List of top Questions asked in GATE BM

If \(A=\begin{pmatrix} 1 & -1 \\ 2 & -2 \end{pmatrix}\), the eigenvalues of A are _____

The end-diastolic ventricular volume is found to be 125 mL and the end-systolic ventricular volume is found to be 50 mL. If the heart rate is 65 beats/minute, what is the cardiac output in liters per minute? (Rounded off to 2 decimal places.)

The Larmor frequency of a Na nucleus when placed in a magnetic field strength of 3 T is _______. (The gyromagnetic ratio of Na is given as γ = 11.26 MHz/T.)
Give your answer in MHz rounded off to the nearest integer.

The measured current through a device is 5 A, the voltage measured across the device is 20 V. The ammeter and the voltmeter used for these measurements have a measurement uncertainty of 1% each. The maximum error in estimation of impedance of the device is ______ mΩ. Give your answer rounded to the nearest integer.

Which of the following waveforms represents the output V. of the circuit given below? The Zener diode used has a Zener breakdown voltage of 1 V and can be assumed ideal while in forward bias.

A group of four people were residing together when a new virus was detected. If the probability of each person being infected is 0.1, then the probability that at least two of them are infected is ________. Give your answer rounded off to 3 decimal places.

A random noise signal with Gaussian distribution has a mean of zero and a standard deviation of 1 mV. The probability that an instantaneous measurement of this signal is greater than 2 mV or lesser than -2 mV is ________.
Give your answer as a percentage rounded off to the nearest integer.

Match the different chambers/locations of a healthy human heart in Column-1 to the ranges of diastolic pressures in Column-2.

Column-1		Column-2
(P)	Arterial	(I)	2-6 mm Hg
(Q)	Pulmonary artery	(II)	8-12 mm Hg
(R)	Right ventricle	(III)	60-80 mm Hg

The input x(t) and the output y(t) of a linear time invariant system are related as follows :
\(y(t)+\frac{dy(t)}{dt}+0.5\frac{d^2y(t)}{dt^2}=x(t)+0.1\frac{dx(t)}{dt}\)
What is the Laplace transform of the impulse response of the system ?

The trigonometric Fourier series expansion of the periodic function in the figure has coefficients {a_n} and {b_n} for cosine and sine terms, respectively. The value of a₁/a₃ is ________.Give your answer rounded off to 1 decimal place.

Which of the following is/are NOT TRUE about photoreceptor cells in a healthy human retina ?

The Bode plot of a 2^nd order low pass filter is shown in the figure below. What is the frequency at which the attenuation is 80 dB ?

The Fourier transform of e^-|2t| is ________.

Consider the following layers: subcutaneous fat, viable epidermis, stratum corneum, and dermis. Which one of the following represents the correct sequence of the layers from skin surface to within ?

During the repolarization phase of a neuron, the cell is brought back to the resting potential by the action of a Sodium-Potassium pump. Which one of the following statements is TRUE for the active transport of Na⁺ and K⁺ ions through the cell membrane ?

Macrophages that are resident in the liver are ________.

The cardiac rhythm in a healthy human heart originates from ______.

The circuit shown in the figure functions as which one of the following digital circuit blocks ?

To solve the equation x = 2 cos x using Newton-Raphson's method, which one of the following iterations should be used ?

Which one of the following events is NOT typically encountered in diagnostic X-ray projection radiography ?

What is the value of the following complex line integral counter-clockwise ?
\(\oint_{|z|=3}\frac{8}{z(z-2)(z-4)}dz\)