GATE ES area:engineering-mathematics PYQs & Answers — Page 4

Questions 31–40 of 57. Imported answers require independent review unless marked reviewed.

Topic practice 57 questionsPage 4 of 6

Which one of the following options represents the given graph?

Diagram for Environmental Science and Engineering question 7

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

Given are two ordinary differential equations

The correct choice is

Your answerChoose one option.

P is linear; Q is nonlinear

P is nonlinear; Q is linear

Both P and Q are linear

Both P and Q are nonlinear

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

P and Q are square matrices. Consider the following

Y: Symmetric if

The correct choice is

Your answerChoose one option.

X is TRUE; Y is FALSE

X is FALSE; Y is TRUE

Both X and Y are TRUE

Both X and Y are FALSE

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

Given are two infinite series

The correct choice is

Your answerChoose one option.

P is convergent series; Q is divergent series

P is divergent series; Q is convergent series

Both P and Q are convergent series

Both P and Q are divergent series

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

A researcher compiled the following information about the performance of a kit in an outbreak

Infection state | Kit response Disease (probability = 0.002) | Positive response (probability = 0.98) No Disease | Positive response (probability = 0.03)

The probability of detecting an infection for a positive result through the kit would be _____________ (rounded off to three 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

is __________ (rounded 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

W₁, W₂, W₃...W₉ represent the holding times of 9 water samples, which follow a normal distribution with mean = 8.33 and standard deviation = 4.472. M represents the sample mean value of holding times, which also has a normal distribution. Assuming Z has a standard normal distribution (mean = 0 and standard deviation = 1), select the correct statement which describes the expression for calculating the value of type 1 error where

null hypothesis (H₀): M > 6

alternate hypothesis (Hₐ): M ≤ 6

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

Second order ordinary differential equation

has values

and

. The value of y at x=1 is __________________ (rounded off to three decimal places).

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

Consider two matrices

and

. If

then det R is __________________ (in integer).

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

For the function

, the maximum value in the range

is __________________ (rounded 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

GATE ES area:engineering-mathematics PYQs

Question 7

Question 11

Question 12

Question 13

Question 30

Question 33

Question 36

Question 47

Question 48

Question 49