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II Email: info@ IEO-2016 Partners & Sponsors: 1. Find the number of pairs (A) 0 (B 2. Choose a word that is mo (A) exonerate (B 3. Fill in the blank with mo Ratan Tata possesses the that makes him to be also (A) creativity (B 4. A certain amount becom 3125 times of the amoun (A) 9 (B 5. Choose the most appropr The number of students w (A) is (B 6. At 9 a.m. two trains start each other at 12:30 p.m average speed of the slo faster train, in kmph? (A) 45 (B 7. Machine A produces tof toffees at constant rate of minimum time required t (A) 12hrs (B II Year – Instrumentation Engineering @engineeringolympiad.in, Website: www.engineeringolymp SPACE FOR ROUGH WORK Section-I: General Ability s of positive integers (a, b) such that 6 2 a b 127 - = B) 1 (C) 2 (D) ost nearly opposite in meaning to the word Accus B) engender (C) abrogate (D) ost suitable word e ability to recognize business opportunities, and o known for philanthropy. B) composure (C) shrewdness (D) mes 5 times in 3 years at compound interest. In h nt? B) 12 (C) 15 (D) riate alternative from the options given below to c who have shown interest to join coaching ______ B) are (C) was (D) ted traveling toward each other from stations 315 m. the same day. If the average speed of the f ower train by 5kmph, which of the following rep B) 40 (C) 47.5 (D) ffees at constant rate of 9000 toffees per hour a f 7200 toffees per hour. If both machines work in to produce 100000 toffees is B) 12hrs19min (C) 12hrs24min (D) piad.in 1 of 13 7. 3 se besmirch d it is clearly this ______ benevolence how many years will it be 25 complete the sentence. ___ encouraging. were miles apart. They passed faster train exceeded the presents the speed of the 42.5 and machine B produces n alternate hours, then the 12hrs30min
13

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Page 1: II I Year – Instrumentation Engineering III Year.pdf · KFC 4 American Pizza 2 If the market-leader (in terms ... Given a matrix M 1 2 0 ... SPACE FOR ROUGH WORK R R

II

Email: [email protected]

IEO-2016

Partners & Sponsors:

1. Find the number of pairs of positive integers (a, b) such that

(A) 0 (B)

2. Choose a word that is most nearly opposite in meaning to the word

(A) exonerate (B)

3. Fill in the blank with most suitable word

Ratan Tata possesses the ability to recognize business opportunities, and it is cl

that makes him to be also known for philanthropy.

(A) creativity (B)

4. A certain amount becomes 5 times in 3 years at compound interest. In how many years will it be

3125 times of the amount?

(A) 9 (B)

5. Choose the most appropriate alternative from the options given below to complete the sentence.

The number of students who have shown interest to join coaching ________ encouraging.

(A) is (B)

6. At 9 a.m. two trains started traveling toward each other from stations 315 miles apart. They passed

each other at 12:30 p.m. the same day. If the average speed of the faster train exceeded the

average speed of the slower train by 5

faster train, in kmph?

(A) 45 (B)

7. Machine A produces toffees at constant rate of 9000 toffees per hour and machine B produces

toffees at constant rate of 7200 toffees per hour.

minimum time required to produce 100000 toffees is

(A) 12hrs (B)

III Year – Instrumentation Engineering

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SPACE FOR ROUGH WORK

Section-I: General Ability

Find the number of pairs of positive integers (a, b) such that 6 2a b 127.− =

(B) 1 (C) 2 (D)

Choose a word that is most nearly opposite in meaning to the word Accuse

(B) engender (C) abrogate (D)

blank with most suitable word

Ratan Tata possesses the ability to recognize business opportunities, and it is cl

that makes him to be also known for philanthropy.

(B) composure (C) shrewdness (D)

A certain amount becomes 5 times in 3 years at compound interest. In how many years will it be

3125 times of the amount?

(B) 12 (C) 15 (D)

Choose the most appropriate alternative from the options given below to complete the sentence.

The number of students who have shown interest to join coaching ________ encouraging.

(B) are (C) was (D)

At 9 a.m. two trains started traveling toward each other from stations 315 miles apart. They passed

each other at 12:30 p.m. the same day. If the average speed of the faster train exceeded the

average speed of the slower train by 5kmph, which of the following represents the speed of the

(B) 40 (C) 47.5 (D)

Machine A produces toffees at constant rate of 9000 toffees per hour and machine B produces

toffees at constant rate of 7200 toffees per hour. If both machines work in alternate hours, then the

minimum time required to produce 100000 toffees is

(B) 12hrs19min (C) 12hrs24min (D)

www.engineeringolympiad.in 1 of 13

a b 127.

3

Accuse

besmirch

Ratan Tata possesses the ability to recognize business opportunities, and it is clearly this ______

benevolence

A certain amount becomes 5 times in 3 years at compound interest. In how many years will it be

25

Choose the most appropriate alternative from the options given below to complete the sentence.

The number of students who have shown interest to join coaching ________ encouraging.

were

At 9 a.m. two trains started traveling toward each other from stations 315 miles apart. They passed

each other at 12:30 p.m. the same day. If the average speed of the faster train exceeded the

, which of the following represents the speed of the

42.5

Machine A produces toffees at constant rate of 9000 toffees per hour and machine B produces

If both machines work in alternate hours, then the

12hrs30min

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8. Joshua and his younger brother Jishore have the same birthday. Jishore's age now is the sam

Joshua's age was when Jishore was half as old as Joshua is now. Joshua was six years old when

Jishore was born. What is Joshua's age now?

(A) 18 (B)

9. 3 distinct numbers are chosen randomly from 401 to 800 (only natural numbe

all are divisible by 6 and 8 is

(A) 0.000053 (B)

10. The following table gives details of six types of retail chains in Hyderabad

No. of Outlets

2012

McDonald 4

Pizza hut 2

Pizza corner 6

Dominos 12

KFC 4

American

Pizza

2

If the market-leader (in terms

as it did in sales per outlet in 2013, over 2012, then its profits in 2013 would have been

(A) 150 lakhs (B)

11. Identify the choice that replaces the underlined part to form a logically and grammatically correct

statement.

Boosting world food production without gobbling up land and water will require technology to

play a larger role in the next 40 years

(A) than it did in the past 40 years

(C) than it has in the past 40 years

III Year – Instrumentation Engineering

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Joshua and his younger brother Jishore have the same birthday. Jishore's age now is the sam

Joshua's age was when Jishore was half as old as Joshua is now. Joshua was six years old when

Jishore was born. What is Joshua's age now?

(B) 24 (C) 30 (D)

3 distinct numbers are chosen randomly from 401 to 800 (only natural numbe

all are divisible by 6 and 8 is

(B) 0.00053 (C) 0.000064 (D)

The following table gives details of six types of retail chains in Hyderabad

No. of Outlets Average sales per

outlet (Lakhs)

Total profit of all

outlets (Lakhs)

2013 2012 2013 2012

5 50 55 40

3 170 180 125

6 60 70 40

10 90 120 120

5 180 175 150

2 40 30 15

leader (in terms of sales) in 2012 had experienced the same percentage increase in profits

as it did in sales per outlet in 2013, over 2012, then its profits in 2013 would have been

(B) 200 lakhs (C) 160 lakhs (D)

t replaces the underlined part to form a logically and grammatically correct

Boosting world food production without gobbling up land and water will require technology to

play a larger role in the next 40 years than it did in the past 40 years.

than it did in the past 40 years (B) than they have in the past 40 years

than it has in the past 40 years (D) than they had in the past 40 years

www.engineeringolympiad.in 2 of 13

Joshua and his younger brother Jishore have the same birthday. Jishore's age now is the same as

Joshua's age was when Jishore was half as old as Joshua is now. Joshua was six years old when

36

3 distinct numbers are chosen randomly from 401 to 800 (only natural numbers). Probability that

0.00064

The following table gives details of six types of retail chains in Hyderabad

Total profit of all

outlets (Lakhs)

2013

60

200

50

180

160

15

of sales) in 2012 had experienced the same percentage increase in profits

as it did in sales per outlet in 2013, over 2012, then its profits in 2013 would have been

180 lakhs

t replaces the underlined part to form a logically and grammatically correct

Boosting world food production without gobbling up land and water will require technology to

than they have in the past 40 years

than they had in the past 40 years

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12. Choose a pair that has most similar relationship to the given pair

Extravagance : Spartan

(A) Nature: Ambiguous

(C) Speech: Taciturn

13. A, B & C enter into a partnership in the ratio of

by 50%. If total profit at the end of one yea

(A) 6000 (B)

14. In State X, the sales tax on FMCG is equal to 10 percent of the amount of the purchase price

above 100/-. In State Y, the sales tax on FMCG is equal to 8 percent of

For what purchase price would the sales tax in both states be equal?

(A) 180/- (B)

15. Conventionally it is preferred to have decision making that is than intuitively done. However, a

recent study found that senior managers used intuition significantly more than did most mid

managers. This confirms the alternative view that intuition is actually more effective than careful,

methodical reasoning.

The conclusion above is based on which of

(A) Methodical, step-by-

decisions.

(B) Senior managers have the ability to use either intuitive reasoning or deductive, methodical

reasoning in making decisions.

(C) The decisions that are made by mid

methodical reasoning as by using intuitive reasoning.

(D) Senior managers are more effective at decision making than are midlevel managers.

16. 50 people attended an exhibition. Out of them, 5 did not buy any book, 20 bought 1 book each, 15

bought 2 books each, and the rest bought at least 3 books. If the average number of books bought per

person was 2, what is the maximum number of books that

(A) 13 (B)

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Choose a pair that has most similar relationship to the given pair

(B) Despair: Hopeless

(D) Peason: Credible

A, B & C enter into a partnership in the ratio of7 4 6

: :2 3 5

. After 4 months, A increases his share

by 50%. If total profit at the end of one year be Rs.21,600, then B’s share in the profit is

(B) 4000 (C) 8000 (D)

In State X, the sales tax on FMCG is equal to 10 percent of the amount of the purchase price

. In State Y, the sales tax on FMCG is equal to 8 percent of the entire purchase price.

For what purchase price would the sales tax in both states be equal?

(B) 200/- (C) 400/- (D)

Conventionally it is preferred to have decision making that is than intuitively done. However, a

tudy found that senior managers used intuition significantly more than did most mid

managers. This confirms the alternative view that intuition is actually more effective than careful,

The conclusion above is based on which of the following assumptions?

-step reasoning is inappropriate for making many real

Senior managers have the ability to use either intuitive reasoning or deductive, methodical

decisions.

The decisions that are made by mid-level and entry-level managers can be made as easily by using

methodical reasoning as by using intuitive reasoning.

Senior managers are more effective at decision making than are midlevel managers.

50 people attended an exhibition. Out of them, 5 did not buy any book, 20 bought 1 book each, 15

bought 2 books each, and the rest bought at least 3 books. If the average number of books bought per

person was 2, what is the maximum number of books that any single person could have bought?

(B) 15 (C) 18 (D)

www.engineeringolympiad.in 3 of 13

. After 4 months, A increases his share

r be Rs.21,600, then B’s share in the profit is

9000

In State X, the sales tax on FMCG is equal to 10 percent of the amount of the purchase price

the entire purchase price.

500/-

Conventionally it is preferred to have decision making that is than intuitively done. However, a

tudy found that senior managers used intuition significantly more than did most mid-level

managers. This confirms the alternative view that intuition is actually more effective than careful,

step reasoning is inappropriate for making many real-life managerial

Senior managers have the ability to use either intuitive reasoning or deductive, methodical

level managers can be made as easily by using

Senior managers are more effective at decision making than are midlevel managers.

50 people attended an exhibition. Out of them, 5 did not buy any book, 20 bought 1 book each, 15

bought 2 books each, and the rest bought at least 3 books. If the average number of books bought per

any single person could have bought?

23

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17. Choose the grammatically incorrect sentence.

(A) The house needs to be painted soon

(B) We urge that he leave now

(C) We have watched him on TV, haven’t we?

(D) Amir decided to buy in the morning a new car, but in the afternoon, he changed his mind

18. Construction of the Roman Colosseum,

began in A.D.69, during the reign of Vespasian

Titus, who opened the Colosseum with a one

games, and spectacles.

(A) which was officially known as the Flavian Amphitheater, began in A.D. 69, during the reign

of Vespasian,

(B) officially known as the Flavian Amphitheater, begun in A.D. 69, during the reign of

Ve-spasian, and

(C) which was officially known as the Flavian Amphitheater, began in A.D. 69, during the reign

of Vespasian, and

(D) officially known as the Flavian Amphi

Vespasian it

19. Find out the odd one.

(A) People pray to God during adversity

(B) Rohini wrung her hands when the train was left

(C) Not everyone bats a hundred in life

(D) One should not succumb to pressure from peers

20. They panicked and........

(A) flew for their lives

(C) fled for their lives

III Year – Instrumentation Engineering

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Choose the grammatically incorrect sentence.

The house needs to be painted soon

We urge that he leave now

We have watched him on TV, haven’t we?

to buy in the morning a new car, but in the afternoon, he changed his mind

Construction of the Roman Colosseum, which was officially known as the Flavian Amphitheater,

began in A.D.69, during the reign of Vespasian, was completed a decade later,

Titus, who opened the Colosseum with a one-hundred-day cycle of religious pageants, gladiatorial

which was officially known as the Flavian Amphitheater, began in A.D. 69, during the reign

fficially known as the Flavian Amphitheater, begun in A.D. 69, during the reign of

which was officially known as the Flavian Amphitheater, began in A.D. 69, during the reign

officially known as the Flavian Amphitheater and begun in A.D. 69, during the

People pray to God during adversity

Rohini wrung her hands when the train was left

Not everyone bats a hundred in life

One should not succumb to pressure from peers

(B) flowed for their lives

(D) fleeing for their lives

www.engineeringolympiad.in 4 of 13

to buy in the morning a new car, but in the afternoon, he changed his mind

which was officially known as the Flavian Amphitheater,

, was completed a decade later, during the reign of

day cycle of religious pageants, gladiatorial

which was officially known as the Flavian Amphitheater, began in A.D. 69, during the reign

fficially known as the Flavian Amphitheater, begun in A.D. 69, during the reign of

which was officially known as the Flavian Amphitheater, began in A.D. 69, during the reign

theater and begun in A.D. 69, during the reign of

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21. One hundred identical coins, each with pr

0<p<1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51

coins, then the value of p is

(A) 1

2 (B)

22. A thermistor has current

for applied voltage of 50 volts as shown in

figure. Its approximate characteristics when its

applied voltage increased to 60V is represented

by

(A) Curve A (B)

(C) Can’t say (D)

23. The h21 parameter of the two port network shown in the figure is

(A) 1

(B) -1

(C) 2

(D) -2

24. Consider the following statements in respect of the

Wien-bridge oscillator shown in the figure below.

1. For R=1 Kilo Ohm C F, f=1KHz

2. For R=3 Kilo Ohm C F, f=3KHz

Which of the statement given above is /are correct?

(A) 1 only (B)

(C) 1 and 2 (D)

III Year – Instrumentation Engineering

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Section-II: Technical

One hundred identical coins, each with probability p of showing up heads are tossed once. If

0<p<1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51

coins, then the value of p is

(B) 49

101 (C)

50

101 (D)

current-time characteristics

for applied voltage of 50 volts as shown in

figure. Its approximate characteristics when its

applied voltage increased to 60V is represented

(B) Curve B

(D) Both A and B

f the two port network shown in the figure is

Consider the following statements in respect of the

bridge oscillator shown in the figure below.

1C F, f=1KHz

2

= µ

π 1

C F, f=3KHz18

= µ

π

Which of the statement given above is /are correct?

(B) 2 only

(D) neither 1 nor 2

10Ω 20Ω

10Ω22i

+

+

1V 2V

1i 2i

C

R

C R

Current

(mA)

www.engineeringolympiad.in 5 of 13

obability p of showing up heads are tossed once. If

0<p<1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51

51

101

-

+

+

-

V0

R2 R1

curve ' A '

E 50 V=

curve 'B '

Time

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25. Evaluate ( )tan 2x

x4

lim tan xπ

(A) 2/e (B)

26. When X an Y inputs are driven with sinusoidal alternating voltages, the

following Lissajous pattern is displayed on the screen of oscilloscope. The

phase difference between the inputs is __________.

(A) 50o (B)

(C) 90o (D)

27. In the circuit shown below, what is the voltage

(A) 11

dVV

dt+ (B)

(C) 11

dVRCV

dt+ (D)

28.

1 6 1

Given a matrix M 1 2 0

0 0 3

=

(A) 1 (B)

29. For the circuit shown

cross over frequency of the amplifier is

Lf 20 Hz= . The transistor parameters are

0r 2k and 150π = β = .The value of C

(A) 0.8 Fµ

(B) 0.28 Fµ

(C) 0.6 Fµ

(D) 1 Fµ

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R R

C C

+

R R

C C( )V t

a

tan 2x

(B) e (C) 1/e (D)

When X an Y inputs are driven with sinusoidal alternating voltages, the

following Lissajous pattern is displayed on the screen of oscilloscope. The

hase difference between the inputs is __________.

(B) 60o

(D) 20o

In the circuit shown below, what is the voltage ( )abV t ?

(B) V1

(D) 11

dVRC V

dt+

1 6 1

Given a matrix M 1 2 0

0 0 3

. The largest eigen value is

(B) 2 (C) 3 (D)

For the circuit shown below, the lower

cross over frequency of the amplifier is

. The transistor parameters are

.The value of CB is

CCV

2R

R1R

BC

+

0.3k

Sv

www.engineeringolympiad.in 6 of 13

R

C

R

C ( )1V t

a

b

+

e/2

When X an Y inputs are driven with sinusoidal alternating voltages, the

following Lissajous pattern is displayed on the screen of oscilloscope. The

4

1.5k

0.4kER

1 2R ||R 50k=

1

3

0.766

1

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30. For the circuit shown below, the ON time to OFF

time ratio for the output pulse is equal to

(A) 1.5

(B) 2.5

(C) 3.5

(D) 4.5

31. Match List I with List II

List I (Type of Feedback)

P. Voltage series

Q. Voltage shunt

R. Current series

S. Current shunt

(A) P-1 Q-4, R-3 S-2

(C) P-3, Q-4, R-1,S-2

32. A disc mounted on the shaft of a machine has 24 pattern points. The number of flashes projected

on the disc by a stroboscope is 9000 in a minute. If the disc appears to move forward in the

direction of rotation at 10rpm, then speed of the machine is

(A) 295 rpm (B)

33. In the above full adder circuit, evaluate the correct operation performed

by it.

(A) If C=0, the resultant operation is subtraction

(B) Independent of ‘C’, X always gives difference bit.

(C) If C=1, the resultant operation is subtraction

(D) None of these

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For the circuit shown below, the ON time to OFF

time ratio for the output pulse is equal to

Match List I with List II

List I (Type of Feedback) List II (Effect on Rin and Rout)

1. Rin increases and Rout decreases

2. Both decrease

3. Both increase

4 Rin decreases and Rout increases

(B) P-3, Q-2, R-1, S-4

(D) P-1, Q-2, R-3, S-4

A disc mounted on the shaft of a machine has 24 pattern points. The number of flashes projected

on the disc by a stroboscope is 9000 in a minute. If the disc appears to move forward in the

direction of rotation at 10rpm, then speed of the machine is

(B) 385 rpm (C) 410 rpm (D)

In the above full adder circuit, evaluate the correct operation performed

If C=0, the resultant operation is subtraction

Independent of ‘C’, X always gives difference bit.

esultant operation is subtraction

0.01 Fµ 2

7

6

28 k

56 k

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A disc mounted on the shaft of a machine has 24 pattern points. The number of flashes projected

on the disc by a stroboscope is 9000 in a minute. If the disc appears to move forward in the

580 rpm

F A

B A

C

X Y

555

timer

4 8

3 Output

0.01 Fµ

CCV

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34. The variation of resistance, R ohm, of an aluminum conductor with temperature

dRR, where

d= α α

θ is temperature coefficient of resistance of aluminum.

o

Given that at 0 C, R 24= Ω

(A) 29Ω (B)

35. After an experiment the following are the values measured by a student with a stop watch. (The

experiment can be repeated again & again: Assumption)

TRIAL NO 1

Measured 3.9

Values (Sec)

How can we express his measured value?

(A) 3.5 0.2 secs± (B)

36. A Mcleod gauge has volume of

measuring capillary as 5mm. If the reading of the measuring capillary is 25mm, then the pressure

indicated is

(A) 153.2 mµ (B)

37. The ( )i o+ in the following network is

(A) 3.33A (B)

(C) 6.89A (D)

38. The bridge shown is used for measurement of low resistance. The bridge

uses standard resistance of 100.05µ

100.42 andµΩ 150 , 100.31 and 150Ω Ω Ω

mismatch error exists between the ratios of inner and outer arm resistances.

The unknown resistance R

(A) 150.13 µΩ

(C) 450µΩ

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The variation of resistance, R ohm, of an aluminum conductor with temperature

is temperature coefficient of resistance of aluminum.

Given that at 0 C, R 24= Ω and 4 o

38 10 / C−α = ×

then resistance at o50 will be

(B) 39Ω (C) 19Ω (D)

After an experiment the following are the values measured by a student with a stop watch. (The

experiment can be repeated again & again: Assumption)

1 2 3 4 5

3.9 3.5 3.7 3.4 3.5

How can we express his measured value?

(B) 3.4 0.1secs± (C) 3.6 0.1secs± (D)

A Mcleod gauge has volume of bulb and the measuring capillary as 80x10

measuring capillary as 5mm. If the reading of the measuring capillary is 25mm, then the pressure

(B) 141.8 mµ (C) 176.2 mµ (D)

in the following network is

(B) 4.53A

(D) 5.73A

The bridge shown is used for measurement of low resistance. The bridge

standard resistance of 100.05µΩ. The inner, outer arms ratio is

150 , 100.31 and 150Ω Ω Ω respectively. Due to this

mismatch error exists between the ratios of inner and outer arm resistances.

The unknown resistance Rx when Ry=800 µΩ is ________.

(B) 250.9 µΩ

(D) 224 µΩ

i

1Ω 1Η

2H

+−

t 0=

10V

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The variation of resistance, R ohm, of an aluminum conductor with temperature oCθ is given by

will be

After an experiment the following are the values measured by a student with a stop watch. (The

3.6 0.2 secs±

bulb and the measuring capillary as 80x10-6

m3 with diameter of

measuring capillary as 5mm. If the reading of the measuring capillary is 25mm, then the pressure

192.6 mµ

The bridge shown is used for measurement of low resistance. The bridge

. The inner, outer arms ratio is

respectively. Due to this

mismatch error exists between the ratios of inner and outer arm resistances.

G

2R1R

3R xR1 2

3ab

yR

E

−+

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39. It is claimed that the following circuit may be operated as a logic gate. What is the logic operation

performed by the circuit? Assume that MOS devices are acting like ideal switches.

(A) Y A NAND B=

(B) Y A OR B=

(C) Y A XOR B=

(D) Y A XNOR B=

40. A piezoelectric crystal of 1m

in a closed vessel. If maximum output voltage developed by crystal is 100V, then maximum

pressure that can be measured with crystal is

(A) 0.36 MN/m2 (B)

41. Consider the system of equations

parameter ‘ λ ’ such that the system

(A) -3.5 (B)

42. The driving point impedance of the network shown in figure is given by

values of the components are

(A) R 3 , L=1H, C=2F= Ω

(C) R 3 , L=0.5H, C=4F= Ω

5mm

A

A

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It is claimed that the following circuit may be operated as a logic gate. What is the logic operation

performed by the circuit? Assume that MOS devices are acting like ideal switches.

A piezoelectric crystal of 1m2 area is mounted in direction A-A to measure pressure of explosion

in a closed vessel. If maximum output voltage developed by crystal is 100V, then maximum

pressure that can be measured with crystal is

(B) 0.97 MN/m2 (C) 2.68 MN/m2 (D)

Consider the system of equations3x y z 1; 2x+y+z=2; x+2y- z=-1− + λ = λsuch that the system fail to have unique solution is ___________

(B) 3.5 (C) 1.5 (D)

The driving point impedance of the network shown in figure is given by

values of the components are

R 3 , L=1H, C=2F (B) R 3 , L=2H, C=1F= Ω

R 3 , L=0.5H, C=4F (D) R 3 , L=4H, C=0.5F= Ω

A

A

(Voltage sensitivity of crystal 0.055 V m= −

Y

A

B

www.engineeringolympiad.in 9 of 13

It is claimed that the following circuit may be operated as a logic gate. What is the logic operation

performed by the circuit? Assume that MOS devices are acting like ideal switches.

A to measure pressure of explosion

in a closed vessel. If maximum output voltage developed by crystal is 100V, then maximum

1.38 MN/m2

3x y z 1; 2x+y+z=2; x+2y- z=-1− + λ = λ , the value of the

solution is ___________.

-1.5

The driving point impedance of the network shown in figure is given by ( )2

s 3Z s

2s 6s 1

+=

+ +. The

R 3 , L=4H, C=0.5F

)Voltage sensitivity of crystal 0.055 V m / N= −

C

R

L( )Z s

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43. A two bit comparator with a set of timing diagrams are given below. Identify the correct

timing diagram.

(A)

(C)

44. Figure below shows a section of a Programmable

Logic Device (PLD). The Boolean expressio

implemented in the PLD is

(A) AC AB ABC+ +

(B) AC AB ABC+ +

(C) AB AC ABC+ +

(D) AB AC ABC+ +

Comp

0x

1x

0y

1y

01 2

01 2

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A two bit comparator with a set of timing diagrams are given below. Identify the correct

(B)

(D)

Figure below shows a section of a Programmable

Logic Device (PLD). The Boolean expression

implemented in the PLD is

Comp(X Y)=

3 4

B

A

C

3 4

0 1

2

0x

1x

0y

1y

10 2

0 1 2 3

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A two bit comparator with a set of timing diagrams are given below. Identify the correct output

Y

3 4

3 4

4

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45. A voltage and current transformers of nominal ratio 50/1 and 10/1 respectively has a wattmeter

connected to it. The reading of it is 500W indicated on a

of pressure coil of wattmeter are

frequency is 50 Hz. The P.T and C.T ratio errors and phase differences are

0.75% and 120 min respectively. The true value o

(A) 556kW (B)

46. In a pressure transducer (as shown in figure), strain gauge of resistance

strain of (10+5sin10t)10-

(Gauge factor of strain gauge is 2)

(A) 42.43 Vµ

(B) 32.43 Vµ

(C) 52.43 Vµ

(D) 2.43 Vµ

47. A 270o circular POT of length 10 cm and sensitivity

displacement of a rotating blade. If blade rotates in steps of 1cm/s from position ‘P1’, then the

output e0 at 3 seconds is

(A) 1.5 V

(B) 5 V

(C) 3.5 V

(D) zero

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A voltage and current transformers of nominal ratio 50/1 and 10/1 respectively has a wattmeter

connected to it. The reading of it is 500W indicated on a 50V / 5A. The resistance and inductance

of pressure coil of wattmeter are 250 and 15mHΩ . The load phase angle is

frequency is 50 Hz. The P.T and C.T ratio errors and phase differences are

0.75% and 120 min respectively. The true value of the power measured is _________.

(B) 678kW (C) 986kW

In a pressure transducer (as shown in figure), strain gauge of resistance -6. The RMS value of output voltage V0 is ___________.

(Gauge factor of strain gauge is 2)

circular POT of length 10 cm and sensitivity 1 / deg reeΩ is used for measuring angular

displacement of a rotating blade. If blade rotates in steps of 1cm/s from position ‘P1’, then the

Strain

gauge

R R

R

24 V

oe5V

P1

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A voltage and current transformers of nominal ratio 50/1 and 10/1 respectively has a wattmeter

The resistance and inductance

. The load phase angle is 45° lagging and

frequency is 50 Hz. The P.T and C.T ratio errors and phase differences are 1%+ and 40 min and -

f the power measured is _________.

(D) 239kW

In a pressure transducer (as shown in figure), strain gauge of resistance 100Ω is subjected to

is ___________.

is used for measuring angular

displacement of a rotating blade. If blade rotates in steps of 1cm/s from position ‘P1’, then the

C

oV

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48. A divide by N-counter is designed using JK flip

A, B, C as 000)

The output of the above counter is given to the circuit shown below, which consists of 3

line decoder and LEDs.

The LEDs that will never glow are

(A) 0 7D and D (B)

49. In the circuit shown, Vo will be zero at the frequency of

(A) 1

HzRC

(B)

(C) 1

Hz2 RCπ

(D)

J

K

CLK

3x8 Decoder

0O

1O

2O

3O

4O

5O

6O

7O

A

B

C

0A1A2A

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counter is designed using JK flip-flops as shown in the figure. (Assuming initially

The output of the above counter is given to the circuit shown below, which consists of 3

never glow are

(B) 0 1D and D (C)

2 5D and D (D)

will be zero at the frequency of

(B) 2

HzRC

π

(D) RC

Hz2π

J

K

Q

Q

J

K

Q

Q

J

K

Q

Q

A B

5V+

3x8 Decoder0D 1D 2D 3D 4D 5D D

4

6

R

R

2

V

+V

www.engineeringolympiad.in 12 of 13

flops as shown in the figure. (Assuming initially

The output of the above counter is given to the circuit shown below, which consists of 3-line to 8-

5 7D and D

Q

Q

C

6D 7D

R

C

CR

oV

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50. When an input voltage V

practical with forward resistance

(A)

(C)

12V

12V

0V

12V

2.3V0V

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When an input voltage Vi of the form shown, is applied to the circuit given below with the diode

practical with forward resistance fR =0 , the output voltage Vo is of the form

(B)

(D)

12V−

R

oViV

3V

D

t

12V

3V

t

0V

12V−

www.engineeringolympiad.in 13 of 13

of the form shown, is applied to the circuit given below with the diode

is of the form

t

t