List of top Questions asked in GATE BM

Which of the following statements related to the operating principle of pulse oximetry are CORRECT?

In the circuit diagram shown below, the logic gates operate with a supply voltage of 1 V. NAND and XNOR have 200 ps and 400 ps input-to-output delay, respectively.
At time $ t = T $, $ A(t) = 0 $, $ B(t) = 1 $ and $ Z(t) = 0 $. When the inputs are changed to $ A(t) = 1 $, $ B(t) = 0 $ at $ t = 2T $, a 1 V pulse is observed at $ Z $. The pulse width of the 1 V pulse is _________ ps.

Input bits X and Y are added by using the combinational logic as shown below. S represents the sum of the two bits. For a correct implementation of the sum, the signals $D_0, D_1, D_2, D_3$ are _________, respectively.

For the balanced Owen-bridge circuit shown in the figure, the values of $L_x$ and $R_x$ are:

Myopia occurs when the focal point falls _________ the retina. This can be corrected using a _________ lens.

Choose the correct sequence for the direction of blood flow in a healthy human being starting and ending with the left ventricle.

In a healthy adult, which one of the following regions of the brain contains primarily white matter?

Evaluation of the integral \[ \int \frac{dx}{\sqrt{2x - x^2}} \] results in

If $\vec{V} = a\hat{i} + b\hat{j} + c\hat{k}$, identify the INVALID operation on $\vec{V}$.

$x(t)$ is a real continuous-time signal whose magnitude frequency response ($|X(j\omega)|$) is shown below. After sampling $x(t)$ at $100\ \text{rad s}^{-1}$, the spectral point P is down-converted to _________ rad·s$^{-1}$ in the spectrum of the sampled signal.

Discrete signals $ x[n] $ and $ y[n] $ are shown below. The cross-correlation $ r_{xy}[0] $ is _________

In an equilateral triangle PQR, side PQ is divided into four equal parts, side QR is divided into six equal parts and side PR is divided into eight equal parts. The length of each subdivided part in cm is an integer. The minimum area of the triangle PQR possible, in cm², is

1. Some football players play cricket.
2. All cricket players play hockey.
Among the options given below, the statement that logically follows from the two statements 1 and 2 above, is:

In the figure shown above, PQRS is a square. The shaded portion is formed by the intersection of sectors of circles with radius equal to the side of the square and centers at S and Q. The probability that any point picked randomly within the square falls in the shaded area is

The author said, "Musicians rehearse before their concerts. Actors rehearse their roles before the opening of a new play. On the other hand, I find it strange that many public speakers think they can just walk on to the stage and start speaking. In my opinion, it is no less important for public speakers to rehearse their talks." Based on the above passage, which one of the following is TRUE?

On a planar field, you travelled 3 units East from a point O. Next you travelled 4 units South to arrive at point P. Then you travelled from P in the North-East direction such that you arrive at a point that is 6 units East of point O. Next, you travelled in the North-West direction, so that you arrive at point Q that is 8 units North of point P. The distance of point Q to point O, in the same units, should be $\underline{\hspace{2cm}}$

Four persons P, Q, R, and S are to be seated in a row. R should not be seated at the second position from the left end of the row. The number of distinct seating arrangements possible is:

$ \oplus $ and $ \odot $ are two operators on numbers $ p $ and $ q $ such that
$ p \odot q = p - q$ and $p \oplus q = p \times q. $
Then, $ (9 \odot (6 \oplus 7)) \odot (7 \oplus (6 \odot 5)) = ? $

Two identical cube shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled on each die is:

The mirror image of the above text about the x-axis is

Which of the following sentences are grammatically correct?
(i) Arun and Aparna are here.
(ii) Arun and Aparna is here.
(iii) Arun's families is here.
(iv) Arun's family is here.

In the circuit given below, $V_s = 50\ \text{V}$. Let the circuit reach steady state for the SPDT switch at position 1. Once the circuit is switched to position 2, the energy dissipated in the resistors is $\underline{\hspace{1cm}}$ J (rounded off to one decimal place).

In the circuit shown below, the output voltage $V_{out}$ is $\underline{\hspace{1cm}}$ V.

In the circuit shown below, $ R_1 = 2 \, \Omega $, $ R_2 = 1 \, \Omega $, $ L_1 = 2 \, H $, and $ L_2 = 0.5 \, H $. Which of the following describe(s) the characteristics of the circuit?

A novel biomaterial was tested for its tensile properties. The experiment was conducted using a cylindrical sample of this material, which was 10 cm long with 1 cm diameter. When a tensile force of 50 kN was applied, this cylindrical sample elongated by 4 mm. Based on the experimental results described above and the tensile moduli of different tissues given in the table below, this biomaterial would be a suitable replacement for $\underline{\hspace{2cm}}$.
\[\begin{array}{|c|c|} \hline \textbf{Tissue} & \textbf{Tensile modulus} \\ \hline \text{Bone} & \text{5 – 20 GPa} \\ \hline \text{Tendon} & \text{0.5 – 1 GPa} \\ \hline \text{Ligament} & \text{20 – 400 MPa} \\ \hline \text{Articular cartilage} & \text{3 – 10 MPa} \\ \hline \end{array}\]