Biomedical Engineering Gate 2022 Questions with Answer

Ques 53 GATE 2022


Solution of the differential equation dy/dx-y=cos x is _______.

A

y = (sin x - cos x)/2 + cex

B

y = (sin x + cos x)/2 + cex

C

y = (sin x - cos x)/2 + ce⁻x

D

y = (sin x + cos x)/2 + ce⁻x


(a) is the correct answer.

Ques 54 GATE 2022


In a biological study, the experimental values measured from 6 subjects are given in the table below. Using this data, the linear regression coefficient for estimating the weight of the heart based on the systolic pressure is _______ (rounded off to two decimal places).


(3.27 to 3.31) is the correct answer.

Ques 55 GATE 2022


Using divergence theorem, evaluate the integral ∫∫SF⃗∙n⃗dA, where S is the surface of the cone x²+y² ≤ z², 0 ≤ z ≤ 3. If F⃗ = 4xî + 3zĵ + 5yk̂ is vector function with outer unit normal vector n⃗, the value of the integral is _______ (rounded off to the nearest integer).


(111 to 114) is the correct answer.

Ques 56 GATE 2022


Consider two radionuclides P and Q. Suppose the half-life of P (t1/2P) is four times that of Q (t1/2Q). At time t=0, there are N0 atoms of both radionuclides. When will the radioactivity of the two radionuclides be equal?

A

t = t1/2P

B

t = 0.66t1/2P

C

t = 0.75t1/2P

D

t = 1.5t1/2P


(b) is the correct answer.

Ques 57 GATE 2022


The linear temperature coefficient of the material of a wire is x × 10⁻⁴°C⁻¹. The resistance of this wire increased from 50 Ω at 25°C to 60 Ω at 75°C. The value of x is _______ (rounded off to two decimal places).


(44.35 to 44.55) is the correct answer.

Ques 58 GATE 2022


The _______ is too high for it to be considered _______.

A

fair/fare

B

faer/fair

C

fare/fare

D

fare/fair


(d) is the correct answer.

Ques 59 GATE 2022


Given below are four statements.
Statement 1: All students are inquisitive.
Statement 2: Some students are inquisitive.
Statement 3: No student is inquisitive.
Statement 4: Some students are not inquisitive.
From the given four statements, find the two statements that CANNOT BE TRUE simultaneously, assuming that there is at least one student in the class.

A

Statement 1 and Statement 3

B

Statement 1 and Statement 2

C

Statement 2 and Statement 4

D

Statement 3 and Statement 4


(a) is the correct answer.

Ques 60 GATE 2022


A palindrome is a word that reads the same forwards and backwards. In a game of words, a player has the following two plates painted with letters.

From the additional plates given in the options, which one of the combinations of additional plates would allow the player to construct a five-letter palindrome. The player should use all the five plates exactly once. The plates can be rotated in their plane.

A

B

C

D


(b) is the correct answer.

Ques 61 GATE 2022


Some people believe that "what gets measured, improves". Some others believe that "what gets measured, gets gamed". One possible reason for the difference in the beliefs is the work culture in organizations. In organizations with good work culture, metrics help improve outcomes. However, the same metrics are counterproductive in organizations with poor work culture.
Which one of the following is the CORRECT logical inference based on the information in the above passage?

A

Metrics are useful in organizations with poor work culture

B

Metrics are useful in organizations with good work culture

C

Metrics are always counterproductive in organizations with good work culture

D

Metrics are never useful in organizations with good work culture


(b) is the correct answer.

Ques 62 GATE 2022


In a recently conducted national entrance test, boys constituted 65% of those who appeared for the test. Girls constituted the remaining candidates and they accounted for 60% of the qualified candidates.
Which one of the following is the correct logical inference based on the information provided in the above passage?

A

Equal number of boys and girls qualified

B

Equal number of boys and girls appeared for the test

C

The number of boys who appeared for the test is less than the number of girls who appeared

D

The number of boys who qualified the test is less than the number of girls who qualified


(d) is the correct answer.

Ques 63 GATE 2022


The corners and mid-points of the sides of a triangle are named using the distinct letters P, Q, R, S, T and U, but not necessarily in the same order. Consider the following statements:
• The line joining P and R is parallel to the line joining Q and S.
• P is placed on the side opposite to the corner T.
• S and U cannot be placed on the same side.
Which one of the following statements is correct based on the above information?

A

P cannot be placed at a corner

B

S cannot be placed at a corner

C

U cannot be placed at a mid-point

D

R cannot be placed at a corner


(b) is the correct answer.

Ques 64 GATE 2022


A plot of land must be divided between four families. They want their individual plots to be similar in shape, not necessarily equal in area. The land has equally spaced poles, marked as dots in the below figure. Two ropes, R1 and R2, are already present and cannot be moved. What is the least number of additional straight ropes needed to create the desired plots?
A single rope can pass through three poles that are aligned in a straight line.

A

2

B

4

C

5

D

3


(d) is the correct answer.

Ques 65 GATE 2022


x(t) is a real continuous-time signal whose magnitude frequency response (|X(jω)|) is shown below. After sampling x(t) at 100 rad.s⁻¹, the spectral point P is down-converted to _______ rad.s⁻¹ in the spectrum of the sampled signal.

A

12.5

B

25

C

6.25

D

37.5


(d) is the correct answer.

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