Biomedical Engineering Gate 2021 Questions with Answer

Ques 40 GATE 2021


A drug manufacturer believes that there is a 95% chance that the drug controller will approve a new drug the company plans to distribute if the results of the current testing show that the drug causes no side effects. The manufacturer further believes that there is a 0.50 probability that the drug will be approved even if the test shows side effects. A physician working for the drug manufacturer believes there is a 0.20 probability that tests will show side effects. If the drug is approved by the drug controller, the probability that the drug causes side effects is _______ (rounded off to three decimal places).


(0.111 to 0.121) is the correct answer.

Ques 41 GATE 2021


In a measurement process, groups A and B recorded 10 and 15 values, respectively. The arithmetic means and standard deviations of group A are μA = 35, σA = 0.4 and group B are μB = 38, σB = 0.6, respectively. The standard deviation for the combined set of group A and group B measurements is _______ (rounded off to two decimal places).


(1.54 to 1.58) is the correct answer.

Ques 42 GATE 2021


The radioactivity of a radionuclide with decay constant of 3.22 × 10⁻⁵ s⁻¹ is 6 mCi at 10:30 AM. The radioactivity of the radionuclide at 4:30 PM on the same day will be _______ mCi. (rounded off to two decimal places)


(2.96 to 3.02) is the correct answer.

Ques 43 GATE 2021


In a radioactive isotope, N nuclei are needed to produce radioactivity level of 2 mCi. Assuming decay constant of 3.22 × 10⁻⁵ s⁻¹ and atomic weight of 98 g/mol and Avogadro's number = 6.02 × 10²³ mol⁻¹, the mass of N radionuclide is _______ picograms. (rounded off to the nearest integer)


(372 to 376) is the correct answer.

Ques 44 GATE 2021


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

A

(i) and (ii)

B

(i) and (iv)

C

(ii) and (iv)

D

(iii) and (iv)


(b) is the correct answer.

Ques 45 GATE 2021


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

A

B

C

D


(b) is the correct answer.

Ques 46 GATE 2021


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 _______.

A

3

B

4

C

5

D

6


(c) is the correct answer.

Ques 47 GATE 2021


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?

A

The author is of the opinion that rehearsing is important for musicians, actors and public speakers.

B

The author is of the opinion that rehearsing is less important for public speakers than for musicians and actors.

C

The author is of the opinion that rehearsing is more important only for musicians than public speakers.

D

The author is of the opinion that rehearsal is more important for actors than musicians.


(a) is the correct answer.

Ques 48 GATE 2021


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

A

No football player plays hockey.

B

Some football players play hockey.

C

All football players play hockey.

D

All hockey players play football.


(b) is the correct answer.

Ques 49 GATE 2021


Which of the following displacement sensors is known to have a high sensitivity and a relatively larger measurement range?

A

Strain gauge

B

Capacitive sensor

C

LVDT

D

Piezoelectric sensor


(c) is the correct answer.

Ques 50 GATE 2021


Which of the following temperature sensors is used in contact-type digital thermometers for measuring body temperature?

A

Thermocouple

B

Thermistor

C

Resistance temperature detector

D

Infrared LED-photodetector pair


(b) is the correct answer.

Ques 51 GATE 2021


Let X(jω) denote the Fourier transform of x(t). If X(jω) = 10e⁻jπf(sin(πf)/(πf)), (where ω = 2πf), then (1/2π)∫-∞X(jω)dω = _______.

A

10π

B

100

C

10

D

20π


(c) is the correct answer.

Ques 52 GATE 2021


In the block diagram shown below, an analog signal, VIN = sin(2π10⁶t) is quantized by a 10-bit Nyquist ADC. Later, 4 LSBs are dropped and 6 MSBs are converted to an analog signal (VOUT) while using a 6-bit DAC. Assume uniform distribution for the quantization noise. The peak SQNR at the output of DAC is _______ dB.

A

61.96

B

25.84

C

49.92

D

37.88


(d) is the correct answer.

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