Biomedical Engineering Gate 2020 Questions with Answer

Ques 40 GATE 2020


The following recursion relation, when started from a finite positive non-zero value, converges to _______.
xn+1 = (1/2)(xn+(1/xn))


(1 to 1) is the correct answer.

Ques 41 GATE 2020


A continuous random variable x has a probability density function given by f(x) = e⁻α|x| (-∞ < x < ∞) where α is a real constant. The variance of x is _______ (correct up to one decimal place).


(0.5 to 0.5) is the correct answer.

Ques 42 GATE 2020


The magnitude of the gradient of the function f(x, y) = x² + y² at the point (1, 1) is _______ (rounded off to two decimal places).


(2.8 to 2.9) is the correct answer.

Ques 43 GATE 2020


The value of following double integral is _______ (correct up to three decimal places).
∫∫Rxy dxdy
where R is the first quadrant of the circle with center at the origin and radius of one unit.


(0.125 to 0.125) is the correct answer.

Ques 44 GATE 2020


A gynaecologist recorded the blood pressure (BP) of patients as shown in the Table below. Using Regression process, the diastolic BP of a 38 year old patient (mm Hg) is _______ (rounded off to two decimal places).


(86.5 to 87.7) is the correct answer.

Ques 45 GATE 2020


The wavelength of an electron accelerated to a potential of 1V is _______ nm (rounded off to two decimal places).
Mass of electron = 9.11 × 10⁻³¹ kg, Planck's constant, h = 6.63 × 10⁻³⁴ Js, Charge of electron = 1.6 × 10⁻¹⁹ C


(1.20 to 1.25) is the correct answer.

Ques 46 GATE 2020


Rajiv Gandhi Khel Ratna Award was conferred _______ Mary Kom, a six-time world champion in boxing, recently in a ceremony _______ the Rashtrapati Bhawan (the President's official residence) in New Delhi.

A

with, at

B

on, in

C

on, at

D

to, at


(d) is the correct answer.

Ques 47 GATE 2020


Despite a string of poor performances, the chances of K. L. Rahul's selection in the team are

A

slim

B

bright

C

obvious

D

uncertain


(b) is the correct answer.

Ques 48 GATE 2020


Select the word that fits the analogy:
Cover: Uncover:: Associate:

A

Unassociate

B

Inassociate

C

Misassociate

D

Dissociate


(d) is the correct answer.

Ques 49 GATE 2020


Hit by floods, the kharif (summer sown) crops in various parts of the country have been affected. Officials believe that the loss in production of the kharif crops can be recovered in the output of the rabi (winter sown) crops so that the country can achieve its food-grain production target of 291 million tons in the crop year 2019-20 (July-June). They are hopeful that good rains in July-August will help the soil retain moisture for a longer period, helping winter sown crops such as wheat and pulses during the November-February period.
Which of the following statements can be inferred from the given passage?

A

Officials declared that the food-grain production target will be met due to good rains.

B

Officials want the food-grain production target to be met by the November-February period.

C

Officials feel that the food-grain production target cannot be met due to floods.

D

Officials hope that the food-grain production target will be met due to a good rabi produce.


(d) is the correct answer.

Ques 50 GATE 2020


Repo rate is the rate at which Reserve Bank of India (RBI) lends commercial banks, and reverse repo rate is the rate at which RBI borrows money from commercial banks. Which of the following statements can be inferred from the above passage?

A

Decrease in repo rate will increase cost of borrowing and decrease lending by commercial banks.

B

Increase in repo rate will decrease cost of borrowing and increase lending by commercial banks.

C

Increase in repo rate will decrease cost of borrowing and decrease lending by commercial banks.

D

Decrease in repo rate will decrease cost of borrowing and increase lending by commercial banks.


(d) is the correct answer.

Ques 51 GATE 2020


P, Q, R, S, T, U, V, and W are seated around a circular table.
I. S is seated opposite to W.
II. U is seated at the second place to the right of R.
III. T is seated at the third place to the left of R.
IV. V is a neighbour of S.
Which of the following must be true?

A

P is a neighbour of R.

B

Q is a neighbour of R.

C

P is not seated opposite to Q.

D

R is the left neighbour of S.


(c) is the correct answer.

Ques 52 GATE 2020


The distance between Delhi and Agra is 233 km. A car P started travelling from Delhi to Agra and another car Q started from Agra to Delhi along the same road 1 hour after the car P started. The two cars crossed each other 75 minutes after the car P started. Both cars were travelling at constant speed. The speed of car P was 10 km/hr more than the speed of car Q. How many kilometers the car Q had travelled when the cars crossed each other?

A

66.6

B

75.2

C

88.2

D

116.5


(b) is the correct answer.

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