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IV Year – Electronics & Communication Engineering Section-I: General Ability 1.

For or all positive numbers x and y which of following functions is f(x f(x-y) y) = f(x) - f(y) (A) f(A) = a2 (B) f(A)= a+1 (C) f ( A ) = a (D) f(A)= -3a

2.

Find the wrong number in the series 2, 6, 29, 146, 877, 6140 (A) 6140 (B) 2 (C) 29

(D) 6

3.

In the sentence given below, pick up one option, which is most nearly same in meaning as the word printed in bold, and can replace it without altering meaning meaning of sentence. Being a member of this club, he has certain rights. (A) status (B) truth (C) virtues (D) privileges

4.

In the following question, choose the word which is the exact OPPOSITE of the given word. NIGGARDLY (A) Frugal (B) Thrifty (C) Stingy (D) Generous

5.

Pick out the most effective word from the given words to fill in the blank to make the sentence meaningfully complete. If negotiations are to prove fruitful, there must not only be sincerity on each side, but there must also be ........... in the sincerity of the other side. (A) Faith (B) Belief (C) Substance (D) Certainty

6.

B and C working together can do a job in 24 days. After working together for 15 days, B left. C took 15 more days to do the remaining job. If B works alone, in how many days can he finish the job? (A) 30 (B) 40 (C) 48 (D) 60

7.

A dishonest dealer marks up the price of his goods by 20% and gives a discount of 10% to the customer. Besides, he also cheats both his supplier and his buyer by 100 grams while wh buying and selling 1 kilogram. Find the percentage profit earned by the shopkeeper. (A) 30 (B) 35 (C) 32 (D) 29

8.

In a group of 6 boys and 4 girls, 4 children are to be selected. In how many different ways they can be selected such that atleast 2 boys b are there? (A) 100 (B) 205 (C) 185 (D) 211 SPACE FOR ROUGH WORK

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IV Year – Electronics & Communication Engineering 9.

80 percent of the employees in a company are male. 10 percent of the employees in the company are currently in Tamilnadu. Of the employees in Tamilnadu, 40 percent are in Chennai, 40 percent are in Coimbatore, and 20 percent are in Trichy. Of the employees at Chennai, 75 percent are male. What percent of the company's female employees are currently in Chennai? (A) 18 percent (B) 15 percent (C) 21 percent (D) 6 percent

10.

Average traffic at Paradise Paradis X roads during Monday-Thursday Thursday is 21 vehicles per minute. The respective value during Thursday Thursday-Sunday Sunday is 28 vehicles per min. Which of the following values are possible for average traffic for all days (in vehicles per minute)? (i) 16 (ii) 20 (iii) 28 (A) Only ii (B) ii and iii (C) i and iii (D) i, ii, and iii

11.

You win some and loose some. You must enjoy winning. But do not let it go to the head. The moment it does, you are already on your way to failure. If you encounter a failure, don’t beat bea yourself for it or anyone else for that matter. Accept it, look at your own share in the problem, learn from it and move on. Choose the summary: (A) Where there is a will there is a way (B) Failure is the stepping stone of success (C) Winners don’t do different things, but do things differently. (D) When you lose, don’t n’t lose the lesson

12.

Janak is participating in a 180 km bike race. Janak rides at an average speed of 30 km per hour for the first one-third third distance, 20 km per hour for fo the next one-third third distance, and 10 km per hour for the final 60 km. What was Janak’s average speed for the race? (A) 15 km/h (B) 16.67 km/h (C) 22.5 km/h (D) 16.36 km/h

13.

In question below, there is a sentence of which some parts has been jumbled up. Rearrange these parts, which are labeled P, Q, R, and S to produce the correct sentence. Choose the proper sequence. It would (P) appear from his statement (Q) about the policy of management (R) in dealing with the strike (S) that he was quite in the dark da The proper sequence should be: (A) RPSQ (B) PSQR (C) RQPS (D) PRQS SPACE FOR ROUGH WORK

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IV Year – Electronics & Communication Engineering 14.

There are 65 questions in a 3 hr examination. Among these questions there are 15 general aptitude problems. It is suggested that two two-thirds thirds as much time be spent on each general aptitude problem as for each other question. How many minutes should be spent on general aptitude problems? (A) 30 (B) 45 (C) 50 (D) 60

15.

According to the Sci-True True Lab, the new micro micro-organism organism is discovered in certain lakes was identified once as spherical, spherical, once as cubical, and once as spiral, but has never been seen to assume the same shape twice. Which of the following is implied in the above statement? (A) The new micro-organism organism can be expected eventually to assume every possible shape. (B) The new micro-organism organism is different from all organisms previously known. (C) The Sci-True True Lab is not a reliable source of information about the new micro-organism. micro (D) The new micro-organism organism can be identified on the basis of some characteristic other than shape. sh

16.

Choose the best inference from the given statement Statement:: If it does not rain throughout this month, most farmers will be in trouble this year. (A) Most of the farmers are generally dependent on rains. (B) There is no water in the ponds pond (C) The monsoon Winds are late this year. (D) Wheat and paddy require water for cultivation.

17.

Choose a pair that has most similar relationship to the given pair Interested: Zealous (A) Wild: Bizarre (B) Decent: Contemporary (C) Hateful: Nauseous (D) Hungry: Ravenous

18.

In a survey of unemployed, three-fifths three fifths admitted to being at least somewhat dishonest. However, the survey may underestimate the proportion of respondents who are dishonest, because________. (A) Some dishonest respondents taking the survey might have claimed to be honest on the survey (B) Some generally honest respondents taking the survey might have claimed on the survey to be dishonest (C) Some respondents who claimed on the survey to be at least a little dishonest may be very dishonest (D) Some respondents who claimed on the survey to be dishonest may have been answering honestly SPACE FOR ROUGH WORK

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IV Year – Electronics & Communication Engineering 19.

Identify the choice that replaces the underlined part to form a logically and grammatically correct statement. The greatest obstacle to economic and environmental improvements in developing countries is its mammoth foreign debt. (A) developing countries is its (B) the developing countries is its (C) developing countries is their (D) the developing countries is their

20.

Data of different states regarding population of states in the year 1998: Total population of given states = 32, 76,000 U.P 15%

T.N 9%

Bihar 11%

A.P

Goa

25%

12% Delhi 8%

M.P 20%

Following table shows that sex & literacy wise population ratio: States Andhra Pradesh Madhya Pradesh Delhi Goa Bihar Uttar Pradesh Tamil Nadu

Sex Literacy Male Female Literate Illiterate 5 3 2 7 3 1 1 4 2 3 2 1 3 5 3 2 3 4 4 1 3 2 7 2 3 4 9 4

What will be the total percentage of total number of males in U.P, M.P & Goa together to the total population of all given states ? (A) 28.5% (B) 18.5% (C) 23% (D) 32% SPACE FOR ROUGH WORK

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IV Year – Electronics & Communication Engineering Section-II: Technical 21.

The voltage across the last resistor is V. All the resistors are unity. Then VS is (A) 13V 1Ω

1Ω

1Ω

(B) 19V VS

(C) 25V

+ −

1Ω

1Ω

1Ω

+ V −

(D) 8V 22.

Let p be the probability that a man aged y will get into an accident in a year. What is the probability that a man among ‘n’ men of all aged ‘y’ will get into accident first?

1 n (A) 1 − (1 − p )    n 23.

1 n (B) 1 − (1 + p )    n

(C)

(1 − p )

n n (D) n 1 − (1 − p )   

n

Analog switch of sample and hold circuit as shown in figure has ON resistance of 100 Ω. Output amplifier has input bias current of 1µA. Then the discharging rate of capacitor ‘C’ when switch is open is (A) 0.01V / sec

Input Buffer

output amplifier S

(B) 0.1V / sec C = 100 µF

(C) 0.1mV / sec

switch

(D) None 24.

An inductor of inductance 0.25 H & resistance 50 Ω resonates with a series capacitor at 1 kHz. The magnitude of the voltage across the capacitor at 1 kHz is (Assuming that the supply is 5 V) (A) 157.1 V (B) 179.2 V (C) 200 V (D) 31.4 V

SPACE FOR ROUGH WORK

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IV Year – Electronics & Communication Engineering 25.

In a class – B push pull operation, the D.C. power drawn is 28W. 28W. The power delivered by the amplifier to the load at its maximum power conversion efficiency is (A) 40W (B) 19W (C) 32W (D) 22W

26.

In the following Op-Amp, Amp, when only V1 of 1 V is applied and V2 is grounded then output is -8 V and when only V2 of 2 V is applied and V1 is kept at 0 V, output is 20 V then CMRR of op-amp op is approximately (A) 13 dB (C) 43 dB

27.

(B) 20 dB (D) 68 dB

V1



V2

+

V0

f(t)

Given a function f(t) as shown below.

1

0

−1

+1

E

The above signal is fed as input to (all inputs, outputs and system function given in frequency domain)

F( jω)

ω2 4

The magnitude of output at ω = (A) 1

28.

(B) 0

2

( )

output

π rad/sec is 2 (C) 0.08

(D) 0.64

dy = 3(1 + x ) − y and y = 4 when x = 1. Using Runga-Kutta Kutta fourth order method, the dx approximate value of y when x = 1.2 will be (A) 0.419 (B) 0.519 (C) 0.613 (D) 0.318

Given:

SPACE FOR ROUGH WORK

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IV Year – Electronics & Communication Engineering 29.

A system is having unit step response as y ( t ) = e− t u(t) . If the same system is cascaded with itself, then the group delay at ω = 3 rad / sec is ________. (A) 0.5 sec

30.

(B) 1 sec

(C) 1.5 sec

(D) 2 sec

Consider the system shown in the figure X  f 

5

4

3

−3 −1 0 1

H (f )

1Ω

2

5 3

+

1

3

−2 −1 0 1

f

f

2

g (t )

1F



y (t )

The D.C component in signal y(t) is (A) 0.9341

31.

The Transfer function

(A)

(B)

(C)

(D)

(B) 0 Y (s) X (s)

(C) 12

(D) 8

of the LTI system shown below is

G1 ( s ) G 2 ( s ) + 1 1 − G1 ( s ) G 2 ( s )

+

G 2 ( s ) 1 + G1 ( s )  1 − G 2 ( s ) G1 ( s )

+ X ( s)

G1 ( s ) 1 + G1 ( s )  1 − G1 ( s ) + G 2 ( s ) G 2 ( s ) (1 + G1 ( s ) )

G1 ( s )

+ +

G2 ( s )

Y ( s)

1 + G1 ( s ) + G 2 ( s )

SPACE FOR ROUGH WORK

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IV Year – Electronics & Communication Engineering 32.

A source has 256 symbols which are equiprobable and their successive transmissions are independent. If an AWGN channel with a bandwidth of 4 kHz and SNR of 31 is used for transmission of symbols, then the maximum rate (in symbols / sec) at which the transmission transm can be made with an arbitrary low probability error is (A) 1500 (B) 2000 (C) 2500 (D) 3000

33.

Solution for

∫ (a x 2

2

+ b 2 y2 + c2 z 2 )

−1

2

dS where S is surface of ellipsoid ax 2 + by 2 + cz 2 = 1 is

S

(A)

34.



(B)

abc



(C)

3 abc

4π abc 3

(D) None of these

What is the effect of β on signal to noise ratio at the output for the signal flow diagram shown below? Vn

+

A1

+

Vs

(A) Increases with increase in β

A2

+ +

β

V0

(B) Decreases with increase in β

(C) Independent of β 35.

1 V0

(D) Increase or decreases depending upon sign of β

A3 A 2 A1A 0 4

B 3B 2 B 1 , B 0

Quad ruple Two − to − one Line MU X

Select

B2

4 ×1 M UX

S1

S0

In the above digital circuit, to get an output bit as ‘B2’ what are the values of select and S1S0? (A) Select = 0;S1S0 = 10 (B) Select = 1;S1S0 = 10 (C) Select = 1; S1S0 = 01

(D) Select = 0; S1S0 = 01 SPACE FOR ROUGH WORK

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IV Year – Electronics & Communication Engineering 36.

Consider the differential equation, Find the P.I. of the above equation. cos nx xsin nx logsecnx + (A) 2 n n cosnx xsin nx logsecnx (C) n2 n

d2 y + n 2 y = sec nx [ n ≠ 0] dx 2

cos nx xsin nx log cos nx + 2 n n cos nx xsin nx log cos nx (D) n2 n (B)

37.

A PCM system uses a uniform quantizer which has a range –V V to +V and it is followed by a 77-bit binary encoder. A zero mean signal applied to the quantizer extends over its entire range and has uniform probability density. The ratio of the signal power to tthe he quantisation noise power at the output of the quantizer is (A) 42 dB (B) 38 dB (C) 28 dB (D) 18 dB

38.

For the figure shown below, r ( t ) = sin ωt. and the steady state response C(t) will exhibit a

response peak at a frequency of ___________ __________ . (A) 3.5 rad/sec r (t) + (B) 2.8 rad/sec (C) 4.3 rad/sec (D) 6.8 rad/sec

16 s ( s + 4)

c ( t)

39.

Which of the following llowing statements is/are correct? 1. For plane wave propagating in lossless dielectrics, the E&H are in time phase with each other. 2. Total internal reflection may occur when wave is travelling from rarer medium to denser medium. (A) 1 only (B) 2 only (C) both 1, 2 (D) None of these

40.

For common base operation of a BJT, which of the following are correct? I. High voltage gain II. Excellent high frequency response III. High input resistance IV. Ideal current buffer (A) I and II (B) I and III (C) I, II and III (D) I, II and IV SPACE FOR ROUGH WORK

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IV Year – Electronics & Communication Engineering 41.

Which of the following statements are false? ur ur ur 1. ∇ ∇.A = ∇ × ∇ × A + ∇ 2 A 2. ∇ × ( ∇A ) = 0 ur Where A is scalar and A is a vector (A) 1 only (B) 2 only (C) 3 only

(

)

(

)

3.

ur ∇× ∇×A = 0

(

)

(D) None of these

1 2− y

42.

∫0 ∫y xydxdy =___________. (A) 0.392

43.

(B) 0.292

(C) 0.492

(D) 0.153

The power dissipated in the 5 Ω resistor for the circuit shown below is (A) 2.4W 5V 10V

+

(B) 1.9W 2A

(C) 3.2W



10Ω

+



5Ω

1Ω

(D) 8W 44.

45.

A 6 GHz EM wave propagates in a parallel plane waveguide, the separation between the planes being 3 cm. Its phase and group velocities are respectively (A) 1.65 × 108 m / sec, 5.45x108 m/sec

(B) 5.45 × 108 m / s ec, 1.65x108 m/sec

(C) 1.65 × 108 m / s ec, 1.65x108 m/sec

(D) 5.45 × 108 m / s ec, 3.7x108 m/sec

The frequency of the pulse at x4 in the network shown below is

x0

(320 kHz )

(A) 10Hz

10-bit Ring counter

x1

4-bit parallel counter

(B) 15Hz

x2

Mod 25 Ripple counter

x3

(C) 20Hz

4-bit Johnson counter

x4

2-bit Ring counter

x5

(D) 25Hz

SPACE FOR ROUGH WORK

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IV Year – Electronics & Communication Engineering 46.

For the network shown below, switch was open for very long time and is thrown at t = 0. The value VL at t = 1 sec is given by (A) 0.47 V

10 Ω

20Ω

+

8V

(B) 1 V

10 H

(C) 1.47 V

VL −

10V

(D) Can’t be determined 47.

A bar of silicon is doped with acceptors as shown below. The doping density varies smoothly and monotonically in the x direction from N A > n i at x = L. Above x = L, the acceptor profile becomes uniform. The donor density is zero everywhere. This is a thermal equilibrium situation. NA uniformn doping The electrostatic potential is greater at (A) x=0 L (B) 0 < x < ni 2 L (C) < x < L 2 (D) x=L 0

48.

For the circuit diagram shown below, the series continues upto “n” gates n where = k {k is an int eger} . 3 The final output of nth gate is

1

(A) A

(B) A

(C) 1

(D) cannot be determined

x

L

L 2

1

1

2

1

3

1

4

1

5

1

6

upto n

SPACE FOR ROUGH WORK

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IV Year – Electronics & Communication Engineering 49.

The z-transform transform X(z) of the real and right-sided right sided sequence x[n] has exactly two poles and one of jπ / 2 them is at z = e and there are two zeros at the origin. If X (1) = 1 ,then which one of the followings is true? 1 2z 2 1 2z 2 < z < 1 (A) X ( z ) = , ROC is (B) X z = , ROC is z > ( ) 2 2 2 z +1 2 ( z − 1) + 2

(C) X ( z ) =

50.

2z 2

( z − 1)

2

+2

(D) X ( z ) =

, ROC is z > 1

2z 2 , ROC is z > 1 z2 + 1 SN ( f ) 1.0

The PSD of a narrow band noise n(t) is shown in figure. The carrier frequency is 5 Hz, then the PSD of the in-phase phase component of n (t) is −7

(A)

SNf ( f )

−2

−1

SNI ( f )

(B)

2.0

5

4

0

4

5

7

f

2.0

2

1

f −2

SN1 ( f )

(C) −2

−1

−0.5 0.5

−1

(D) 1

2

1

f

2

SN1 ( f )

f

−1

−0.5

0

0.5

1

f

SPACE FOR ROUGH WORK

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