GATE 2024 BM – Previous Year Questions with Solutions
All 65 questions of GATE 2024 BM with answers and explanations. Read each question, then practise it by topic or as a full paper.
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- Question 1 – If ‘→’ denotes increasing order of intensity, then the meaning of the words [simmer → seethe → smolder] is analogous to [break → raze → ]. Which one…
- Question 2 – In a locality, the houses are numbered in the following way: The house-numbers on one side of a road are consecutive odd integers starting from 301,…
- Question 3 – For positive integers p and q, with pq 1, (pq)p/q = p(pq - 1). Then,
- Question 4 – Which one of the given options is a possible value of x in the following sequence? 3, 7, 15, x, 63, 127, 255
- Question 5 – On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00…
- Question 6 – In the given text, the blanks are numbered (i)−(iv). Select the best match for all the blanks. From the ancient Athenian arena to the modern Olympic…
- Question 7 – Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique seating arrangements are…
- Question 8 – The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation…
- Question 9 – In the 4 × 4 array shown below, each cell of the first three columns has either a cross (X) or a number, as per the given rule. Rule: The number in a…
- Question 10 – During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be 89.85°, the…
- Question 11 – Evaluate counterclockwise z =38\,dzz(z-2)(z-4).
- Question 12 – Which Newton–Raphson iteration solves x=2cos x?
- Question 13 – The source discusses the sodium–potassium pump in restoring neuronal ionic conditions after activity. Which active-transport statement is true?
- Question 14 – Normal rhythm in a healthy human heart originates from which structure?
- Question 15 – Which event is NOT typically encountered in diagnostic X-ray projection radiography?
- Question 16 – Which statement is true for PET imaging?
- Question 17 – Order the skin layers from surface inward.
- Question 18 – Which composition description corresponds to Bioglass 45S5?
- Question 19 – What are liver-resident macrophages called?
- Question 20 – Which cumulative drug-release curve is ideal for an implantable slow-release delivery device?
- Question 21 – The shown 2:1 multiplexer feeds Q back to input 1 and D to input 0, selected by clk. What circuit does it implement?
- Question 22 – Find the continuous-time Fourier transform of e- 2t , with kernel e⁻ʲωᵗ.
- Question 23 – The shown asymptotic Bode magnitude of a second-order low-pass filter has its corner at 1 kHz and DC gain 0 dB. At what frequency is attenuation 80…
- Question 24 – An LTI system obeys y(t)+y′(t)+0.5y″(t)=x(t)+0.1x′(t). Find the Laplace transform of its impulse response under zero initial conditions.
- Question 25 – Match typical diastolic pressures: P systemic arterial, Q pulmonary artery, R right ventricle; I=2–6 mmHg, II=8–12 mmHg, III=60–80 mmHg.
- Question 26 – Which retinal photoreceptor statements are NOT true?
- Question 27 – Monochromatic gamma photons enter homogeneous tissue. Which relationships hold for half-value-layer thickness?
- Question 28 – Four people independently each have infection probability 0.1. Find the probability that at least two are infected, rounded to three decimals.
- Question 29 – Gaussian noise has mean zero and standard deviation 1 mV. Find P(noise>2 mV or noise<−2 mV) as a percentage, nearest integer.
- Question 30 – The periodic square wave shown has cosine/sine Fourier coefficients an,bn. Find a1/a3 to one decimal place.
- Question 31 – A cylindrical tissue has diameter 2 cm,height 3 cm,Young’s modulus 20 MPa. Under axial tensile force 10 N, find the percentage height increase to two…
- Question 32 – Measured current is 5 A and voltage 20 V. Each instrument has 1% uncertainty. Find maximum first-order error in the estimated impedance, nearest…
- Question 33 – Sodium gyromagnetic frequency ratio is 11.26 MHz/T. Find its Larmor frequency at 3 T, nearest integer MHz.
- Question 34 – A 5 MHz Doppler probe measures maximum shift 3 kHz at 45° to blood flow. Sound speed in blood is 1500 m/s. Find maximum flow velocity to two decimals…
- Question 35 – Use Wien’s displacement constant 2.898×10⁻³ m K to find the peak black-body emission wavelength of a human body at 37°C. Give μm to two decimals.
- Question 36 – Find the eigenvalues of A=pmatrix1&-1\\2&-2pmatrix.
- Question 37 – Find a possible solution of / x=-2/ t and / x=-2/ t.
- Question 38 – End-diastolic volume is 125 mL,end-systolic volume 50 mL,and heart rate 65/min. Find cardiac output in L/min to two decimals.
- Question 39 – Which waveform represents Vo in the shown circuit driven by Vs=2sin(2πt) V? The Zener breakdown voltage is 1 V and its forward voltage is idealized to…
- Question 40 – Which MRI timing specification gives proton-density weighting? T1,T2 are tissue relaxation times, TR repetition time, TE echo time.
- Question 41 – Over six months, the orthopaedic implant’s normalized molecular weight falls first, mechanical strength falls next, and mass remains initially near…
- Question 42 – Identical engineered tissues X,Y,Z were co-cultured with different native tissues: I liver,II articular cartilage,III devitalized bone. At eight weeks…
- Question 43 – In the shown pressure catheter–diaphragm sensor, liquid resistance RL arises from viscous friction. Only catheter radius is doubled, with pressure…
- Question 44 – Using residues, evaluate -dx1+x4.
- Question 45 – To isolate alpha EEG, the diagram cascades ideal high-pass cutoff fh,low-pass cutoff fl,then ADC sampling at fs. Which choice works?
- Question 46 – In the shown source network, a 5 V source in series with 1 Ω is parallel to an upward 1 A current source. What load current IL gives maximum load…
- Question 47 – A volume-controlled ventilator delivers 600 mL tidal volume at 40 L/min and 10 breaths/min. If flow rate doubles while the volume and…
- Question 48 – The graph shows X-ray attenuation coefficients versus photon energy for bone,DCA and water. A phantom is imaged at 50 and 150 keV and the developed…
- Question 49 – Which changes are typical in surface EMG during muscle fatigue?
- Question 50 – For F=(x+y) i+(x+y) j, evaluate F d r counterclockwise around the unit square (0,0),(1,0),(1,1),(0,1). Give an integer.
- Question 51 – Total vessel cross-sectional areas in cm² are aorta 4.5,arteries 20,arterioles 400,capillaries 4500,venules 40,veins 15. Aortic blood speed is 30…
- Question 52 – A 15 ng/μL DNA solution in a 0.5 mm microcuvette has absorbance 0.24 at 260 nm. After concentration, absorbance is 0.38 at the same wavelength and…
- Question 53 – A 70 keV X-ray beam passes through 16 cm muscle and 4 cm bone. Their half-value layers are 3.5 and 1.8 cm. Find the percentage transmitted intensity…
- Question 54 – For the source’s ideal inverse-square radiation model, a person one metre from a 4000-curie source receives a specified lethal dose in five minutes.…
- Question 55 – A circular ultrasound transducer has radius a=8 mm,frequency 1 MHz,and axial pressure P(r,0)(ka2/(4r)). Sound speed is 1600 m/s. Find positive…
- Question 56 – The shown parallel circuit has L=1 H,C=1 F,R=2 Ω and current source I=sin(t) A. It is in sinusoidal steady state. Find v at t=π/2 s, in volts to two…
- Question 57 – Find the equivalent impedance ZAB of the shown network, in ohms to one decimal place. Each resistor is 1 Ω and the dependent voltage source equals the…
- Question 58 – An ECG channel has bandwidth 0.5–100 Hz. A single ADC digitizes eight channels. Find the minimum aggregate sampling rate in Hz, nearest integer.
- Question 59 – x[n]=u[n]−u[n−5],h[n]=δ[n]−δ[n−1],and y=x*h. Find the sum of y[n] over all integers n, as an integer.
- Question 60 – The diode in the shown AC bridge is ideal. Source is sin(t) V,with 1 H and 1 Ω in one side and 1 Ω and 1 F in the other. Find the ammeter reading in…
- Question 61 – A voltage v(t)=v0+2cos(ω0t)+5cos(3ω0t)+cos(5ω0t) drives the shown series capacitor and 1 Ω resistor. The capacitor is a short for every AC component…
- Question 62 – An artificial forearm has moment of inertia 0.3 kg m² about its centre of mass,mass 3 kg,and centre of mass 20 cm from the elbow. Find inertia about…
- Question 63 – A 4 mV biopotential enters an amplifier with differential gain 2000. Common-mode input noise is 1000 mV and output noise 200 mV. Find CMRR in dB,…
- Question 64 – Motor nerve stimulation is 4 cm and 24 cm from the recording site. Corresponding distal and proximal latencies are 6 and 10 ms. Find conduction…
- Question 65 – The shown extensor exercise apparatus has OP=0.15 m,OQ=0.35 m,θ=30°,lower-arm weight 20 N acting at P,and tensile force F=50 N at Q. Extensor muscle…