GATE BT area:engineering-mathematics PYQs & Answers — Page 2

Home
GATE
Biotechnology
Topics
area:engineering-mathematics

Questions 11–20 of 88. Imported answers require independent review unless marked reviewed.

Topic practice 88 questionsPage 2 of 9

From the following plot of

versus

and if y(2) = 5, the value of y(3) is ______. (rounded off to one decimal place)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

be a bacterial population whose growth is given by

where

is the growth rate constant. If

and

, then the value of

Your answerChoose one option.

ln 2

ln 3

ln 4

ln 6

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The minimum value of the function

for

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider a nonlinear algebraic equation,

. Using the Newton-Raphson method, with the initial guess of

, the approximated value of the root of the equation after one iteration is _____ .

(Round off to two decimal places)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The value of

, for which the linear equations

and

have at least one solution, is ____________.

(Answer in integer)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Two fair six-sided dice, with sides numbered 1 to 6, are thrown once. The probability of getting 7 as the sum of the numbers on the top side of the dice is ______________.

(Round off to two decimal places)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

and

be fixed real numbers. If the function

is a solution of

for any constants

and

, then

is equal to

Your answerChoose one option.

-2

-1

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

If the function

where

and

are constants, is differentiable at

, then

is equal to

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

and define

for all positive integers

. The least value of

for which

is _____.

(Answer in integer)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

. If the eigenvalues of

are −2, 1, and 2, then the value of

is _____________.

(Answer in integer)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE BT area:engineering-mathematics PYQs

Question 58

Question 13

Question 14

Question 33

Question 34

Question 35

Question 45

Question 46

Question 59

Question 63