ece_gate_practice test papers_1-5.pdf

GATECounsellor RcPP1

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EC: Electronics & Communication Engineering

Duration: Three Hours Maximum Marks: 100

Read the Instructions carefully.

1. This question paper contains 22 pages.

2. All Questions in this Paper are Objective type.

3. There are a total of 65 questions carrying 100 marks.

4. Questions 1 – 25 will carry 1-mark each, questions 26 – 55 carry 2-marks

each.

5. Questions 50 – 51 are common data questions and question pairs (52 – 53)

and (54 –55) are linked answer questions. The answer to the second

questions of the linked answer question depends on the answer to the first

question of the pair. If the first question is wrongly answered or is un-

attempted, then the answer to the second question will not be evaluated.

6. Questions 56 – 65 belong to general aptitude (GA). Questions 56 – 60 will

carry 1-mark each, and questions 61 – 65 will carry 2-marks each. The GA

questions will begin on a fresh page starting from page 20.

7. Un-attempted questions will carry zero marks.

8. Wrong answers will carry NEGATIVE marks. For Questions 1 – 25 and

Questions 56 – 60, 1/3 mark will be deducted for each wrong answer. For

Questions 26 – 51 and Questions 61 – 65,2/3 mark will be deducted for

each wrong answer.

9. The questions pairs (52 – 53), and (54 – 55) are questions with linked

answers. There will be negative marks only for wrong answers to the first

question of the linked answer question pair i.e. for Question 52 and 54, 2/3

will be deducted for wrong answer. There is no negative marking for

Question 53 and 55.


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Questions 1- 25 carry 1 Mark each.

1. What is the relation between for matrix B with rank of order 3,

(a) (c)

(b) (d) All of the above

2. is a linear equation if

(a)

(b)

(c) and both are constant

(d) and constant

Where means function of .

3. Which of the following is true?

1. , where

2. , provided and

3.

(a) All of the above

(b) Only 1

(c) Only 2

(d) Only 1 and 2

4. In a Zener diode

(a) Both and sides are lightly doped

(b) Both and sides are heavily doped

(c) side is heavily doped than side

(d) side is heavily doped than side

5. A junction diode has and . The voltage

required to align the conduction bands of both sides to same level is,

(

(a) 0.31 V

(b) 0.41 V

(c) 0.64 V

(d) 0.82 V


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6. Which of the following is NOT a property of cumulative distribution function(CDF)?

(a) (c) is right-continous (b) is monotonically increasing

function

(d)

7. The condition H(ω + ωc)+ H(ω - ωc) = constant in Vestigial Side Band Modulation is

required for:

I. Distortion-less detection II. Easy filter design

III. Necessary for synchronous detection Which of the following option is true?

(a) I only (c) All of these

(b) I and II (d) I and III

8. The modulation index of a frequency modulated wave depends on:

m(t) = message signal

I. Amplitude of m(t) II. Frequency of m(t)

III. Phase of m(t)

(a) All (c) II, III

(b) I, II only (d) I only

9. In a PCM system, the step-size is 2V. If the step-size is reduced to 0.25V, the

quantization noise power decreases by a factor of:

(A) 4 (B) 16 (C) 32 (D) 64

10. Match the list

A. TTL

B. ECL

C. MOS

D. CMOS

1. Low Propagation Delay

2. Low power Consumption

3. High packing density

4. Saturated bipolar logic

(a) A-4, B-1, C-3, D-2

(b) A-4, B-3, C-2, D-1

(c) A-4, B-3, C-2, D-1

(d) A-3, B-1, C-4, D-2


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11. In the following figure, G will be given by,

(a)

(b)

(c)

(d)

12. The following figure shows the memory map of an 8085 Microprocessor based

design. Identify the values of w, x and y respectively. (w, x and y are ending

addresses of the blocks)

(a) 1000 H, 4000 H, 1000 H

(b) 0FFF H, 4FFF H, 5FFF H

(c) 1000 H, 5000 H, 6000 H

(d) 0FFF H, 3FFF H, 0FFF H

13. In the circuit shown below, an ideal diode is used with cut-in voltage The

transfer function of the circuit is:

R S T

R

S

P

T

T G


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(a)

(c)

(b)

(d)

14. In a half wave rectifier, the rms value of current for input voltage is

(R is the resistance value in ohms and consider ideal diode):

(a)

(b)

(c)

(d)

15. An air filled rectangular waveguide has dimensions 7cm 3.5cm, the ratio of cutoff

frequencies in TE01 mode to that in TE10 mode is

(a) 1/2

(b)

(c) 1

(d) 2

16. An end fire array consisting of several half wavelength long isotropic radiator is to

have a directive gain of 30. Beam width between first null is given by

(a)

(b)

(c)

(d)

R

VR


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17. A lossless transmission line of length is short circuited at one end. The impedance

measured at the other end is at a frequency of 13.5MHz. If the frequency is raised

to 27MHz the impedance measured would be

(a)

(b) –

(c) 0

(d)

18. If is as shown in the following figure,

Sketch ,

(a)

(c)

(b)

(d)

19. Match the following.

I II

(I) A. 0

(II) (sin5 ) ( )t t B. ( )t

(III) (cos5 ) ( )t t C. 7.51 3

4 2e t

(IV) (sin5 ) (5 )t t D. 30 ( 4 6)e t

E. 5 ( )t

(a) I– C, II – A, III – B, IV – A

(b) I – D, II – A, III – B, IV – A

(c) I – C, II – E, III – B, IV – B

(d) I – D, II – E, III – B, IV – B

-2 -1 1 2 3


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20. Find the Fourier Transform of 3 ( 2).te u t

(a)

(b)

(c) 2( 3)

3

je

j

(d) 2( 3)

3

je

j

21. A system with the TF, has an output for the input

signal . Then the system parameter ‘ ’

22. In the root locals for open loop TF , the break points are

located respectively at

(a) -1.26,-3.66 (c) -1.46, -3.86

(b) -1.36, -3.76 (d) None

23. The state matrix to the given block diagram is

(a)

(b)

(c)

(d)


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24. The circuit shown below is RC circuit. The rate of increase of voltage across C at the

instant just after the switch is closed (i.e. at ) will be

(a) Zero

(b) Infinity

(c) RC

(d)

25. and are shown in Figure. The current source Ampere.

Determine , , if the switch is moved to position 2, at

after staying a long time in position 1.

(a) -5.11 V/s2, 4 A/s, 3.75 V

(b) -8.11 V/s2, 7 A/s, 3.75 V

(c) -4.44 V/s2, 4 A/s, 3.7 V

(d) -6.44 V/s2, 7.5 A/s, 7.5 V

Questions 26- 55 carry 2 Marks each.

26. For what value of , the following velocity function is a Solenoidal Vector function

(a) 11/3

(b) 10/3

(c) 2

(d) -11/3

27. Find the residue of

(a)

(b)

(c)

(d) None of these


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28. the value of would be

(a) 0

(b) 1

(c)

(d)

Where is constant

29. Find the root of equation by Regula Falsi method in 3 steps,

(a) 2.47

(b) 2.74021

(c) 2.0741

(d) 2.427

30. If are Zener and Avalanche break down voltages and & are electric

fields required to cause the breakdown respectively, then

(a)

(b)

(c)

(d)

31. A BJT has doping levels in emitter, base and collector such that

, then which of following diagram shows the correct position and

width of the depletion regions (shaded in figure) are the two depletion

region at base emitter and base collector junctions respectively.

(a)

(b)

(c)

(d)


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32. Suppose a T1 carrier system is used to multiplex 24 independent voice inputs based

on an 8-bit word. The necessary transmission bandwidth by using a full-cosine roll-

off with will be:

(a) 0.647 MHz (b) 1.54 MHz (c) 1.5 MHz (d) 0.7 MHz

33. If scaling factor = 1, output i.e. y(t) will be:

34. All the elements has delay time of 100pico second. What is the fundamental

frequency at the output is,

(a) 1.66GHz

(b) 1.33GHz

(c) 1.66MHz

(d) 3.33GHz

(a) (b)

(c) (d)


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35. The frequency of the pulse at output is in the combination of counter shown below

A. 1MHz

B. 100KHz

C. 0.5MHz

D. 50KHz

36. Consider the following sequence of instruction for an 8085 µP :

EI

MVI A, 2AH

SIM

After the execution

(a) Serial output & RST6.5 are disabled, RST7.5 & RST5.5 are enabled

(b) Serial output & RST6.5 are enabled, RST 7.5 & RST5.5 are disabled

(c) Serial output, RST7.5 & RST5.5 are disabled, RST 6.5 is enabled

(d) Serial output, RST7.5 & RST5.5 are enabled, RST 6.5 is disabled

37. A bypass capacitor is used in biasing in order to

(a) Improve ac response

(b) Improve dc response

(c) Improve both ac & dc response

(d) None of above

38. Out of following biasing techniques, the one which provides least sensitivity in

collector current with respect to β is,

(a) Fixed bias

(b) Emitter bias

(c) Voltage divider bias

(d) Feedback bias

39. If a transmission line of 50Ω characteristic impedance is terminated with a 100Ω

resistance, the minimum impedance measured on the line is

(a) 0Ω

(b) 25Ω

(c) 50Ω

(d) 100Ω

5 BIT RING

COUNTER

2 BIT

PARALLEL

COUNTER

MOD 5

RIPPLE

COUNTER

5 BIT

JOHNSON

COUNTER INPUT OF

1MHz Y


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40. A plane wave whose electric field is given by passes

normally from a material ‘A’ having and to material ‘B’ having

and . Match the list I to list II and select the correct answer

using the code given below this,

List I

A) Intrinsic impedance of B

B) Reflection Coefficient

C) Transmission Coefficient

D) Phase shift constant of A

List II

1.

2.

3.

4.

A B C D

(a) 4 1 2 3

(b) 2 3 4 1

(c) 4 3 2 1

(d) 2 1 4 3

41. The pole–zero plot of the TF of a linear time invariant system in s-plane is

shown in the figure. The corresponding impulse response is sampled at 3Hz

to get the discrete–time impulse response sequence ,

If the Right Hand side plane of the s-plane is mapped on outside of the unity circle

which one of the following pole-zero plot in z plane gives ,


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(a) (c)

(b) (d)

42. Find the Laplace Transform of ( )n att e u t with ROC.

(a) 1

!,

( )n

nS a

s a

(c)

(b) (d)


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43. Find the circular convolution of & .

1 2[ ] 2,1,3, 4, [ ] 1,3, 5, 7x n x n

(a) 36, 6,44,14

(b) 2, 5,16,14, 34, 1,28

(c) 2, 5,16,14

(d)-36,-6,16,14

44. For the given Nyquist plot the Open Loop system is stable,

and then the range of values for

Closed Loop system stability is

(a)

(b)

(c)

(d)

45. Given the plant shown in the figure below, the relationship between & to make

the system uncontrollable is

(a)

(b)

(c)

(d)


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46. Match the following Time domain specifications to the given poles path in the

plane,

I. Time domain specifications

i. system becomes less stable.

ii. No effect on Stability.

iii. have slight-variations, system becomes

more stable.

iv. has slight-variations, system becomes more

stable.

II. Pole Moment

A A.

C.


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(a)

(b)

(c)

(d)

47. The network has its T parameters as . Find T parameters of X.

(a)

(b)

(c)

(d)

B.

D. Semicircular moment of poles


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48. The 2-Dimensional network of the figure consist of an infinite number of square

meshes each side of which has a resistance of . Find the effective resistance

between two adjacent nodes such as .

(a)

(b)

(c)

(d) R/8

49. The variation of and with f is shown in figure, the value of f at

which the reactive part stops taking energy from energy source is,

(a)

(b)

(c)

(d)


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Common Data Questions:

Common Data Questions 50 and 51:

50. In this circuit, the small signal gain is

(a) -7.8

(b) -12.4

(c) -10.3

(d) -14.6

51. For previous question, are

(a)

(b)

(c)

(d)

Linked Questions

Statement for Linked Answer Questions 52 and 53.

A p-n junction diode has the difference of doping concentrations given by

, where constant and is length along the diode as shown.


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52. The magnitude of maximum electric field in depletion region is given by

(a)

(b)

(c)

(d)

( is permittivity of diode material)

53. For previous question, the built in potential is

(a)

(b)

(c)

(d)


Let the probability of a discrete memory-less source be given by:

0.4 0.2 0.2 0.1 0.1

54. Average code word length will be:

(a) 2.1 (b) 2 (c) 2.2 (d) Data insufficient

55. The coding efficiency will be:

(a) 0.9 (b) 0.34 (c) 0.96 (d) 0.1


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General Aptitude (GA) Questions

Questions 56 - 60 carry one mark each.

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

Select the pair that best expresses the relation in the original pair.

INTIMATE : CLOSE

(A) evanescent : permanency

(B) articulate : speech

(C) enclose : parentheses

(D) obsessed : attracted

57. In the following question, a word is given in bold which precedes four more words. Pick

the word from the four options which most nearly opposite in meaning to the bold

word.

POLEMICAL

(A) lavish (B) imitative (C) conciliatory (D) attractive

58. Which of the following options is the closest in meaning to the word below:

DELETERIOUS

(A) delaying (B) glorious (C) harmful (D) graduating

59. In the following question one word-part is given with example, followed by four

options. Choose the most appropriate word which best describes the usage of the given

word-part in a word.

dis- (Ex. disperse)

(A) free, book (B) not, apart (C) before (D) obsession

60. Find the unit’s digit in the product 24647117 and 4563124647

(A) 9 (B) 7 (C) 3 (D) 1


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Questions 61 - 65 carry two marks each.

61. The recent news that local hospitals have had to reroute seriously ill patients because the community's critical-care beds are full is worrisome. Earlier this week, four of the six local hospitals ran out of space for the critically ill and had to turn people away. Federal law requires hospitals to treat anyone who walks in. As a result of having to treat large numbers of uninsured patients, the emergency rooms often become an economic drain on their hospitals. Doctors now want to set up their own free standing ambulatory surgical facilities and diagnostic centers. Critics contend this would leave hospitals with less revenue and the same number of indigents to treat. A bill was recently introduced to phase out the need for a "certificate of public need" for non-hospital based facilities, provided those facilities met stringent regulations and requirements. This would have made it easier to set up alternative facilities to help indigent patients. The finance committee balked at the hefty price and killed the bill, another casualty of a failed legislative session. Unfortunately, the problem of access to medical care for those of limited means is not going to go away anytime soon and, despite the well-intended regulations, too-full hospitals compromise everyone's welfare. Healthy competition with small neighborhood surgical and diagnostic centers may be what is necessary to help dampen rising medical costs. But under no circumstances should the hospitals be forced to care for everybody without health insurance while competitors operate free of the burden of caring for those unable to pay.

According to the passage, which of the following is cited as a factor which has contributed to the overburdening of hospitals?

I. Failure to pass legislation which would have mitigated the problem II. Limited access to medical care for the poor

III. Federal law

(A) I only

(B) III only

(C) I and II

(D) I, II, and III

62. Ram and Hari started from A and B, towards B and A at 6.00 am and 7.00 am

respectively. They meet each other at 9.00 am and continued towards their respective

destinations. Ram reaching B turns back and catches up with Hari before Hari reaches A

at 11.00 am. At what time will Hari reach A.

(A) 7.00 pm (B) 4.00 pm (C) 5.00 pm (D) 6.00 pm


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63. A person has the capability of thinking 100 lines of code in five minutes and can type

100 lines of code in 10 minutes. He takes a break for five minutes after every ten

minutes. How many lines of codes will he complete typing after an hour?

(A) 100 (B) 250 (C) 350 (D) 600

64. A solid, four-inch cube of wood is coated with blue paint on all six sides. Then the cube

is cut into smaller one-inch cubes. These new one-inch cubes will have either three blue

sides, two blue sides, one blue side, or no blue sides. How many of two side colored will

there be?

(A) 24 (B) 8 (C) 16 (D) 12

65. One of twelve pool balls is a bit lighter or heavier (you do not know) than the others. At

least how many times do you have to use an old balance-type pair of scales to identify

this ball?

(A) 1

(B) 3

(C) 7

(D) 12

END OF THE QUESTION PAPER


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E-mail id: [email protected] Page 1 of 17








each.













each wrong answer.





Question 53 and 55.



Questions 1-25 carry 1 Mark each.

1. The eigen values of

(A) 0, 3, -15

(B) 0,-3, -15

(C) 0, 3, 15

(D) 0,-3,15

2. Evaluate

(A)

(B)

(C)

(D) 0

3. If then which of the following is true?

i.

ii.

iii.

iv.

(A) Only i

(B) Only i and ii

(C) Only iii and iv

(D) All of them.

4. In Regulafalsi method of root determination, if and are two initial points then,

(A)

(B)

(C)

(D)

5. In a BJT, the base collector junction is generally

(A) Step graded junction

(B) Linearly graded junction

(C) Non uniform junction

(D) None of these

6. An ideal MOS transistor in saturation region acts as a

(A) Constant Voltage Source

(B) Constant Current Source

(C) Current Controlled Voltage Source

(D) Voltage Controlled Current Source



7. X and Y are independent uniform random variables in the common interval . If

Z = X + Y then in the interval will be like:

(A) (B)

(C) (D)

8. In a commercial AM radio receiver, the image frequency of a received RF signal of

600 kHz will be:

(A) 1450 kHz (B) 1520 kHz (C) 1510 kHz (D) 1490 kHz

9. In this figure, if power of the message is 10W, what is the power of ? Given

is band limited to 15kHz.

(A) 5W (B) 10W (C) 20W (D) 25W

10. Maximum probability of error ( ) of a QPSK signal constellation depends on:

I. Distance between constellation points II. Variance of Gaussian noise III. Mean of Gaussian noise IV. Average energy of signal constellation

(A) I, II only

(B) I, II and III

(C) I, II and IV

(D) All of the these

)

LPF

(0-15kHz)



11. Determine the minimum number of NAND gates required for 2-dimensional

addressing of 256 Byte ROM using decoders.

(A) 32

(B) 64

(C) 96

(D) None of these

12. For the counter 0, 1, 2, 3, 4. Find minimal terms for synchronous counter using JK

flip flop.

(A)

, ,

(B)

, ,

(C)

, ,

(D) None of these

13. Which of the following interrupt is used in power failure of 8085 µP

(A) INTR

(B) RST 7.5

(C) RST 4.5

(D) RST 7

14. A Zener diode has breakdown voltage and cut-in voltage . Then which of

following circuit has transfer characteristics as given below

(A) (C)

(B) (D) None of these



15. The output of the circuit below is

(A)

(B)

(C)

(D)

16. If are the potential vector and current density vectors associated with the

coil then has the unit of

(A) Flux linkage

(B) Power

(C) Energy

(D) Inductance

17. What is the value of total electric flux coming out of a closed surface?

(A)Zero

(B) Equal to volume of the charge

density

(C) Equal to the charge enclosed by

the closed surface

(D) Equal to the surface charge

density

R



18. Sketch . If as shown,

(A)

(C)

(B)

(D)

19. Consider the following statements

I. All right sided signals are causal signals.

II. All the left sided signals are anti-causal signals

(A)Only I is true

(B) Only II is true

(C) Both I, II are true

(D) Both I, II are false




I. Signal II. Energy

i. (a) 2

2

TA

ii. (b) 2A T

iii. (c) 2

3TA

(A) i –b, ii – a, iii – c

(B) i – a, ii – b, iii – c

(C) i – c, ii – a, iii – b

(D) i – a, ii – c, iii – b

21. The polar plot of a type-1 and order-3, open loop system is shown in the figure. The

close loop system is

(A) Always stable

(B) Marginally stable

(C) Unstable with one pole on the RH

plane

(D) Unstable with two pole on the RH

plane



22. When a human body tries to approach an object, his brain acts as

(A) An error measuring device

(B) A controller

(C) An actuator

(D) An amplifier

23. For a stable closed loop system, the gain at phase cross-over frequency should

always be

(A)

(B) dB

(C) dB

(D) Both (A) and (B)

24. A series circuit has two pure elements with entire network voltage and current

equation as

Then the two elements in the networks will be

(A) Resistor, Inductor

(B) Resistor, Resistor

(C) Resistor, Capacitor

(D) Cannot be determined

25. The switch in figure shown below has been in position 1 for a long time and is then

moved to position 2 at t=0

(A) 4 V, 700 V/sec

(B) +4 V, -700 V/sec

(C) +1 V, 350 V/sec

(D) None of these

- + +



Questions 26-55 carry 2 Marks each.

26. Which of the following is not a solution of the Ordinary differential

questions(ODE)

(A)

(B)

(C)

(D)

27. Evaluate

where c is the circle

(A) (B) (C) (D)

28. A bag contains 30 tickets numbered 1,2,3,4,…,30 of which four are drawn at random

and arranged in ascending order . Find the probability of

being 15?

(A) (B) (C) (D)

29. Which of the following are correct eigen vector of

(A) (4,1)

(B) (1,-1), (4,1)

(C) (-1,1), (4,1)

(D) (-1,1), (1,-1), (4,1)

30. Two semiconductor materials (A) and (B) are connected to form a diode like

structure. and are respective Fermi levels of these materials after joining

them. For the diode to be in equilibrium, we must have

(A)

(B)

(C)

(D) constant

31. A type semiconductor material has a doping level, . Now to

increase the minority carriers concentration 4 times, we must add in the

material with doping concentration. and are (given

(A) Arsenic,

(B) Antimony, 8.

(C) Boron,

(D) Phosphorous, 8



32. Let a pair of quadrature-modulated processes and that are related to a

stationary process be given as:

and

is uniformly distributed in the interval then will be equal to:

(A)

(B)

(C)

(D)

33. Match list-I and list-II

A. BCD to 7 segment decoder

B. 4 to 1 MUX

C. 4 bit shift register

D. BCD counter

1. Sequential Circuit

2. Combinational Circuit

3. Neither Sequential nor

combinational

(A) A-2, B-1, C-2, D-1

(B) A-3, B-2, C-1, D-3

(C) A-2, B-2, C-1, D-1

(D) A-3, B-1, C-2, D-3

34. Consider the following state transition diagram:-

is the initial as well as final state. The purpose of the corresponding digital system

is

(A) Detection of the sequence 0101

(B) Detection of even no of 1’s in an input sequence

(C) Detection of odd no of 0’s in the input sequence

(D) Detection of odd no of 1’s in an input sequence

S0 S1

1/0

1/1

0/1

0/0



35. Match the following

I. Machine Cycle II. Status Indicating pins

S1 S0

i. Opcode fetch A 0 0 1

ii. Memory Read B. 0 1 0

iii. Memory write C. 0 1 1

iv. I/O Read D. 1 1 0

v. HALT E. z 1 1

F. z 0 0

G. 1 0 1

(A) i – C, ii – B, iii – A, iv – D, v – F

(B) i – F, ii – B, iii – A, iv – D, v – E

(C) i – C, ii – A, iii – B, iv – G, v – E

(D) i – E, ii – A, iii – B, iv – G, v – F

36.

In the figure shown, the drain current is:

(A) 2.6mA (B) 3.4mA (C) 5.4mA (D) 1.3mA

37. To an op-amp with gain 10, a differential signal

where rad/sec, is fed. The slew rate of the op-amp is

(A) (B) (C) (D)

38. A TEM wave propagates down a coaxial cable filled with a dielectric of wave

impedance . If at a plane boundary the medium changes to one having impedance

Then the ratio of the transmitted to incident power for , is given by

(A) 4/9 (B) 8/9 (C) 5/8 (D) 7/8



39. In a Uniform Linear Array four isotropic radiating elements are spaced λ /4 apart.

The progressive phase shift between the elements required for forming the main

beam at 600 of the end fire is,

(A) – π (B) – π /2 (C) – π /4 (D) – π /8

40. A load of is connected in shunt in a 2 wire transmission line of as

shown in the figure. The two port Scattering parameter matrix (S Matrix) of shunt

element

(A) (B) (C) (D)

41. Find the sample that is not present in DFT , where

(A) 6 (B) 2 2 j (C) 2 (D) 2 2 j

42. For the signal shown in figure, what frequency components are present in the

Trigonometric Fourier Series Expansion?

(A) Both sine and cosine terms

(B) Only cosine terms

(C) Both sine and cosine terms for odd harmonics of only

(D) Only sine terms



43.

Input and output and system impulse response, relations are shown in figure, then

(A)

(B)

(C)

(D)

44. The state model to the given signal flow graph is,

(A)

(B)

(C)

(D)



45. The controllability and observability of the above system is

(A) Controllable but not observable

(B) Not controllable but observable

(C) Controllable & observable

(D) Neither controllable nor observable

46. The block diagram of a system is shown below. The steady state error for TL =1Nm is

(A) 0.2 (B) 1.2 (C) -5 (D) -6

47. For the given circuit, Find

(A)

(B)

(C)

(D)

48. The condition at which voltage across capacitor or inductor is maximum

(A)

(B)

(C)

(D)

49. Find

(A)

(B)

(C)

(D)





50. An electron has effective mass ( rest mass of electron). If the mean

time between two collisions in the material is 0.438 picoseconds, the mobility of

material is

(A) 1250 (B) 1450 (C) 1800 (D) 1350

51. In Q50, suppose some impurity is added in the material and the overall mobility

becomes 900 .Then the mobility of electron, only due to addition of ion

impurity is,

(A) 2000

(B) 540

(C) 270

(D) 450

Linked Questions


52. In above circuit, the range of for which output is

(A) (B) (C) (D)

53. In the previous question if the maximum power rating of Zener diode is changed to

with VZ=10V, then what is the maximum value of

(A) (B) (C) (D)


Given a PM signal: . Assume

54. The modulation index and BW is:

(A) 10, 22kHz (B) 5, 12kHz (C) 5, 12πkHz (D) 2.5, 7kHz

55. If is doubled, what is the new modulation index and BW:

(A) 5, 24kHz (B) 5, 12kHz (C) 2.5, 7kHz (D) 2.5, 14kHz





56. In the following question, a word is given in bold which precedes four more words.

Pick the word from the four options which most nearly opposite in meaning to the

bold word.

DISTEND

(A) diminish (B) prevent (C) begin (D) swell


FRUGALITY

(A) foolishness (B) extremity (C) enthusiasm (D) economy

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

words. Select the pair that best expresses the relation in the original pair.

BUOYANT : SUBMERGED

(A) obloquy : discredit

(B) stealth : furtive

(C) stoic : perturbed

(D) disaffected : rebel

59. Choose the most appropriate word from the options given below to complete the following sentence:

Female sparrows and immatures are _________, while the typical adult male sparrow is _________ by its markings: a black bib, a gray cap, and white lines trailing down from the mouth.

(A) somewhat nondescript, easily recognized

(B) difficult to spot, better camouflaged

(C) considered to be endangered, characterized

(D) comparatively small, made more conspicuous

60. In a family 7 children don't eat spinach, 6 don't eat carrot, 5 don't eat beans, 4 don't

eat spinach & carrots, 3 don't eat carrot & beans, 2 don't eat beans & spinach. One

doesn't eat all 3. Find the no. of children.

(A) 19 (B) 9 (C) 10 (D) 11


61. Honeybees, unlike many other varieties of bees (such as bumblebees and wasps), are able to live through the winter. The 30,000 to 40,000 bees within a honeybee hive could not, individually, move about in cold winter temperatures. But when “clustering together in a dense ball,” the bees generate heat by constantly moving



their body parts. The cluster also moves slowly about the hive, eating honey stored in the combs. This nutrition, in addition to the heat generated by the cluster, enables the honeybee to survive the cold winter months. From the four options find the statement which best describes the above passage.

(A) Honeybees, unlike many other varieties of bees, are able to live through the

winter by clustering together in a dense ball for body warmth.

(B) Honeybees survive cold winter months by eating honey stored in the combs and

generating heat.

(C) 30,000 to 40,000 honeybees with in a hive survive by forming cluster together.

(D) Honeybees unlike other bees, form clusters containing 30,000 to 40,000 bees in

winter for survival which moves slowly and eat stored honey.

62. Mr. Das decided to walk down the escalator of a mall. He found that if he walks down

26 steps, he requires 30seconds to reach the bottom. However, if he steps down 34

stair she would only require 18 seconds to get to the bottom. If the time is measured

from the moment the top step begins to descend to the time he steps off the last step

at the bottom, find out the height of the stair way insteps?

(A) 46 (B) 35 (C) 56 (D) 55

63. Milk and water in two vessels A and B are in ratio 2:5 and 9:7 respectively. In what

ratio the liquids in both the vessels are mixed to obtain a new mixture in vessel C

containing half milk and half water?

(A) 3:10 (B) 7:10 (C) 7:8 (D) 5:8

64. A tank is filled by three pipes with uniform flow. The first two pipes operating

simultaneously fill the tank in the same time during which the tank is filled by the

third pipe alone. The second pipe fills the tank 5 hour faster than the first pipe and 4

hour slower than the third pipe. The time required by the first pipe is

(A) 6 hours (B) 10 hours (C) 15 hours (D) 30 hours

65. Find the unit’s digit in the product of 37562156! and 67847675!

(A) 4 (B) 0 (C) 6 (D) None of these



Email Id: [email protected] Page 1 of 17








each.












Questions 26 – 51 and Questions 61 – 65, 2/3 mark will be deducted for

each wrong answer.





Question 53 and 55.




1. For what value of , =

(A) 265/29 (B) -625/29 (C) 265/51 (D) -625/51

2. Which of the following is the correct partial differential equation for

(A)

(B)

(C)

(D)

3. Which of the following is not true?

i.

ii.

iii.

(A) Only (i)

(B) Only (ii)

(C) Only (iii)

(D) (i) and (ii)

4. For which of the following probability distribution mean and variance are equal.

(A) Normal Probability Distribution

(B) Poisson’s Probability Distribution

(C) Binomial Probability Distribution

(D) Exponential Probability Distribution

5. In a BJT, 5μA, and then collector current is

(A) 1mA (B) 1.1mA (C) 0.9mA (D) 1.2mA

6. As source to body voltage is increased, the threshold voltage for n type MOSFET

(A) Increases

(B) Decreases

(C) Remains constant

(D) May take any arbitrary value



7. For which of the following signals, just by looking at modulator output and input,

you can tell whether the output is frequency or phase-modulated?

I. Rectangular wave II. Triangular wave

III. Sin wave IV. Cosine wave

(A) All (C) III, IV only

(B)I, II only (D) I only

8. For the autocorrelation function shown below

The Power Spectral Density at will be:

(A) 0

(B) 2

(C) Data Insufficient

(D) 1

9. Which of the following conditions should a pulse shape must satisfy for zero ISI

in pulse amplitude modulation:

(A)

(B)

(C)

(D)

10. When Gray encoding is used for the incoming symbols the BER of the QPSK is

exactly:

(A) (B) (C) (D)



11. A Circuit with P MOS and N MOS shown below, gives output Y as,

(A) (B) (C) (D)

12. Minimum number of NAND Gates required to implement is

equal to

(A) 3 (B) 4 (C) 5 (D) None of these

13. In 8085 Microprocessor, When Halt instructions execute, what will be the output on

the following control pins?

(A) (C)

(B) (D)

14. In the circuit given below, the AC resistance of the diode is

(A) (B) (C) (D)

15. For the above circuit, transistors Q1 and Q2 have

aspect ratio as

The current is given by,

(A)

(B)

(C)

(D) None of above



16. A medium wave radio transmitter operating at a wavelength of 492m has a tower

antenna of height 124m. What is the radiation resistance of the Antenna?

(A) 25Ω (B) 36.5Ω (C) 50Ω (D) 73Ω

17. For the lossless dielectric medium the phase constant for travelling wave is

proportional to

(A) (B) (C) (D)

18. Choose the expression for the signal shown

(A)

(B)

(C)

(D)

19. Choose the condition for halfwave (or) rotational symmetry

(A) ( )2

Tf t f t

(B) ( )2

Tf t f t

(C) ( )2

Tf t f t

(D)None of these

Here T is the fundamental period of the signal .

20. Find the Inverse Fourier transform(IFT) of .

(A) 2

2

1 t (B)

21 t (C)

2

1

(1 )t (D)

2

2

1 t



21. The transfer function of a certain system is given by . The Nyquist plot of

the system is

(A)

(C)

(B)

(D)

22. The Open loop transfer function(OLTF) of closed loop system is

. The point which is not on the root locus is,

(A) (B) (C) (D)

23. For an LTI system shown in fig, is input and is output. In order to nullify the

effect of noise , the gain of the feed forward path is

W = 0

X(s)

N(s)

Y(s) +

-

+ Y++



(A) (B) (C) (D)

24. In the figure shown if we connect 2 V with internal resistance of 1 Ω at AA’ with positive terminal at A’, the current through R is

(A) 2 A

(B) 1.66A

(C) 1A

(D) 0.625A

25. Determine the voltage across 1Ω resistance.

(A) 12 V (B) 15 V (C) 20 V (D) 10 V


26. Which of the following is the correct solution of the Ordinary differential equation

(ODE),

(A)

(B)

(C)

(D) None

27. If is a 3 rowed matrix such that then is equal to

(A) (B) (C) (D)

28. Evaluate –

, where c is the circle

(A) (B) (C) 0 (D)

29. Find the root of using bisection method in 3 steps,

(A)2.5 (B)2.75 (C) 2.625 (D)2.6875



30. A p type Si material has been doped with acceptor impurity concentration

and light falling on the material produces excess carriers

. If intrinsic concentration is , the seperation between

quasi Fermi levels is

(A) 0.72eV (B) 0.41eV (C) 0.28eV (D) 0.34eV

31. A junction is fabricated such that the length of side is smaller than

diffusion length of holes. Then the excess minority carrier concentration on side

varies as

(A) decaying exponentially

(B) decaying linearly

(C) decaying with square root dependence

(D) none of above

32. Let be the step size of a PCM quantizer system. If the random variable Q denoting

the quantization error has a pdf as shown in the figure, mean and variance of the

quantization error is:

(A) 1, (B) 1, (C) (D) 0,

33. Logic circuit shown below having constant input A=1 and B as the waveform shown.

Frequency of B and frequency of clock is same and is equal to 20 kHz.

Frequency at Z will be (assume no propagation delay in XOR Gate).

T F/F

CLK

T F/F

A

T

F

/

F

B

T

F

/

F

Y

T

F

/

F

Z

T

F

/

F



(A) 0Hz (B) 10kHz (C) 5kHz (D) 20kHz

34. Consider the DTL NAND Gates A, B, C are at logic 1 and BJT in the saturation

and , if all the diodes have forward conducting

voltage = 0.9V, determine the fan out of the DTL NAND Gate.

(A) 10 (B) 12 (C) 14 (D) 16

35. The logic circuit given below is used to generate active low chip select by 8085 µP.

The corresponding range of address is…… . Given that the logic circuit is designed to

select 4KB of memory chip.

(A) E000 H – EFFF H (B) 1000 H – 1FFF H

(C) E000 H – F000 H (D) 1000 H – 2000 H

B

CLK



36.

The value of collector current in above circuit is

(A) 0.7mA (B) 0.8 mA (C) 0.95mA (D) 0.85mA

37. As number of amplifiers are cascaded, which of the following is/are correct?

(1)Bandwidth increases

(2) Amplification increases

(A) (1) only

(B) (2) only

(C) (1)&(2)

(D)None of these

38. Match list I with list II and select the correct answer using the code given below

I.

II.

III.

IV.

1. Laplace equation

2. Irrotational

3. Solenoidal

4. Not defined

I II III IV

(A) 2 3 1 4

(B) 4 1 3 2

(C) 2 1 3 4

(D) 4 3 1 2

39. Medium I has an electrical permittivity farad/m and occupies the region

to the left of plane. Medium II has the electrical permittivity

farad/m and occupies the region to the right of plane. If in Medium I is

volt/m, in medium II is:



(A) Volt/m

(B) Volt/m

(C)1. Volt/m

(D) Volt/m

40. A rectangular waveguide having mode as dominant mode has a cutoff

frequency of 18 GHz for the mode. The inner broad wall dimension of the

rectangularwaveguide is

(A) 5/3cm (B) 5cm (C) 5/2 cm (D)10cm

41. Match the following, here NLTIV means Nonlinear time invariant system, LTV means

linear time invariant system and LTI means linear time invariant system.

I Response

1.

2.

3.

4.

II System

I. NLTIV, Casual, Static

II. LTV, Casual, Dynamic

III. LTI, Casual, Dynamic

IV. LTI, Non-casual, Dynamic

V. NLTIV, Casual, dynamic

(A) 1-I, 2-II,3-III,4-IV

(B) 1- V , 2-III, 3-II, 4-IV

(C) 1-V, 2-II, 3-III, 4-IV

(D) 1-IV, 2-III, 3-II, 4-I

42. isa stationary process with the power spectral density . The

process is passed through a system shown below, (Given delay is 0.5ms)

Let be the power spectral density of . Which of the following statements is

correct?

(A)

(B)

(C)

(D)



43. The DFT of a real signal is 1, A, -1, B, -7, -j3, C, -1+j3. Then its signal energy is

(A) 90 (B)90/8 (C)91 (D)81

44. The sensitivity of the closed–loop system (shown in the figure) to variation on

parameter is an approximately ( )

(A) 0.01 (B) 0.1 (C) 1.0 (D) 10

45. Which one of the following is the correct state equation for the network shown in

the given figure with and

(A)

(B)

(C)

(D)



46. The steady state error to the unit – Ramp input to the given bode plot is

(A) 0.01 (B) 0.1 (C) 1 (D) 10

47. Find the motor speed range if , and speed(rpm)=

(A)

(B)

(C)

(D)

48. In the circuit shown in figure below and

. Determine for the maximum power to be transferred from the source

to

R1

R2



(A) (B) (C) (D)

49. Find Thevenin equivalent circuit

about , (Given I=2Amp)

(A)

(B)

(C)

(D)



In the figure of AM modulated wave shown below:

Carrier frequency = ωc

Message frequency = ωm

50. Then, the average LSB power (assuming unit load) is:

(A) 100 W (B) 200 W (C) 400 W (D) 312.5 W

51. Determine the amplitude and phase of the additional carrier which must be added to

the waveform to attain a modulation index of 80%

(A) 8 00 (B) 8 1800 (C) 10 00 (D) 10 1800



Linked Questions


52. A Si diode has , and . Built in

voltage of this diode at is

(A) 0.713V (B) 0.757V (C) 0.692V (D) 0.811V

53. If the width of depletion region on side, when diode is forward biased

at 0.5V, is

(A) 0.1739μm (B) 0.1913μm (C) 0.356μm (D) 0.9431μm


54. The ideal OpAmp shown in figure has common mode gain as

(A)

(B)

(C)

(D)None of these

55. If in previous question, then the circuitacts as

(A) Perfect Summing amplifier

(B) Perfect Difference amplifier

(C) Difference amplifier with a small offset

(D) Summing amplifier with a small offset







EMBARRASS: MORTIFY

(A) synopsis : conciseness

(B) indulge : mollycoddle

(C) exhaustive : careful

(D) bigot : tolerance


WINSOME

(A) victorious

(B) gracious

(C) permanent

(D) pained


options. Choose the most appropriate word which best describes the meaning of the

given word-part in a word.

sen (Ex. senile)

(A) call (B) old (C) light (D) alone

59. Choosethe most appropriate word from the options given below to complete the following sentence:

Since the Sensex is falling down, the traders are _____________ about the huge losses

they may incur.

(A) perturbed

(B) calm

(C) unconcerned

(D) apathetic

60. If there are 51 rupees consisting of coins of 1 rupees, 50 paisa and 25 paisa. Number

of 50 paisa coin is double that of number of 1 rupee coin and four times that of 25

paisa, and then what is the number of 50 paisa coins in the collection.

(A) 48 (B) 51 (C) 12 (D) 24


61. The levels of dissolved oxygen in the world’s ocean waters are declining precipitously. Just like humans, fish need oxygen to survive, and so in ocean areas experiencing significant levels of oxygen scarcity, or hypoxia, fish populations are plummeting. Although some hypoxic areas, called “dead zones,” occur naturally, hypoxia in coastal areas and inland waters is caused mainly by agricultural run-off and by discharge of industrial wastewaters. More than one-hundred permanent dead zones, many covering thousands of square miles, exist worldwide today.



Since reproductive success is the most critical factor in the sustainability of any species, the extent of this threat to marine life and genetic diversity can hardly be overstated. After several months in hypoxic waters, female fish produce fewer eggs. Moreover, hypoxic conditions serve to alter the normal ratio between two particular hormones manufactured during the embyonic stage when a fish’s gender is determined. During gestation and under these conditions, the mother produces more testosterone (and less estradiol), which inhibits the development of female reproductive organs and other female characteristics in the embryo, while promoting the development of male traits.

The passage explicitly supports the assertion that hypoxia

(A) drives salt-water fish away from coastal waters

(B) poses a threat to the coastal fishing industry

(C) is the result of lax environmental regulation

(D) can occur independently of human activity

62. A drinks machine offers three selections - Tea, Coffee or Random but the machine

has been wired up wrongly so that each button does not give what it claims. If each

drink costs 5 rupees, how much minimum money do you have to put into the

machine to work out which button gives which selection?

(A) 5 rupees

(B) 10 rupees

(C) 25 rupees

(D) Infinity

63. A woman with four children bought a sack of peanuts. To the oldest child, a boy she

gave one peanut and 1/4th of what remained, and to each of the other children she

did the same. The second child was a girl, the third a boy and the last a girl. It was

found that the boys had received 100 more peanuts than the girls. What was the

initial number of peanuts?

(A) 701 (B) 1021 (C) 1121 (D) 1001

64. Given a number with 1998 digits which is divisible by 9. Let x be the sum of its digits

and y be the sum of digits of x and z be the sum of digits of y. Find z

(A) 9

(B) 27

(C) 1998

(D) None of these

65. If denotes the number of prime number not greater than , then what is the

value of

(A) 11 (B) 7 (C) 9 (D) 8


http://puzzles.nigelcoldwell.co.uk/thirty.htm














each.

5. Questions 48 – 51 (2 pairs) are common data questions and question pairs

(52 – 53) and (54 – 55) are linked answer questions. The answer to the

second questions of the linked answer question depends on the answer to

the first question of the pair. If the first question is wrongly answered or is

un-attempted, then the answer to the second question will not be

evaluated.







Questions 26 – 51 and Questions 61 – 65, 2/3 mark will be deducted for

each wrong answer.

9. The questions pairs (52 – 53) and (54 – 55) are questions with linked




Question 53 and 55.



Questions 1-25 carry 1 Mark each.

1. Determine the poles of the function

(A)

(B) 0, -2,

(C)

(D) 0

2. is an orthogonal matrix

1. is also an orthogonal matrix

2. is also an orthogonal matrix

3. Neither nor are orthogonal

4.

5.

Which of the above statements is/are true?

(A) Only 1

(B) Only 2

(C) 1 , 2 , 4 and 5

(D) All of the above

3. Which of the following is true about given ODE

The ordinary differential equation(ODE)

(A) Is of the first order and first degree

(B) Is of the second order but of second degree

(C) Is of first order but of second degree

(D) Is of second order and of second degree

4. General formula for Newton Raphson method is

(A)

(B)

(C)

(D) A and C both

5. If emitter injection efficiency of a BJT is 0.98 and its common base dc current gain is

0.96, then the base transport factor is

(A) 0.96 (B) 0.94 (C) 1.02 (D) 0.98



6. The unity gain frequency for a MOSFET

(A) increase with increase in channel length

(B) increase with increase in transistor width

(C) increase with decrease in channel length

(D) stays constant for all channel length

7. Two signals and having Fourier Transforms and shown in

figure are combined to form .

The minimum sampling frequency for the signal is:

(A) 60 kHz (B) 120 kHz (C) 240 kHz (D) 30 kHz

8. If X and Y are the zero-mean independent Gaussian random variables with common

variance, then the pdf of the phase of Z = X + iY will be:

(A) Gaussian (B) Rayleigh (C) Uniform (D) Nakagami

9. Let an angle-modulated signal be given by

. Considering is a FM signal with frequency deviation = , find

(A)

(B)

(C)

(D)

10. An 8 bit DAC gives an output voltage of when input code is 00110010, then the

output of DAC when input code is 01011001 will be

(A)

(B)

(C)

(D) None of these

11. Consider the following statements,

a. High threshold logic(HTL) is designed from Diode transfer Logic(DTL) gate

with use of one Zener diode.

b. Direct coupled transistor logic(DCTL) exhibits current hogging phenomena

c. Problem of variable load is overcome by the totem pole arrangement.

Then correct statements are

(A) All (B) a and b (C) a and c (D) b and c

f(kHz)

5

1

f(kHz)



12. What is the addressing mode of XTHL instruction?

(A) Implicit

(B) Register direct

(C) Register indirect

(D) Memory direct

13. For a Si p-n junction diode the static resistance in terms of diode voltage and

current is

(A)

(B)

(C)

(D) None of these

14. Which of the following amplifier suffers from crossover distortion

(A) Class A (B) Class B (C) Both (A) & (B) (D) None of these

15. The wavelength of the wave propagating in the a waveguide is

(A) Smaller than the free space wavelength

(B) Greater than the free space wavelength

(C) Directly proportional to the group velocity

(D) Inversely proportional to the phase velocity

16. Which of these is Poisson’s equation for the linear isotropic, but inhomogeneous

medium

(A)

(B)

(C)

(D)

17. Image theory is applicable to problem involving

(A) Electrostatic field only

(B) Magnetostatic field only

(C) Both Electrostatic field and magnetostatic field

(D) Neither Electrostatic field nor magnetostatic field

18. Consider the following statements, with reference to Fourier transform

I. Periodic in the one domain results in discrete in the other domain (Here

domain refer to time or frequency)

II. Aperiodic in one domain results in continuous in the other domain and vice-

versa.

(A) I & II are wrong

(B) I & II are correct

(C) I is wrong, II is correct

(D) I is correct, II is wrong



19. Find the IFT of

(A) 2

jt (B)

1

j t

(C)

1

j t (D)

1

2j t


I. Wave II. Dimension

i. Speech a. One dimensional

ii. Image b. Two dimensional

iii. T.V. Picture c. Three dimensional

iv. Temperature d. Four dimensional

(A) i – a, ii – b, iii – c, iv – d

(B) i – b, ii – c, iii – d, iv – a

(C) i – b, ii – d, iii – a, iv – c

(D)i – a, ii – c, iii – b, iv – d

21. The Nyquist plot of the open loop transfer function(OLTF) is

shown in figure,

The range of the for the system stability is

(A) (B) (C) (D) None

22. For a stable system, gain margin and phase margin should be

(A) Positive and negative respectively

(B) Negative and positive respectively

(C) Both positive

(D) Both negative



23. The block diagram for a particular control system is shown in the figure,

(A) Low pass system

(B) All pass system

(C) Minimum phase system

(D) High pass system

24. When an AC source of emf is connected across a circuit, the phase

difference across the and in the circuit is . The correct combination of the

circuit element is

(A)

(B)

(C)

(D)

25. In the circuit shown, the network N1 and N2 contains DC sources and resistances.

The voltage across 5Ω resistor is given by

(A) 5 V

(B) 10 V

(C) 35 V

(D) Cannot be determined



Questions 26-55 carry 2 Marks each.

26. We have

What is the nature of solution of this system of equations?

(A) Consistent and unique solution

(B) Inconsistent

(C) Infinite Solution

(D) A and C

27. A Water treatment plant dispatched water bottles for consumption of individuals in

a city. Later it was found that water was infected. If the probability of harming

(infection) is 0.001, determine the chance that out of 2,000 individuals more than

two will get a infection.

(A) 0.34 (B) 0.44 (C) 0.32 (D) 0.42

28. Find the complete solution of

(A)

(B)

(C)

(D)

29. Consider the statements below:

I. BJT is a current controlled device while FET is a voltage controlled device.

II. Both BJT and FET have current due to both types of charge carriers.

(A) I is true, II is false

(B) I is false, II is true

(C) Both I&II are true

(D) Both I&II are false



30. Two constellations are shown below:

Which of these are correct?

I. Maximum Probability of error of (i) is greater than (ii)

II. Maximum Probability of error of (ii) is greater than (i)

III. Maximum Probability of error of (i) and (ii) is equal.

IV. Average energy of (i) is greater than (ii)

V. Average energy of (ii) is greater than (i)

VI. Average energy of (i) and (ii) is equal.

(A) III and VI (B) I and VI (C) III and V (D) II and V

31. Let a discrete memoryless source with source alphabet = with the

probabilities given by = 0.25, = 0.25 and = 0.5. Then the entropy of the

extended source with source alphabet where n=2 will be

(A) 3/2 (B) 3 (C) 9/2 (D) 6

32. Asynchronous counter shown in figure below is

(A) Mod-21 (B) Mod-22 (C) Mod-20 (D) Mod-19

1

)

)



33. 1010, 111010, 11010 represent the 2’s complement representation of which set of

numbers?

(A) 10, 58, 26 respectively

(B) -6, -6, -6 respectively

(C) -7, -7, -7 respectively

(D) -10,-58, -26 respectively

34. The logic circuit used to generate active low chip select by 8085 µP is shown below.

The corresponding range of address is ……. Given that the logic circuit is designed to

select 4KB of memory chip, and A12 Pin is in floating state.

(A) 0600 H – 06FF H

(B) 0700 H – 07FF H

(C) Either (a) or (b)

(D) None

35.

In above diagram, is assumed to be very large & finite. The value of and such

that

(A)

(B)

(C)

(D)



36.

Transistors Q1 and Q2 are matched transistors with VBE(ON)=0.7 V. The load needs

a variable current which can range from 0.3 mA to 4mA such that Q2 is always in

active region .The value of should lie in the region,

(A)2.1 to 10k (B)4.5 to 25k (C)2.3 to 31k (D)8.1 to 11k

37. In the given figure, the low frequency model parameters are and .The angular

frequency due to capacitor is given by

(A) (B) (C) (D)

38. In order to a have high CMRR in a differential pair amplifier, which must hold true:

I. An ideal current source with infinite resistance should be used to bias the

transistors.

II. There should be no mismatch between the two transistors.

(A) I only (B) II only (C) both I &II (D) None

39. In a twin wire transmission line in air, the adjacent voltage maxima are 12.5cm and

27.5 cm. The operating frequency is

(A) 200 MHz (B) 1 GHz (C) 2 GHz (D) 6 GHz



40. A Uniform plane wave travelling in air is incident on the plane boundary between air

and another dielectric medium with . The reflection coefficient for the normal

incidence is

(A) 0 (B) (C) 0.333 (D) 0.333

41. Find the value of the integral

(A) (B) (C) (D) 1

42. Consider the following figures:

If then find and

(A) 1, 8 (B) 1, 1/8 (C) 1/8, 1 (D) 8, 1/8

43. Find the as n Given

(A) 0

(B)

(C)

(D) Final Value theorem is not applicable here

44. Consider the RLC circuit shown in figure for step input , The overshoot equals

(A) 16.1%

(B) 16.2%

(C) 16.3%

(D) 0, since the system is not under

damped.



45. Find the current through each source , Given conditions are,

1. When only are acting,

2. When and are acting,

3. When and

4. When only

A

(A)

(B)

(C)

(D) 4, -2, 2, 1

46. When the circuit in figure 1 is excited, the voltage across is 4 V. When the same

circuit is in figure 2 is excited, the voltage across is . When the circuit in figure

3 is excited, the voltage across will be:

(A)

(B)

(C)

(D)

Fig 1

Fig 3

Fig 2



47. A certain circuit has source and current through Z is If the

strength of each source as well as the load impedance is doubled, then current

through the 2ZΩ load will be,

(A)

(B)

(C)

(D) Not possible to determine



48. Consider a BJT with doping in emitter, base and collector as

and respectively. What value of must be applied in

base emitter region, so that excess minority carries in base region is 10% of the

emitter doping

(A) 0.82V (B) 0.71V (C) 0.76V (D) 0.69V

49. If in previous question, the length of depletion region inside base at base-emitter

junction and base collector region are 5μm and 10μm respectively and total base

width is 50μm. Find new doping level of collector to cause a punch through,

assuming width of depletion region in collector region remains constant

(A)

(B)

(C)

(D)


A unity feedback system is shown in figure (a) and the root locus of its characteristic

equation is shown in figure (b)

fig.(a)

fig.(b)



50. If P(-6,0) is a point on the root – locus, the variable parameter of the system at P is

(A) 10/3 (B) 20/3 (C) 6 (D) 20

51. For a UFB system shown in fig.(a) & fig.(b) of Q.50 if the variable parameter ,

the CLTF of the system is,

(A) (B) (C) (D)

Linked Questions

Statement for Linked Answer Questions 52 and 53

A spread-spectrum communication system has the following parameters:

Information bit-duration: 4 ms

PN chip duration: 1 µs

52. The processing gain will be:

(A) (B) 4000 (C) 2000 (D)

53. If = 10, then jamming margin will be equal to:

(A) 26.1 dB (B) 15 dB (C) 26 dB (D) 15.1 dB

Statement for Linked Answer Questions 54 and 55

54.

For the circuit shown above & and . For the

following conditions on frequency, how the above circuit will behave?

(1) (a)Low Pass

(2) (b) High Pass

(3) (c)Constant

(A) 1 - (b), 2 - (c), 3 -(a)

(B) 1- (c),2- (b), 3-(a)

(C) 1 - (c), 2 - (a), 3 - (b)

(D) 1 - (b), 2 -(a), 3 - (c)

55. In previous question if R1 & C1are interchanged with R2 & C2, then the circuit behaves

as a

(A) Band reject filter

(B) Band pass filter

(C) All pass filter

(D) High pass filter







QUISLING : BETRAY

(A) taunt : provoke

(B) inception : termination

(C) juggernaut : crush

(D) obstinate : preserve



bold word.

RECALCITRANT

(A) feckless (B) yielding (C) somber (D) polished




nov (Ex. novice)

(A) Other (B) Draw, pull (C) Sharp (D) New

59. Choose the most appropriate word from the options given below to complete the following sentence: He is ______speaker, his discourses are always informative and inspirational.

(A) an eloquent

(B) an amateur

(C) a novice

(D)an inarticulate

60. A speaks truth 70% of the time; B speaks truth 80% of the time. What is the

probability that both are contradicting each other?

(A) 0.37 (B) 0.38 (C) 0.44 (D) 0.56


61. Find the best correction for the underlined sentence from the four options given below.

Under a provision of the Constitution that was never applied, Congress has been required to call a convention for considering possible amendments to the document when formally asked to do it by the legislatures of two-thirds of the states.

(A) has never been applied, Congress is required to call a convention to consider

possible amendments to the document when formally asked to do so



(B) was never applied, there has been a requirement that Congress call a convention

for consideration of possible amendments to the document when asked to do it

formally

(C) has never been applied, whereby Congress is required to call a convention to

consider possible amendments to the document when formally asked to do so

(D) was never applied, Congress has been required to call a convention for

considering possible amendments to the document when formally asked to do it

62. One afternoon a person left home at 2:45pm according to the watch at home. He

reached office at 3:10pm according to the watch at office. He stayed there for

25mins and moved towards home at a speed twice than previous and reached home

at 4pm according to the watch at home. Find out by which how much time office

watch is either fast or late compared to watch at home?

(A) 5min fast (B) 5min late (C) 15min late (D) 10min late

63. 7 liter milk was taken from a container and water of same amount was added to the

container. This procedure was repeated for three more times. The ratio of quantity

of milk to water in the container was obtained to be 81/47 at the end. What was the

quantity of milk in the container originally?

(A) 14lt (B) 28lt (C) 35lt (D) 42lt

64. A, B and C start running at the same time and from the same point around a circular

track of 70m radius. A and B run clockwise and C counter clockwise. If A meets C

every 88 seconds and B meets C every 110 seconds, then after how much seconds

does A meets B?

(A) 22 (B) 198 (C) 440 (D) 220

65. Twelve straight lines are drawn in a plane such that no two of them are parallel and

no three of them are concurrent. A circle is now drawn in the same plane such that

all the points of intersection of all the lines lie inside the circle. What is the number

of non-overlapping regions into which the circle is divided?

(A) 25 (B) 67 (C) 79 (D) 83











each.













each wrong answer.





Question 53 and 55.




1. ,where is identity, matrix is

(A) Singular (B) Idempotent (C) Orthogonal (D) Involuntary

2. Find the value of

(A)

(B)

(C)

(D) Indeterminate (Can’t be found)

3. If then find

(A)

(B)

(C)

(D)

4. In an IC, the p substrate is connected to

(A) most positive voltage on IC

(B) most negative voltage on IC

(C) any value of voltage on IC

(D) None of the above

5. Band gap of a semiconductor

(A) Increase with temperature

(B) Decrease with temperature

(C) Remains Constant

(D) None of these

6. If input to a delta modulator is

and sampling rate is 15,000 samples/sec. Determine the optimum

value of step-size,

(A) 33.3 mV (B) 0.33 mV (C) 3.33 mV (D) 3.33 V

7. A speech signal has a total duration of 10sec. It is sampled at the rate of 8kHz and

then encoded. The minimum signal to quantization noise ratio (SNR) required is

40dB. The minimum storage capacity needed to accommodate this digitized speech

signal is:

(A) 256 kbits (B) 118 kbits (C) 560 kbits (D) 720 kbits

8. The instantaneous frequency of the signal

at is:

(A) 55 Hz (B) 95 Hz (C) 45 Hz (D) 105 Hz

9. For converting SR flip flop into JK flip flop the correct combination is

(A)

(B)

(C)

(D)



10. Four memory chips of size are connected together in parallel fashion. The

total capacity of combination is

(A) (B) (C) (D)

11. Match the following I. Instructions II. Status Indicating pins

i. AND Logic A. No flag is affected

ii. XOR Logic B. AC = set, CY = Reset

iii. DAD C. AC = CY = Reset

iv. INR D. All flags are affected expect CY

v. DCX E. Only CY is affected

F. All flags are affected

(A) i – C, ii – B, iii – A, iv – E, v – D

(B) i – B, ii – C, iii – D, iv – E, v - A

(C) i – B, ii – C, iii – E, iv – D, v - A

(D) i – C, ii – B, iii – F, iv – E, v - D

12.

In the diagram shown for to hold, therequired condition is

(A) (B) (C) (D)

13.

CMRR of an Op Amp is 40dB. If a signal mV and mV is applied on

non-inverting and inverting terminals respectively, then is

(A) 0.21 (B) 0.11 (C) 0.41 (D) 0.09



14. The output of the circuit is

(A) A+B (B) (C) AB (D) None of above

15. A TEM wave is incident normally upon perfect conductor. E and H fields at the

boundary will be respectively

(A) Minimum and Minimum

(B) Maximum and Maximum

(C) Minimum and Maximum

(D) Maximum and Minimum

16. A rectangular air filled waveguide has cross section of 4 10 cm2. The minimum

frequency at which wave propagates in waveguide is,

(A) 1.5 GHz (B) 2 GHz (C) 2.5 GHz (D) 3.0 GHz

17. The ratio of the directivity of an end fire array antenna to that of the broadside array

antenna is

(A) 2 (B) 3 (C) 4 (D) 5

18. Find the Laplace Transform(LT) of

(A)

(B)

(C)

(D)

19. Which of the following represents condition for linear phase; where h[n] is a

discrete periodic sequence of length M + 1.

(A)

(B)

(C) Both (A) and (B)

(D) None



20. Match of the following signals

I. Signal II. Type

i. 1 [ ]2

n

u n a. Power

ii. [ ]u n b. Energy

iii. 2 [ ]nu n c. Neither Energy nor Power

iv. 1 [ ] [ ]2

n

u n u n d. Both power and energy

(A) i – a, ii – b, iii – c, iv – d

(B) i – b, ii – a, iv– a, iii – c

(C) i – b, ii – a, iii – c, iv – d

(D) i – b, ii – c, iii – c, iv – c

21. A UNFB closed loop system has a plant with the Transfer Function

and a controller in the feed forward path. For a unit step input, the

Transfer Function of the controller that gives minimum steady state error is,

(A)

(B)

(C)

(D)

22. The system is shown in figure. Its overall gain is

(A) 6/17 (B) 6/23 (C) 3/20 (D) None

+ +



23. The Nyquist plot for the system shown below is,(All Circles are of unit magnitude)

ω=0

11

1111

ω=∞

(B)

ω=0 ω=∞

(A)

ω=0 ω=∞

(C)

ω=0 ω=∞

(D)



24. If network impedance has the pole zero pattern shown in the given figure, it must be

composed of

(A) element only

(B) element only

(C) element only

(D) element only

25. For the following graph it is stated that

I. is cut-set

II. This is a complete graph

III. The graph has 2 nodes with odd degree

(A) All are true

(B) Only I and II are true

(C) I is true only

(D) III is true only


26. Find the values of and for which the system of equations

has infinite consistent solution.

(A)

(B)

(C)

(D)

27. , find the value of for up to first step by Picard’s

method

(A) 0.9714

(B) 1.2714

(C) 0.7088




28. Find the value of integral

When value of and

(A) (B) (C) (D)

29. A major VLSI firm of world has four foundries of OPAMP 741 IC at Singapore unit

manufacturing 20%, 15%, 25% and 40% of the total output respectively. Of their

outputs 5%,4%,3% and 2% in the same order are defective ICs. An IC is chosen at

random from the Singapore unit production and is found defective. What is the

probability that the IC was manufactured by foundry A or foundry D?

(A) 0.3175,0.0254

(B) 0.254,0.1375

(C) 0.3175 , 0.254

(D) 0.03175,0.0254

30. In BJT fabrication

(A) base width is generally made longer than diffusion length to reduce

recombination

(B) base width is generally made smaller than diffusion length to enhance

breakdown voltage

(C) base width is generally made smaller than emitter width to increase capacitance

between the two materials.

(D) base width is generally made smaller than diffusion length to reduce

recombination

31. The relaxation time of an electron scattering in a lattice by mechanism ‘X’ is 5 ns and

by ‘Y’ is 15 ns. Then effective relaxation time in presence of both mechanisms

present at same time is

(A) 20 ns (B) 10 ns (C) 3.75 ns (D) 5.5 ns

32. The GSM system uses a frame structure where each frame consists of 8 time slots

and each time slot contains 150 bits and data is transmitted at 270 kbps in the

channel. The time duration of a frame and the time a user occupying a single slot has

to wait between two simultaneous transmissions are respectively:

(A) 4.6 ms and 4.6 ms

(B) 4.34 ms and 4.34 ms

(C) 4.34 ms and 4.6 ms

(D) 4.6ms and 4.34 ms



33. The logic diagram shown is known as

(A) 2 to 4 line encoder with NAND Gate

(B) 2 to 4 line decoder with NAND Gate

(C) 3 to 8 line encoder with NAND Gate

(D) None of these

34. In the figure below the output of the oscillator has 10V Peak to Peak amplitude

with zero DC value. The Schmitt trigger has upper trip point 3.5V and lower trip

point 2.5V. Assuming JK flip flop is reset at time t=0, determine the duty cycle of the

waveform and period of waveform .

(A) 0.105, 4usec (B) 0.707, 4usec (C) 0.105, 2usec (D) 0.707, 2usec

35. LXI SP, 1000 H

PUSH H

PUSH D

CALL 2050 H

POP D

HLT

After the execution of this program the contents of the stack pointer would be

(A) 0FFC H (B) 0FFE H (C) 1000 H (D) 1002 H

CLK

J Q

K

K

500 kHz

SINE

WAVE

5V



36.

ICSAT=10mA, VBE,ON=0.7V, VBE,SAT=0.8V,VCE,SAT = 0.2V

In above circuit if , the value of Rc is,

(A) (B) (C) (D)

37. In a BJT , and are reverse saturation current in collector base region, dc

current gain in common emitter mode and base emitter voltage respectively.

I. increases with temperature

II. increases with temperature

III. increases with temperature

The correct statements are

(A) I & II (B) II & III (C) I & III (D) I, II and III

38. An amplifier has a frequency response as shown such that

Now stages of such amplifier are cascaded. Then approximate equivalent

bandwidth is

(A) (B) (C) (D)



39. Give five element antenna array Antenna Factor is

(A) AF (B) AF (C) AF 3 (D) AF 2

40. A plane wave is characterized by .The wave is

(A) Lineallypolarized

(B) Circularly polarized

(C)Ellipticallypolarized

(D) Unpolarized

41. The output of the casual all pass system is , for which the system

transfer function is . Then corresponding stable input signal is

(A)

(B)

(C)

(D)

42. An input with length M is applied to a linear time invariant system having an

impulse response of length is the DTFT of the output of the system.

If and for all , the maximum value of can be

(A)

(B)

(C)

(D)

43. Then find

(A)

(B)

(C)

(D)



44. The open loop transfer function of a system is . In the straight

line approximation of Bode plot, magnitude (in dB) and phase (in radians) of

at rad/sec are

(A) 0 dB and rad

(B) 0 dB and rad

(C) 20 dB and rad

(D) 20 dB and rad

45. The state-space representation of a system is given by

,

The TF of the system is

(A) (B) (C) (D)

46. Which of the following statements is correct?

I. Effect of adding a pole to the function in the left half of -plane is

moving the root-loci towards the right half plane.

II. Effect of adding a zero to the function has the effect of moving the root-

loci towards the LH -plane.

(A) I only correct

(B) II only correct

(C) Both I & II correct

(D) None

47. Find the Laplace transform of the periodic waveform and calculate the final current

value of the system.

(A) (B) Amp (C) Amp (D) Amp

48. The pole zero plot for series RLC circuit driving point admittance is as shown in

figure. Find value of R, L and C.



(A) C=0.5F, L=1H, R=3Ω

(B) C=0.01F, L=1/3H, R=1Ω

(C) C=0.01F, L=1/3H, R=10Ω

(D) C=0.1F, L=1/3H, R=1Ω

49. The Network Function represents a

(A) admittance

(B) admittance

(C) impedence

(D) None of these



In a junction diode, the doping levels are cm-3. The

diffusion length & diffusion constants for both electron holes are given below on both

sides of junction

for holes for electrons

for holes for electrons

50. The hole current density due to diffusion at junction at bias voltage is

(given )

(A) 16.2 mA/ (B) 18.3 mA/ (C) 25 mA/ (D)11.4 mA/

51. In Q50, the ratio of total hole current due to diffusion to the total diode current is

(A) 9/10 (B) 8/9 (C) 11/12 (D) 10/11

jω

σ X X

-1 -2



Linked Questions


52. Consider the random process where is a uniformly

distributed random variable over the interval [- , . The autocorrelation function

will be

(A)

(B)

(C)

(D)

53. The process will be:

(A) Stationary in mean sense only (B) Stationary in correlation sense only

(C) Both (D) Not stationary


54. A MOSFET has following parameters

If the transistor is in saturation and , then if channel length modulation is

ignored, the drain current is

(A) 5.28mA (B) 8.64mA (C) 4.12mA (D) 1.82mA

55. The output resistance of MOSFET in Q54 is

(A) 48k (B) 19k (C) 25k (D) 56 k





56. The _________ requirements by client for approval of new design, do not _______ designers when it comes to research & development because of the profit potential. (A) toilsome….provoke

(B) onerous….dissuade

(C) complex….encourage

(D) vague….support




Drome(Ex. syndrome)

(A) hard (B) lasting (C) break (D) step



bold word.

ULTERIOR

(A) uncompromising

(B) sparking

(C) corrugated

(D) stated


Pick the word from the four options which most nearly similar in meaning to the

bold word.

INTRACTABLE

(A) culpable (B) unruly (C) flexible (D) efficient

60. Three pipes A,B and C can fill a tank from empty to full in 30 minutes, 20 minutes

and 10 minutes respectively. When the tank is empty, all the three pipes are opened.

A, B and C discharge chemical solutions P, Q and R respectively. What is the

proportion of solution R in the liquid in the tank after 3 minutes?

(A) 5/11 (B) 6/11 (C) 7/11 (D) 8/11


61. It had promised to be a real treat for the cinemagoers. However, when the film

released, one was disappointed to see a hackneyed plot and wooden faced actors. It

was dubbed the worst film of the decade: no the century. In the above sentence

extract, hackneyed may refer to all of the following except:



(A) clichéd (B) weak (C) trite (D) banal

62. How many zeros are there at the end of the number obtained from 999!

(A) 246 (B) 247 (C) 248 (D) 249

63. Five players prashant, prabhu, prince, prem, piyush played five overs of cricket

among themselves. Each of the five players bowled exactly one over and also batted

exactly for one over.

The runs conceded by the five bowlers in the respective overs bowled by them

are 1, 2, 3, 4 and 5, not necessarily in the same order. Prashant bowled to prem and

conceded 1 run and he scored 2 runs in prabhu’s over. Prince neither scored 3runs

nor conceded 3 runs. Prem did not bowled to Prince. Prabhu batted when Prince

bowled, then he scored 5 runs.

Which of the following statement cannot be true?

(A) Piyush conceded 4 runs to Prince.

(B) Prem neither bowled to Prince nor batted in Prince’s over.

(C) Piyush did not score 3 runs


64. A certain amount of sum is invested at simple interest. If the sum becomes k times

itself in 16 years and 2k times itself in 40 years, in how many years will it become 4k

times of itself?

(A) 96 years (B) 88 years (C) 80 years (D) 64 years

65. The question given below contains six statements followed by four groups of three

statements. Which of the group of statements are logically related?

I. Some birds are fish

II. Some birds lay eggs

III. No mammal lays eggs

IV. Some fish are mammals

V. All fish lay eggs

VI. Some mammals are birds

(A) I-II-V

(B) III-IV-V

(C) II-III-VI

(D) None of these


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