Self Quiz

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1

General Aptitude

Q. No. 1 – 5 Carry One Mark Each

1. Choose the word that does not belong to the group.

(A) Barrack (B) Duplex (C) Gazebo (D) Imbrue

2. There is a probability that he was charged with being ______; that many who boasted

themselves of _____ and soberness, and wisdom, regarded him as acting like a madman.

(A) pronounced, precision (B) rococo, demented

(C) deranged, prudence (D) prudish, covert

3. The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the

plot @ 26.50 per metre is Rs. 5300, what is the length of the plot in metres?

4. Choose the word which is most nearly the SAME in meaning as the word given in bold as

used in the passage.

CATACLYSMIC (A) salubrious (B) acrobatic (C) alarming (D) catastrophic

5. Each question gives a sentence with a part of the sentence underlined that may contain an

error. Four alternative substitutes are given for the underlined portion. Identify the choice that

replaces the underlined part to form a logically and grammatically correct statement and mark

its number as your answer.

As these changes in the rock are greatest at the surface and diminish downward, we infer that

they have been caused by agents that were working downward in the surface.

(A) we infer that they have been caused by agents that were working downward in the

surface.

(B) we are inferring that they have caused by agents working downward from the surface.

(C) we infer so they have been caused by agents working downward on the surface.

(D) we infer that they have been caused by agents working downward from the surface.

Q. No. 6 – 10 Carry Two Mark Each

6. Two pipes A and B can fill a tank in 1 hour 12 minutes and 1 hour 30 minutes respectively.

Pipe C can empty the tank in 1 hour. Initially pipes A and B are opened and after 14 minutes

C is also opened. In how much time will the tank be full?

(A)1 hr (B) 80 min (C) 84min (D) 1 hr 32 min

7. “ 4X68Y0 “ is divisible by both 3 & 11. The non zero digits in the place of x & y are

(A) 5 & 7 (B) 7 & 5 (C) 4 & 5 (D) 5 & 4




2

8. The missing P & Q in the following series respectively are

(A) 30, 30 (B) 60, 60 (C) 30, 60 (D) 60, 120

9. The distance between two stations A and B is 600 km. One train leaves station A towards

station B at the average speed of 54 kmph. After an hour another train left station B towards

station A at the average speed of 66 km per hour. The distance from station A where the two

trains meet is________Kms.

10. Choose the option that best captures the essence of the given text.

The birth of the embellishing art must be sought in that stage of animal development when

instinct began to discover that certain attributes or adornments increased attractiveness. When

art in its human sense came into existence ideas of embellishment soon extended from the

person, with, which they had been associated, to all things with which man had to deal. The

processes of the growth of the aesthetic idea are long and obscure.

(A) Embellished art is an outcome of instinct and intellect which provoked man to think that

certain ornaments increased attractiveness. Ideas of embellishment extended from

person to the things he dealt with.

(B) With the help of instinct, humans invented embellished art which increased

attractiveness. Ideas of embellishment ranged from person to the things he dealt with.

The growth of aesthetic ideas takes a long time.

(C) Though the process of growth of aesthetic ideas takes a long time, humans discovered

their instinct and gave birth to the embellished art that could increase attractiveness in

the person to the things he dealt with.

(D) Humans made embellished art on discovery of their instinct and this art captured the

attractiveness of person and the things he dealt with. Due to this, the process of growth

of aesthetic ideas takes a long time.

Instrumentation Engineering

Q. No. 1 – 25 Carry One Mark Each

1. If f(x) is differentiable and g (x) 0 such that f(1)=2, g(1)=2, f(2)=8 and f (x) 2g (x) for

each x in [1,2] then the value of g(2) is _________.

Q

P 60

12 60 60

6 12 20 30

2 3 4 5 6




3

2. The value of AB if 2 1

A B4 0

and

4 3A B

2 6

is

(A) 2 9

0 16

(B)

2 9

0 15

(C)

2 9

0 14

(D)

2 9

0 13

3. Which of the following have lowest pressure drop and highest coefficient of discharge?

(A) Orifice (B) Venturi (C) Flow nozzle (D) Rotometer

4. Consider a signal x n 1,2,3,4,5

then even part of x n and odd part of x n are

(A)

even

odd

x n 3,3,3,3,3

x n 1, 2,0,2,1

(B)

even

odd

x n 6,6,3,6,6

x n 5, 4,0, 2, 1

(C)

even

odd

x n 3,3,3,3,3

x n 2, 1,0,1,2

(D) None of these

5. The region of convergence for x(z) of x(n) given by nx n a for all 'n '

(A) z a

(B) z a

(C) Depends on value of ‘a’ greater than 1 or less than 1.

(D) x(z) does not exist at any region in Z-plane.

6. For orifice meter, if d is diameter of orifice opening, then cross-sectional minimum area is

what percent of opening

(A) 30% (B) 45% (C) 65% (D) 60%

7. Find xV t in the circuit shown below if 1

3

SV 20cos10 t volts and 2

3

SV 20sin10 t volts

(A) 3 O70.7 cos 10 t 45 V

(B) 3 O70.7 cos 10 t 45 V

(C) 3 O70.7 sin 10 t 45 V

(D) 3 O70.7 sin 10 t 45 V

0.1mF xV

10mH

25 2SV

~ ~ 1SV




4

8. For the network shown below, find the input impedance if T-parameters of network are

given.

(A) L

L

AR B

CR D

(B) L

L

A BR

C DR

(C) L

L

AR B

CR D

(D) L

L

A BR

C DR

9. For the circuit shown below, what is the value of impedance LZ that will absorb the

maximum average power?

(A) 8 j14 (B) 8 j14 (C) 8 (D) 340

10. Which material can be used as RTD temperature measurement of above 0900 C

(A) Platinum (B) Copper (C) Nickel (D) Tungsten

11. If an optical fiber made of 2SiO having a core refractive index as 1.5 is doped with

2GeO ,

then its refractive index

(A) Increases (B) Decreases

(C) Remains same (D) Becomes very low

12. By the use of derivative control action in a process

(A) The order of the response does not change

(B) The order of the response increases by unity

(C) The order of the response increases by two

(D) The order of the response decreases by one

13. The type of feedback used in the circuit shown is

(A) Positive

(B) Negative

(C) No feed back

(D) Cannot be determined

A B

C D

inZ

LR

O1200 ~

10 j15

j10 LZ

DDV

DR

0V

1M

2M

G

inI




5

14. For the astable multivibrator shown, a square wave with 50 kHz frequency and duty cycle of

75% is obtained. Determine A BR and R

(A) 10.6k and 21.2k

(B) 21.2k and 10.6k

(C) 10.6M and 21.2M

(D) 21.2M and 10.6M

15. The redundant term present after solving the minterms

f A,B,C,D m 0,2,4,5,8,10,12,13 is

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

16. The 2’s complement representation of 8 in 4–bit digital system is

(A) 1000 (B) 0111 (C) 1111 (D) Not valid

17. The real root of the equation 7x-3cosx-1=0 upto four decimal accuracy is ________.

18. Given

0 1

x t x(t), x t A x t

2 3

Find eigen vectors.

(A) 1 1

,1 2

(B) 1 1

,1 2

(C) 1 1

,1 2

(D)

1 1,

1 2

19. The compensator

c

5 1 0.9sG s

1 0.3s

would provide a maximum phase shift of

_________degrees.

20. A unity feedback system has an open loop Transfer function

10G s

s s 2

. The steady

state error to an input 1 4t u(t) is _________.

AR

BR

C

680pF

0VCC

V

Trigger

555 Timer

Threshold

Discharge

Gnd




6

21. A single tone signal m(t) = m mA cos t undergoes double side band full carrier modulation

with carrier c cA cos t . Let the power requirement is P and bandwidth requirement be B.

If this same single tone signal undergoes single side band full carrier modulation with same

carrier, then power requirement and bandwidth requirement is

(A) More than P, less than B (B) Equal to P, less than B

(C) Less than P, less than B (D) Less than P, equal to B

22. Consider a message signal

m t 5cos100t 3cos200t

If this signal undergoes FM modulation with frequency sensitivity constant 10 Hz/volts, then

Bandwidth of the modulated signal is

(A) 100

80 Hz

(B) 200

160 Hz

(C) 100

10 34 Hz

(D) 100

20 34 Hz

23. For suppressing errors that persists for longer times, which of the following techniques are

useful?

(A) Integral square error (B) Integral absolute error

(C) Integral time absolute error (D) Both (A) and (B) are used

24. The forward resistance of the diode shown in the circuit is zero and the reverse resistance is

infinite. Assuming full scale current as 1 mA, the value of multiplier resistor for a 20V rms

sinusoidal a.c. range of voltmeter as shown in figure is ________kΩ.

25. The standardization of ac potentiometers is done by

(A) Directly using ac standard voltage sources

(B) Using dc standard sources and transfer instruments

(C) Using dc standard sources and D’Arsonval galvanometer

(D) Using ac standard sources and transfer instruments

sR Diode

mR 300

PMMC

Multiplier Resistance

m

Input V V sin t




7

Q. No. 26 – 55 Carry Two Marks Each

26. 3 students A, B, C are in a running race. A & B have the same probability of winning and

each is twice as C. The probability that B or C wins is __________.

27. A vector field is called solenoidal if its divergence is zero. Consider the vector fields

P and Q given by

2 2 3 2 2 3P(x,y,z) (2x 8xy z) i (3x y 3xy) j (4y z 2x z)k

and

2Q(x,y,z) xyz P(x,y,z) then

(A) P and Q

are both solenoidal.

(B) Both P and Q

s are not solenoidal

(C) P

is solenoidal but not Q

(D) Q

is solenoidal but not P

28. Find 1

3

1L

s s

(A) 1 cos t (B) 1-cost (C) 1+sint (D) 1-sint

29. If z x iy then the region represented by 2 z 1 z i is

(A) Interior of an ellipse

(B) Exterior of an ellipse

(C) Interior of a circle

(D) Exterior of a circle

30. The value of current 1i in the figure shown below is _________A.

31. Figure shown below depicts the power supplied by the battery in the first 24 minutes. The

average power in watts during this time is __________.

1i

25 2

11 v 10.2v 1 10

2

25A 1

100 2




8

32. Ratio of indicated pressure in ionization gauges having same ion electronI and I current but

sensitivity -1 -12torr & 8torr is __________.

33. Assume that 50% of all engineering students are good in mathematics. The probability that in

a sample of 18 engineering students, at most 8 are good in mathematics is

(A) 0.12 (B) 0.56 (C) 0.23 (D) 0.04

34. The CG amplifier shown must provide a voltage gain of 10 at an input impedance of 60 . If

DI 1mA and 0 , The value of DR is ________ .

35. Consider the circuit shown. If the hysteresis width is 6V, the relationship between 1 2R and R

is

(A) 1 2R 4R

(B) 2 1R 4R

(C) 1 2R 2R

(D) 2 1R R

36. If the circuit is used to amplify a sinusoidal input by a factor 15 and 1 1R C 10ns , The

frequency of the sinusoid is __________ Mrad / sec .

10W

8W

6W

4W

2W

5 7 10 15 17 20 24 25 t min

Power(W)

inV

satV 15V

2R

1R

0V

satV 15V

2V

DR

0V

iV

xV




9

37. In the four bit carry look ahead adder, the Ex-OR gate has a propagation delay of 10ns and

that the AND or OR gates have a propagation delay of 5ns. The sum will appear after

___________ns.

38. The address range of the memory chip for the given below arrangement is

(A) 2800H – 2BFFH (B) 3000H – 2BFFH

(C) 2800H – 2BFEH (D) 3000H – 3BFFH

39. The state diagram given below represents (the value of states is the output of flip flop and

00,10,01 represent input)

(A) D-flip-flop

(B) J-K flip-flop

(C) S-R flip-flop

(D) D-Latch

0 1

10

01

00 00

Io /m 5V

1E 2E

0O 1O 2O 3O 4O 5O 6O 7O

3E MSB

15A

14A

13A

1E 2E 3E MSB 12A

11A

10A

3 to 8

Decoder

2O

CE OE WE

RAM

1k 8

5V

RD WR

3 to 8

Decoder

0V

1R

1C

iV




10

40. Consider the expression for DFT

2N 1 j knN

n 0

x k x n . e

Let

2j

N

NW e

. The value of *

N NW W is [ *

NW is conjugate ofNW ]

(A) NI (B)

NNI (C) N

NI

2 (D) N

41. Consider a scheme shown below.

h t is impulse response of system given by h t x T t

The value at y(t) at t 2T is

(A) Zero (B) 6T

5 (C)

5T

5 (D)

4T

4

42. The open loop transfer function of a unity feedback system is given by

BG s

S 1 ST

By what factor should the amplifier gain ‘B’ be multiplied so that the damping ratio is

increased from 0.3 to 0.9?

(A) 1

5 (B)

1

6 (C)

1

9 (D)

1

10

43. 2 2

s 40G s

s s 20 s 60s 100

The angle of departure from complex pole 30 j95.5 is __________degrees.

44. Determine the gain margin and phase margin for the control system given below

x t h t

y t t T

y(kT)

2T

x t

2t

T t

X s

2

10

s 10 Y s

1

s




11

(A) o200,89.89 (B) o1,89.89

200 (C) o200,10 (D) o1

,10200

45. Match the following with the maximum pressure they can measure

(1) McLeod gauge (i) -1010 torr

(2) Pirani gauge (ii) -510 torr

(3) Knudsen gauge (iii) -810 torr

(4) Ionization gauge (iv) -910 torr

(A) 1-i 2-ii 3-iii 4-iv (B) 1-ii 2-I 3-iii 4-iv

(C) 1-iv 2-iii 3-ii 4-1 (D) 1-iii 2-ii 3-I 4-iv

46. Assertion A: Cold junction compensation is required to maintain reference junction at

constant 00 C

Reason R: Thermo couple works on see back effect

(A) A is true R true, R is correct reason of A

(B) A is true R true, R is not correct reason of A

(C) A is false R is true

(D) R is false A is true

47. Consider the message signal m(t) as shown in figure, passed through Amplitude modulation-

suppressed carrier modulation scheme and detected using envelope detector.

The output of envelope detector will be

m t

message AM SC

Envelope

Detector

y t

output

Carrier c t

0

1

2

1 4

1/2

6

m t




12

(A) (B)

(C) (D)

48. A Thermistor of range 0 00 to 150 C, have 25 100R = 10k ,R = 1k is kept at its highest

temperature range and connected across a capacitor of 12μF, initially charged with 10V . The

time taken for voltage to reach 5% of its initial is _________ms.

49. The solution function y f x for the D.E sinxdy cosx y ydx passes through , 2 .4

The magnitude of y at x4

is _______

50. For the feedback amplifier shown, Gain of the inverting amplifier A = –2000, feedback ratio

ie fe

1, h 2k, h 200.

150 Assume that input resistance of the inverting amplifier is ' '.

iV

(A) S200 V

(B) S f200 V V

(C) S f200 V V

(D) f200 V

51. A step index fiber has refractive indices of core and cladding as 1.42 and 1.40 respectively.

The pulse dispersion in the signal travelling through the fiber is ________ns/km.

52. The transfer function of a process is X(s). If the process also has a dead time of 2 sec, then the

overall transfer function of the process is

(A) 0.5se X s (B) 0.5se X s (C) 2se X s (D) 2se X s

cannot be found unless

modulation index is

not specified

4 6 2 0

0 2 4 6

0

1

2

1 4

1/2

6

CCV

CR 3k

iV

Inverting

Amp

0V

f

V

ER 1k

SV

1k




13

53. A CRT has an anode voltage of 3000V and parallel deflecting plates 3cm long and 6mm

apart. If the screen is 100 cm away from the centre of deflecting plates, then find the beam

speed and deflection factor of the tube.

(A) 32.47 610 m/s; 1.2V/mm (B) 8400m/s; 1.33V/mm

(C) 4200m/s; 3.33V/mm (D) 2100m/s; 6.66V/mm

54. Consider a system whose impulse response h t is given by

th t t. e

for all ‘t’.

The fourier transform of h(t) is

(A)

2

2

4j

1

(B)

2

2

2j

1

(C)

2

2

2j

1

(D)

2

2

4j

1

55. The current coil of a wattmeter is connected in series with an ammeter and an inductive load.

Voltmeter and voltage coil are connected in parallel across a 100Hz supply. The ammeter

reading is 5 A and voltmeter and wattmeter readings are 240 V and 23 W respectively. The

inductance of voltage circuit is 5 mH and its resistance is 1000 . If voltage drops across

ammeter and the current coil are negligible, then what is the approximate percentage error in

the wattmeter reading?

(A) 27.86% (B) 34.75% (C) 18% (D) 76.5%

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Self Quiz