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Previous year question hub

Calculus - Engineering Mathematics - Mechanical Engineering Previous Year Questions

Practice Calculus - Engineering Mathematics - Mechanical Engineering previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

28Papers
18Years
95Questions
1Topics

Calculus question pattern

Every graph below is calculated only from this selection.

Questions by year

Compare question counts across years.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 78 82.1%
Medium 17 17.9%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 81 85.3%
Numerical Answer Type (NAT) 13 13.7%
MSQ 1 1.1%

Subject weightage

Top subjects by unique question coverage.

Mechanical Engineering
95 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
95 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Calculus
95 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Mechanical Engineering (ME) 2026
1 Qs
Mechanical Engineering (ME) 2025
3 Qs
Mechanical Engineering (ME) 2024
3 Qs
Mechanical Engineering (ME) 2023
4 Qs
Mechanical Engineering (ME) 2021 [Session 1]
3 Qs
Mechanical Engineering (ME) 2020 [Session 1]
3 Qs
Mechanical Engineering (ME) 2020 [Session 2]
2 Qs
Mechanical Engineering (ME) 2019 [Session 1]
2 Qs
Mechanical Engineering (ME) 2019 [Session 2]
1 Qs
Mechanical Engineering (ME) 2018 [Session 1]
3 Qs
Mechanical Engineering (ME) 2018 [Session 2]
1 Qs
Mechanical Engineering (ME) 2017 [Session 2]
3 Qs
Mechanical Engineering (ME) 2016 [Session 3]
5 Qs
Mechanical Engineering (ME) 2016 [Session 2]
2 Qs
Mechanical Engineering (ME) 2016 [Session 1]
1 Qs
Mechanical Engineering (ME) 2015 [Session 2]
2 Qs
Mechanical Engineering (ME) 2014 [Session 1]
2 Qs
Mechanical Engineering (ME) 2014 [Session 3]
2 Qs
Mechanical Engineering (ME) 2014 [Session 4]
2 Qs
Mechanical Engineering (ME) 2013 [Session 1]
6 Qs
Mechanical Engineering (ME) 2013 [Session 2]
5 Qs
Mechanical Engineering (ME) 2013 [Session 3]
5 Qs
Mechanical Engineering (ME) 2013 [Session 4]
4 Qs
Mechanical Engineering (ME) 2011
7 Qs
Mechanical Engineering (ME) 2010
5 Qs
Mechanical Engineering (ME) 2009
5 Qs
Mechanical Engineering (ME) 2008
8 Qs
Mechanical Engineering (ME) 2007
5 Qs

Included previous year papers

Newest papers appear first. Search these papers or sort by year and name.

Paper nameYearPDFAttempt
Mechanical Engineering (ME) 20262026
1 questions in this view		2026
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20252025
3 questions in this view		2025
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20242024
3 questions in this view		2024
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20232023
4 questions in this view		2023
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2021 [Session 1]2021
3 questions in this view		2021
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2020 [Session 1]2020
3 questions in this view		2020
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2020 [Session 2]2020
2 questions in this view		2020
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2019 [Session 1]2019
2 questions in this view		2019
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2019 [Session 2]2019
1 questions in this view		2019
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2018 [Session 1]2018
3 questions in this view		2018
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2018 [Session 2]2018
1 questions in this view		2018
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2017 [Session 2]2017
3 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2016 [Session 1]2016
1 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2016 [Session 2]2016
2 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2016 [Session 3]2016
5 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2015 [Session 2]2015
2 questions in this view		2015
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2014 [Session 1]2014
2 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2014 [Session 3]2014
2 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2014 [Session 4]2014
2 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2013 [Session 1]2013
6 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2013 [Session 2]2013
5 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2013 [Session 3]2013
5 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 2013 [Session 4]2013
4 questions in this view		2013
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20112011
7 questions in this view		2011
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20102010
5 questions in this view		2010
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20092009
5 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20082008
8 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Mechanical Engineering (ME) 20072007
5 questions in this view		2007
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download

All Calculus previous year questions

Practice every matching question in batches of 20, with every available option.

1
2007 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2007
The minimum value of function \( y = x^2 \) in the interval \( [1,5] \) is
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2
2007 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2007
If \( y = x + \sqrt{x + \sqrt{x + \cdots}} \), then \( y(2) = \)
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3
2007 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2007
The area of a triangle formed by the tips of vectors \( \bar{a} \), \( \bar{b} \) and \( \bar{c} \) is
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4
2007 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2007
If \( F(s) \) is the Laplace transform of function \( f(t) \), then Laplace transform of \( \int_{0}^{t} f(\tau) d\tau \) is
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5
2007 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2007
\( \lim_{x \to 0} \frac{e^x - \left(1 + x + \frac{x^2}{2}\right)}{x^3} = \)
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6
2008 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2008
In the Taylor series expansion of \(e^x\) about \(x = 2\), the coefficient of \((x-2)^4\) is
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7
2008 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2008
The value of \(\lim_{x \to 8} \frac{x^{1/3} - 2}{x - 8}\) is
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8
2008 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2008
The divergence of the vector field \((x-y)\hat{i} + (y-x)\hat{j} + (x+y+z)\hat{k}\) is
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9
2008 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2008
Consider the shaded triangular region P shown in the figure. What is \(\iint_P xy \, dx \, dy\) ?
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10
2008 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2008
The directional derivative of the scalar function \(f(x, y, z) = x^2 + 2y^2 + z\) at the point P = (1, 1, 2) in the direction of the vector \(\vec{a} = 3\hat{i} - 4\hat{j}\) is
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11
2008 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2008

Which of the following integrals is unbounded?

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12
2008 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2008
The length of the curve \(y = \frac{2}{3} x^{3/2}\) between \(x = 0\) and \(x = 1\) is
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13
2008 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2008
Let \(f = y^x\). What is \(\frac{\partial^2 f}{\partial x \partial y}\) at \(x = 2, y = 1\)?
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14
2009 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2009
The divergence of the vector field \( 3xz \hat{i} + 2xy \hat{j} - yz^2 \hat{k} \) at a point (1,1,1) is equal to
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15
2009 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2009
The inverse Laplace transform of \( \frac{1}{(s^2 + s)} \) is
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16
2009 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2009
A path AB in the form of one quarter of a circle of unit radius is shown in the figure. Integration of \((x + y)^2\) on path AB traversed in a counter-clockwise sense is
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17
2009 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2009
The distance between the origin and the point nearest to it on the surface \(z^2 = 1 + xy\) is
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18
2009 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2009
The area enclosed between the curves \(y^2 = 4x\) and \(x^2 = 4y\) is
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19
2010 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2010
The parabolic arc \( y = \sqrt{x} \), \( 1 \le x \le 2 \) is revolved around the x-axis. The volume of the solid of revolution is
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20
2010 · Mechanical Engineering · Engineering Mathematics · Calculus
Mechanical Engineering (ME) 2010
The value of the integral \( \int_{-\pi}^{\pi} \frac{dx}{1 + x^2} \) is
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Showing 20 of 90 questions