MOCK TEST EE-C

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MOCK TEST FIRST WWW.GATEHELP.COM

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 For the circuit shown in figure the dependent source

(A) supplies 16 W (B) absorbs 16 W

(C) supplies 32 W (D) absorbs 32 W

Q.2 Which of the points on the torque-speed curve of the induction motor representsoperation at a slip greater than 1 ?

(A) W (B) X

(C) Y (D) Z

Q.3 A thyristor circuit is shown in the figure. The latching current of the thyristor is 80mA. The minimum width of the gate pulse to trigger the thyristor is

(A) 8 msec (B) 4 msec

(C) 1.25 msec (D) 2.5 msec

Q.4 In the following circuit for which of the following input combination output will be1 ?


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(A) ,A B0 0= = (B) ,A B1 0= =

(C) ,A B0 1= = (D) Either A 1= or B 1=

Q.5 A feedback control system is shown in figure. The transfer function for this system is

(A) H G G GG G

1 1 1 2 31 2

+ (B) ( )G H G G G G

11 1 2 32 3

+

(C)H G G GG G

1 1 1 2 32 3

+ (D)

( )G H G G G G

11 1 2 32 3

+

Q.6 If the prime mover of an alternator supplying load to an infinite bus is suddenly shutdown, then it will

(a) stop

(b) continue to run as an alternator

(c) continue to run as synchronous motor running in the reverse direction

(d) continue to run as a synchronous motor running in the same direction.

Q.7 Consider the function ( )x t shown in figure

The even part of ( )x t is


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Q.8 The increased load demand in a synchronous motor is met by

(A) reduction in speed

(B) increase in speed

(C) decrease in stator current

(D) relative shift between stator and rotor poles

Q.9 A open-loop pole-zero plot is shown in figure

The general shape of the root locus is

Q.10 A power system is supplied by three plants ,P Qand R , all of which are operating oneconomic dispatch. At the bus of Plant Pthe incremental cost is 10.0 Rs. per MWh,

at Plant Qit is 9.0 Rs. per MWh and at Plant Rit is 11.0 Rs. per MWh. The plantswhich has the highest and lowest penalty factor are respectively ?

(A) Pand R (B) Qand R

(C) Qand P (D) Rand P

Q.11 For a logic family if

VOHis minimum output high level voltage

VOLis maximum output low level voltage


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VIHis minimum acceptable input high level voltage

VILis maximum acceptable input low level voltage

The correct relationship among these is

(A) V V V V > > >IH OH IL OL (B) V V V V > > >OH IH IL OL

(C) V V V V > > >IH OH OL IL (D) V V V V > > >OH IH OL IL

Q.12 An audio amplifier is designed to have a small signal bandwidth of 20 kHz. The openloop low-frequency voltage gain of the op-amp is 105and unity gain bandwidth is 1MHz. What is the maximum closed-loop voltage gain for this amplifier

(A) 500 (B) 5 106#

(C) 2 106# (D) 50

Q.13 If a voltage of 0.6972 V is being measured by a 421 digit voltmeter, then which of the

following statement is true ?

(C) The voltmeter will display 0.6973 on a 1 V range

(A) The voltmeter will display 0.697 on a 10 V range.

(B) The voltmeter will display 0.697 on a 1 V range

(D) both (A) and (B)

Q.14 For the circuit shown below cutin voltage of diode is .V 0 7= . What is the value ofVand I?

(A) 2.3 V, 2.65 mA (B) 2.65 V, 2.3 mA

(C) 2 V, 0 mA (D) 0 V, 2.3 mA

Q.15 If the iron core of a transformer is replaced by an air core, then the hysteresis lossesin the transformer will

(A) increase (B) decrease

(C) remain unchanged (D) become zero

Q.16 The expected value of the voltage across a resistor is 80 V, and the measured value is79 V. What is the percentage error and relative accuracy of the measurement ?

(A) 1.265%, 98.735% (B) 1%, 99%

(C) 2.625%, 97.375% (D) 1.25%, 98.75%


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Q.17 If the fault current is 2,000 A, the relay setting is 50% and CT ratio is 400/5, theplug setting multiplier will be

(A) 25 (B) 15

(C) 50 (D) 10

Q.18 In case of a split phase motor, the phase shift between current in two windings isaround

(A) 30c (B) 70c

(C) 90c (D) 120c

Q.19 Mho relay is normally used for the protection of

(A) short transmission lines. (B) medium transmission lines.

(C) long transmission lines. (D) no length criterion.

Q.20 A power diode is in the forward conduction mode and the forward current is nowdecreased. The reverse recovery time of the diode is trand the rate of fall of the diodecurrent is /di dt. What is the stored charge ?

(A)dtdi

trb l (B) dtdi

t21

r2b l

(C)dtdi

tr2b l (D) dt

dit

21

rb lQ.21 If Aand Bare square matrices of order 4 4# such that A 5= B and .A B= ,

then is

(A) 5 (B) 25(C) 625 (D) None of these

Q.22 An oriented-graph has n nodes and b branches. The dimension of incident matrixis

(A) ( )n b1 # (B) ( )n b 1#

(C) n b# (D) ( 1) ( )n b 1#

Q.23 In the following circuit the current ibis

(A) 0.6 A (B) 0.5 A

(C) 0.4 A (D) 0.3 A


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Q.24 The ztransform of a signal [ ]u n4

4 ` j is(A) ,

zz z

4 14

41>

(B) ,

zz z

4 14

41

(D) ,

z z

1 41

41 Hnow a resistor Ris connected across input terminal as shown in figure. What will be

the modified parameter z 11l of the network is ?

(A) z z11 11=l (B) z z R11 11= +l

(C) z

Rz

z

111

11

11=+

l

a k (D) z

z Rz R

1111

11=+

l


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Q.42 An X Y flip-flop whose characteristic table is given below is to be implementedusing a J-K flip-flop

X Y Qn 1+

0 0 10 1 Qn

1 0 Qn

1 1 0

Where Qnis the previous state and Qn 1+ is the next state. This can be done by using

(A) ,J X K Y = = (B) ,J X K Y = =

(C) ,J Y K X = = (D) ,J Y K X = =

Q.43

A single phase half wave rectifier circuit is shown in the figure. The thyristor is firedat 30cin each positive half cycle. The values of average load voltage and the rms loadvoltage will respectively be

(A) 475.2 V, 190.9 V (B) 237.64 V, 194.2 V

(C) 118.8 V, 197.1 V (D) 237.6 V, 197.1 V

Q.44 The solution of the differential equation ( )x y dx xydy 2 02 + = is

(A) ye A/x2 = (B) xe A/y x2

=

(C) xe A/x y2

= (D) ye A/x y2

=

Q.45 The probability that a man who is xyears old will die in a year is p. Then amongestnpersons , ,...,A A An1 2 each xyears old now, the probability that, A1will die in oneyear is

(A) n12 (B) ( )p1 1 n

(C) [ ( ) ]n

p1 1 1 n2

(D) [ ( ) ]n

p1 1 1 n

Q.46 Let,.

A2

0

0 1

3=

= Gand A ab0

1 21

=- = G. Then ( )a b+ =

(A) 7/20 (B) 3/20

(C) 19/60 (D) 11/20


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Common Data For Questions 50 and 51

A 3-, Y-connected, 60 Hz synchronous motor is rated as 10 hp, 230 V. It delivers

full load at a power factor of 0.707 leading. The synchronous reactance of the motor

is 5 /phasej . The rotational loss is 230 Wand the field-winding loss is 70 W.Neglect

the armature-winding resistance.

Q.50 The efficiency of motor will be

(A) 97% (B) 96.1%

(C) 92.7% (D) 93.3%

Q.51 The generated voltage will be

(A) 248.8 . V22 8c (B) 105. V5 90c

(C) . V103 69 4c (D) 105. V5 45c

Statement For Linked Answer Questions 52 and 53:

A three-phase, 50 Hz overhead transmission line is supplying a 0.8 power factor

lagging load with both the sending end and receiving end line voltages held at 110

kV and the former leads by 15c. The line constants are . ,A B0 96 1 100 83c c = = .

Q.52 How much the active power(PR) and reactive power(QR) are demanded by load ?

(A) 265 198.53P QkW, kVARR R= =

(B) . 18.P Q24 48 36MW, MVARR R= =

(C) 29.16 .8P Q 27 7MW, MVARR R= =(D) . .P Q29 16 17 50MW, MVARR R= =

Q.53 If a compensating device is required to met the demand of load, then VAR rating ofdevice should be

(A) 24.71 MVAR (B) 2.84 MVAR

(C) 19.03 MVAR (D) 21.87 MVAR

Statement For Linked Answer Questions 54 and 55

Consider a linear system whose state space representation is ( ) ( )x t Ax t = . If the initial

state vector of the system is ( )x 01

2=

= G, then the system response is ( )x t e

e2

x

t

2

2=

> H. If the itial state vector of the system changes to ( )x 0

1

2=

= G, then the system

response becomes ( )x t e

e

t

t=

> HQ.54 The eigenvalue and eigenvector pairs ( )vi i for the system are


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(A) 11

1

e o= G and 2 12 e o= G (B) ,1

1

1

e o= G and ,2 12e o= G

(C) ,11

1

e o= G and ,2 12 e o= G (D) 2

1

1

e o= G and ,1 12e o= G

Q.55The system matrix Ais(A)

0

1

1

1= G (B)1

1

1

2 = G(C)

2

1

1

1 = G (D)0

2

1

3 = GGeneral Aptitude(GA)Questions

Q.56- Q 60 carry one mark each

Q.56 Which of the following options is the closet in meaning to the word given belowRuse

(A) trick (B) pause

(C) fault (D) pattern

Q.57 In the following series, what number should come next ?

3, 4, 7, 8, 11, 12, ........

(A) 7 (B) 10

(C) 14 (D) 15

Q.58 Which word does NOT belong withe the others ?

(A) branch (B) dirt

(C) leaf (D) root

Q.59 Let p, q and r be distinct integers that are odd and positive. Which of the followingstatements can be true ?

(A) pqr is even (B) pq+qr+rp is even

(C) pq+qr+p+q is odd (D) none of these

Q.60 The sum of series ........ n n1 1 2 2 3 32 2 2 2 + + + + + is

(A)( )n n3

1 + (B)

( )( )n n n3

1 1+

(C)( )n n

31

(D) none of these

Q. 61-65 carry two marks each

Q.61 The increasing scarcity of available rental housing, particularly apartment with two


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or more bedrooms, is attributable to two recent trends : the increasing number of newoffice buildings as compared to new apartment buildings and the increasing numberof rental apartments being sold as condominiums rather than rented.

The passage above best supports which of the following conclusions ?

A. The rate at which new apartment building are being built is decreasing.

B. The current demand for reasonably priced rental housing is greater than thecurrent supply.

C. Most rental apartments being sold as condominiums have at least twobedrooms.

D. More new office buildings than rental apartment buildings are currently beingbuilt.

Q.62 A person can complete a work in 12 days. After he works for some days, one moreperson of equal capacity joins him and they completed the work together in 3 days

earlier. After how many days the other person did join him?(A) 2 (B) 4

(C) 6 (D) 8

Q.63 An amount was to be divided between P and Q in the ratio 3 : 2. Somehow it wasfound that P got one fifth of the total amount more than his expected share. In whatratio was the amount divided between P and Q ?

(A) 5 : 2 (B) 2 : 1

(C) 2 : 5 (D) 4 : 1

Q.64 Here are some words translated from an artificial language.moolokarnmeans blue sky

wilkospadimeans bicycle race

moolowilkomeans blue bicycle

Which word could means racecar

(A) wilkozwet (B) spadiwilko

(C) moolobreil (D) spadivolo

Q.65 Blueberries cost more than strawberries.

Blue berries cost lest than raspberries. Raspberries cost more than both strawberries and blueberries.

If the first two statements are true, the third statement is

(A) true (B) false

(C) uncertain. (D) can not be determined

END OF THE QUESTION PAPER


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