MOCK TEST EE-D

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EE : ELECTRICAL ENGINEERING

Duration : Three Hours Maximum Marks : 100

Read the following instructions carefully.

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

2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the sealand read the in-struments printed on the ORS carefully. If you find the Question Booklet Code printed at the right hand top cornerof this page does not match with the Booklet Code on the ORS, exchange the booklet immediately with a new sealedQuestion Booklet.

3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble corresponding to your testpaper code and the appropriate bubble under each digit of your registration number and (ii) write your registrationnumber, your name and name of the examination center and put your signature at the specified location.

4. This Question Booklet contain 16 pages including blank pages for rough work. After you are permitted to open theseal, please check all pages and report discrepancies, if any, to the invigilator.

5. There are a total of 65 Question carrying 100 marks. All these questions are of objective type. Each question has onlyon correct answer. Question must be answered on the left hand side of the ORSby darkening the appropriate bubble(marked A, B, C, D) using ONLY a black ink ball point penagainst the question number. For each question darken thebubble of the correct answer. More than on answer bubbled against a question will be treated as an incorrect response.

6. Since bubbles darkened by the black ink ball point pen cannotbe erased, candidates should darken the bubbles in theORS very carefully.

7. Question Q. 1 Q. 25 carry 1 mark each. Questions Q. 26 - Q. 55 carry 2 marks each. The 2 marks question include twopairs of common data questions and two pairs of linked answer questions. The answer of the second question of thelinked answer questions depends on the answer to the first question of the pair. If the first question in the linked pairis wrongly answered or is unattemped, then the answer to the second question in the pair will not be evaluated.

8. Question Q. 56 - Q. 65 belong to General Aptitude (GA) section and carry a total of 15 marks. Question Q. 56 - Q.60carry 1 mark each, and questions Q. 61 -Q. 65 carry 2 marks each.

9. Unattempted questions will result in zero mark and wrong answer 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 foreach wrong answer. However, in the case of the linked answer question pair, there will be negative marks only for wronganswer 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 NOTallowed 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 forrough work.

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

blank ink ball point pen.

Names

Registration Number EE

For Answer Key and Full Solution mail to [email protected].


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Q. 1- Q. 25 carry one mark each.

Q.1 Let ( )f x ex= in [0,1]. Then, the value of cof the mean-value theorem is

(A) 0.5 (B) ( 1)e

(C) ( 1)log e (D) None

Q.2x x

dx2

# is equal to

(A) x x c2 + (B) (2 1)sin x c1 +

(C) (2 1)log x c + (D) (2 1)tan x c1 +

Q.3 The particular integral for the differential equation

6

dx

d y

dx

d y

dx

dy3

3

2

2

1 x2= + is given by

(A) x x x91

41

12253 2+ = (B) x x x

18 36 108253 2 +

(C) x x x21

9253 2 (D) x x x

31

121

36252 2+

Q.4 The value of2

cosi z

zdz

11

c

2

# around a rectangle with vertices at 2 , 2i i! ! is

(A) 6 (B) i e2

(C) 8 (D) 0

Q.5 Resolution of 4-bit analog to digital converter in percent is

(A) 6.25% (B) 6.67%

(C) 12.5% (D) 25%

Q.6 For the circuit shown below the value of Avv

vi

o= is

(A) 10 (B) 10

(C) 13.46 (D) 13.46


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Q.7 A logical function of four variable is given as ( , , , )f A B C D ( )( )A BC B CD = + +The function as a sum of product is

(A) A BC AC D BCD + + + (B) A BC ACD BCD + + +

(C) AB BC ACD BCD + + + (D) AB AB AC D BCD + + +

Q.8 The diodes in the circuit shown below has parameters 0.6V = V and 0rf= . Thecurrent iD2is

(A) 8.4 mA (B) 10 mA

(C) 7.6 mA (D) 0 mA

Q.9 The Bode plot for a transfer function is shown in fig below. The steady state errorcorresponding to a unit step input is

(A)1001 (B)

1011

(C)411 (D)

401

Q.10 The open-loop transfer function with ufbare given below for different systems. The

unstable system is

(A)s 2

2+

(B)( )s s 2

22 +

(C)( )s s 2

2

(D)( )( )

s s

s

22 1

+

+


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Q.11 A system is shown below. The transfer function for this system is

(A)G G H G H

G G1 1 1 2 2 1

1 2

+ + (B)

G G H H G G

1 1 2 1 21 2

+ +

(C)G H G G G G H H

G G1 1 1 2 2 1 2 1 2

1 2

+ (D)

G H G H G G H H G G

1 1 1 2 2 1 2 1 21 2

+ + +

Q.12 The pole-zero plot shown below is that of a

(A) PID controller (B) PD controller

(C) Integrator (D) Lag-lead compensating network

Q.13 A magnetic circuit with a cross-sectional area of cm20 2is to be operated at 0 Hz5 from a 120 Vrms supply. The number of turns required to achieve a peak magneticflux density of 1.8 Tin the core is

(A) 942 (B) 106

(C) 150 (D) 666

Q.14 What is the increase in the torque expressed as percentage of initial torque, if thecurrent drawn by a dc series motor is increased from 10 A to 12 A (Neglect saturation)?

(A) 21% (B) 25%(C) 41% (D) 44%

Q.15 Which one of the following is not a necessary condition to be satisfied for synchronizingan incoming alternator to an already operating alternator ?

(A) Same voltage magnitude (B) Same frequency

(C) Same prime mover speed (D) Same phase sequence


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Q.16 An induction motor when started on load does not accelerate up to full speed butruns at 1/7 th of the rated speed. The motor is said to be

(A) locking (B) plugging

(C) crawling (D) cogging

Q.17 In a stepper motor, the detent torque means

(A) minimum of the static torque with the phase winding excited

(B) maximum of the static torque with the phase winding excited

(C) minimum of the static torque with the phase winding unexcited

(D) maximum of the static torque with the phase winding unexcited

Q.18 Consider a discrete-time system Swhose response to a complex exponential input

e

/2j n

is specified as :S e/2j

e3 /2j n

&

. The system is(A) definitely LTI (B) definitely not LTI

(C) may be LTI (D) information is not sufficient

Q.19 The Fourier series coefficient for the periodic signal shown below is

(A) 1 (B) cos k2^ h

(C) sin k2^ h (D) 2

Q.20 In the circuit of figure the voltage v1is equal to

(A) 11 V (B) 5 V

(C) 8 V (D) 18 V


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Q.21 In the following lattice network the value of RLfor the maximum power transfer toit is

(A) 6.67 (B) 9

(C) 6.52 (D) 8

Q.22 For the circuit shown below the equivalent inductance Leqis

(A) 0.2 H (B) 1 H

(C) 0.4 H (D) 2 H

Q.23 Three loads each of resistance 40 are connected in a star-configuration with a240 3 V three-phase supply. The value of phase voltage and phase current arerespectively-

(A) 240 3 V, 6 3 A (B) 240 V, 6 A

(C) 80 V, 6 3 A (D) 240 3 V, 6 A

Q.24 Consider the following statements in respect of load flow studies in power systems :

1. Bus admittance matrix is a sparse matrix

2. Gauss-Seidel method is preferred over Newton-Raphson method for load flow

studies

3. One of the buses is taken as slack bus in load flow studies

Which of the statements given above are correct ?

(A) 1, 2 and 3 (B) 1 and 2

(C) 1 and 3 (D) 2 and 3

Q.25 An unknown voltage is applied to the horizontal deflection plate of a CRO, which


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shifts the spot by 5 mm towards the right. If the deflection sensitivity is 0.05 mm/V,then the applied unknown voltage is

(A) 25 V (B) 10 V

(C) 100 V (D) 50 V

Q. 26- Q. 55 carry two mark each.

Q.26 The following figure shows a circuit for harmonic reduction of an inverter system.Each inverter has output voltage of 400 V and each transformer has primary tosecondary turns ratio of 1 : 2 . If the firing angles for the two inverter differ by 30c,the output voltage will be

(A) 1.54 kV (B) 386.37 V

(C) 772.74 V (D) 1.38 kV

Q.27

A variable speed drive rated for 1500 rpm, 40 Nm is reversing under no load. Figureshows the reversing torque and the speed during the transient. The moment of inertiaof the drive is

(A) 0.048 kg-m2 (B) 0.064 km-m2

(C) 0.096 kg-m2 (D) 0.128 kg-m2


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Q.28 A single-phase fully controlled thyristor bridge ac-dc converter is operating at a firingangle of 25cand an overlap angle of 10cwith constant dc output current of 20 A. Thefundamental power factor (displacement factor) at input ac mains is

(A) 0.78 (B) 0.827

(C) 0.866 (D) 0.9

Q.29 A single phase short-transmission line is feeding a load of 12 kW at a 0.8 lagging powerfactor. The transmission line resistance and reactance are 5 and 10 respectively.If the terminal voltage across the load is 440 V, then what is the transmissionefficiency ?

(A) 48.45% (B) 76.34%

(C) 67.36% (D) 32.64%

Q.30 Two generating stations are connected together through transformers and atransmission line as shown in figure. The component specification are given asfollowing

GeneratorG1: 11 kV, 40 MVA, 15%



TransformerT1: 40 MVA, 11/66 kV, 15%

TransformerT2: 40 MVA, 66/11 kV, 15%

TransformerT3: 5 MVA, 11/6.6 kV, 8%

If a three phase fault occurs as shown in figure, the fault current is

(A) 2.09 kA (B) 1.37 kA

(C) 1.20 kA (D) 2.87 kA

Q.31 A 3-phase star-connected generator supplies a star-connected inductive load througha transmission line as shown in figure. The load reactance is 0.5 puj per phase andthe line reactance is 0.1 puj per phase. The positive, negative and zero-sequencereactances of the generator are . , .j j0 5 0 5and 0.05 puj respectively.


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A single line-to-ground fault occurs at the mid point of the line. Prior to fault the

network is balanced and the voltage at the fault location is 1 0cpu. The value ofcurrent through the fault path is

(A) .j2 5 pu (B) .j1 90 pu

(C) .j3 24 pu (D) .j4 0 pu

Q.32 The set-up in the figure is used to measure resistance R.The ammeter and voltmeterresistances are 0.01 and 2000 , respectively. Their readings are 2 A and 180V, respectively, giving a measured resistances of 90 The percentage error in themeasurement is

(A) 2.25% (B) 2.35%

(C) 4.5% (D) 4.71%

Q.33 The series ohmmeter shown in the figure uses a 100 A meter and a resistance R1. It is given that ( ) 15 kR Rm1 + = , then which of the following statement is true ?

(A) At 25% of full-scale deflection, the measured value of resistance Rxis 10 k

(B) At 50% of full-scale deflection, the measured value of resistance Rxis 15 k

(C) At 75% of full-scale deflection, the measured value of resistance Rxis 45 k

(D) none of above


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Q.34 A 4 kHz sinusoidal signal is being observed on the screen of a CRO. For a sweepfrequency of 8 kHz and 2 kHz, the number of cycles of the input signal appeared onthe screen will be respectively

(A) 1, 4 (B) 0.5, 1

(C) 4, 1 (D) 0.5, 2

Q.35 A 50 Hz, bar primary CT has a secondary with 300 turns. The resistance and reactanceof secondary circuits are .1 3 and .0 8 respectively and it supplies a current of 5A. The core requires an equivalent of mmf of 90 AT for magnetization and 45 AT forcore losses. The actual ratio will be

(A) 317.1 (B) 307.6

(C) 320 (D) 309.4

Q.36 For the circuit shown below the transistor parameters are 3.5 VVp = , 18mAIDSS=, and 0 = . The value of VDSis

(A) 7.43 V (B) 8.6 V

(C) 1.17 V (D) 1.17 V

Q.37 For the transistor shown below 25 = . The range of V1such that 1.0 4.5VCE# # is

(A) 1.86 3.96V1# # V (B) 2.81 4.46V1# # V

(C) 1.43 79V1# # V (D) 2.18 3.69V1# # V


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Q.38 In the network shown below fcan be written as

(A) ... ...X X X X X X X X X X n n n0 1 3 5 2 4 5 1 1+ +

(B) ... ...X X X X X X X X X X n n n0 1 3 5 2 3 4 1+ +

(C) ... ... ...X X X X X X X X X X X n n n n 0 1 3 5 2 3 5 1+ + + +

(D) ... ... ...X X X X X X X X X X X X n n n n n 0 1 3 5 1 2 3 5 1 2+ + + +

Q.39 The sum and product of the mean and variance of a binomial distribution are 24 and128 respectively. Then, the distribution is

(A)71

81 12+b l (B) 41 43

16+b l

(C)61

65 24+b l (D) 2

121 32+b l

Q.40 For xydxdy

= given that 1y= at 0x= . Using Euler method taking the step size 0.1,the yat 0.4x= is

(A) 1.0611 (B) 2.4680

(C) 1.6321 (D) 2.4189

Q.41 Two systems have impulse responses as ( )h t1 ( ) ( 4)u t u t = and ( )h t t

42rect2 =

b lIf these systems are cascaded then response of the total system is


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Q.42 The system of equations 4 7 14x y z + = , 3 8 2 13x y z+ = , 7 8 26 5x y z + = has

(A) a unique solution (B) no solution

(C) an infinite number of solution (D) none of these

Q.43 Suppose we have given following information about a signal ( )x t :1. ( )x t is real and odd.

2. ( )x t is periodic with 2T=

3. Fourier coefficients [ ] 0X k = for 1k >

4. ( )x t dt 21 2

0

2

# 1=The signal, that satisfy these condition, is

(A) sin t2 and unique (B) sin t2 but not unique

(C) 2sin t and unique (D) 2 sin t but not unique

Q.44 Four types of d.c. generators of constant speed are considered (List I). Their externalcharacteristics at constant speed are given in List II. Match List I (Type of d.c.generator) with List II(External characteristics) and select the correct answer usingthe codes given below

Codes :

A B C D

(A) 2 3 1 4(B) 1 4 2 3

(C) 1 3 2 4

(D) 2 4 1 3

Q.45 A 480 V, 100 kW, 50 Hz, unity pf, six-pole star-connected synchronous motor isto be operated over a continuous range of speeds from 00 r3 pmto 1000 rpm. It hasa synchronous reactance of 1.5 and a negligible armature resistance. What is thevalue of generated voltage at 300 rpm ?


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(A) 99.2 V (B) 168.4 V

(C) 330.6 V (D) 364.3 V

Q.46 For the ufbsystem, shown below consider two point

s1 2 3j= + and 2s j 212 = +

The point on root locus are

(A) Both s1and s2 (B) s1but not s2

(C) s2but not s1 (D) neither s1nor s2

Q.47 The switch is closed after long time in the circuit shown below. The ( )v t for 0t > is

(A) 8 6 4sine tt3 + V (B) 12 4 4cose tt3 + V

(C) 12 (4 4 3 4 )cos sint t e t3 + + V (D) 12 (4 4 6 4 )cos sint t e t3 + + V

Statement for Question 48-49 :

A system is described by A0

3

1

6=

> H, B 01= > H, C 1 1= 8 B

Q.48 The steady state error due to step input is

(A) 2/3 (B) 1/3

(C) 3 (D) 0

Q.49 The steady state error due to ramp input is

(A) 1/3 (B) 2/3

(C) 3 (D) 0


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Statement for Q. 50-51

An alternator rated at 10 kV is protected by the balanced circulating current system.

It has its neutral grounded through a resistance of 10 . The protective relay is set

to operate when there is an out of balanced current of 1.8 Ain the pilot wires, which

are connected to the secondary windings of 1000/5 ratio current transformers.

Q.50 What is the percent winding which remains unprotected ?

(A) 62.36% (B) 37.64%

(C) 3.12% (D) 96.88%

Q.51 The minimum value of the earthing resistance required to protect 80% of the windingis

(A) .12 82 (B) .3 20

(C) .16 04 (D) .2 07

Statement for Q. 52-53 :

A 120 V, 2400 rpmdc shunt motor operates at its rated speed at full-load and draws

14.75 Acurrent. The armature resistance is 0.4 and shunt field resistance is 160

. The no-load current is 2 A. An external resistance of 3.6 is now inserted in series

with the armature while the torque developed is unchanged.

Q.52 The no-load speed of the motor before adding the external resistance is

(A) 2297.5 rpm (B) 2300 rpm

(C) 2507 rpm (D) 2214 rpm

Q.53 The full-load efficiency of the motor after adding the external resistance would be

(A) 42.2% (B) 46.1%

(C) 60.95% (D) 55.1%

Statement for Q. 54-55:

The circuit is as shown below


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Q.54 In the circuit below the current ( )i t1 is

(A) 2.36 (4 41.07 )cos t c A (B) 2.36 (4 41.07 )cos t c+ A

(C) 1.37 (4 41.07 )cos t c A (D) 2.36 (4 41.07 )cos t c+ A

Q.55 In the circuit shown below the current ( )i t2 is(A) 2.04 (4 92.13 )sin t c+ A (B) 2.04 (4 2.13 )sin t c + A

(C) 2.04 (4 2.13 )cos t c+ A (D) 2.04 (4 92.13 )cos t c + A

General Aptitude(GA)Questions

Q.56- Q 60 carry one mark each

Q.56 Which one of the following is the Antonym of the word HOSTILE ?

(A) alluvial (B) able

(C) amicable (D) alterable

Q.57 Which one of the following is the synonym of the word PROTAGONIST ?

(A) prophet (B) explorer

(C) talented child (D) leading character

Q.58 One of the four words given in the four options does not fit the set of words. The odd

word from the group, is(A) Coal (B) Humus

(C) Loam (D) Clay

Q.59 A pair of CAPITALIZED words shown below has four pairs of words. The pair ofwords which best expresses the relationship similar to that expressed in the capitalizedpair, is

BRAND : PRODUCT

(A) Dalda : Rath (B) Aircraft : Flying Machine

(C) Ram : Boys (D) Sports car : Automobile

Q.60 In the following sentence, a part of the sentence is left unfinished. Four different waysof completing the sentence are indicated. The best alternative among the four, is

The highest reward for a mans toil is not what he gets for it but what .......

(A) he makes out of it (B) he gets for others

(C) he has overcome (D) he becomes by it


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Q. 61-65 carry two marks each

Q.61 In Sivkasi, each boys quota of match sticks to fill into boxes is not more than 200per session. If he reduces the number of sticks per box by 25, he can fill 3 more boxeswith the total number of sticks assigned to him. Which of the following is the possible

number of sticks assigned to each boy ?(A) 200 (B) 150

(C) 125 (D) 175

Q.62 A man bough 19 erasersfor .Rs 10. He paid 20 paisemore for each white eraser thanfor each brown eraser. What could be the price of a white eraser and how many whiteerasers could be have bought ?

(A) 60 paise, 8 (B) 6 paise0 , 12

(C) 50 paise, 8 (D) 50 paise, 10

Q.63 In how many ways can eight directors, the Vice-chairman and the Chairman of a firmbe seated at a round table, if the Chairman has to sit between the Vice-Chairmanand a director ?

(A) !9 2# (B) !2 8#

(C) !2 7# (D) None of these

Q.64 A calculator has two memory buttons, Pand Q. Value 1 is initially stored in bothmemory locations. The following sequence of steps is carried out five times.

(a) add 1 to Q (b) multiply Pand Q

(c) store the result in P

What is the value stored in memory location Pafter this procedure ?

(A) 120 (B) 450

(C) 720 (D) 250

Q.65 One man can do as a woman can do in 2 days. A child does one-third the work in aday as a woman. If an estate-owner hires 3 pairs9 of hands, men, women and children

in the ratio : :6 5 2and pays them in all .Rs 1113at the end of the days work. Whatmust the daily wages of a child be, if the wages are proportional to the amount ofwork done ?

(A) .Rs 14 (B) . 5Rs

(C) .Rs 20 (D) .Rs 7

END OF THE QUESTION PAPER

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