

c. Manoj

d. Molly



Q.7

Not Attempt Correct Ans. d


Ramnathan wanted to buy a few pencils and erasers from the stationary

shop. If each pencil costs Rs 6 and an eraser costs Rs 9, what is the

possible difference in the number of pencils and erasers bought by him if

he decided to spend Rs 57?

a. 7

b. 3

c. 2

d. all of these

Q.8

Not Attempt Correct Ans. c


Two coins are tossed 4 times then the probability that there will be equal

number of heads and tails is

a.

b.

c.

d.

Q.9

Attempt Incorrect Your Ans. a Correct Ans. c


The question below consists of a pair of related words followed by four

pairs of words. Select the pair the best expresses the relation in the

original pair.

DAMPEN : RESTRAIN

a. Stagnate : Flow

b. Purify : Liquify

c. Dilate : Expand

d. Melt : Disband

Q.10 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



Attempt Incorrect Your Ans. 24 Correct Ans. 6


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 who 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 ____________.

Q.11

Not Attempt Correct Ans. b


Consider the circuit given below

Maximum power that can be transferred to RL is

a. 4 mW

b. 0.1 W

c. 1 mW

d. 0.4 W

Q.12 In the figure shown below

The type of feedback is

a. Voltage - shunt

b. Current - shunt

c. Current - series

d. Voltage - series



Attempt Correct Correct Ans. d


Q.13

Attempt Correct Correct Ans. a


Consider each gate has finite propagation delay in the circuit shown below.

The circuit works as clock generator the if

a. X = 0

b. X = 1

c. X = Y

d. X = 0 or 1

Q.14



The odd component of the signal x(t) = ejt is

a. sin t

b. cos t

c. j sin t

d. j cos t

Q.15



The leakage current of a transistor are ICBO = 1 A and ICEO = 0.1 mA. If IB =

10 A, then the value of is

a. 100

b. 99

c. 101

d. 98

Q.16 The unit step response of a second order linear system with zero initial

state is given by

c(t) = 1+1.2 exp ( 6t) sin(8t tan11.33); t 0.

The damping ratio and undamped natural frequency of oscillation is



Attempt Correct Correct Ans. a


respectively

a. 0.6 and 10 rad/sec

b. 0.8 and 8 rad/sec

c. 0.6 and 8 rad/sec

d. 0.8 and 10 rad/sec

Q.17



The value of R in the circuit shown below so that the current in branch CD is

zero is

a. 20

b. 30

c. 40

d. 50

Q.18



The circuit shown below the output voltage is

a. V2 V1

b. V2 + V1

c. 2(V2 V1)

d. 2(V2 + V1)

Q.19 In a reverse biased semi-conductor p -n junction diode, if the depletion





width doubles then it can be inferred that the

a. reverse voltage is doubled.

b. reverse voltage is 4 times the previous value.

c. reverse voltage is one fourth of the previous value.

d. reverse voltage have be removed.

Q.20



The impulse response of a system is h(t) = t u(t). For an input u(t 1), the

output is

a.

b.

c.

d.

Q.21



A 1 kHz sinusoidal signal is ideally sampled at 1400 samples/sec and thesampled signal is passed through an ideal low-pass filter with cut-offfrequency 700 Hz. The output signal has the frequency

a. 0 kHz

b. 0.4 kHz

c. 0.6 kHz

d. 0.8 kHz

Q.22 A pair of fair dice is thrown independently three times. The probability ofgetting a score of exactly 9 twice is

a.

b.





c.

d.

Q.23



The solution of the differential equation yd x + (x + x 2y)dy = 0 is

a.

b.

c.

d. logy = Cx

Q.24

Attempt Incorrect Your Ans. 1.414 Correct Ans. 2


The transfer function of a network can be written as . The

maximum phase angle occurs at a frequency of _______ rad/sec.

Q.25

Not Attempt Correct Ans. 9.60 (9.00 - 10.00)


Consider a short dipole operating at 5 MHz. The distance at whichmagnitude of induction and radiation fields are equal is ____________ m.(Assume air medium)

Q.26


If a feedback control system has its open loop transfer function

and its root locus plot intersects the

imaginary axis at s = 0; then the value of K at this point will be ________.




Q.27

Attempt Correct Correct Ans. 4


A signal x(t) and its transformed signal y(t) are shown in figure below.

If y (t) = x(at + 20) then the value of a is _______ .

Q.28

Attempt Correct Correct Ans. 13.20 (13.00 - 13.50)


Consider the parallel R, L, C circuit given below.

= _______ A

Q.29



The forward path transfer function of a unity feedback system is given by

The gain cross over frequency, if phase margin of the system is 5 is

_______ rad/sec

Q.30



A linear delta modulator is designed operate on speech signals limited to

3.4 kHz and step size of 100 mV. If modulator is tested with a 1 kHz

sinusoidal signal the maximum amplitude of the test signal permissible to

avoid slope overload is _______ V.

(Assume that signal is sampled at 10 times of Nyquist rate)

Q.31





If the drift velocity of holes under a electric field gradient of 100 V/m is 5

m/s, then their mobility is ______ cm2/V-sec

Q.32



Consider the two port circuit given below

hybrid parameter h12 for the circuit is ________ .

Q.33



An elliptically polarized wave travelling in the +z direction in a medium,

which has r = 2.3 and r = 3.5 is

Ex = 2 sin(t z) V/m

Ey = 4 sin (t z + 75) V/m

The average power conveyed by the wave in an area of 2 m2 is ______mW.

Q.34



Let 1 be a cube root of unity and S be the set of all non-singular

matrices of the form where each of a, b and c is either or

2. Then the number of distinct matrices in the set S is _____.

Q.35 The Newton-Raphson method is used to find the roots of the equation

f(x) = x cos x 0 x 1

If the initial guess for the root is 0.5, then the value of x after the first





iteration is ___________.

Q.36



If an amplifier with gain of 1000 and feedback of = 0.1 has a gain

change of P% due to temperature and change in close loop gain of the

feedback amplifier is 0.2%.

The value of P is

a. 0

b. 5

c. 10

d. 20

Q.37



A resistive load is connected in series with a choke coil of internalresistance 5 across a power supply of 400 V, 50 Hz. A current of 20 A ispassing through load having a potential difference of 100 V across it. Thevalue of inductance and power factor circuit are respectively.

a. 110.32 mH, 0.5 lag

b. 55.16 mH, 0.5 lag

c. 73.22 mH, 0.64 lead

d. 146.44 mH, 0.64 lag

Q.38



If the z-transformed function is

The inverse z transform is

a. [1 (eT )n + 1] u[n 1]

b. [1 (eT)n - 1] u[n]

c. [1 (eT )n - 1] u[n 1]

d. [1 + (eT )n - 1] u[n 1]

Q.39 Consider the circuit below. Which one of the following options correctly





represents f (X, Y, Z)?

a. Y(X + Z )

b. X(Y + Z )

c. Y(X + Z )

d. X(Y + Z )

Q.40



Let X and Y are independent random variable. Given that X has a uniform

distribution over 1 x 1 and Y = 2 and Y2 = 6. Another random process

W(t) is defined as W(t) = (Y + 3Xt) t

The mean square value of W(t) is

a. 0

b. 6 t 2

c. 3t 4

d. 6t 2 + 3t 4

Q.41 Consider the circuit shown in the figure below

The diode in the circuit are ideal. Determine which of the following

statements are true about the circuit.

a. Initially

D1 was ON and

D1 turned OFF at

t > .



Attempt Incorrect Your Ans. d Correct Ans. a


b. Initially

D1 was ON and

D1 turned OFF at

t = .

c. Initially

D2 was ON and

D2 turned OFF at

t > .

d. Initially

D2 was ON and

D2 turned OFF at

t = .

Q.42



Given two binary FSK signals.

The minimum frequency separation of these two signals such that they are

orthogonal is

a.

b.

c.

d. None of these

Q.43



Consider the circuit given below with initial state Q0 = 1, Q2 = Q1 = 0.

The state of the circuit is given by the value 4Q2 + 2Q1 + Q0. The output

states are

a. 1, 3, 4, 6, 7, 5, 2

b. 1, 2, 5, 3, 7, 6, 4

c. 1, 2, 7, 3, 5, 6, 7

d. 1, 3, 5, 7, 2, 6, 4

Q.44A signal x(t) = is





a. Periodic with period T = 1 unit

b. Non-periodic

c. Periodic with period T = 2 units

d. Periodic with period T = 5 units

Q.45



Consider the figure given below. (Assume VT = 25 mV and = 100)

The voltage gain of the circuit is

a. 200

b. 400

c. 200

d. 400

Q.46

Attempt Incorrect Your Ans. a Correct Ans. b


Consider an n-type silicon semiconductor. If the electric field intensityapplied to the material is increased from 2,000 V/cm to 8,000 V/cm, themobility of free electrons shall multiply by the factor.

a. 2

b.

c.

d.

Q.47



A amplitude modulated signal is converted into an SSB-SC signal by usingfrequency discrimination method. If the percentage power saving is foundto be 87.35%, the modulation index can be

a. 0.823

b. 1.432

c. 0.923

d. 0.532



Q.48



A plane wave is incident normally from air onto dielectric ( = 0, = r 0). If

the electric field of transmitted wave is 4 times the electric field of the

reflected wave, the value of r of dielectric is

a. 4

b. 2

c. 2.25

d. 1.5

Q.49 The magnitude plot of the Fourier transform of the signal

is

a.

b.

c.



Attempt Correct Correct Ans. d


d.

Q.50



Consider an air-filled rectangular waveguide with dimensions a b (a > b)

positioned along z axis as shown in the figure

Let Ex, Ey, Ez are electric field components along x, y, z directions

respectively and Hx, Hy, Hz are magnetic field components along x, y, z

directions respectively. The non-zero field components exist for dominant

mode propagation are (Assume propagation along z -direction)

a. Ex, Ey, Hx, Hz

b. Ey, Hy, Hz

c. Ex, Hx, Hz

d. Ey, Hx, Hz

Q.51



is

a.

b.

c.

d. 0

Q.52

The area of the region bounded by the curves y = and y = 3 - is





a. 2 sq. units

b. 3 sq. units

c. 4 sq. units

d. 6 sq. units

Q.53



The Laplace transform of f (t) shown in the figure is

The value of A + B + C + D is ________ .

Q.54



The impedance looking into nodes 1 and 2 in the given circuit is _____ .

Q.55



In the figure shown

The value of V1 for which Vout = 0 V will be _________ V.

Q.56

Not Attempt Correct Ans. 115.50 (115 - 116)


In the circuit given below, the charge on capacitor at t = 0 sec is 90 C.

The charge on the capacitor at t = 10 msec is ______ C.

Q.57 The black box given in the figure below is designed using only 2 input basic

gates





The function f (A, B, C) = 1, whenever A, B are different and 0 otherwise. In

addition all the 3 inputs A, B, C are never same. The minimum total number

of gates required are _______.

Q.58



The transient response of a second order system when subjected to unit

step input is found to have a peak overshoot of 16.2%, occurring at time t =

. If the system is subjected to a sinusoidal input of 1 V, then the

input frequency at which the steady state response will have maximum

value is _______ rad/sec.

Q.59



Let x[n] be a discrete time signal whose 4-point DFT is x[k] = {6, 2 + j2, 2,

2 2j}, the value of x[1] is _______.

Q.60

Not Attempt Correct Ans. 54.14 (54.00 - 54.50


The switch s1 is closed at t = 0 sec and switch s2 closed at t = 2 msec

The magnitude of voltage v(t) across the inductor at t = 200 msec is ______

V.

Q.61



The circuit given below is used by INTEL 8085 to generate to a chip select

logic

The size of memory can be addressed is ______ Bytes.



Q.62



Consider the block diagram shown below

Value of so that the step response has a maximum overshoot of 10% is

equal to_____.

Q.63



A sampled signal that varies between 2 V and +2 V is quantized using B

bits. It is to be ensured that rms quantization error should be less than 5

mV. Value of B is ______ .

Q.64

Not Attempt Correct Ans. -12


Taking for granted the general solution of is of

the form y = At 2 + Bt 3 for appropriate constants A and B, the value of y (2),

where y is the solution that also satisfies y (1) = 2 and y(1) = 1, is

____________.

Q.65

Attempt Incorrect Your Ans. 60 Correct Ans. 1.04 (0.90 - 1.20)


If A = be such that A + A = I, then is equals to _____.

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