GATE 2022 BM – Previous Year Questions with Solutions
All 65 questions of GATE 2022 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 – Fill both blanks: “The is too high for it to be considered .”
- Question 2 – On 0≤x≤1, y(x)=2 for 0≤x<1/3, y(x)=3 for 1/3≤x<3/4, and y(x)=1 for 3/4≤x≤1. Find the area under the curve.
- Question 3 – If r is a root of x²+2x+6=0, find (r+2)(r+3)(r+4)(r+5).
- Question 4 – Assume at least one student exists. Statements: 1. All students are inquisitive. 2. Some students are inquisitive. 3. No student is inquisitive. 4.…
- Question 5 – A palindrome reads the same forwards and backwards. The player has the two letter plates shown. Which additional set permits a five-letter palindrome…
- Question 6 – Some people believe “what gets measured, improves”; others believe “what gets measured, gets gamed.” One possible reason is organizational work…
- Question 7 – In a national entrance test, boys were 65% of those appearing and girls the remaining 35%. Girls accounted for 60% of qualified candidates. Which…
- Question 8 – A box has five same-sized balls: three green and two orange. Balls are drawn one at a time. Green balls are not replaced, while orange balls are…
- Question 9 – The three corners and three side midpoints of a triangle are labelled P,Q,R,S,T,U in some order. PR is parallel to QS; P is on the side opposite…
- Question 10 – The plot shown must be divided among four families into similar shapes, possibly of different areas. Poles are equally spaced. Existing ropes R1 and…
- Question 11 – A=pmatrix3&-2\\4&-2pmatrix and I is the 2×2 identity. If A2=kA-2I, find k.
- Question 12 – Evaluate dx/2x-x2, where c is an integration constant.
- Question 13 – For vector field V=a i+b j+c k, identify the invalid differential operation.
- Question 14 – A real continuous-time signal has the magnitude spectrum shown. After sampling at angular frequency 100 rad/s, to what nonnegative baseband frequency…
- Question 15 – The discrete signals x[n] and y[n] are shown. Find their zero-lag cross-correlation rₓᵧ[0] using the average over the eight shown samples. The source…
- Question 16 – The shown logic circuit operates at 1 V. NAND and XNOR input-to-output delays are 200 ps and 400 ps respectively. At t=T, A=0,B=1,Z=0. At t=2T inputs…
- Question 17 – Input bits X and Y are added by the combinational logic shown. S is their sum bit. For correct operation, what are D₀,D₁,D₂,D₃ in that order?
- Question 18 – Find the time separation in seconds between corresponding peaks of v₁(t)=2cos(6t+60°) and v₂(t)=−3sin(6t).
- Question 19 – For the balanced Owen bridge shown, find the unknown inductance Lₓ and resistance Rₓ.
- Question 20 – Myopia occurs when the focal point falls the retina and can be corrected using a lens.
- Question 21 – Choose the correct direction of blood flow in a healthy person, starting and ending at the left ventricle. The options list major vessels and…
- Question 22 – Which region of a healthy adult brain contains primarily white matter?
- Question 23 – A skeletal muscle is recruited to lift a load, but the force generated by contraction is insufficient to lift it. What type of contraction is…
- Question 24 – What is the principal use of a scanning electron microscope’s backscattered-electron detector?
- Question 25 – Which explanation of MRI relaxation time constants T₁ and T₂ is correct?
- Question 26 – For real x, select all even functions, on their stated natural domains.
- Question 27 – Which properties should an ideal coronary stent have?
- Question 28 – Which biomedical-instrument electrical-safety statements are true?
- Question 29 – Which statements about pulse oximetry are correct?
- Question 30 – Which statements about biomedical electrical measurements are true?
- Question 31 – Which mechanical prosthetic valve designs have been used as replacements for diseased heart valves?
- Question 32 – In the source’s simplified model, three family members independently have equally likely positive or negative COVID status. Given that one member has…
- Question 33 – A series circuit with R=10 Ω, L=50 mH and C=100 μF consumes power P from a 200 V,50 Hz supply. Change only L so that power remains P but power factor…
- Question 34 – A PZT5A ultrasound transducer must resonate at 5 MHz. Sound speed in the crystal is 4350 m/s. Find the required thickness in mm to three decimals.
- Question 35 – In the shown 10 V resistive circuit, the 3 Ω resistor dissipates 12 W. Find the unknown resistance R in ohms.
- Question 36 – Evaluate Cz3-93z-i\,dz in the complex z plane.
- Question 37 – Solve dy/dx−y=cos x, with c an arbitrary constant.
- Question 38 – A system has the magnitude and phase responses shown. For step input x(t)=u(t), its output crosses zero at t=t d>0. Find t d in μs.
- Question 39 – For the shown two-tap high-pass FIR filter, H(z)=Y(z)/X(z). The maximum-to-minimum magnitude ratio is 2 and the maximum magnitude is 1. Find β₀,β₁.
- Question 40 – The ideal system has h i(t)=e- tu(t). The real system has delayed response h r(t)=e-(t-T)u(t-T) plus auxiliary path h a(t)=[u(t)-u(t-5T)]. For impulse…
- Question 41 – The op-amp/resistor/capacitor filter shown uses ideal op-amps with infinite gain and bandwidth. What R₂ in kΩ makes Vₒ(s)/Vᵢ(s) all-pass?
- Question 42 – Let g(t)=df(t)/dt and F(s)=(1+s)/(s2+12s+32) be the Laplace transform of f(t). Find g(0), interpreted as the right-hand derivative of the ordinary…
- Question 43 – In the shown Einthoven frontal ECG triangle, augmented lead vectors bisect bipolar lead vectors. At the R-wave peak, cardiac vector M has magnitude 5…
- Question 44 – Which statement about axonal ATP requirement is true?
- Question 45 – The deltoid muscle holds the arm outstretched as shown. Arm weight W=30 N acts downward 30 cm horizontally from the shoulder joint. Muscle attachment…
- Question 46 – Which relation approximates arterial pulse-wave speed C in terms of inner diameter D, wall thickness t, wall elastic modulus E and fluid density ρ?
- Question 47 – A person has 5 L blood: 4 L in systemic circulation and 1 L in pulmonary circulation. Cardiac output is 5 L/min. Find the transit time for a drop of…
- Question 48 – Match the stress–strain curves X,Y,Z shown to the materials.
- Question 49 – Radionuclide P has half-life four times that of Q. At t=0 both have N₀ atoms. At what time do their activities become equal? Express the answer in…
- Question 50 – Six subjects have systolic pressures in mmHg [120,90,100,110,140,130] and corresponding heart weights in grams [500,300,420,390,490,450]. Find the…
- Question 51 – Using the divergence theorem, evaluate outward flux S F n\,dA across the closed surface of x2+y2 z2,0 z3, for F=4x i+3z j+5y k. Round to the nearest…
- Question 52 – Find the magnitude of current gain Iload/Iin in the shown dependent-source circuit, to two decimal places. Input resistors are 5 kΩ and 1 kΩ; the…
- Question 53 – A wire material has linear temperature coefficient x×10⁻⁴ °C⁻¹. Its resistance is 50 Ω at 25°C and 60 Ω at 75°C. Find x to two decimals.
- Question 54 – A series RLC circuit uses a 220 V,50 Hz supply. R and C are fixed and L is varied to maximize current. At the maximum, current is 0.4 A and capacitor…
- Question 55 – The shown saturation-biased MOSFET has Vth=0.5 V, W=100 μm, L=0.1 μm and μₙCox=100 μA/V². Gate bias is 0.7 V, drain bias 1.25 V, supply 2.5 V; drain…
- Question 56 – The shown PNP BJTs are biased with VEB=0.7 V. Neglect base currents in DC calculations and assume infinite transistor input and output impedance.…
- Question 57 – The shown ideal op-amp has infinite gain and bandwidth and ±10 V supplies. Inputs 0.1 V and 1 V connect via 1 kΩ to the inverting and non-inverting…
- Question 58 – Three independent sensor measurements (mean ± standard deviation) are 4.52±0.02 V, 4.21±0.20 V and 3.96±0.15 V. Find uncertainty of their sum in V to…
- Question 59 – A moving-coil voltmeter has internal resistance 50 Ω and 100 equal scale divisions. A 1 V input gives full-scale deflection of 100 divisions. What…
- Question 60 – A Hall-effect blood-flow meter uses magnetic field B, transverse voltage V and vessel diameter D to calculate flow. It reported 100 cm³/s. Calibration…
- Question 61 – The shown catheter pressure sensor uses a diaphragm with four identical Wheatstone-bridge gauges. Each has nominal resistance 10 kΩ, gauge factor 40…
- Question 62 – Breathing rate is 18/min, tidal volume 500 mL and anatomical dead space 150 mL. Heart rate is 120/min and stroke volume 50 mL. Find alveolar…
- Question 63 – Total blood volume in litres divided by body weight in kilograms is 0.07. Assume blood consists only of plasma and red cells. Find plasma volume in L…
- Question 64 – A first-generation CT scanner has a point source and detector translating together at 0.5 m/s. Each angular increment takes 0.5 s regardless of angle.…
- Question 65 – An acceptable chest radiograph is obtained at source distance 0.75 m using 50 kVp and 50 mAs. The subject moves to 1 m while kVp stays unchanged. Find…