GATE 2026 BM – Previous Year Questions with Solutions
All 65 questions of GATE 2026 BM with answers and explanations. Read each question, then practise it by topic or as a full paper.
Practise this paper in The GATE Grind →
- Question 1 – ‘The team more than 300 runs in 20 overs rains. However, some players needed to improve their batting skills.’ Choose the option with the correct…
- Question 2 – If a positive real number x satisfies 2x+ 2x=48, then the value of x is .
- Question 3 – The next figure, indicated by “?”, in the sequence is . Rows are counted from top to bottom and columns from left to right in each 4-row, 3-column…
- Question 4 – ‘All the mangoes in the basket are good.’ If the above statement is false, then which one of the following statements is necessarily true?
- Question 5 – Consider the following statements about four numbers: (S1) The average of the four numbers is 25. (S2) Each number is at most 40. (S3) Each number is…
- Question 6 – ‘People are crowding around pit into which elephant has fallen. I have never seen an elephant looking more bewildered miserable. Here it is in a most…
- Question 7 – The unit selling prices of products P, Q, R, S, and T are listed below. On a particular day, 250 items were sold with an average selling price of Rs.…
- Question 8 – A string P of length l is laid out as a straight-line segment. Another string K is laid out as a semicircular arc with string P as its diameter, as…
- Question 9 – The Roman senator Meritorius, his brother, his son, and his daughter have varying oratory skill levels. They occupy a seating arrangement with two…
- Question 10 – Which one of the patterns labeled P, Q, R, and S is used to generate the figure shown above them?
- Question 11 – Which will NOT coagulate on an uncoated glass slide?
- Question 12 – Which lists tissues/organs of a healthy adult human in decreasing Young’s modulus?
- Question 13 – Which is NOT a polymer?
- Question 14 – Electrostatic interaction between positively and negatively charged polymers in water most likely forms a .
- Question 15 – Find the eigenvalues of P=pmatrix1&-2\\3&-4pmatrix.
- Question 16 – X has mean 3 and standard deviation 2. If Y=(X−3)/4, find the standard deviation of Y.
- Question 17 – For f(x,y)=x2y+3y2x, evaluate 2f/ x2 at (1,1).
- Question 18 – Invertible n×n matrix P satisfies P³=I. Which must hold?
- Question 19 – Which cell type is most abundant in healthy adult human blood?
- Question 20 – An incompressible cylindrical tissue initially has diameter 2 cm and height 3 cm. It undergoes homogeneous axial stretching by 10%. Find its final…
- Question 21 – A coin gives heads with probability 1/3 and tails with probability 2/3. X=1 for heads and −1 for tails. Find Var(X).
- Question 22 – Which is the correct decreasing order of ultrasound propagation speed?
- Question 23 – Match stress–strain curves P,Q,R with bone,glass,steel.
- Question 24 – The unity-negative-feedback system shown has forward gain G=100 and input Vin=5 V. Find Vout−Vin in volts.
- Question 25 – The shown circuit has a 10 V source, a 10 μH inductor and two 100 Ω branches. It is initially at DC steady state with S open. Immediately after S…
- Question 26 – For the source’s standard n-channel MOSFET model in saturation, CGS,CGD,CDS are gate–source,gate–drain,drain–source parasitic capacitances. Which…
- Question 27 – x[n] is real and odd. Which describes its DTFT X(ej)?
- Question 28 – A diode has the I–V characteristic shown, with knee voltage 0.8 V. It feeds the initially discharged 10 μF capacitor from V in=100(1000t) V. Reverse…
- Question 29 – Find the Thevenin voltage in volts at the RLoad terminals of the shown 15 V, three-100 Ω network.
- Question 30 – In humans, the pyloric sphincter lies between which structures?
- Question 31 – Which epithelial type primarily lines the tracheal mucosa of a healthy adult human?
- Question 32 – A hollow spherical nanoparticle has outer radius 5 nm and uniform shell thickness 3 nm. Find shell volume divided by hollow-core volume, to one…
- Question 33 – An MRI signal has T2=100 ms and initial intensity 500 a.u. Find the intensity at t=50 ms, rounded to one decimal place.
- Question 34 – The gyromagnetic frequency ratio of ³¹P is 17.23 MHz/T. Find its Larmor frequency at 3 T, rounded to one decimal place in MHz.
- Question 35 – Vital capacity is 4600 mL, tidal volume 500 mL, and inspiratory reserve volume 2500 mL. Find expiratory reserve volume in mL, rounded to the nearest…
- Question 36 – A drug is loaded into a polymeric device. Which ratio defines encapsulation efficiency?
- Question 37 – Which complement pathway is most likely activated on implanted biomaterials in a healthy human?
- Question 38 – LCST polymers become less water-soluble as temperature rises. At low temperatures, hydrogen bonding between their (I) segments and water dominates; at…
- Question 39 – Use Newton–Raphson to solve x=e-2x starting from x0=0. Find the first iterate x1.
- Question 40 – For f(x,y)=x2+y2, evaluate PQ f d l along the quarter-unit-circle path shown, from P=(1,0) to Q=(0,1).
- Question 41 – A moving-average filter obeys y[n]=(x[n]+2x[n−1]+x[n−2])/4. Which describes its transfer function?
- Question 42 – A uniform 0.01 N shear force acts on the top of a 1 cm-sided tissue cube. The deformed shear angle is θ=5°. Treat the tissue as linear, isotropic and…
- Question 43 – An EEG PSD has band-average values (μV²/Hz): 0.4–4 Hz:3; 4–8:4; 8–13:8; 13–30:5; 30–100:3. The noise floor is 2 μV²/Hz. Find the alpha-band SNR in dB…
- Question 44 – Match ECG waveforms X,Y,Z in Panel 1 with (i) normal condition, (ii) atrial flutter, (iii) atrioventricular block.
- Question 45 – An ultrasound wave is normally incident from muscle onto bone. Their acoustic impedances are 1.710-4 and 6.110-4 kg m⁻² s⁻¹ respectively, as printed…
- Question 46 – An ultrasound beam travels 5 cm through material attenuating it by 2 dB/cm. Find exit intensity divided by entry intensity.
- Question 47 – The shown MRI pulse sequence marks repetition time TR and echo time TE. Identify it.
- Question 48 – For the ideal op-amp circuit shown, find input impedance looking into Vin.
- Question 49 – Find the minimum sum-of-products expression for the shown four-variable K-map. Empty cells are zeros.
- Question 50 – Match (p) microglia, (q) mesangial cells, (r) microfold cells with (i) brain, (ii) kidney, (iii) small intestine.
- Question 51 – Match cerebral cortical lobes (p) parietal, (q) occipital, (r) temporal with canonical sensory functions (i) sight, (ii) touch, (iii) hearing.
- Question 52 – Which cells primarily occur in healthy human epidermis?
- Question 53 – Which changes increase statistical power when comparing two sample means using a t-test, with other assumptions fixed?
- Question 54 – Which are peptide hormones?
- Question 55 – In the ideal instrumentation amplifier shown, one input-stage feedback resistor R* differs slightly from the other input-stage resistors R. Which…
- Question 56 – Resistance is 60±2 Ω and measured voltage across it is 120±10 mV. Estimate uncertainty of dissipated power in mW, rounded to one decimal place.
- Question 57 – A 532 nm laser fully illuminates a photodiode in series with 10 kΩ. Responsivity at this wavelength is 0.5 A/W, voltage across the resistor is 10 mV,…
- Question 58 – Vector (2,a)T is an eigenvector for the smallest eigenvalue of pmatrix1&2\\2&1pmatrix. Find a as an integer.
- Question 59 – Steady laminar blood flow passes through a tapered circular vessel. At sections A,B, radii are 0.5,0.45 cm. Average speed at A is 1 cm/s. Assuming…
- Question 60 – An arm holds a ball in static equilibrium, as shown. Biceps force F acts at 60° to the rigid lower arm. Ball weight W1=50 N and lower-arm weight W2=20…
- Question 61 – Hormone concentration p in μg/dL obeys p(t)=e-0.1t-0.1p(t) for t≥0 hours, with p(0)=20. Find p(10), to one decimal place.
- Question 62 – The half-lives of ¹¹³ᵐIn and ⁹⁹ᵐTc are 1.7 and 6.0 hours. Their initial sample activities are 100 and 20 GBq respectively. After how many hours are…
- Question 63 – An LTI system has h[n]=[0,0.6,0.8,0.5,0.3,0] and input x[n]=[1,0.6,0,0,0,0], both indexed from n=0. Find the maximum output sample, rounded to one…
- Question 64 – In the shown cross-coupled NAND circuit, each NAND delay is 4 ns and the NOT delay is 1 ns. Input is a 10 MHz clock with 50% duty cycle. Find the…
- Question 65 – Solid spherical polymer particles of diameter 20 μm are suspended in water at 1% w/v. Polymer density is 1 g/cm³. Find the number of particles per mL,…