How to practice year:2017

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–10 of 130. Imported answers require independent review unless marked reviewed.

Topic practice 130 questionsPage 1 of 13

Question 1

Open question
ME-1MCQ1 markNeeds review
The product of eigenvalues of the matrix

is
Your answerChoose one option.

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Question 1

Open question
ME-2NAT1 markNeeds review
Two coins are tossed simultaneously. The probability (upto two decimal points accuracy) of getting at least one head is ________.

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Question 2

Open question
ME-1MCQ1 markNeeds review
The value of

is
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Question 2

Open question
ME-2NAT1 markNeeds review
The divergence of the vector

is ________.

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Question 3

Open question
ME-1MCQ1 markNeeds review
Consider the following partial differential equation for

with the constant

:

Solution of this equation is
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Question 3

Open question
ME-2NAT1 markNeeds review
The determinant of a 2×2 matrix is 50. If one eigenvalue of the matrix is 10, the other eigenvalue is __________.

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Question 4

Open question
ME-1MCQ1 markNeeds review
The differential equation

for

with the two boundary conditions

and

has
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Question 4

Open question
ME-2MCQ1 markNeeds review
A sample of 15 data is as follows: 17, 18, 17, 17, 13, 18, 5, 5, 6, 7, 8, 9, 20, 17, 3. The mode of the data is
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Question 5

Open question
ME-1NAT1 markNeeds review
A six-face fair dice is rolled a large number of times. The mean value of the outcomes is ________

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Question 5

Open question
ME-2MCQ1 markNeeds review
The Laplace transform of

is
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