GATE 2025 BM – Previous Year Questions with Solutions
All 65 questions of GATE 2025 BM with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – Here are two analogous groups, Group-I and Group-II, that list words in their decreasing order of intensity. Identify the missing word in Group-II.…
- Question 2 – Had I learnt acting as a child, I a famous film star. Select the most appropriate option to complete the above sentence.
- Question 3 – The 12 musical notes are given as C, C\#, D, D\#, E, F, F\#, G, G\#, A, A\#, and B. Frequency of each note is [12]2 times the frequency of the…
- Question 4 – The following figures show three curves generated using an iterative algorithm. The total length of the curve generated after ‘Iteration n’ is: Note:…
- Question 5 – Which one of the following plots represents f(x) = - x x, where x is a non-zero real number? Note: The figures shown are representative.
- Question 6 – Identify the option that has the most appropriate sequence such that a coherent paragraph is formed: P. Over time, such adaptations lead to…
- Question 7 – A stick of length one meter is broken at two locations at distances of b 1 and b 2 from the origin (0), as shown in the figure. Note that 0 < b 1 < b…
- Question 8 – Eight students (P, Q, R, S, T, U, V, and W) are playing musical chairs. The figure indicates their order of position at the start of the game. They…
- Question 9 – The table lists the top 5 nations according to the number of gold medals won in a tournament; also included are the number of silver and the bronze…
- Question 10 – An organization allows its employees to work independently on consultancy projects but charges an overhead on the consulting fee. The overhead is 20%…
- Question 11 – Two 1 cm³ cuboids are made of gold and undoped silicon. What happens to their resistivities as temperature rises from 300 K to 350 K?
- Question 12 – Which frequency-response curve is that of a notch filter?
- Question 13 – Statement (i): Histology studies histones. Statement (ii): Cytology studies tissues. Which is correct?
- Question 14 – Statement (i): Structural MRI has better spatial resolution than EEG. Statement (ii): EEG has better temporal resolution than structural MRI. Which is…
- Question 15 – The ideal op-amp circuit shown is driven by Vin=1 V and powered by ±15 V rails. Find Vout in volts.
- Question 16 – Assertion: PET uses radionuclides such as ¹¹C and ¹⁵N to study tissue metabolism. Reason: Positron-emitting nuclides are incorporated into molecules…
- Question 17 – A 3×3 matrix M has determinant 8. Multiply every element by −2. Find the new determinant.
- Question 18 – A real function f is continuous and differentiable with f′(x)≠0 everywhere. For finite real a≠b, which always holds?
- Question 19 – Classify the closed-loop unity-negative-feedback system with G(s)=25/[s(s+5)].
- Question 20 – Which statement about the integral component of a PID controller for a second-order linear system is correct?
- Question 21 – Find the eigenvalues of pmatrix&-\\&pmatrix.
- Question 22 – A 1 μm bacterium, 10 cm fish and 10 m whale each swim one body length per second in water. Their Reynolds numbers are R1,R2,R3 respectively. Which…
- Question 23 – A rod’s shape is position r(s) at arclength s, 0≤s≤l. Its bending energy is E=K 0l 2 r/ s2 2ds. Find dimensions of K.
- Question 24 – What is the approximate action-potential duration in a human ventricular muscle cell, in milliseconds?
- Question 25 – 9 6C and 10 6C are , whereas 9 6C and 8 5B are .
- Question 26 – Human cerebrospinal fluid occupies which space?
- Question 27 – For temperature-sensitive polymers, what does LCST stand for?
- Question 28 – In a human ECG, atrial repolarization is usually masked by which component?
- Question 29 – Which hormone is NOT secreted by the human adrenal gland?
- Question 30 – Which does NOT use piezoelectric transducers?
- Question 31 – A low-pass filter with 250 Hz cutoff is NOT suitable for recording which signal?
- Question 32 – For f(x)=x-1/x, evaluate x0[f(1+ x)-f(1)]/ x.
- Question 33 – The dataset −5,1,a,5,b is in ascending order and has both mean and median 3. Find b.
- Question 34 – A tissue has Young’s modulus 4 kPa and shear modulus 1.5 kPa. Find Poisson’s ratio under the isotropic elastic relation.
- Question 35 – A test EEG device measures 2.4 μV while a reference measures 3.0 μV. Find the magnitude of percentage error of the test device.
- Question 36 – For x(t)=20(100 t)+36(150 t)-2(300 t) with t in seconds, which sampling frequency permits accurate reconstruction?
- Question 37 – Voltage V s=5(100t+/2) V drives current I=10(100t+/6) mA. Find average dissipated power in mW.
- Question 38 – A binomial variable from N independent trials has expectation 16 and variance 12. Find N.
- Question 39 – y″−0.25y=0 with y(0)=1,y′(0)=1. Find y(ln100).
- Question 40 – Vin=10cos(1000t) V drives the shown 3 kΩ resistor in series with a parallel 1 kΩ–1 μF branch. Find input-impedance magnitude in kΩ to one decimal…
- Question 41 – Gelatin solutions P,Q have concentrations 3.5%,0.5% w/v. How many mL of P must be mixed with 100 mL of Q to obtain a 3% solution, assuming additive…
- Question 42 – For real x, which statements about y= e(-ex) are correct?
- Question 43 – Which statements about ultrasound are true?
- Question 44 – Systems U,V are defined by U: y(t)=x(t)²+1 and V: y(t)=x(t+1). Which are correct?
- Question 45 – Which pulse-oximetry statements are true?
- Question 46 – Which statements about neuronal membranes and action potentials are correct?
- Question 47 – An LTI system has h[n]=δ[n]+δ[n−1]/2+δ[n−2]/3. Input is x[n]=δ[n]+δ[n−1]. Which output statements hold?
- Question 48 – Which definitions of muscle testing are correct?
- Question 49 – A Newtonian fluid of viscosity μ flows laminarly through a radius-R tube under a constant axial pressure gradient, with no slip. At radial position r,…
- Question 50 – At one frequency, biomaterials have (storage modulus G′,loss modulus G″) in Pa: P=(1000,50), Q=(1000,80), R=(1000,100), S=(1000,0). Which statements…
- Question 51 – An 8-bit DAC maps 00000000 to 0 V and 11111111 to 5 V. Find output for 10110111, rounded to two decimal places in volts.
- Question 52 – Find the ideal summing op-amp output shown, in volts to the nearest integer. Inputs are 2 V through 5 kΩ, 2 V through 4 kΩ, 1 V through 2 kΩ; feedback…
- Question 53 – A thermistor obeys R(T)=R 0[(1/T-1/T 0)], with β=3100 K. A resistance measurement has 10% relative error. Estimate relative error in measuring T=310…
- Question 54 – The oscillator shown has R=1 kΩ,R1=2 kΩ,R2=6 kΩ,C=0.1 μF. Find its oscillation frequency in kHz, to two decimal places.
- Question 55 – A series RLC circuit has Vrms=240 V,R=60 Ω,L=10 mH,C=8 μF. Find RMS current at resonance, nearest integer amperes.
- Question 56 – log10(BMR) versus log10(M) is linear with slope 0.75. A 10 kg child has BMR=600 kcal/day. Find BMR for a 100 kg adult, nearest integer kcal/day.
- Question 57 – Use one Newton–Raphson iteration for x³−2x−5=0 from x0=3. Give x1 to two decimal places.
- Question 58 – For pulsatile flow in an artery of internal diameter 20 mm, wall thickness 1 mm and Young’s modulus 1 MPa, find wave speed in m/s to one decimal…
- Question 59 – An ideal massless spring with stiffness 1 N/m is cut into five equal lengths. Two pieces are connected in parallel as shown. Find resultant stiffness,…
- Question 60 – A bone scaffold contains equal masses of PLGA and hydroxyapatite, whose densities are 1 and 3 g/cm³. Porosity is 80%. Find bulk scaffold density in…
- Question 61 – Suture strength obeys σ=σ0−2 ln(t) for t≥1 week. If strength is 2 MPa at week 4, find strength at week 8 in MPa to two decimal places.
- Question 62 – Proton gyromagnetic frequency ratio is 42.58 MHz/T. Find resonance frequency at 1.5 T to two decimal places in MHz.
- Question 63 – The Wheatstone bridge shown is initially balanced. Straining its cylindrical resistor Rstrain along length l produces Vout =10 mV for 1 V excitation.…
- Question 64 – A collagen gel has storage modulus G′ proportional to concentration cubed. At 1 mg/mL, G′=100 Pa. Find G′ at 3 mg/mL, nearest integer Pa.
- Question 65 – At rest, cardiac output is 5 L/min and mean aortic pressure 100 mmHg. In exercise output doubles and mean aortic pressure rises to 110 mmHg. Neglect…