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# GATE Electronics and Communication Test Online

 Test Name GATE Electronics and Communication Test Subject GATE Test Type MCQs Total Question 40 Total Marks 80 Total Time 40 Minutes Test Help For Post-Graduate Engineering Admissions Engineering Jobs M.Tech Admissions Government Jobs

Graduate Aptitude Test in Engineering (GATE) is concern with examination that principally tests the extensive understanding of various undergraduate subjects in engineering and science. Electronics & Communication engineering for the interested person in electronic devices, circuits, communication equipment like transmitter, receiver, and integrated circuits. Test available considering the pattern of GATE entrance examination constitute concepts of Electronics and Communications Engineering.

## GATE

1. A Y network has resistances of 10Ω each in two of its arms, while the third arm has a resistance of 11Ω. In the equivalent Δ-network, the lowest value (in Ω) among the three resistance is _______.

Question 1 of 40

2. Let X₁, X₂ and X₃ be independent and identically distributed random variables with the uniform distribution on [0, 1]. The probablity P{X₁ is the largest} is ________.

Question 2 of 40

3. The volume under the surface z(x, y) = x + y and above the triangle in the x - y plane defined by [0 ≤ x ≤ 12] is _________.

Question 3 of 40

4. The Taylor series expansion of 3 sin x + 2 cos x is:

Question 4 of 40

All women are entrepreneurs.
Some women are doctors.
Which of the following conclusions can be logically inferred from the above sentences?

Question 5 of 40

6. In the voltage regulator circuit shown in the figure, the op-amp is ideal. The BJT has V = 0.7 VBE and β = 100, and the zener voltage is 4.7 V. For a regulated output of 9 V, the value of R (in Ω) is ________. Question 6 of 40

7. Many ancient cultures attributed disease to supernatural causes. However, modern science has largely helped ______ such nations.

Question 7 of 40

8. Consider the feedback system shown in the figure. The Nyquist plot of G(s) is also shown. Which one of the following conclusions is correct? Question 8 of 40

9. The aircraft _______ take off as soon as its flight plan was filed.

Question 9 of 40

10. For the following feedback system G(s) = 1/(s + 1)(s + 2). The 2% settling time of the step response is required to be less than 2 seconds. Which if the following compensators C(s) achieves this?

Question 10 of 40

11. A discrete- time single x [n] = sin (π²n), n being an integer, is

Question 11 of 40

12. If fixed positive charges are present in the gate oxide of an n- channel enhancement type MOSEFT, it will lead to:

Question 12 of 40

13. A system is described by the following differential equation, where u(t) is the input to the system and y(t) in the output of the system.    y(t) + 5 y(t) = u(t)         When y(0) = 1 and u(t) is a unit step function, y(t) is

Question 13 of 40

14. For matrices of same dimensions M, N and scalar c, which one of these properties DOES NOT ALWAYS hold?

Question 14 of 40

15. A BJT is biased in forward active mode. Assume VBE = 0.7 V, kT/q = 25 mVand reverse saturation current Is =10-13 A. The transconductance of the BJT (in mA/V) is _________.

Question 15 of 40

16. Consider a random process X(t) = √2 sin (2πt+φ), where the random phase φ is uniformly distributed in the interval [0, 2π]. The auto correlation E[X(t1) X(t2) is

Question 16 of 40

17. The statistics of runs scored in a series by four batsmen are provided in the following table. Who is the most consistent batsman of these four? Question 17 of 40

18. In the circuit shown in the figure, the value of capacitor C (in mF) needed to have critically damped response i(t) is ________. Question 18 of 40

19. Consider a discrete time periodic signal x[n] = sin (πn/5). Let ak be the complex Fourier series coefficient of x[n]. The coefficient[ak] are non-zero when k = Bm ± 1, where m is any integer. The value of B is __________.

Question 19 of 40

20. When the optical power incident on a photodiode is 10 μW and the responsivity is 0.8 A/W, the photocurrent generated (in μA) is:

Question 20 of 40

21. Let X be a real valued random variable with E[X] and E[X²] denoting the mean values of X and X², respectively. The relation which always holds true is:

Question 21 of 40

22. In the circuit shown, the op-amp has finite input impedance, infinite voltage gain and zero input offset voltage. The output voltage. The output voltage Vout is Question 22 of 40

23. A continuous, linear time-invariant filter has an impulse response h(t) described by
h(t) =     3 for 0 ≤ t ≤ 3
0    otherwise

Question 23 of 40

24. What is the next number in the series?
12   35    81     173   357   _____

Question 24 of 40

25. A real (4 x 4) matrix A satisfies the equation A²  = I, where I is the (4 x 4) identity matrix. The positive eigen value of A is ______

Question 25 of 40

26. If the figure, assume that the forward voltage drops on the PN diode D₁ and Schottky diode D₂ are 0.7 V and 0.3 V, respectively. If ON denotes conducting state of the diode and OFF denotes non-conducting state of the diode, then in the circuit, Question 26 of 40

27. The exports and imports (in crores and र) of a country from 2000 to 2007 are given in the following bar chart. If the trade deficit is defined as excess of imports over exports, in which year is the trade deficit 1/5th of the exports? Question 27 of 40

28. In a hosing society, half of the families have a single child per family, while the remaining half have two children per family. The probability that a child picked at random, has a sibling is _________.

Question 28 of 40

29. Find the amplifier shown in the figure, the BJT parameters are VBE = 0.7 V, β = 200, and thermal voltage VT = 25 mV. The voltage gain (vo/vi) of the amplifier is _________. Question 29 of 40

30. Five JK flip-flops are cascaded to form the circuit shown in figure. Clock pulses at a frequency of 1 MHz are applied as shown. The frequency (in kHz) of the waveform at Qis ___________. Question 30 of 40

31. A train that is 280 meters long, travelling at a uniform speed, crosses a platform in 60 seconds and passes a man standing on the platform in 20 seconds. What is the length of the platform in meters?

Question 31 of 40

32. Consider two real valued signals, x(t) band-limited to [- 500 Hz, 500 Hz] and y (t) band-limited to [-1 kHz, 1 kHz]. For z (t) = x(t) . y(t), the Nyquist sampling frequency (in KHz) is ________.

Question 32 of 40

33. In a code-division multiple access (CDMA) system with N = 8 chips, the maximum number of users who can be assigned mutually orthogonal signature sequences is _____________.

Question 33 of 40

34. For maximum power transfer between two cascaded sections of an electrical network, the relationship between the output impedance Z₁ of the first section to the input impedance Z₂

Question 34 of 40

35. C is a closed path in the z-plane given by |z| = 3. The value of the integral C (z² - z + 4j / z + 2j) dz is:

Question 35 of 40

36. The capacity of Binary Symmetric Channel (BSC) with cross-over probability 0.5 is ________.

Question 36 of 40

37. In the equivalent circuit shown in the figure, if iiis the input current and RF is very large, the type of feedback is: Question 37 of 40

38. A 230 V rms source supplies power to two loads connected in parallel. The first load draws 10 kW at 0.8 leading power factor and the second one draws 10 kVA at 0.8 lagging power factor. The complex power delivered by the source is:

Question 38 of 40

39. A good current buffer has:

Question 39 of 40

40. Find the odd one from the following group:
W,E,K,O   I,Q,W,A    F,N,T,X     N,V,D,B

Question 40 of 40

 Test By Subject GATE Test By Topics Electronics and Communication Engineering