GATE 2026 IN – Previous Year Questions with Solutions
All 65 questions of GATE 2026 IN with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Suresh said, “I did it yesterday.” Which one of the following options is the correct form of this sentence in indirect speech?
- Question 2 – To continue the sequence of tiles shown, which tile should replace the question mark?
- Question 3 – Consider an art gallery whose walkways are shown as lines in the diagram. A black dot represents a junction of two walkways. A guard may be placed at…
- Question 4 – The 2nd of June is a Thursday in a certain year. Which day of the week is the 3rd of July in that year?
- Question 5 – A coin with heads facing up is denoted by H, and a coin with tails facing up is denoted by T. Six coins have the starting arrangement H H H T T T and…
- Question 6 – Exacerbate : Mitigate :: Choose the option with the correct pair of words to fill the blank.
- Question 7 – A paper shown in Panel I is folded along the dashed lines to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the…
- Question 8 – In a population, patients who have high cholesterol also have high blood pressure (BP). Some patients with high BP also have diabetes. There are no…
- Question 9 – Four people P, Q, R, and S, of different ages, make the following observations. P: “I am younger than S.” Q: “I am neither the youngest nor the…
- Question 10 – Circles C 1, C 2, and C 3, with centers O 1, O 2, and O 3, and radii r 1, r 2, and r 3, respectively, touch each other as shown in the figure. Given r…
- Question 11 – A matrix PR33 satisfies P3-4P2+5P-2I=0, where I is a 33 identity matrix. The set of all possible eigenvalues of matrix P is .
- Question 12 – Which one among the following statements is true for the function f(x)=x x ?
- Question 13 – Consider a function f(z)=z2+z+1, where zC is a complex variable. A simple closed contour in the z-plane encloses the point z=1+0j. The value of…
- Question 14 – Consider the matrix A=bmatrix1&0&2\\-1&1&0\\0&1&2bmatrix. Let b=bmatrix1\\3\\0bmatrix, x=bmatrixx 1\ 2\ 3bmatrix. The number of solutions to the…
- Question 15 – An electric field has a potential V(x,y,z)=x2+y2+z2\ V. A charge of 1 coulomb placed at (i+j+k) experiences a force F=(ai+bj+ck)\ N. The values of…
- Question 16 – The RLC filter shown below acts as a .
- Question 17 – A single-phase step-down transformer has a high-voltage primary winding and a low-voltage secondary winding. The secondary winding is connected to a…
- Question 18 – A square wave signal of frequency 20 kHz is passed through an ideal low-pass filter with cut-off frequency of 21 kHz. The output signal is a .
- Question 19 – Given x(t)=4(15 t)+7(4 t), where t is in seconds, the fundamental period of x(t) is seconds.
- Question 20 – Among the following, the differential equation(s) not representative of a linear dynamical system is/are . (i) d2xdt2+2tdxdt+x(t)=u(t) (ii)…
- Question 21 – A common gate amplifier represents a .
- Question 22 – In the circuit shown, the BJT has =100. The base-emitter junction voltage is 0.65\ V. The quiescent collector current I C is mA.
- Question 23 – The maximum signal to quantization noise ratio (SQNR) for a 16-bit analog-to- digital converter is approximately dB.
- Question 24 – The Kelvin double bridge is used to measure valued resistances and has resistors in its construction.
- Question 25 – Active strain gauges are connected in a half-bridge configuration to measure strain in a cantilever element. When powered by a voltage source of 10\…
- Question 26 – A glass pH electrode behaves linearly with an output change of 60\ mV per unit change in pH. The measurement reference is set such that a solution of…
- Question 27 – An analog speech signal contains signals from 200 Hz to 2400 Hz. It is sampled at 6 kHz and quantized with 512 levels for pulse-code modulation (PCM).…
- Question 28 – The slope efficiency of a laser diode is 0.5\ W/A, and the output optical power at a current of 100 mA is 30 mW. Assuming piecewise-linear…
- Question 29 – In a linear element, the measured current is 100\ mA2.5\% and the measured voltage is 5\ V5\%. Which of the following options show(s) the consumed…
- Question 30 – Which of the following statements is/are correct for a thermocouple?
- Question 31 – A data set is given to be [1, 2, 0, −1, −3, 1, 2, 0, 1]. The median of the data set is . (Rounded off to the nearest integer.)
- Question 32 – The potential difference between nodes A and B in a circuit is v A-v B=5\ V. The work done in moving a charge of 1 coulomb from point B to A is J.…
- Question 33 – In the series RL circuit shown, the current through the resistor lags the AC source voltage by 45. Let R=100\ and L=2\ H. The frequency of the source…
- Question 34 – In the circuit below, the maximum value of v out is V. (Rounded off to the nearest integer.)
- Question 35 – The minimum number of comparators required in a 6-bit flash analog-to-digital converter is . (Answer in integer.)
- Question 36 – A box contains three apples and two oranges. Two fruits are removed randomly in succession. The probability that the first is an apple and the second…
- Question 37 – An electric field in free space is E=(2x+5y+6z) i+(5x+4y+10z) j+(6x+10y+2z) k\ V/m. The charge density is C/m3. ( 0 is the permittivity of free…
- Question 38 – A straight thin wire carrying a current I=1\ A in the direction n=( i+2 j+ k)/6 is placed inside a magnetic field B=(2 i+2 k)\ T. The force per unit…
- Question 39 – A two-port network has z-parameters z 11=z 22=10\ and z 12=z 21=5\ . The value of R L such that maximum power is transferred to R L is Ω.
- Question 40 – In the circuit shown below, the value of the output voltage V 0 is V.
- Question 41 – A signal x(t) is shown in the first graph. The plot of y(t)=1-x(4-t) is shown in . The candidate plots are labeled A–D in the figure.
- Question 42 – List I gives system responses to an input, and List II gives system properties. Choose the correct matching. List I: (M) x2(t); (N) x(-t); (O) x(3-t)…
- Question 43 – Given two signals x(t)=u(t-2)-u(t-3) and y(t)=e-4tu(t), if z(t)=x(t)*y(t), then Z(s) is .
- Question 44 – A linear time-invariant (LTI) system is described by bmatrix x 1\\ x 2bmatrix=bmatrix0&1\\-10&-7bmatrixbmatrixx 1\ 2bmatrix+bmatrix1\\1bmatrixu,…
- Question 45 – In the circuit shown below, R=1\ k and R f=10\ k. If V in=100\ mV and the op-amps have supply voltages of 15\ V, then V out is V.
- Question 46 – In the following active-filter circuit with ideal op-amps, R=1\ k and C=1\ F. The input V in has an amplitude of 1 V at 1000 rad/s. The amplitude of V…
- Question 47 – The initial state Q 3Q 2Q 1Q 0 in the digital circuit shown below is 1011. The new value of Q 3Q 2Q 1Q 0 after two rising edges of the clock (CLK)…
- Question 48 – A closed Lissajous pattern observed on an oscilloscope in X–Y mode has three horizontal tangencies and two vertical tangencies in steady state. If the…
- Question 49 – If the definition of SI unit X is required to define SI unit Y, the dependency is indicated as X → Y. A valid order of dependencies, as per present…
- Question 50 – A parallel-plate capacitive displacement sensor has a plate area of 2\ cm2. The air gap between the plates is decreased by 0.1 mm from an initial…
- Question 51 – The emitted radiant energy from a piece of metal was measured using a pyrometer. The temperature was calculated to be 1000 C, assuming a surface…
- Question 52 – An amplitude-modulated voltage signal x(t) drives a load of 1\ , where x(t)=K(300 t)+L(240 t)+L(360 t). If the efficiency is 60% and the carrier power…
- Question 53 – Given f(x,y)=x2-2xy+y2, the complete contour of the equation f(x,y)=1 is described by the option(s) .
- Question 54 – Given the differential equation d2x/dt2+x=0 with x(0)0, which of the following statements is/are true?
- Question 55 – Which of the following functions represent(s) the output of the CMOS logic gate shown in the circuit below?
- Question 56 – A 16-bit processor has 16-bit wide instructions and a few internal registers. Every 16-bit instruction is encoded in a fixed format with one operation…
- Question 57 – Let f(t)=cases1,&t[0,2],\\-t+3,&t[2,3],\\0,&otherwise.cases Then -f()\,d= . (Rounded off to one decimal place.)
- Question 58 – A single-phase transformer has a rating of 10 kVA, 50 Hz, 1100 V/220 V. In an open-circuit test with the high-voltage side open, the following are…
- Question 59 – A linear time-invariant (LTI) system has transfer function G(s)=10(s+1)s(s2+2s+5). The system is placed in a unity negative-feedback configuration.…
- Question 60 – The system G(s)=K/(s+1)4 has a gain margin of 20 dB. The value of K is . (Rounded off to two decimal places.)
- Question 61 – In the phase-locked-loop circuit shown below, the output of the VCO is a digital square wave. If the input is a square wave at 10 kHz, the…
- Question 62 – A digital counter increments its count every 0.1\ s. The counter is used in an instrument to measure frequency. It is operated for one period of the…
- Question 63 – A current-carrying semiconductor of thickness 0.7 mm is placed in a transverse magnetic field. The measured Hall voltage is 0.9 mV and the current is…
- Question 64 – For a fiber Bragg grating-based sensor, the shift in the Bragg wavelength gives information about the value of the measurand. For a Bragg wavelength…
- Question 65 – A photodiode has a responsivity of 0.8\ A/W. If the input optical power to the photodiode is 2 mW, the power delivered to a 50\ load is μW. (Rounded…