TECHNICAL SECTIONQUESTIONS 1 TO 25 CARRY 1 MARK EACH

1. The z-transform of an cos nq is

(a) 2( cos )

2 cosz a

z za- q

- q(b) 2 2

( )2

z z az za a

-- +

(c) 2 2( cos )2 cos

z z az za a

- q- q +

(d) None of these

2. Matrix 8 04 0 2

12 6 0

xé ùê úê úê úë û

will become singular, if value of x is

3. The number of vertices of odd degree is always(a) even number (b) odd number(c) prime number (d) zero

4. There are 9 objects and 9 boxes. Out of 9, 5 objects cannot fitto be put in 3 small boxes. How many arrangements can bemade, such that each object can be put in one box only?

5. The Fermi-level of intrinsic semiconductor lies(a) near the conduction band(b) near the valence band(c) centre is the forbidden gap(d) in the conduction band

6. For a transform coupled power amplifier maximum theoreticalefficiency will be ________ %.

7. The relation exist between the circuit magnification factor Qothe resonant frequency fo and bandwidth D f

(a) Q = offD

(b) Q = o

ff

D

(c) Q = 2offD

(d) Q = 2

offD

8. In the Smith chart, the normalised impedance is same for(a) l distance (b) l/2 distance

(c)4l distance (d) 2l distance

9. The input resistance and output resistance of current seriesfeedback(a) increases and decreases respectively(b) increases and increases respectively(c) decreases and increases respectively(d) decreases and decreases respectively

10. Which of the following statement is not correct?

(a) Lag compensator is a low pass filter(b) Lag compensator improve phase margin(c) Lag compensator reduce the bandwidth(d) Faster the transient response

11. For multiple scattering mechanism, if individual mean freetime of scattering are tm1, tm2, ... Then, the effective mean freepath (tm)(a) tm = tm1 + tm2 + tm3 + ...

(b) tm = 1 2 3 ...m m mt t t

(c) 1

mt =

1 2 3

1 1 1 ...m m m

+ + +t t t

(d) tm = tm1 . tm2 . tm3 ...12. Avalanche breakdown occurs at

(a) higher electrical field(b) lower electrical field(c) for light doping impurities(d) None of these.

13. Consider a plane wave travelling in z-direction incidentnormally on the boundary z = 0 of two media havingcharacteristics impedance h2 > h1. Which of the followingstatement is not correct?(a) There is standing wave in medium 1(b) There is transmitted wave in medium 2(c) The incident and reflected wave have different magni-

tude(d) Standing wave in medium 2

14. The intrinsic impedance for TE mode is

(a) 2( 1 ( / )cf fh - (b) h¢

(c) h2 (d)21 ( / )cf e

h

-15. Op-amp is a

(a) voltage controlled voltage source(b) current controlled voltage source(c) voltage controlled current source(d) current controlled current source

16. Hilbert transform of sin wt + cos wt is(a) sin wt + cos wt (b) sin wt – cos wt(c) sin wt (d) cos wt

17. In synchronous detector shown in figure is used todemodulate AM signal. The block A will be

FULL TEST

One of the leading publishers in India, Disha Publication provides books and study materials for schools and various

competitive exams being continuously held across the country. Disha's sole purpose is to encourage a student to get

the best out of preparation. Disha Publication offers an online bookstore to help students buy exam books online

with ease. We, at Disha provide a wide array of Bank Exam books to help all those aspirants who wish to crack their

respective different levels of bank exams. At Disha Publication, we strive to bring out the best guidebooks that

students would find to be the most useful for Bank Probationary exams.

ABOUT DISHA PUBLICATION

2

(a) BPF (b) HPF(c) LPF (d) Tunned Filter

18. MOSFET is a(a) current controlled voltage source(b) voltage controlled current source(c) voltage controlled voltage source(d) current controlled current source

19. From a box containing 4 white and 6 black balls. 3 balls aretransferred to another empty box. From new box a ball isdrawn and it is black. What is the probability that out of 3balls transferred 2 are white and one black?(a) 1/4 (b) 1/5(c) 1/6 (d) 1/7

20. Consider the system described by

1

2

xx

é ùê úë û

&

& = 1

2

1 1 02 1 1

xU

xé ùé ù é ù

+ê úê ú ê ú- -ë û ë ûë û

y = [1 0] 1

2

xx

é ùê úë û

The system is(a) controllable and not observable(b) uncontrollable and observable(c) controllable and observable(d) uncontrollable and not observable

21. The magnetic vector potential A = 2 ˆ/4 z- r a Wb/m. Themagnetic flux crossing the surface f = p/2, 1 £ f £ 2m. 0 £ z £ 5m.(a) 3 Wb (b) 7.5 Wb(c) 3.75 Wb (d) 15 Wb

22. Which of the following matching is correct?

(A)1+

ss

(P)

(B) 21

( 1)+s(Q)

(C)1

( 1) 1+ +s s(R)

(D) 21

1+s(S)

(a) A-P, B-Q, C-S, D-R (b) A-Q, B-R, C-S, D-P(c) A-P, B-Q, C-R, D-S (d) A-R, B-S, C-Q, D-P

23. Three devices A, B and C have to be connected to a 8085microprocessor. Device 4 has the highest priority and deviceC has the lowest priority. In this context which of the followingis correct assignment of interrupt inputs?(a) A uses TRAP, B uses RST 5.5 and C uses RST 6.5(b) A uses RST 7.5, B uses RST 6.5 and C uses RST 5.5(c) A uses RST 5.5, B uses RST 6.5 and C uses RST 7.5(d) A uses RST 5.5, B uses RST 6.5 and C uses TRAP

24. The shift register is shown in figure is initially loaded withthe bit pattern 1010. Subsequently the shift register is clockedand with each clock pulse, the pulse gets shifted by one bitposition to right with each shift, the bit at the serial is pushedto the left most position (msb). After how many clock pulseswill the contact of the shit register become 1010 again?

(a) 3 (b) 7(c) 11 (d) 15

25. In the voltage doubler circuit shown in the figure, the switchS is closed at t = 0. Assuming diodes D1 and D2 to be ideal,load resistance to be infinite and initial capacitor voltage tobe zero, the steady voltage capacitor C1 and C2 will be

(a) VC1 = 10 V, VC2

= 5 V (b) VC1 = 10 V, VC2

= – 5 V(c) VC1

= 5 V, VC2 = 10 V (d) VC1

= 5 V, VC2 = – 10 V

QUESTIONS 26 TO 55 CARRY 2 MARKS EACH26. Consider the signal x(t), shown in fig. let h(t) denotes the

impulse response the filter-matched to x(t) with h(t) beingnon-zero only in the interval 0 to 4 sec. The slope of h(t) inthe interval 3 < t < 4 sec is __________.

3

1

2 3 4

– 1

0

x(t)

t(sec)1

27. Given Z-transform, ( )2

2

13z z4X z , z 4

z 16

-= >

-. The time

signal x(t) will be

(a) ( ) [ ]n n49 474 4 u n32 32

é ù- +ê úë û

(b) [ ]n n49 474 4 u n32 32

é ù+ê úë û

(c) ( ) [ ] [ ]n n49 474 u n 4 u n32 32

- - +

(d) [ ] ( ) [ ]nn49 474 u n 4 u n32 32

+ - -

28. A unity feedback second order control system in

characterized by ( ) ( )KG s

s Js B=

+

Where, J = moment of inertia,K = system gain,B = viscous damping coefficient.

The transient response specification which is NOT affectedby variation of system gain is the(a) peak overshoot(b) rise time(c) setting time(d) damped frequency of oscillations

29. A system has the following transfer function:

( ) ( )( )( ) ( )4 2100 s 5 s 50

G ss s 10 s 3s 10

+ +=

+ + +

The type and order of the system are respectively(a) 4 and 9 (b) 4 and 7(c) 5 and 7 (d) 7 and 5

30. The state and output equations of a system are as under:State equation

( )( )

( )( ) ( )1 1

2 2

x t x t0 1 0u t

x t x t1 2 1é ù é ùé ù é ù

= +ê ú ê úê ú ê ú- -ë û ë ûë û ë ûOutput Equation:

( ) [ ] ( )( )

1

2

x tC t 1 1

x té ù

= ê úë û

The system is(a) neither state controllable nor output controllable.(b) state controllable but not output controllable.(c) output controllable but not state controllable.(d) both state controllable and output controllable.

31. The intermediate frequency of a superheat receiver is 450KHz if it is tuned to 1200 KHz, the image frequency will be___________.

32. A discrete zero memory information source has 40 symbolsis equally likely. The minimum number of bits required tocode the source with uniform code and the entropy of thesource are respectively ___________.

33. If each stage had a gain of 10 dB, and noise figure of 10 dB,then the overall noise figure of a two-stage cascade amplifierwill be ___________.

34. A frequency hopped spread spectrum is used to transmit a4 M bit/sec data system. If the system utilizes 2000 noncontiguous channel, the processing gain is given by(a) 30 dB (b) 60 dB(c) 33 dB (d) 66 dB

35. A base band PCM system with a matched filter at receiver isimplemented with 5 V± bipolar pulse with a pulse durationof 72 m sec. If the noise PSD is 1.0 × 10–4 V2/Hz, the probabilityof error for this system is given by(a) 1.15 × 10–5 (b) 1.85 × 10–5

(c) 2.8 × 10–5 (d) 2.36 × 10–5

36. The field configuration in two different views of wavespropagating in a rectangular waveguide, as shown in thegiven figure represents the mode

Electrical Intensity

4

Magnetic Intensity

(a) TM11 (b) TE11(c) TE21 (d) TE10

37. The cross-section of a waveguide is shown in the figure. Ithas dielectric discontinuity. If the guide operate at 8 GHz inthe dominant mode, then standing wave ratio is

2.5 cm

5 cmx

y

z

m e0 0, m e0 0, 2.25

(a) – 3.911 (b) 2.468(c) 1.564 (d) 4.389

38. A half-wave diople is placed at a distance S2l

= from the

apex of a 90° corner reflector. If given a feed-point current of1A, then radiation intensity in the direction (q = 90°, f = 0°)(a) 38.2 W/sr (b) 76.4 W/sr(c) 152.8 W/sr (d) 19.8 W/sr

39. Two isotropic radiators A and B are placed along the X-axis

at the positions Y8 and

Y8

æ ö+ç ÷è ø

respectively. The elements

are fed by currents of equal amplitude with the phase of Bleading that of A by 90°. The array pattern will have maxima(a) in the direction of the +X axis(b) at an angle of 45° with respect to the + X axis(c) in the direction of + Y axis(d) in the direction – X axis

40. Two isotropic antennas are separated by a distance of twowavelength. If both the antennas are fed with currents ofequal phase and magnitude, the number of lobes in radiationpattern in the horizontal plane are(a) 2 (b) 4(c) 6 (d) 8

41. Effective inductance of the circuit across the terminalsAB shown in the figure below is _____ H.

A

B

3H

2H

2H

42. If negative logic is used the diode gate shown in thefigure below will represent

A

B

Q

Q = 8V

V = – 8V

– 8V

(a) OR gate (b) AND gate(c) NOR gate (d) NAND gate

43. If the secondary winding of the ideal transformer of thecircuit shown in the figure below has 40 turns, then formaximum power transfer to the 2-ohm resistor, the numberof turns required in the primary winding will be _____.

44. Initial contents of the 4-bit serial-in-parallel-out, right-shift-, shift-Register shown in the figure below is 0110.After three clock pulses are applied, contents of the ShiftRegister will be ______

Serial inClock

0 01 1

+

45. For the circuit shown in the figure below, the switch 'K'was closed for a long time till steady state conditionsreached. If at time t = 0, the switch 'K' is opened, thencurrent through inductor will be

K

10 V 1 H

2 W

1 µF

5

(a) 5 cos 10 t (b) 5 cos 100 t(c) 5 cos 1000 t (d) 5 cos 10000 t

46. The 6 V Zener diode shown in the figure below has zeroZener resistance and a knee current of 5 mA. The minimumvalue of R so that voltage across it does not fall below6 V is ______

10 V

50 W

+

–V

47. A second order system exhibits 100% overshoot. It’sdamping coefficient is __________.

48. Consider germanium with an acceptor concentration of Na =1015 cm–3 and a donor concentration of Nd = 0 at T = 200 K.The Fermi energy of the material will be ______.

49. What is the output voltage ‘VO’ of the R – 2R decoder laddernetwork ?

2R

2R

2R

2R

R

RGND

GND

GND

GND

– +

4 V

VO

50. The forward-path transfer function of a ufb system is

2( 2)( )

( 3)( 2 2)K sG s

s s s+=

+ + +The angle of departure from the complex poles is

51. What is the number of output bits required for an A/Dconverter to give a quantizing error less than 1%?

52. A uniformly doped silicon pnp bipolar transistor at T = 300 Kwith dopings of NE = 5 ´ 1017 cm–3, NB = 1016 cm–3 and NC= 5 ´ 1014 cm–3 is biased in the inverse-active mode. What isthe maximum B-C voltage so that the low-injection conditionappplied?

53. For the circuit shown below the value of io is __________.

iovo

2 k W

2 k W

6 k W

–

+6 A

54. The frequency of the pulse at z in the network shown infigure below is __________.

10-BitRing counter

4-Bit Parallelcounter

Mod-25Ripple Counter

4-Bit JohnsonCounter

w x y160 kHz

z

55. A minimum phase system has fourteen poles and twozeros. The shape of its highest frequency asymptote inits Bode plot is __________.

GENERAL APTITUDE (GA) SECTIONQUESTIONS 56 TO 60 CARRY 1 MARK EACH

DIRECTIONS (56-57): Pick out the most effective word/phrasesfrom the given alternatives marked (a), (b), (c) and (d) givenbelow each sentence to fill in the blank to make the sentencemeaningful and grammatically correct.

56. The government claims that ……… in the telecommunicationsindustry will mean lower prices for customers.(a) budget (b) finance(c) instalments (d) competition

57. The newly-opened restaurant at the District Centre ..............to the tastes of people from all walks of life and one is likelyto find an .............. group there.(a) appeals - archetypal (b) panders - connoisseur(c) caters - ecletic (d) inhibits - diverse

58. Which of the following pairs have the same relationship asINTEREST : OBSESSION ?(a) mood : feeling(b) weeping : sadness(c) dream : fantasy(d) plan : negation

59. Which one of the following option is the closest in meaningto word Connotes?(a) Helps (b) Cures(c) Follows (d) Implies

60. If 523

b3a2b3a5

=-+ , then the value of a : b is :

(a) 2 : 1 (b) 1 : 4(c) 1 : 2 (d) 4 : 1QUESTIONS 61 TO 65 CARRY 2 MARKS EACH

61. From Cochin to Shimla, the new culture vultures are tearingdown acres of India’s architectural treasures. Ancestralowners often fobbed off with a few hundred rupees for anexquisitely carved door or window, which fetches fifty timesthat much from foreign dealers, and yet more from the drawingroom sophisticates of Europe and the US. The reason forsuch shameless rape of the Indian architectural wealth canperhaps, not wrongly, be attributed to the unfortunate blendof activist disunity and local indifference.It can be inferred from the above passage that(a) The environment created by the meeting between

activist disunity and local difference is ideal for antiquedealers to thrive in India.

(b) Only Indians are not proud of their cultural heritageand are hungry for the foreign currency that is easilyavailable in return of artefacts.

6

(c) Most Indian families have heirlooms which can be soldat high prices to Europeans and Americans.

(d) India provides a rich market for unscrupulous antiquedealers.

62. Pipe A and B running together can fill a cistern in 6 minutes.If B takes 5 minutes more than A to fill the cistern then thetimes in which A and B will fill the cistern separately will be,respectively:(a) 15 min, 20 min (b) 15 min, 10 min(c) 10 min, 15 min (d) 25 min, 20 min

63. In a science talent examination, 50% of the candidates fail inMathematics and 50% fail in Physics. If 20% fail in both ofthese subjects, then the percentage of candidates who passin both Mathematics and Physics is :(a) 0% (b) 20%(c) 25% (d) 50%

64. An instrument manufactured by a company consists of twoparts A and B. In manufacturing part A, 9 out of 100 are likelyto be defective and in manufacturing part B, 5 out of 100 arelikely to be defective. Calculate the probability that theinstrument will not be defective :(a) 0.91 (b) 0.86(c) 0.95 (d) 0.83

65. Raj, Murari and Kishan are three typists who, workingsimultaneously can type 216 pages in four hours. In onehours Kishan can type as many pages more than Murari asMurari can type more than Raj. During a period of five hours,Kishan can type as many pages as Raj can during sevenhours. How many pages does each of them type per hour,respectively ?(a) 14, 17, 21 (b) 16, 18, 20(c) 15, 17, 21 (d) 15, 18, 21