GATE 2015 EC – Previous Year Questions with Solutions
All 65 questions of GATE 2015 EC with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Choose the most appropriate word from the options given below to complete the following sentence. The principal presented the chief guest with a , as…
- Question 2 – Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence: Frogs .
- Question 3 – Choose the word most similar in meaning to the given word: Educe
- Question 4 – Operators , and are defined by: a b = a - ba + b; a b = a + ba - b; a b = ab. Find the value of (66 6) (66 6).
- Question 5 – If x(5/7) = -1/3, then the value of x is
- Question 6 – The following question presents a sentence, part of which is underlined. Beneath the sentence you find four ways of phrasing the underlined part.…
- Question 7 – Read the following paragraph and choose the correct statement. Climate change has reduced human security and threatened human well being. An ignored…
- Question 8 – Fill in the missing value
- Question 9 – 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…
- Question 10 – 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…
- Question 11 – Consider a system of linear equations: x - 2y + 3z = -1, x - 3y + 4z = 1, and -2x + 4y - 6z = k. The value of k for which the system has infinitely…
- Question 12 – A function f(x) = 1 - x2 + x3 is defined in the closed interval [-1, 1]. The value of x, in the open interval (-1, 1) for which the mean value theorem…
- Question 13 – Suppose A and B are two independent events with probabilities P(A) 0 and P(B) 0. Let A and B be their complements. Which one of the following…
- Question 14 – Let z = x + iy be a complex variable. Consider that contour integration is performed along the unit circle in anticlockwise direction. Which one of…
- Question 15 – The value of p such that the vector bmatrix 1 \\ 2 \\ 3 bmatrix is an eigenvector of the matrix bmatrix 4 & 1 & 2 \\ p & 2 & 1 \\ 14 & -4 & 10 bmatrix…
- Question 16 – In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in Volts) across the capacitor is .
- Question 17 – In the network shown in the figure, all resistors are identical with R = 300\ . The resistance R ab (in ) of the network is .
- Question 18 – In the given circuit, the values of V 1 and V 2 respectively are
- Question 19 – A region of negative differential resistance is observed in the current voltage characteristics of a silicon PN junction if
- Question 20 – A silicon sample is uniformly doped with donor type impurities with a concentration of 1016 /cm3. The electron and hole mobilities in the sample are…
- Question 21 – For the circuit with ideal diodes shown in the figure, the shape of the output (v out) for the given sine wave input (v in) will be
- Question 22 – In the circuit shown below, the Zener diode is ideal and the Zener voltage is 6 V. The output voltage V o (in volts) is .
- Question 23 – 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 3 V source to charge the…
- Question 24 – In an 8085 microprocessor, the shift registers which store the result of an addition and the overflow bit, respectively
- Question 25 – A 16 Kb (=16,384 bit) memory array is designed as a square with an aspect ratio of one (number of rows is equal to the number of columns). The minimum…
- Question 26 – Consider a four bit D to A converter. The analog value corresponding to digital signals of values 0000 and 0001 are 0 V and 0.0625 V respectively. The…
- Question 27 – The result of the convolution x(-t) * (-t - t 0) is
- Question 28 – The waveform of a periodic signal x(t) is shown in the figure. [Figure: A periodic sawtooth. In each period of 3 s the signal starts at 3 and falls…
- Question 29 – Negative feedback in a closed-loop control system DOES NOT
- Question 30 – A unity negative feedback system has the open-loop transfer function G(s) = Ks(s + 1)(s + 3). The value of the gain K (> 0) at which the root locus…
- Question 31 – The polar plot of the transfer function G(s) = 10(s + 1)s + 10 for 0 < will be in the
- Question 32 – 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…
- Question 33 – Consider the signal s(t) = m(t)(2 f c t) + m(t)(2 f c t) where m(t) denotes the Hilbert transform of m(t) and the bandwidth of m(t) is very small…
- Question 34 – Consider a straight, infinitely long, current carrying conductor lying on the z-axis. Which one of the following plots (in linear scale) qualitatively…
- Question 35 – The electric field component of a plane wave traveling in a lossless dielectric medium is given by E(z, t) = a y 2(108 t - z2) V/m. The wavelength (in…
- Question 36 – The solution of the differential equation d2ydt2 + 2dydt + y = 0 with y(0) = y'(0) = 1 is
- Question 37 – A vector P is given by P = x3 y a x - x2 y2 a y - x2 yz a z. Which one of the following statements is TRUE?
- Question 38 – Which one of the following graphs describes the function f(x) = e-x(x2 + x + 1)?
- Question 39 – The maximum area (in square units) of a rectangle whose vertices lie on the ellipse x2 + 4y2 = 1 is .
- Question 40 – The damping ratio of a series RLC circuit can be expressed as
- Question 41 – In the circuit shown, switch SW is closed at t = 0. Assuming zero initial conditions, the value of v c(t) (in Volts) at t = 1 sec is .
- Question 42 – In the given circuit, the maximum power (in Watts) that can be transferred to the load R L is .
- Question 43 – The built-in potential of an abrupt p-n junction is 0.75 V. If its junction capacitance (C J) at a reverse bias (V R) of 1.25 V is 5 pF, the value of…
- Question 44 – A MOSFET in saturation has a drain current of 1 mA for V DS = 0.5 V. If the channel length modulation coefficient is 0.05 V-1, the output resistance…
- Question 45 – For a silicon diode with long P and N regions, the accepter and donor impurity concentrations are 1 1017 cm-3 and 1 1015 cm-3, respectively. The…
- Question 46 – The Boolean expression F(X, Y, Z) = XYZ + XYZ + XYZ + XYZ converted into the canonical product of sum (POS) form is
- Question 47 – All the logic gates shown in the figure have a propagation delay of 20 ns. Let A = C = 0 and B = 1 until time t = 0. At t = 0, all the inputs flip…
- Question 48 – A 3-input majority gate is defined by the logic function M(a, b, c) = ab + bc + ca. Which one of the following gates is represented by the function…
- Question 49 – For the NMOSFET in the circuit shown, the threshold voltage is V th, where V th > 0. The source voltage V SS is varied from 0 to V DD. Neglecting the…
- Question 50 – In the circuit shown, assume that the opamp is ideal. The bridge output voltage V 0 (in mV) for = 0.05 is .
- Question 51 – The circuit shown in the figure has an ideal opamp. The oscillation frequency and the condition to sustain the oscillations, respectively, are
- Question 52 – In the circuit shown, I 1 = 80 mA and I 2 = 4 mA. Transistors T 1 and T 2 are identical. Assume that the thermal voltage V T is 26 mV at 27 °C. At 50…
- Question 53 – Two sequences [a, b, c] and [A, B, C] are related as, bmatrix A \\ B \\ C bmatrix = bmatrix 1 & 1 & 1 \\ 1 & W 3-1 & W 3-2 \\ 1 & W 3-2 & W 3-4…
- Question 54 – For the discrete-time system shown in the figure, the poles of the system transfer function are located at
- Question 55 – The pole-zero diagram of a causal and stable discrete-time system is shown in the figure. The zero at the origin has multiplicity 4. The impulse…
- Question 56 – The open-loop transfer function of a plant in a unity feedback configuration is given as G(s) = K(s + 4)(s + 8)(s2 - 9). The value of the gain K (> 0)…
- Question 57 – A lead compensator network includes a parallel combination of R and C in the feed-forward path. If the transfer function of the compensator is G c(s)…
- Question 58 – A plant transfer function is given as G(s) = (K P + K Is)1s(s + 2). When the plant operates in a unity feedback configuration, the condition for the…
- Question 59 – The input X to the Binary Symmetric Channel (BSC) shown in the figure is '1' with probability 0.8. The cross-over probability is 1/7. If the received…
- Question 60 – The transmitted signal in a GSM system is of 200 kHz bandwidth and 8 users share a common bandwidth using TDMA. If at a given time 12 users are…
- Question 61 – In the system shown in Figure (a), m(t) is a low-pass signal with bandwidth W Hz. The frequency response of the band-pass filter H(f) is shown in…
- Question 62 – A source emits bit 0 with probability 13 and bit 1 with probability 23. The emitted bits are communicated to the receiver. The receiver decides for…
- Question 63 – The longitudinal component of the magnetic field inside an air-filled rectangular waveguide made of a perfect electric conductor is given by the…
- Question 64 – The electric field intensity of a plane wave traveling in free space is given by the following expression E(x, t) = a y 24( t - k 0 x) (V/m) In this…
- Question 65 – Consider a uniform plane wave with amplitude (E 0) of 10 V/m and 1.1 GHz frequency travelling in air, and incident normally on a dielectric medium…