Biomedical Engineering Gate 2024 Questions with Answer

Ques 53 GATE 2024


To solve the equation x=2 cos x using Newton-Raphson's method, which one of the following is CORRECT?

A

xn+1 = xn + (xn - 2cos(xn) / (1 + 2sin(xn)))

B

xn+1 = xn - (xn - 2cos(xn) / (1 + 2sin(xn)))

C

xn+1 = xn + (1 + 2sin(xn)) / (xn - 2cos(xn))

D

xn+1 = xn - (1 + 2sin(xn)) / (xn - 2cos(xn))


(b) is the correct answer.

Ques 54 GATE 2024


What is the value of the following integral using the residue integration method?

A

π/√2

B

π/2√2

C

π/4

D

π/2


(a) is the correct answer.

Ques 55 GATE 2024


For F ⃗=(x+y)i ̂+(x+y)j ̂ the value of ∮F ⃗⋅dr ⃗ along the path shown in the figure is _________. Give your answer as an integer.


(2) is the correct answer.

Ques 56 GATE 2024


If → denotes increasing order of intensity, then the meaning of the words [simmer → seethe → smolder] is analogous to [break → raze → _______]. Which one of the given options is appropriate to fill the blank?

A

obfuscate

B

obliterate

C

fracture

D

fissure


(b) is the correct answer.

Ques 57 GATE 2024


In a locality, the houses are numbered in the following way:
The house-numbers on one side of a road are consecutive odd integers starting from 301, while the house-numbers on the other side of the road are consecutive even numbers starting from 302. The total number of houses is the same on both sides of the road. (See image) If the difference of the sum of the house-numbers between the two sides of the road is 27, then the number of houses on each side of the road is

A

27

B

52

C

54

D

26


(a) is the correct answer.

Ques 58 GATE 2024


For positive integers p and q,  p/q≠1,(p/q)(p/q)=p((p/q)-1). Then

A

qp=pq.

B

√q=√p

C

q1/p=p1/q.

D

q1/p=p1/q.


(d) is the correct answer.

Ques 59 GATE 2024


Which one of the given options is a possible value of x in the following sequence?
3, 7, 15, x, 63, 127, 255

A

35

B

40

C

45

D

31


(d) is the correct answer.

Ques 60 GATE 2024


On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?

A

55

B

45

C

50

D

46


(c) is the correct answer.

Ques 61 GATE 2024


In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
From the ancient Athenian arena to the modern Olympic stadiums, athletics _____(i)______ the potential for a spectacle. The crowd _____(ii)_____ with bated breath as the Olympian artist twists his body, stretching the javelin behind him. Twelve strides in, he begins to cross-step. Six cross-steps _____(iii)______ in an abrupt stop on his left foot. As his body _____(iv)_____ like a door turning on a hinge, the javelin is launched skyward at a precise angle.

A

(i) hold (ii) waits (iii) culminates (iv) pivot

B

(i) holds (ii) wait (iii) culminates (iv) pivot

C

(i) hold (ii) wait (iii) culminate (iv) pivots

D

(i) holds (ii) waits (iii) culminate (iv) pivots


(d) is the correct answer.

Ques 62 GATE 2024


Three distinct sets of indistinguishable twins are to be seated at a circular table that has 8 identical chairs. Unique seating arrangements are defined by the relative positions of the people.
How many unique seating arrangements are possible such that each person is sitting next to their twin?

A

12

B

14

C

10

D

28


(c) is the correct answer.

Ques 63 GATE 2024


The chart given below compares the Installed Capacity (MW) of four power generation technologies, T1, T2, T3, and T4, and their Electricity Generation (MWh) in a time of 1000 hours (h).

Installed Capacity X Electricity Generation. The Capacity Factor of a power generation technology is:
Capacity Factor = Electricity Generation (MWh) / Installed Capacity (MW) x 1000 (h).
Which one of the given technologies has the highest Capacity Factor?

A

T1

B

T2

C

T3

D

T4


(d) is the correct answer.

Ques 64 GATE 2024


In the 4x4 array shown below, each cell of the first three columns has either a cross (X) or a number, as per the given rule.

Rule: The number in a cell represents the count of crosses around its immediate neighboring cells (left, right, top, bottom, diagonals).
As per this rule, the maximum number of crosses possible in the empty column is _______.

A

0

B

1

C

2

D

3


(c) is the correct answer.

Ques 65 GATE 2024


During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be 89.85°, the ratio of the Earth-Sun and Earth-Moon distances is closest to

A

328

B

382

C

238

D

283


(b) is the correct answer.

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