GATE EC-1

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1. Choose the word most similar in meaning to the given word: Educe

(A) Exert

(B) Educate

D) Extend

2. If logx (5/7) = -1/3, then the value of x is

(A) 343/125

(B) 125/343

(D) -49/25

3. Choose the most appropriate word from the options given below to complete the following sentence. The principal presented the chief guest with a ____________, as token of appreciation.

(A) momento

(B) memento

(D) moment

4. Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence: Frogs ____________________.

(A) Croak

(B) Roar

(D) Patter

5. A cube of side 3 units is formed using a set of smaller cubes of side 1 unit. Find the proportion of the number of faces of the smaller cubes visible to those which are NOT visible.

(A) 1 : 4

(B) 1 : 3

(D) 2 : 3

6. Humpty Dumpty sits on a wall every day while having lunch. The wall sometimes breaks. A person sitting on the wall falls if the wall breaks. Which one of the statements below is logically valid and can be inferred from the above sentences?

(A) Humpty Dumpty always falls while having lunch

(B) Humpty Dumpty does not fall sometimes while having lunch

(D) When Humpty Dumpty does not sit on the wall, the wall does not break

7. The following question presents a sentence, part of which is underlined. Beneath the sentence you find four ways of phrasing the underline part. Following the requirements of the standard written English, select the answer that produces the most effective sentence. Tuberculosis, together with its effects, ranks one of the leading causes of death in India.

(A) ranks as one of the leading causes of death

(B) rank as one of the leading causes of death

(D) are one of the leading causes of death

8. Read the following paragraph and choose the correct statement. Climate change has reduced human security and threatened human well being. An ignored reality of human progress is that human security largely depends upon environmental security. But on the contrary, human progress seems contradictory to environmental security. To keep up both at the required level is a challenge to be addressed by one and all. One of the ways to curb the climate change may be suitable scientific innovations, while the other may be the Gandhian perspective on small scale progress with focus on sustainability.

(A) Human progress and security are positively associated with environmental security.

(B) Human progress is contradictory to environmental security.

(D) Human progress depends upon environmental security.

9. A region of negative differential resistance is observed in the current voltage characteristics of a silicon PN junction if

(A) Both the P-region and the N-region are heavily doped

(B) The N-region is heavily doped compared to the P-region

(D) An intrinsic silicon region is inserted between the P-region and the N-region

10. In an 8085 microprocessor, the shift registers which store the result of an addition and the overflow bit are, respectively

(A) B and F

(B) A and F

(D) A and C

11. Negative feedback in a closed-loop control system DOES NOT

(A) reduce the overall gain

(B) reduce bandwidth

(D) reduce sensitivity to parameter variation

12. In the circuit shown, the switch SW is thrown from position A to position B at time t = 0. The energy in J taken from the 3V source to charge the 0.1F capacitor from 0V to 3V is

(A) 0.3

(B) 0.45

(D) 3

13. A sinusoidal signal of 2 kHz frequency is applied to a delta modulator. The sampling rate and step-size  of the delta modulator are 20,000 samples per second and 0.1V, respectively. To prevent slope overload, the maximum amplitude of the sinusoidal signal (in Volts) is

πAdd description here!

(A) 1 /2π

B) 1/π

(D) π

14. What is the adverb for the given word below? Misogynous

(A) Misogynousness

(B) Misogynity

(D) Misogynous

15. Choose the appropriate word–phrase out of the four options given below, to complete the following sentence Dhoni, as well as the other team members of Indian team _______________ present on the occasion

(A) Were

(B) Was

(D) Have

16. Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram’s selection is 1/6 and that of Ramesh is 1/8. What is the probability that only one of them will be selected?

(A) 47/48

(B) 1/4

(D) 35/48

17. Choose he word most similar in meaning to the given word: Awkward

(A) Inept

(B) Graceful

(D) Dreadful

18. An electric bus has onboard instruments that report the total electricity consumed since the
start of the trip as well as the total distance covered. During a single day of operation, the bus
travels on stretches M, N, O and P, in that order. The cumulative distances traveled and the
corresponding electricity consumption are shown in the Table below

(A) M

(B) N

(D) P

19. Given below are two statements followed by two conclusions. Assuming these statements to be true, decide which one logically follows.

Statements:
I. All film stars are playback singers.
II. All film directors are film stars
Conclusions:
I. All film directors are playback singers.
II. Some film stars are film directors.

(A) Only conclusion I follows

(B) Only conclusion II follows

(D) Both conclusions I and II follow

20. Which of the staternent(s) below is/are logically valid and can be inferred from the above statements?

Lamenting the gradual sidelining of the arts ill school curricula, a group of prominent artists
wrote to the Chief Minister last year, asking him to allocate rnore funds to support arts
education in schools. However, no such increase has been announced in this year’s Budget.
The artists expressed their deep anguish at their request not being approved, but many of them
remain optimistic about funding in the future
(i) The artists expected funding for the arts to increase this year
(ii) The Chief Minister was receptive to the idea of increasing funding for the arts
(iii) The Chief Minister is a prominent artist
(iv) Schools are giving less importance to arts education nowadays

(A) (iii) and (iv)

(B) (i) and (iv)

(D) (i) and (iii)

21. In the figure shown, the output Y is required to be Y  ABCD . The gates G1 and G2 must be, respectively,

(A) NOR, OR

(B) OR, NAND

(D) AND, NAND

22. The magnitude and phase of the complex Fourier series coefficients k a of a periodic signal x(t) are shown in the figure. Choose the correct statement form the four chices given. Notation: C is the set of complex numbers, R is the set of purely real numbers, and P is the set purely imaginary numbers.

∈

A. x(t)∈R

B. x(t)∈P

C. x(t)∈(C-R)

(D) The information given is not sufficient to draw any conclusion about x(t)

23. If the circuit shown has to function as a clamping circuit, which one of the following conditions should be satisfied for sinusoidal signal of period T?

≈

(A) RC<<T

(B) RC = 0.35T

(D) RC >> T

24. In an 8085 microprocessor, which one of the following instructions changes the content of the accumulator?

(A) MOV B, M

(B) PCHL

(D) SBI BEH

25. 1. Find the missing sequence in the letter series below: A, CD, GHI,?, UVWXY

(A) LMN

(B) MNO

(D) NOPQ

26. Choose the correct verb to fill in the blank below: Let us .

(A) Introvert

(B) alternate

(D) altruist

27. Choose the most appropriate word from the options given below to complete the following sentence? If the athlete had wanted to come first in the race, he _several hours every day.

(A) Should practice

(B) Should have practised

(D) Should be practicing

28. Choose the most suitable one word substitute for the following expression Connotation of a road or way

(A) Pertinacious

(B) Viaticum

(D) Ravenous

29. If x>y>I, which of the following must be true?

(i) ln x > ln y

(iv) cos x > cos y

(ii) ex > ey

(iii)

yx > xy

A. (i)and (ii)

B. (i)and (iii)

c. (iii)and (iv)

D. (ii)and (iv)

30. In the following question, the first and the last sentence of the passage are in order and numbered 1 and 6. The rest of the passage is split into 4 parts and numbered as 2,3,4, and 5. These 4 parts are not arranged in proper order. Read the sentences and arrange them in a logical sequence to make a passage and choose the correct sequence from the given options.

One Diwali, the family rises early in the
The whole family, including the young and the old enjoy doing this,
Children let off fireworks later in the night with their
At sunset, the lamps are lit and the family performs various rituals
Father, mother, and children visit relatives and exchange gifts and
Houses look so pretty with lighted lamps all

(A) 2, 5, 3, 4

(B) 5, 2, 4, 3

(D) 4, 5, 2, 3

31. Ms. X will be in Bagdogra from 01/05/2014 to 20/05/2014 and from 22/05/2014 to 31/05/2014. On the morning of 21/05/204, she will reach Kochi via Mumbai Which one of the statements below is logically valid and can be inferred from the above sentences?

(A) Ms. X will be in Kochi for one day, only in May

(B) Ms. X will be in Kochi for only one day in May

(D) Only Ms. X will be in Kochi for one day in May.

32. log tan1O +log tan 2O +...... log tan89O is .........

A. 1√2

B/1 2

C. 0

D. -1

33. Ram and Shyam shared a secret and promised to each other that it would remain between them. Ram expressed himself in one of the following ways as given in the choices below. Identify the correct way as per standard English.

(A) It would remain between you and me.

(B) It would remain between I and you

(D) It would remain with me.

34.A coaxial cable is made of two brass conductors. The spacing between the conductors is filled with Teflon (εr = 2.1, tanδ = 0). Which one of the following circuits can represent the lumped element model of a small piece of this cable having length Δz?

35. In the circuit shown, diodes D1, D2 and D3 are ideal, and the inputs E1, E2 and E3 are „0 V‟ for logic „0‟ and „10 V‟ for logic „1‟. What logic gate does the circuit represent?

(A) ) 3 input OR gate

B) 3 input NOR gate

(D) 3 input XOR gate

36. The contour on the x-y plane, where the partial derivative of x2 + y2 with respect to y is equal to the partial derivative of 6y + 4x with respect to x, is

(A) y = 2

(B) x = 2

(D) x – y = 0

37. Which one of the following 8085 microprocessor programs correctly calculates the product of two 8-bit numbers stored in registers B and C?(Options)

(A) MVI A, 00 H JNZ LOOP LOOP DCR B HLT

(b.) MVI, A, 00H CMP C LOOP DCR BJNZ LOOP HLT

(C)MVI A, 00H LOOP ADD C DCR B JNZ LOOP HLT

(D) MVI A, 00H ADD C JNZ LOOP LOOP INR B HLT

38. The modulation scheme commonly used for transmission from GSM mobile terminals is

(A) ) 4-QAM

(B) ) 16-PSK

(D) Gaussian Minimum Shift Keying (GMSK)

39. Which one of the following processes is preferred to from the gate dielectric (SiO2) of MOSFETs?

(A) Sputtering

(B) Molecular beam epitaxy

D) Dry oxidation

40. A message signal m(t) = Am sin(2πfmt) is used to modulate the phase of a carrier Ac cos(2πfct) to get the modulated signal y(t) = Ac cos(2πfct + m(t)). The bandwidth of y(t)

(A) depends on Am but not on fm

(B) depends on fm but not on Am

(D) does not depends on Am or fm

41. The directivity of an antenna array can be increased by adding more antenna elements, as a larger number of elements

(A) improves the radiation efficiency

(B) increases the effective area of the antenna

(D) allows more power to be transmitted by the antenna

42. The impulse response of an LTI system can be obtained by

(A) differentiating the unit ramp response

(B) differentiating the unit step response

(D) integrating the unit step response

43. If the base width in a bipolar junction transistor is doubled, which one of the following statements will be TRUE?

Add description here!

(A) Current gain will increase

(B) Unity gain frequency will increase

(D) Early voltage will increase

44. The circuit shown consists of J-K flip-flops, each with an active low asynchronous reset ( Rd input). The counter corresponding to this circuit is

(A) ) a modulo-5 binary up counter

(B) a modulo-6 binary down counter

C) a modulo-5 binary down counter

(D) a modulo-6 binary up counter

45. A universal logic gate can implement any Boolean function by connecting sufficient number of them appropriately. Three gates are shown.

Which one of the following statements is TRUE?

(A) Gate 1 is a universal gate.

(B) Gate 2 is a universal gate

(D) None of the gates shown is a universal gate.

46. A three bit pseudo random number generator is shown. Initially the value of output Y = Y2 Y1 Y0 is set to 111. The value of output Y after three clock cycles is

(A) 000

(B) 001

(D) 100

47. The ABCD parameters of the following 2-port network are

48. A realization of a stable discrete time system is shown in figure. If the system is excited by a unit step sequence input x[n], the response y[n] is

49. The electric field profile in the depletion region of a p-n junction in equilibrium is shown in the figure. Which one of the following statements is NOT TRUE?

(A) The left side of the junction is n-type and the right side is p-type

(B) Both the n-type and p-type depletion regions are uniformly doped

(D) If the p-type region has a doping concentration of 1015 cm–3 , then the doping concentration in the n-type region will be 1016 cm–3

50. Consider the 3 m long lossless air-filled transmission line shown in the figure. It has a characteristic impedance of 120π Ω, is terminated by a short circuit, and is excited with a frequency of 37.5 MHz. What is the nature of the input impedance (Zin)?

(A) Open

(B) Short

(D) Capacitive

51. An SR latch is implemented using TTL gates as shown in the figure. The set and reset pulse inputs are provided using the push-button switches. It is observed that the circuit fails to work as desired. The SR latch can be made functional by changing

(A) NOR gates to NAND gates

(B) inverters to buffers

(D) ) 5 V to ground

52. Suppose x[n] is an absolutely summable discrete-time signal. Its z-transform is a rational function with two poles and two zeroes. The poles are at z = ± 2j. Which one of the following statements is TRUE for the signal x[n]?

(A) It is a finite duration signal.

(B) It is a causal signal.

C) It is a non-causal signal.

D) It is a periodic signal

53. An apple costs Rs. 10. An onion costs Rs. 8. Select the most suitable sentence with respect to grammar and usage.

(A) The price of an apple is greater than an onion.

(B) The price of an apple is more than onion.

(D) Apples are more costlier than onions.

54. The Buddha said, “Holding on to anger is like grasping a hot coal with the intent of throwing it at someone else; you are the one who gets burnt.” Select the word below which is closest in meaning to the word underlined above

(A) burning

(B) igniting

(D) flinging

55. M has a son Q and a daughter R. He has no other children. E is the mother of P and daughter-in- law of M. How is P related to M?

(A) P is the son-in-law of M.

(B) P is the grandchild of M.

(D) P is the grandfather of M.

56. The number that least fits this set: (324, 441, 97 and 64) is .

(A) 324

(B) 441

(D) 64

57. It takes 10 s and 15 s, respectively, for two trains travelling at different constant speeds to completely pass a telegraph post. The length of the first train is 120 m and that of the second train is 150 m. The magnitude of the difference in the speeds of the two trains (in m/s) is .

(A) 2.0

(B) 10.0

(D) 22.0

58. The velocity V of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the 7 seconds, how much will the odometer reading increase by (in m)?

(A) 0

(B) 3

(D) 5

59. The overwhelming number of people infected with rabies in India has been flagged by the World Health Organization as a source of concern. It is estimated that inoculating 70% of pets and stray dogs against rabies can lead to a significant reduction in the number of people infected with rabies. Which of the following can be logically inferred from the above sentences?

A. The number of people in India infected with rabies is high.

B. The number of people in other parts of the world who are infected with rabies is low

C. Rabies can be eradicated in India by vaccinating 70% of stray dogs.

D. Stray dogs are the main source of rabies worldwide.

60. A flat is shared by four first year undergraduate students. They agreed to allow the oldest of them to enjoy some extra space in the flat. Manu is two months older than Sravan, who is three months younger than Trideep. Pavan is one month older than Sravan. Who should occupy the extra space in the flat?

(A) Manu

(B) Sravan

(D) Pavan

61. Find the area bounded by the lines 3x+2y=14, 2x-3y=5 in the first quadrant.

(A) 14.95

(B) 15.25

(D) 20.35

62. A straight line is fit to a data set (ln x, y). This line intercepts the abscissa at ln x = 0.1 and has a slope of −0.02. What is the value of y at x = 5 from the fit?

(A) −0.030

(B) −0.014

(D) 0.030

(A) 8

(B) 12

(D) 32

65. In the RLC circuit shown in the figure, the input voltage is given byThe output voltage ??(?) is

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