gate mock test ece question

7/27/2019 Gate Mock Test Ece Question

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GATE-2013 Test Series www.engineersinstitute.com ELECTRONICS & COMMN. ENGG. – EC

ENGINEERS INSTITUTE OF INDIA of 1928-B/7, Jia Sara i, Near I IT, Hauz Khas, New Delhi -110016. www.engineersinstitute.com

EC : ELECTRONICS AND COMMUNICATION ENGINEERING

Duration: Three Hours Maximum Marks: 100

Test Booklet Series : C Test Type : 5 Paper Code : EC101

Read the following instructions carefully.

1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator.

2. Take out the O ptical Response Sheet (ORS) from this Question Booklet without breaking the seal and read

the instructions printed on the ORS carefully. If you find that the Question Booklet Code printed at the right

hand top corner of this page does not match with the Booklet Code on the ORS, exchange the booklet

immediately with a new sealed Question Booklet.

3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble corresponding to

your test paper code and the appropriate bubble under each digit of your registration number and (ii) write your

registration number, your name and name of the examination centre and put your signature at the specified

location.

4. This Question Booklet contains 65 questions including blank pages for rough work. After you are permitted to

open the seal, please check all pages and report discrepancies, if any, to the invigilator.

5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each question

has only one correct answer. Questions must be answered on the left hand side of the ORS by darkening the

appropriate bubble (marked A, B, C, D) using ONLY a black ink ball point pen against the question number. For

each question darken the bubble of the correct answer . More than one answer bubbled against a question will

be treated as an incorrect response.

6. Since bubbles darkened by the black ink ball point pen cannot be erased, candidates should darken the bubbles

in the ORS very carefully.

7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks questions

include two pairs of common data questions and two pairs of linked answer questions. The answer to the second

question of the linked answer questions depends on the answer to the first question of the pair. If the first questionin the linked pair is wrongly answered or is unattempted, then the answer to the second question in the pair will

not be evaluated.

8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks.

Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each.

9. Unattempted questions will result in zero mark and wrong answers will result in NEGATIVE marks. For all 1

mark questions, 1/3 mark will be deducted for each wrong answer. For all 2 marks questions, 2/3 mark will be

deducted for each wrong answer. However, in the case of the linked answer question pair, there will be negative

marks only for wrong answer to the first question and no negative marks for wrong answer to the second question.

10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall.

11. Rough work can be done on the question paper itself. Blank pages are provided at the end of the question paper

for rough work.

12. Before the start of the examination, write your name and registration number in the space provided

below using a black ink ball point pen.

Name

Registration No.



GATE-2013 Test Series www.

Q. 1 – Q. 25 carry one mark each

Q. 1 Integrated output wavefor

bit counter with 4MHz clock will b

(a.) 0.032m sec.

(b.) 0.064m sec.

(c.) 0.64m sec.

(d.) 0.024m sec.

Q. 2 In the given figure below

input being 0 or 1. B3 is th

digital code is (1111)

(a.) –10 volt

(b.) –8 volt

(c.) –9.31 volt

(d.) –4.53 volt

Q. 3 Auto correlation function o

(a.) Constant

(b.) Gaussian

(c.) Impulse

(d.) Step

Q. 4 To make a Low pass signal

engineersinstitute.com ELECTRONICS & CO

.

for the dual slope ADC is shown in figure. The ti

the switches are in position ‘a’ or ‘b’ depending

MSB and B0 is the LSB. Find the output voltage

white noise is given by

from Band pass signal the operation performed will

MN. ENGG. – EC

e T for an 8

n the switch

0 if the input

be





(b.) Pre envelope

(c.) First pre envelope then take complex envelope

(d.) First complex envelop and the take pre-envelope.

Q. 5 It

0

( ) sin x t c t dt

then x(t) is

(a.) 0

(b.) ½

(c.) 1

(d.)

Q. 6 Determine the time signal corresponding transfer function2

2 1

4 36( )

2 9 4

z z H z

z z

when

system is stable

(a.) 1 1

18 4

n n

u n u n

(b.) 35 1 . 16(2) [ 1]112 4

n

nu n u n

(c.) 1 1

14 8

n n

u n u n

(d.) 1

1 (2) 14

nn

u n u n

Q. 7 A test charge q coulomb moving with velocity^ ^ 1

( ) m secv x y experiences no force in a

region of electric and magnetic field. If ^ ^ 2

B ( 2 ) Wb/m . x z Then E field is

(a.)^ ^ ^

2 2 V/m x y z (b.)^ ^ ^

2 2 V/m x y z

(c.)^ ^ ^

V/m x y z (d.)^ ^ ^

2 2 V/m x y z

Q. 8 For a waveguide propagating along +Z axis, if E 0 z and also H 0. z Then the mode is

called as?

(a.) TEM Mode (b.) TE Mode

(c.) TM Mode (d.) Hybrid Mode

Q. 9 If the system has position error constant toPK 5, the steady state error for inputs of 10 U(t )

and 12 t U(t ) are respectively.

(a.)10

; 06

(b.)1

;6

(c.)1

; 06

(d.)10

;6




Q. 10 In the system shown in the figure below, r (t ) = sin .t The steady state response C(t ) will

exhibit a resonance peak at a frequency of

(a.) 8 rad/sec

(b.) 4 2 rad/sec .

(c.) 4 rad/sec

(d.) 2 2 rad/ sec.

Q. 11 What is the Fourier Transform of given figure

(a.) 2 TAT S

2a

(b.)T

AT S2

a

(c.) 2 T2ATS

2a

(d.)T

2ATS2

a

Q. 12 Find the value of current 1"I " in the circuit shown below

(a.) 3.5 A (b.) – 3.5 A(c.) 4 A (d.) None of above

64( + 8)s s

r t ( ) ( )t +

–

A

– T T




Q. 13 In figure, the switch was closed for a long time before opening at t = 0. The voltage ‘R v ’ at

0t is:

(a.) It cannot be determined as the value of resistance are not given

(b.) 100 volts(c.) –100 volts(d.) 0 volts

Q. 14 For the root loci of unity feedback shown in the figure below

If the gain “K” is increased by 4-times then is

(a.) reduced by 0.5 times

(b.) increased by 2 times(c.) reduced by 2 times

(d.) none of above

Q. 15 Power consumed per phase is 3840 watts for the circuit shown below

Then the one possible value of PR is(a.) 29 (b.) 20 (c.) 15 (d.) 19.67

Q. 16 What will be the contents of register AL after the following has been executed MOV BL, 8C

MOV AL, 7E

ADD AL, BLa. 0A and carr fla is set

R 1

R 4R 3

R 2R 5

R 6

R 7

R 9

R 10

R 11

vR

R 12

R 8

10H

20

+ –

5A

t = 0

3 – Balanced Source

Z Z

Z

IY

IB

IR

R P + 20 j

R P + 20 j

400v R P +

2 0 j




(b.) 0A and carry flag is reset(c.) 6A and carry flag is set

(d.) 6A and carry flag is reset

Q. 17 A signal x(t) is applied to a matched filter and generate a signal y(t). The signal y(t) is sampled

at the rate of 10KHz by a delta modulator and modulated output are transmitted what will beminimum step size of delta modulator so that slope over load error will not occur at the

output

(a.) 1 10 –4

(b.) 3 10 –4

(c.) 1 10 –3

(d.) 3 10 –3

Q. 18 The value of

1/

0

(1 )lim

x

x

x e

x

is

(a.)2

e

(b.) e

(c.) 0

(d.) 1

Q. 19 The particular integral of the differential equation (D2 –3D + 2) y = sin (e –x) is

(a.) 2 22 sin( ) x x x xCe C e e e

(b.) 2 22 sin( ) x x x xCe C e e e

(c.) 2 22 sin( ) x x x xCe C e e e

(d.) 2 21 2 sin( ) x x x xC e C e e e

Q. 20 The harmonic conjugate of the functions 2 21ln( )

2u x y is

(a.) Does not exist

(b.) Since not harmonic, hence no harmonic conjugate

(c.) 1tan

y

x

(d.) 1siny

x




Q. 21 In a semiconductor it is obs

are quarter by holes. If at this temp

determine the ratio of electrons to h

(a.) 1 : 1(b.) 2 : 3

(c.) 4 : 2

(d.) 3 : 2

Q. 22 For the root locus plot of so

Find the value of K marked i

(a.) Transfer function required

(b.) 8

(c.) 48

(d.) 2 2

Q. 23

If reverse current of Ge tra

temperature must be increa

(a.) 37ºC

(b.) 47ºC


erved that three quarter of the current is carried by e

rature the drift speed of electrons is three time that

oles in the semiconductor

me open loop transfer function is shown below.

the graph

sistor at 25ºC is 2A. If VBB = 1 volt, then how mu

ed so that given transistor must come into cut off re

MN. ENGG. – EC

lectron and

f the holes,

h

gion:




(c.) 56.7ºC

(d.) 67.8ºC

Q. 24 The states of diode D1 and D2 in figure under extremely high negative (VS >> V) is

(a.) Both D1 and D2 off

(b.) D1 off & D2 on(c.) Both D1 and D2 on

(d.) D1 on & D2 off

Q. 25 In the circuit shown below the impedance of circuit should be independent of the frequency of

supply

The power loss will be ?

(a.)

2 C

Lv

(b.)

2 L

Cv

(c.)

2 L

Cv

(d.) none of above

Q. 26 to Q. 55 carry two marks each.

Q. 26 For the network shown below. The effect of uncounted signal at the output is zero.




The time signal correspond

(a.) ( )t

e u t

(b.)2 ( )t

e u t

Q. 27 The Laplace transfer of x(t ) i

which Fourier transform is

(a.) 315 7 12

6 10 15

t t e e

(c.) 315 7 12

6 10 15

t t e e

Q. 28 Two base band signals are tr

be the ratio of data rate use

same magnitude.

(a.) It is not practically pos

Q. 29 The gates 1 2 3 4, , , &G G G G

& 50 nSec respectively if the

changes from 1 to 0 at t = to ,


ng to ( )d G s is

(b.)2 3

( ) ( )t t

e u t e u t

(d.)

3( 2)

( ) ( 2)2 5

t t e eu t u t

s2

2

16( )

( 3)( 2)

s X s

s s s

Then evaluate the value

efine

2t

(b.)

3 27 2

10 5

t t t e e e

2t

(d.)

3 21 4 4

2 10 3

t t t e e e

nsmitted using modulation scheme FSK and PSK.

by FSK to PSK so that Pe for both the modulated s

Assumption: Keeping rest of the para

ible (b.) 2 (c.) 1/ 2 (d.) 1

5G has propagation delay of 10 nSec, 20 nSec, 30 n

input ‘V1’ makes an abrupt change from 0 to 1 at t

then output waveform V0 is

MN. ENGG. – EC

of x(t ) for

hat should

gnal have

eter same

ec, 40 nSec

to and V2




(a.)

(b.)

(c.)

(d.) None of above

Q. 30 In the figure shown below all

What is the value of Y0 after 3

(a.) A B (b.) A B

Q. 31 The impulse response of the

(a.) ( ) [ 1] 2 [h n n n

(b.) [ ] [ 3] [ 1h n n n

Q. 32 What is the inverse Fourier t


the FF’s are initially cleared

lock pulse.

(c.) AB (d.) A B

system shown below

2] [ 4]n (b.)

[ ] [ ] [ 2]h n n n

] 2 [ 2]n (c.)

[ ] [ 2] [ 5]h n n n

ansform of X()

MN. ENGG. – EC




(a.)cos sin 2

.2 2

t t

(b.)

cos 2 sin 2( ). .

2 2

t t d

(c.)sin sin 3

.3

t t

t t (d.)

sin 2 sin 2( ).

( )

t d

t

Q. 33 A uniform plane wave with^

E E x x

propagates in a loss-less medium

[ 4, 1and 0]r r

in the + z direction. Assuming that E x is sinusoidal with a

frequency of 100 MHz and has a maximum value of 410 V/m at t = 0 and z =

1

8m

Then, the expression for E field is

(a.)4 8 4

10 cos 2 103 6

t z (b.)

4 8 410 cos 2 10

3 6t z

(c.)4 8 4

10 cos 2 103 6

t z (d.)

4 8 410 cos 2 10

3 6t z

Q. 34 A charge moving with a velocity^

1 m/secv x

at a point in a magnetic field experiences a

force^ ^

1F ( ) N.q y z If the same charge moving with a velocity^

2 m/secv y at the same

point experiences a force^ ^

2F ( ) N.q x z Then the magnetic field intensity at that point is

(a.)^ ^ ^ 2( ) Wb/m x y z (b.)

^ ^ ^ 2( ) Wb/m x y z

(c.)^ ^ ^ 2

( ) Wb/m x y z (d.)^ ^ ^ 2

( ) Wb/m x y z

Q. 35

( ) . 2( ). y t sinc sinc t d

At what minimum frequency signal y(t) will be sampled so that y(t) can be reconstructed

from its sampled value .

(a.) 1 Hz (b.) 2 Hz (c.) 4 Hz (d.)3Hz

Q. 36 Which one of the following will represent the impulse response of static system

(a.) 2 . ( )t e u t (b.)

2 ( 2)t e u t (c.)2 ( 2)t e u t (d.)

2 ( )t e t

Q. 37 The matrix A is defined as

1 2 3

0 3 2

0 0 2

A

The eigen value of 3 2

3 5 6 2 A A A I are

(a.) 4, 110, 105

(b.) 2, 15, 18

(c.) 15, 18, 21




Q. 38 A single dice is thrown twice, what is the probability that the sum is neither 8 nor 9?(a.) 1/4 (b.) 2/4 (c.) 3/4 (d.) 1/9

Q. 39 In which of the following case, the order of convergence is quadratic?

(a.) Method of false position (b.) Newton-Raphson method

(c.) Bisection method (d.) Iterative method

Q. 40 In how many ways 30 marks can be allotted to 8 questions if each question carries at least 2

marks:(a.) 116280 (b.) 112801 (c.) 621180 (d.) 261180

Q. 41 For common emitter configuration given = 150 and IE = 3.2 mA and r 0 = determine the

value of zi (input impedance) and voltage gain AV if a load of 2K is applied

(a.) 1218.75 & –246.15 (b.) 1028.23 & –63.5

(c.) 928.63 & –111.23 (d.) 1423.75 & –363.23

Q. 42 If transistor is in active region calculate value of R 1

(a.) 51.19K (b.) 40K (c.) 61.23K (d.) 80K

Q. 43 In a semiconductor at room temperature (300K) the intrinsic carries concentration and

resistivity are 1.5 1016/m3 and 2 103 –m respectively. It is converted to an extrinsic

semiconductor with doping concentration of 1020/m3 with ‘P’ atom where the Fermi level is

located relative to intrinsic Fermi level (Ei)

(a.) 0.50eV (b.) 0.23eV (c.) 0.33eV (d.) 0.40eV

Q. 44 A semiconductor has intrinsic carries concentration of 16 31.6 10 / m and bad gap 1.25 ev. At

room temp. Estimate Nc & Nv for the effective mass ratio of */ * 4mn mp

(a.)26 26 3

8 10 /&10 / m

(b.)24 3 24 34 10 / & 10 /m m

(c.)26 3 26 316 10 / & 2 10 /m m

(d.)24 3 24 332 10 / & 4 10 /m m

Q. 45 Two J-K flip-flops are connected as synchronous counter that goes through the following

QBQA sequence 11 10 01 00 11 …………. the connection to the input & A B J J are

(a.) ; A A B B J Q J Q

(b.) ( ) ; J Q Q J Q Q




(c.) ; A A B B A B J Q Q J Q Q

(d.) 1 ; A B A B J J Q Q

Q. 46 The value of voltage A" "v shown in the figure given below is

(a.) 20 volts

(b.) 12 volts

(c.) 45 volts

(d.) none of above

Q. 47 A silicon MOSFET has following specifications: Threshold voltage = 1V Oxide thickness =

400ºA ,2(SiO ) 3.9,

r 148.85 10 F/cm

o

& 191.6 10 Cq

Below the gate region the region is ion implanted for threshold voltage tailoring. The amount & type

of implant assuming a sheet charge at interface required to shift threshold voltage by –1V are(a.) N-type MOSFET

(b.) N-type JFET

(c.) P-type MOSFET(d.) P-type JFET

Common Data Questions

Common Data for Questions 48 and 49:

Consider the open loop transfer function of a unity feedback system is3( 3)

G( )( 1)

ss

s s

Q. 48 The phase crossover frequency of the system is

(a.) 3 r/s(b.) 2 r/s

(c.) 3 r/s

(d.) 1 r/s

Q. 49 Which of the following for the above closed loop system is correct?

(a.) stable system

(b.) unstable system(c.) marginal stable system(d.) none of above




Common Data for Questions 50 a

For the network shown in figure Z

Q. 50 Calculate the value of r e

(a.) 28.2(b.) 18.44(c.) 12.2 (d.) 27.8

Q. 51 What is the value of AV (whe

(a.) –87.2(b.) –389.23

(c.) –888.7

(d.) –368.76

Linked Answer Questions

Statement for Linked Answer Qu

In the below diagram m(t) is a base

Q. 52 The signal y(t) is

(a.) Single side band modul

(b.) Double side band mod


nd 51:

i

n r 0 = )

estions 52 and 53:

band signal.

ated signal

lated signal

MN. ENGG. – EC




(c.) Phase modulated signal

(d.) Frequency modulated signal

Q. 53 In the above question the total transmitted power by the signal

(a.) Depends on the m(t) (b.)2

2

C A

(c.)4

8

C A

(d.)

2 2

2 2

C A m

Statement for Linked Answer Questions 54 and 55:

For the circuit shown below

Q. 54 The value of 2V is

(a.) 100 volts (b.) 1.81 volts (c.) 1 volts (d.) 12 volts

Q. 55 The average power delivered to the equivalent resistance of secondary across 2V is(a.) 1250 watts (b.)0.125 watts (c.)0.4095 watts (d.) 0.2047 watts

General Aptitude (GA) Questions (Compulsory)

Q. 56 – Q. 60 carry one mark each.

Q. 56 Find the missing number in given number series1, 8, 3, 16, 5, 32, 7, ……., 9

(a) 64 (b.) 55 (c.) 77 (d.) 40

Q. 57 Choose the most appropriate word from the options given below to complete the following

sentence:There are no permanent ___________in politics

(a) Associates (b.) allies (c.) collaborators (d.) partners

Q. 58 Choose the most appropriate alternative from the options given below to complete thefollowing sentence:

In final conclusion, the use of final is superfluous because conclusion _____ always final.

(a) was (b.) is (c.) are (d.) has been

Q.59 Which one of the following options is the closest in meaning to the word given below?

Plethora

(a.) excess (b.) lack (c.) rarity (d.) scarcity

Q.60 One of the parts (A, B, C, D) in the sentence given below contains an ERROR. Which one of the following is INCORRECT?

I don't think / that your friend has any illusions / about his scholarship. / No error

(a) (b) (c) (d)





Q. 61 - Q. 65 carry two marks each.

Q. 61 Shreya starts walking towards the east and, after covering a distance of 20 m, she turns leftand runs for 15 m. She then turns to her right and moves 25 m. From here, she again

turns right and walks for 15 m. How far is she from the starting point?

(a.) 40 m (b.) 45 m (c.) 50 m (d.) 60 m

Q. 62 Ten judges were asked to judge the relative sweetness of five compounds(A, B, C, D and E)

by the method of paired comparisons. In judging each of the possible pairs they were

required to state unequivocally which of the two compound was sweeter – a judgement of

equality or of no difference was not permitted.

The results of their judgements are summarized in the given table. In studying the table, note

that each cell entry shows the number of comparisons in which the ‘row’ compound was

judged to be sweeter than the ‘column’ compound.

A B C D E

A 5 8 10 2

B 5 3 9 6

C 2 7 7 8

D 0 1 3 4

E 8 4 2 6

How many comparisons did each judge make?

(a.) 5 (b.) 10 (c.) 15 (d.) 20

Q. 63 I tried a smile-there was no response. I offered the customary gifts-he waved them aside. I

tried the few words I knew-and with a gesture of dignity and scorn he handed me a present, asolitary egg; white and chilled it nestled in my palm. I smiled again but even I felt that my

smiles had become mechanical. There was obviously nothing for it: I would have to put on my

little act, which in my opinion is worth a whole Platoon of Assam riffles as a safety measure. I

removed my dentures. There was a roar of interest and excitement from the crowd. I put them

back another roar after I had conducted this humiliating performance several times, there was

at least a reaction. The chief’s lips began to twitch, and finally he broke into a hearty laugh.

Pointing to his grey hair, he declared, ‘I am an old man too’ and soon he was sitting beside me

very affably.

The removing of dentures by the author was intended to show that:

(a.) he was not frightened.(b.) he was old and weak in some ways.

(c.) he knew a lot of tricks to amuse people.

(d.) he did not wish to be treated as a friend.

Q.64 300 gram of sugar solution has 40% sugar in it. How much sugar (in gram) should be added to

make it 60% in the solution?

(a.) 10 (b.) 40 (c.) 90 (d.) 60

Q.65 Indian army can fire four shots at a time with an anti aircraft gun, If the probabilities of the 1st

, 2nd , 3rd and 4th shot hitting the enemy aircraft are 0.7, 0.6, 0.5 and 0.4.

What is the probability that four shots aimed at an enemy aircraft will bring the aircraft down?





(a.) 0.964 (b.) 0.123 (c.) 0.166 (d.) 0.888

END OF THE QUESTION PAPER

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