Biotechnology
GATE BT area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 51–60 of 88. Imported answers require independent review unless marked reviewed.
Question 21
Open questionBTNAT1 markNeeds review
Three balls, colored in blue, green and red, are successively transferred from box
to box
in the order BLUE-GREEN-RED. The probability of a reverse transfer of the balls to the box
in the same order (rounded off to two decimal places) is ________.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 23
Open questionBTNAT1 markNeeds review
The value of
(rounded off to two decimal places) is ________.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 43
Open questionBTNAT2 marksNeeds review
If the values of two random variables
are (121, 360), (242, 364) and (363, 362), the value of correlation coefficient between X and Y (rounded off to one decimal place) is _____.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 44
Open questionBTNAT2 marksNeeds review
The determinant of matrix
is _____.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 49
Open questionBTNAT2 marksNeeds review
Calculate the following integral:
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 9
Open questionGAMCQ2 marksNeeds review
For a matrix
;
, the diagonal elements are all zero and
. The minimum number of elements required to fully specify the matrix is _____.Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 17
Open questionBTNAT1 markNeeds review
A function
is as follows:
The function
is a continuous function when
is equal to ____________ (answer is an integer).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 18
Open questionBTNAT1 markNeeds review
Given that
, the value of
for X = 1 and Y = 0 is ____________ (answer is an integer).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 23
Open questionBTNAT1 markNeeds review
The largest eigenvalue of the matrix
is ____________.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 24
Open questionBTNAT1 markNeeds review
A normal random variable has mean equal to 0, and standard deviation equal to 3. The probability that on a random draw the value of this random variable is greater than 0 is ____________ (round off to 2 decimal places).
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer