Biomedical Eng. Gate Yearwise 


Biomedical Engineering GATE 2023 Questions with Answer

Ques 53 General Aptitude

In a class of 100 students,
i) there are 30 students who neither like romantic movies nor comedy movies,
ii) the number of students who like romantic movies is twice the number of students who like comedy movies, and
iii) the number of students who like both romantic movies and comedy movies is 20.
How many students in the class like romantic movies?

A

40

B

20

C

60

D

30


Ques 54 General Aptitude

How many rectangles are present in the given figure?

A

8

B

9

C

10

D

12


Ques 55 General Aptitude

Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by animals all of whom are ferocious. There are also creatures that have claws, and some that do not. All creatures that have claws are ferocious.
Based only on the information provided above, which one of the following options can be logically inferred with certainty?

A

All creatures with claws are animals.

B

Some creatures with claws are non-ferocious.

C

Some non-ferocious creatures have claws.

D

Some ferocious creatures are creatures with claws.


Ques 56 General Aptitude

Which one of the following options can be inferred from the given passage alone?
When I was a kid, I was partial to stories about other worlds and interplanetary travel. I used to imagine that I could just gaze off into space and be whisked to another planet.
[Excerpt from The Truth about Stories by T. King]

A

It is a child's description of what he or she likes.

B

It is an adult's memory of what he or she liked as a child.

C

The child in the passage read stories about interplanetary travel only in parts.

D

It teaches us that stories are good for children.


Ques 57 General Aptitude

Out of 1000 individuals in a town, 100 unidentified individuals are covid positive. Due to lack of adequate covid-testing kits, the health authorities of the town devised a strategy to identify these covid-positive individuals. The strategy is to:
(i) Collect saliva samples from all 1000 individuals and randomly group them into sets of 5.
(ii) Mix the samples within each set and test the mixed sample for covid.
(iii) If the test done in (ii) gives a negative result, then declare all the 5 individuals to be covid negative.
(iv) If the test done in (ii) gives a positive result, then all the 5 individuals are separately tested for covid.
Given this strategy, no more than _______ testing kits will be required to identify all the 100 covid positive individuals irrespective of how they are grouped.

A

700

B

600

C

800

D

1000


Ques 58 General Aptitude

A 100 cm x 32 cm rectangular sheet is folded 5 times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually, the folded sheet is a rectangle of dimensions 100 cm x 1 cm.
The total number of creases visible when the sheet is unfolded is _______.

A

32

B

5

C

31

D

63


Ques 59 Signal Processing

A finite impulse response (FIR) filter has only two non-zero samples in its impulse response h[n], namely h=h=1. The Discrete Time Fourier Transform (DTFT) of h[n] equals H(ejω), as a function of the normalized angular frequency ω. For the range |ω|≤π, |H(ejω)| is equal to

A

2|cos(ω)|

B

2|sin(ω)|

C

2|cos(ω/2)|

D

2|sin(ω/2)|


Ques 60 Signal Processing

A causal, discrete time system is described by the difference equation
y[n]=0.5 y[n-1]+x[n], for all n,
where y[n] denotes the output sequence and x[n] denotes the input sequence. Which of the following statements is/are TRUE?

A

The system has an impulse response described by 0.5^n u[-n] where u[n] is the unit step sequence.

B

The system is stable in the bounded input, bounded output sense.

C

The system has an infinite number of non-zero samples in its impulse response.

D

The system has a finite number of non-zero samples in its impulse response.


Ques 61 Signal Processing

A continuous time, band limited signal x(t) has its Fourier transform described by:

The signal is uniformly sampled at a sampling rate of 600 Hz. The Fourier transform of the sampled signal is Xs(f). What is the value of Xs(600)/Xs(500)? (Round off the answer to one decimal place.)


Ques 62 Signal Processing

The Laplace transform of x1(t)=e-tu(t) is X1(s), where u(t) is the unit step function. The Laplace transform of x2(t)=etu(-t) is X2(s). Which one of the following statements is TRUE?

A

The region of convergence of X1(s) is Re(s)>0.

B

The region of convergence of X2(s) is confined to the left half-plane of S.

C

The region of convergence of X1(s) is confined to the right half-plane of S.

D

The imaginary axis in the S-plane is included in both the region of convergence of X1(s) and the region of convergence of X2(s).


Ques 63 Signal Processing

Two sequences x1[n] and x2[n] are described as follows:
x1=x2=1,
x1=x2=2,
x1=x2=1,
x1[n]=x2[n]=0 for all n<0 and n>2.
If x[n] is obtained by convolving x1[n] with x2[n], which of the following equations is/are TRUE?

A

x=x

B

x=2

C

x=3

D

x=5


Ques 64 Signal Processing

The continuous time signal x(t) is described by

If y(t) represents x(t) convolved with itself, which of the following statements is/are TRUE?

A

y(t)=0 for all t<0

B

y(t)=0 for all t>1

C

y(t)=0 for all t>3

D

∫0.10.75(dy(t)/dt)dt≠0


Ques 65 Signal Processing

A system is described by the following differential equation
0.01(d2y(t)/dt2)+0.2(dy(t)/dt)+y(t)=6x(t),
where time (t) is in seconds. If x(t) is the unit step input applied at t=0 s to this system, the magnitude of the output at t=1 s is _______. (Round off the answer to two decimal places.)


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