Chemical Engineering
GATE CH area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
How to practice area:engineering-mathematics
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 93. Imported answers require independent review unless marked reviewed.
Question 21
Open questionCHMCQ1 markNeeds review
A two-dimensional temperature profile is given as
. If
and
are the unit vectors along x and y directions, respectively, which one of the following is the directional derivative of T at the location
?Your answerChoose one option.
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Open questionCHMCQ1 markNeeds review
Which one of the following is the value of
?Your answerChoose one option.
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Open questionCHMCQ1 markNeeds review
Which one of the following is the pair of eigenvalues of the matrix
?Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 34
Open questionCHNAT1 markNeeds review
An experiment is performed by rolling an unbiased die once. Events A and B are defined as follows:
Event A: The outcome of the rolled die is a prime number.
Event B: The outcome of the rolled die is an odd number less than 4.
The conditional probability of A given B, denoted by P (A|B), is ______ (rounded off to one decimal place).
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Open questionCHNAT1 markNeeds review
Using single step trapezoid rule, the value of
is ______ (rounded off to two 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 answerQuestion 40
Open questionCHMCQ2 marksNeeds review
Consider the following complex numbers
where
are real numbers,
,
, and
If
, which one of the following conditions is necessarily CORRECT?Your answerChoose one option.
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Open questionCHMCQ2 marksNeeds review
Consider the following curve in polar coordinates.
Which one of the following is the area enclosed by the curve for
?Your answerChoose one option.
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Open questionCHNAT2 marksNeeds review
Consider a differential equation:
The value of y at x = 2 is ______ (rounded off to two decimal places).
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Open questionCHNAT2 marksNeeds review
The data given in the table are fitted to the equation
using the method of least squares. The value of m is _____ (rounded off to one decimal place). | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| 2 | 6 | 7 | 10 |
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 12
Open questionCHMCQ1 markNeeds review
Consider a Cartesian coordinate system defined over a 3-dimensional vector space with orthogonal unit basis vectors
and
. Let vector
, and vector
. The inner product of these vectors
isYour answerChoose one option.
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