Basic 1 Full Test

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SCORE CARD TIME MANAGEMENT QUESTIONS REPORT SOLUTION

Solution Report For Full Syllabus Test : 1Represent whole test solution with correct and incorrect answers.

View Your Test Analysis

Q.No

Question Status

Q.1

Not Attempt Correct Ans. b Solution

If the product of two integers 53 and 22 in a specific number system is

1276, then what is the decimal equivalent of the number 4371 in the

same number system?

a. 3323

b. 3223

c. 3232

d. 3213

Q.2

Attempt Correct Correct Ans. c Solution

Choose the pair of words to be placed in the 2 blanks in th e given

sentence so that the completed sentence becomes meaningful.

After having been close friends for more than a decade, they had a

_____ last year and have not _____ each other ever since.

a. fight, talked

b. argument, met

c. dispute, seen

d. quarrel, admired

Q.3

In the sentence that follows, two words or phrases have been

REPORTS

NEWS
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highlighted. One of them or both of them or none of them may have an

error. Identify the option containing a pair of words/phrases that will

make the sentence most meaningful.

While the company make great strides on the environment front, it has

updated its HR policies.

a. make, will update

b. making, updatingc. made, did not update

d. No correction required

Q.4

Attempt Correct Correct Ans. b Solution

Which of the phrases given below should be placed in the blank space so

as to get a meaningful and grammatically correct sentence?

Although information technology has entered the homes, offices and

hearts of many Indian citizens, ________.

a. India provides the highest number of IT experts to the world every year.

b. many people in the rural areas still remain ignorant of its immensebenefits.

c. government has done its best by funding research in this fieldappropriately.

d. the face of communication is likely to change completely in the years tocome.

Q.5

Attempt Correct Correct Ans. 57

Solution

The missing number of the series is ____________.

7 8 18 _____ 232 1165

Q.6

The paying capacity of people who travel on routes connecting smaller

towns is relatively low. Most successful airlines that operate in such

regions have a large number of seats.

Which of the following can be inferred based on the information given

above?

a. Regional airlines are quite profitable.

b. People from cities are increasingly travelling to smaller towns.

c. Regional airlines have to charge low fares in order to cover theircosts due to increased traffic.
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d. The number of people travelling from small towns to cities is very large.

Q.7


Three boxes labeledA, B and C have a total of 249 marbles. If 3 dozen

marbles are transferred from box A to box B, box B will have 5 timesthe number of marbles in box A. Instead, if 21 marbles are transferred

from box B to box C, the number of marbles in box B will be 1.5 times

the number of marbles in box C. How many marbles should be

transferred from box A or B so that the number of marbles in both A

and B is identical?

a. 30 from box A to box B

b. 30 from box B to box A

c. 36 from box A to box B

d. 36 from box B to box A

Q.8

Not Attempt Correct Ans. d Solution

Ifx2 y2 = 702, how many ordered pairs of solutions forx and y exist

such thatx, y are natural numbers?

a. a unique pairb. 2

c. 4

d. no valid solution

Q.9

Attempt Correct Correct Ans. d Solution

A book shelf has 27 books 9 books each written by 3 eminent authors.

If Raj selects any 2 books without looking at their authors name, what is

the probability that he picks up books written by different authors?

a. 13

b. 918

c. 927

d. 913

Q.10
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Attempt Incorrect Your Ans. 2102.4 Correct Ans. 2100

Solution

Venkat earns Rs 18,00,000 per annum which is spent under various

heads as under:

Food : 24%

Transportation and House rent : 19%

Clothing : 9%

Miscellaneous heads : 22%

Savings : 14% Loan installment : Rs18,000 per month.

If he cuts down his expenditure on food by 4.33% and his clothing

expense is down by 4% and the entire saving thus achieved is used to

pay off his loan, then the increase in the monthly installment of loan that

he can afford is Rs ______________ .

Q.11

Attempt Correct Correct Ans. a Solution

The reason why an n -p - n transistor is preferred over ap - n -ptransistor is

a. holes have lower mobility than electrons.

b. holes are not real quantity hence complicated analysis.

c. n -p - n transistor is more immune to noise.

d. n -p - n transistor is easier to fabricate.

Q.12


Let x(t) be a signal whose Laplace transform X (s) is given as

, then the signalx(t) is

a. u(t) 2u(t 2)

b. u(t) u(t 2)

c. u(t 2)

d. tu(t 2)

Q.13

A system has 13 poles and 3 zeros. Its high frequency asymptote in the

magnitude plot has a slope of

a. 200 dB/dec

b. 240 dB/dec

c. 280 dB/dec


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d. 320 dB/dec

Q.14


In time division multiplexing, the noise contribution of PM detector as

compare to FM detector is

a. less

b. more

c. equal

d. unknown

Q.15

Not Attempt Correct Ans. c Solution

The circuit given below is at steady state

The current i1and i2are respectively

a. 2 A, 2 A

b. 2 A, 5 A

c. 5 A, 2 A

d. 2 A, 5 A

Q.16

A full adder circuit is designed using 2 input NAND gates only. If

propagation delay of one NAND gate is 50 nsec. Then maximum number

of additions per second are

a. 2.22 106

b. 3.33 106

c. 20 106

d. 1 106


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Attempt Incorrect Your Ans. a Correct Ans. b

Solution

Q.17


In a crystal oscillator if we choose a frequency which lies between s

and p, where sis the series resonant frequency and pis the parallel

resonance frequency then the reactance of the crystal will appear as

a. Capacitive

b. Resistive

c. Inductive

d. Short circuit

Q.18


The output of a FM modulator is fed to a frequency multiplier by 8 and

then fed to a mixer with local oscillator frequency 12 MHz. If the original

frequency deviation is 25 MHz, then the frequency deviation at the

output of the mixer will be

a. 25 MHz

b. 12 MHz

c. 100 MHz

d. 200 MHz

Q.19


An electric flux density vector is given by

. The volume charge

density v(C/m3) is given by

a. cosy+ 1

b. cosy+ y

c. y

d. 1

Q.20

Letx[n] be a discrete time signal whose z - transform is represented by


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Attempt Incorrect Your Ans. d Correct Ans. b

Solution

X(z). The z - transform of the signal will be

a.

b.

c. X (2z)

d. 2X(2z)

Q.21


The equation (where n0 andp0 are the concentrations of

the n - type andp - type carriers in a given semiconductor and ni is the

intrinsic c arrier concentration) is valid under

a. Thermal equilibrium

b. Thermal variations

c. Electric field

d. No concentration gradient of charge carriers

Q.22

Attempt Incorrect Your Ans. a Correct Ans. c

Solution

A digital computer has a memory unit with 20 bits per word. The

instruction set consists of 120 different operations. Each instruction is

stored in 1 word of memory and consists of operation part and address

part. The number of words can be accommodated by the memory unit

are

a. 220

b. 28

c. 213

d. 27

Q.23


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Let with detA = 1. IfA has no real eigen values, then

a. (a + d )2> 4

b. (a + d )2

< 4c. (a + d )2= 16

d. a + d < 4

Q.24


The Laplace transform of cos (4t) sin (2t) is

a.

b.

c.

d.

Q.25


IfA2A + I = 0, then the inverse ofA is

a. Ab. A + I

c. IA

d. AI

Q.26

The signal flow graph of a control system is given below


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Attempt Correct Correct Ans. 5 Solution

The number of feedback loops in the system are ______.

Q.27

Attempt Incorrect Your Ans. 11 Correct Ans.2.73 (2.60 to 2.80)

Solution

A re sistor R and a capacitor 2 F are connected in series across a 200 V

DC supply. Across the capacitor a neon lamp is connected that turns ON

when voltage across it is 120 V. The value of R to make the Lamp turn

ON 5 sec after the switch closed is ______ M.

Q.28

Attempt Incorrect Your Ans. 3 Correct Ans. 6

Solution

A bank has 3 locks with 1 key for each lock. Each key is owned by a

different person. In order to open the vault atleast two people must insert

their keys into the assigned locks. All the keys are not inserted at the

same time. If the system is to be designed with only two input NAND

gates, then number of NAND gates required are _______.

Q.29


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Solution

A signalx(t) is defined in the range 5 t 5 and has energy of 16 units.

If a new signal y(t) is formed by transforming x(t) and is given as

, then the energy of the new signal y(t) will be

______ units.

Q.30

Not Attempt Correct Ans. 520 Solution

The Nyquist sampling rate for a signal m(t) = cos 200t 2 cos 320t is

_______ Hz.

Q.31

Attempt Incorrect Your Ans. 2 Correct Ans.2.50 (2.40 to 2.60)

Solution

Consider a dielectric (r = 2.25) filled rectangular waveguide with

dimensions a b (a > b). If the cut off frequency of the guide is 4 GHz,

then the value of dimension ais ______ cm.

Q.32

Not Attempt Correct Ans. 44.89 (44.60 to 45.00) Solution

In the figure shown below the minimum value of RB such that the

transistor is operating in active mode is _____ k. (Assume VCE(sat) =

0.2 V and VBE(sat)= 0.8 V).


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Q.33


When a p -n junction is formed it gives rise to formation of a built in

voltage at the junction. If it is given that the difference in the energy level

of the conduction band at the p and n side is 1.12 eV then the built in

potential is _______ V. Given NA= 1016cm3, ni = 1.6 10

15 cm3, 0 =

8.85 1012

F/m,q = 1.6 1019

C}

Q.34


Solution

The area enclosed between the curve y = loge(x + e) and the coordinate

axes is _________.

Q.35


If then the value of div curl at (1, 1, 1) is

___________.

Q.36

Attempt Incorrect Your Ans. b Correct Ans. a

Solution

The random process Z(t) is defined as Z(t) =X + Y where X and Y are

independent random variables.X is uniformly distributed on (1, 1) and Y

is uniformly distributed on (0, 1)

The auto correlation function of Z(t) is Rz(), value ofRz(0) is

a.

b.

c.

d.


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Q.37


The state model of a control system is given by

where,

The system is said to be

a. Undamped

b. Underdamped

c. Overdamped

d. Critically damped

Q.38


The Z11for the network given below is

a. 2.4

b. 0.8

c. 7.2

d. 1.33

Q.39

In the given circuit below
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It was observed that for L = 1 H and C = 1 F, the output of a square wave

is a triangular wave, then the possible value of Z2(s) is

a.

b.

c.

d.

Q.40


An air filled rectangular waveguide with inside dimensions 2 1 cm is

excited with a source of 7 GHz. If the waveguide is operating in dominant

mode, then phase constant inside the waveguide is given by

a. 56.4 rad/m

b. 0 rad/m

c. 146.6 rad/m

d. 28.2 rad/m

Q.41

Consider the circuit given below


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Let = 14, then, the Thevenin equivalents at the terminal a b are

a. 1.87 V, 25

b. 1.87 V, 11

c. 0.54 V, 20

d. 0.54 V, 15

Q.42

Not Attempt Correct Ans. a Solution

Consider a signalx(t) as shown in the figure below.

If a signal y(t) is defined such that , (where

is convolution) then the value of y(0) is

a. 1

b. 2

c. 0

d. 4

Q.43

Consider the following assembly language program. MVI H, 10 H

MVI L, 10 H

LOOP: DCR L


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Attempt Incorrect Your Ans. a Correct Ans. d

Solution

JNZ LOOP

DCR H

JNZ LOOP

If the following program is executed in INTEL 8085 then number of times

the instruction DCR L will be executed is

a. 100

b. 256c. 2320

d. 3856

Q.44

Attempt Incorrect Your Ans. b Correct Ans. d

Solution

Consider the circuit given below

The minimized expression for F (X, Y, Z ) is

a.

b.

c.

d.

Q.45

Consider a series RLC circuit fed from a fixed RMS voltage having

variable frequency. Which of the following graph shows the variation of

net reactance with frequency? (f0is resonant frequency).


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Attempt Incorrect Your Ans. a Correct Ans. c

Solution

a.

b.

c.

d.

Q.46

The region of convergence of a signal x[n] whose z-transform is

represented asX(z), where

a.

b.
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b. 28.8 Mbps

c. 98 Mbps

d. 115.2 Mbps

Q.49

Not Attempt Correct Ans. d Solution

The open loop transfer function of a unity feedback system is

The value of system gain K for which the gain margin is 40 dB.

a. 3

b. 3

c. 12

d. 0.12

Q.50


An antenna has a radiation resistance of 50 and a loss resistance of

10 . If the power gain of antenna is 20, the directivity is given by

a. 24

b. 16.67

c. 20

d. 200

Q.51

Two transistors having very large are connected as shown in figure

below. Assume that


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The output voltage V0is

a. 0.8 V

b. -1.4 V

c. 1.4 V

d. 3.6 V

Q.52

A linear time-invariant system is having impulse response h0(t), input to

the system isx0(t) and output to the system is y0(t),

y0(t) = u(t) u(t 4) [u(t) is the unit step function].

A new input signal x0(t 2) and is applied to the system with impulse

response h(t) = h0(t+ 1). Then the output waveform of the systemy(t) is

a.

b.

c.
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d.

Q.53

Not Attempt Correct Ans. c Solution

Two linearly independent solutions of the homogeneous equation,x2y +

xy +y= 0 , are

a. x3/2,x3/2

b. x2,x2lnx

c. cos (lnx), sin (lnx)

d. excos(x),exsinx

Q.54


If a discrete random variableX has the following probability distribution,

then the standard deviation is

a. 0.5

b. 1

c. 2

d. 2

Q.55


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Not Attempt Correct Ans. a Solution

The value of is

a.b. a

c. 2

d.

Q.56

Not Attempt Correct Ans. 2 (1.90 to 2.10) Solution

Consider the circuit given below.

at t = 0+is ________ V/sec.

Q.57


A closed loop unity feedback system described by the transfer function

If system is subjected to a unit ramp input, the steady state error is

______.


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Q.58


The electric field vector of an uniform plane wave propagating in a

nonmagnetic and lossless medium is given by

The relative permittivity of the medium is _______.

Q.59


Consider the amplifier given below

Assume op-amp to be ideal, the output of the above circuit is given as

V0=A1V1+A2V2

IfA1= 2, then the value ofA2will be _______.

Q.60

Not Attempt Correct Ans. 1 (0.90 to 1.10) Solution

A signal is represented asx(t) whose Laplace transform is denoted byX

(s) where . The value of

signalx(t) at t = 1 sec is ______.

Q.61

A satellite ground station has two amplifiers as shown in below figure.

The effective noise temperature of the combination is ______ K.


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Attempt Incorrect Your Ans. 5000 Correct Ans.120 (119.50 to 120.50)

Solution

Q.62


Consider a circuit given below with initial state Q3Q2 Q1Q0as 1010.

Minimum number of clock pulses required to get the initial state again

are _______.

Q.63

Attempt Incorrect Your Ans. 11.52 Correct Ans.9.65 (9.50 to 9.80)

Solution

Consider a germanium sample which is doped with donor impurities ND

= 5 1013cm3and intrinsic carrier concentrationni = 2.4 1013 cm3

at 300 K. At thermal equilibrium minority carrier concentration in

sample is ______ 1012cm3.

Q.64

A bolt is manufactured by 3 machines A, B and C. Machine A turn out

twice as many items as B, and machines B and C produce equal number

of items. 2% of bolts produced byA and B are defective and 4% of bolts

produced by C are defective. All bolts put into 1 stock pile and 1 is

chosen from this pile. The probability that it is defective is __________

101.


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Not Attempt Correct Ans. 0.25 Solution

Q.65

Attempt Correct Correct Ans. 6.11 (6.05 to 6.20) Solution

The directional derivative of f (x, y, z) =x2 y2 + 2z2 at P (1, 2, 3) in the

direction of line PQ, where Q = (5, 0, 4), is __________.

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