GATE 2015 EE – Previous Year Questions with Solutions
All 65 questions of GATE 2015 EE with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Didn't you buy when you went shopping?
- Question 2 – Which of the following options is the closest in meaning to the sentence below? She enjoyed herself immensely at the party.
- Question 3 – Which one of the following combinations is incorrect?
- Question 4 – Based on the given statements, select the most appropriate option to solve the given question. If two floors in a certain building are 9 feet apart,…
- Question 5 – Given Set A = \2, 3, 4, 5\ and Set B = \11, 12, 13, 14, 15\, two numbers are randomly selected, one from each set. What is the probability that the…
- Question 6 – Select the alternative meaning of the underlined part of the sentence. The chain snatchers took to their heels when the police party arrived.
- Question 7 – The given statement is followed by some courses of action. Assuming the statement to be true, decide the correct option. Statement: There has been a…
- Question 8 – The pie chart below has the breakup of the number of students from different departments in an engineering college for the year 2012. The proportion…
- Question 9 – The probabilities that a student passes in Mathematics, Physics and Chemistry are m, p, and c respectively. Of these subjects, the student has 75%…
- Question 10 – The number of students in a class who have answered correctly, wrongly, or not attempted each question in an exam, are listed in the table below. The…
- Question 11 – A random variable X has probability density function f(x) as given below: f(x) = cases a + bx & for 0 < x < 1 \\ 0 & otherwise cases If the expected…
- Question 12 – If a continuous function f(x) does not have a root in the interval [a, b], then which one of the following statements is TRUE?
- Question 13 – If the sum of the diagonal elements of a 2 2 matrix is -6, then the maximum possible value of determinant of the matrix is .
- Question 14 – Consider a function f = 1r2r, where r is the distance from the origin and r is the unit vector in the radial direction. The divergence of this…
- Question 15 – When the Wheatstone bridge shown in the figure is used to find the value of resistor R X, the galvanometer G indicates zero current when R 1 = 50\ , R…
- Question 16 – A (0-50 A) moving coil ammeter has a voltage drop of 0.1 V across its terminals at full scale deflection. The external shunt resistance (in milliohms)…
- Question 17 – Of the four characteristics given below, which are the major requirements for an instrumentation amplifier? P. High common mode rejection ratio Q.…
- Question 18 – In the following chopper, the duty ratio of switch S is 0.4. If the inductor and capacitor are sufficiently large to ensure continuous inductor…
- Question 19 – A moving average function is given by y(t) = 1T t-Tt u()\,d. If the input u is a sinusoidal signal of frequency 12T Hz, then in steady state, the…
- Question 20 – The impulse response g(t) of a system, G, is as shown in Figure (a). What is the maximum value attained by the impulse response of two cascaded blocks…
- Question 21 – Consider a one-turn rectangular loop of wire placed in a uniform magnetic field as shown in the figure. The plane of the loop is perpendicular to the…
- Question 22 – A steady current I is flowing in the -x direction through each of two infinitely long wires at y = L2 as shown in the figure. The permeability of the…
- Question 23 – Consider the circuit shown in the figure. In this circuit R = 1\ k, and C = 1\ F. The input voltage is sinusoidal with a frequency of 50 Hz,…
- Question 24 – In the given circuit, the silicon transistor has = 75 and a collector voltage V C = 9 V. Then the ratio of R B and R C is .
- Question 25 – In the 4 1 multiplexer, the output F is given by F = A B. Find the required input 'I 3 I 2 I 1 I 0'.
- Question 26 – Consider a HVDC link which uses thyristor based line-commutated converters as shown in the figure. For a power flow of 750 MW from System 1 to System…
- Question 27 – Base load power plants are P: wind farms. Q: run-of-river plants. R: nuclear power plants. S: diesel power plants.
- Question 28 – The voltages developed across the 3\ and 2\ resistors shown in the figure are 6 V and 2 V respectively, with the polarity as marked. What is the power…
- Question 29 – For the given circuit, the Thevenin equivalent is to be determined. The Thevenin voltage, V Th (in Volt), seen from terminal AB is .
- Question 30 – An inductor is connected in parallel with a capacitor as shown in the figure. As the frequency of current i is increased, the impedance (Z) of the…
- Question 31 – A separately excited DC generator has an armature resistance of 0.1\ and negligible armature inductance. At rated field current and rated rotor speed,…
- Question 32 – The self inductance of the primary winding of a single phase, 50 Hz, transformer is 800 mH, and that of the secondary winding is 600 mH. The mutual…
- Question 33 – The primary mmf is least affected by the secondary terminal conditions in a
- Question 34 – A Bode magnitude plot for the transfer function G(s) of a plant is shown in the figure. Which one of the following transfer functions best describes…
- Question 35 – For the signal-flow graph shown in the figure, which one of the following expressions is equal to the transfer function Y(s)X 2(s) X 1(s) = 0?
- Question 36 – The maximum value of "a" such that the matrix pmatrix -3 & 0 & -2 \\ 1 & -1 & 0 \\ 0 & a & -2 pmatrix has three linearly independent real eigenvectors…
- Question 37 – A solution of the ordinary differential equation d2ydt2 + 5dydt + 6y = 0 is such that y(0) = 2 and y(1) = -1 - 3ee3. The value of dydt(0) is .
- Question 38 – The signum function is given by sgn(x) = cases x x ; & x 0 \\ 0; & x = 0 cases The Fourier series expansion of sgn((t)) has
- Question 39 – Two players, A and B, alternately keep rolling a fair dice. The person to get a six first wins the game. Given that player A starts the game, the…
- Question 40 – An unbalanced DC Wheatstone bridge is shown in the figure. At what value of p will the magnitude of V 0 be maximum?
- Question 41 – The circuit shown is meant to supply a resistive load R L from two separate DC voltage sources. The switches S1 and S2 are controlled so that only one…
- Question 42 – A self commutating switch SW, operated at duty cycle is used to control the load voltage as shown in the figure. [Figure: A boost converter with…
- Question 43 – The single-phase full-bridge voltage source inverter (VSI), shown in figure, has an output frequency of 50 Hz. It uses unipolar pulse width modulation…
- Question 44 – A 3-phase 50 Hz square wave (6-step) VSI feeds a 3-phase, 4 pole induction motor. The VSI line voltage has a dominant 5th harmonic component. If the…
- Question 45 – Consider a discrete time signal given by x[n] = (-0.25)n u[n] + (0.5)n u[-n-1] The region of convergence of its Z-transform would be
- Question 46 – A parallel plate capacitor is partially filled with glass of dielectric constant 4.0 as shown below. The dielectric strengths of air and glass are 30…
- Question 47 – The figure shows a digital circuit constructed using negative edge triggered J-K flip flops. Assume a starting state of Q 2 Q 1 Q 0 = 000. This state…
- Question 48 – f(A, B, C, D) = M(0, 1, 3, 4, 5, 7, 9, 11, 12, 13, 14, 15) is a maxterm representation of a Boolean function f(A, B, C, D) where A is the MSB and D is…
- Question 49 – The op-amp shown in the figure has a finite gain A = 1000 and an infinite input resistance. A step-voltage V i = 1 mV is applied at the input at time…
- Question 50 – An 8-bit, unipolar Successive Approximation Register type ADC is used to convert 3.5 V to digital equivalent. The reference voltage is +5 V. The…
- Question 51 – Consider the economic dispatch problem for a power plant having two generating units. The fuel costs in Rs/MWh along with the generation limits for…
- Question 52 – Determine the correctness or otherwise of the following Assertion [a] and the Reason [r]. Assertion: Fast decoupled load flow method gives approximate…
- Question 53 – A 50 Hz generating unit has H-constant of 2 MJ/MVA. The machine is initially operating in steady state at synchronous speed, and producing 1 pu of…
- Question 54 – A sustained three-phase fault occurs in the power system shown in the figure. The current and voltage phasors during the fault (on a common…
- Question 55 – The circuit shown in the figure has two sources connected in series. The instantaneous voltage of the AC source (in Volt) is given by v(t) = 12 t. If…
- Question 56 – In a linear two-port network, when 10 V is applied to Port 1, a current of 4 A flows through Port 2 when it is short-circuited. When 5 V is applied to…
- Question 57 – In the given circuit, the parameter k is positive, and the power dissipated in the 2\ resistor is 12.5 W. The value of k is .
- Question 58 – A separately excited DC motor runs at 1000 rpm on no load when its armature terminals are connected to a 200 V DC source and the rated voltage is…
- Question 59 – A DC motor has the following specifications: 10 hp, 37.5 A, 230 V; flux/pole = 0.01 Wb, number of poles = 4, number of conductors = 666, number of…
- Question 60 – A 200/400 V, 50 Hz, two-winding transformer is rated at 20 kVA. Its windings are connected as an auto-transformer of rating 200/600 V. A resistive…
- Question 61 – Two single-phase transformers T 1 and T 2 each rated at 500 kVA are operated in parallel. Percentage impedances of T 1 and T 2 are (1 + j6) and (0.8 +…
- Question 62 – In the signal flow diagram given in the figure, u 1 and u 2 are possible inputs whereas y 1 and y 2 are possible outputs. When would the SISO system…
- Question 63 – The transfer function of a second order real system with a perfectly flat magnitude response of unity has a pole at (2 - j3). List all the poles and…
- Question 64 – Find the transfer function Y(s)X(s) of the system given below.
- Question 65 – The open loop poles of a third order unity feedback system are at 0, -1, -2. Let the frequency corresponding to the point where the root locus of the…