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Previous year question hub

Engineering Mathematics - Production & Industrial Engineering Previous Year Questions

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

22Papers
20Years
332Questions
1Topics

Engineering Mathematics 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 285 85.8%
Medium 47 14.2%

Question type distribution

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

MCQ 269 81%
Numerical Answer Type (NAT) 60 18.1%
MSQ 3 0.9%

Subject weightage

Top subjects by unique question coverage.

Production & Industrial Engineering
332 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
332 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Calculus
143 Qs
Probability and Statistics
68 Qs
Linear Algebra
57 Qs
Differential Equations
34 Qs
Numerical Methods
30 Qs

Paper coverage

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

Production and Industrial Engineering (PI) 2026
7 Qs
Production & Industrial Engineering (PI) 2025
11 Qs
Production & Industrial Engineering (PI) 2024
10 Qs
Production & Industrial Engineering (PI) 2023
13 Qs
Production & Industrial Engineering (PI) 2022
12 Qs
Production & Industrial Engineering (PI) 2021
9 Qs
Production & Industrial Engineering (PI) 2020
12 Qs
Production & Industrial Engineering (PI) 2019
16 Qs
Production & Industrial Engineering (PI) 2018
12 Qs
Production & Industrial Engineering (PI) 2017
10 Qs
Production & Industrial Engineering (PI) 2016
11 Qs
Production & Industrial Engineering (PI) 2015
3 Qs
Production & Industrial Engineering (PI) 2014
12 Qs
Production & Industrial Engineering (PI) 2013 [Session 1]
16 Qs
Production & Industrial Engineering (PI) 2013 [Session 2]
16 Qs
Production & Industrial Engineering (PI) 2013 [Session 4]
16 Qs
Production & Industrial Engineering (PI) 2012
16 Qs
Production & Industrial Engineering (PI) 2011
20 Qs
Production & Industrial Engineering (PI) 2010
22 Qs
Production & Industrial Engineering (PI) 2009
21 Qs
Production & Industrial Engineering (PI) 2008
32 Qs
Production & Industrial Engineering (PI) 2007
35 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Calculus

Explore previous-paper coverage, trends and focused practice for Calculus.

143 questions21 papers19 years

Probability and Statistics

Explore previous-paper coverage, trends and focused practice for Probability and Statistics.

68 questions22 papers20 years

Linear Algebra

Explore previous-paper coverage, trends and focused practice for Linear Algebra.

57 questions20 papers18 years

Differential Equations

Explore previous-paper coverage, trends and focused practice for Differential Equations.

34 questions16 papers14 years

Numerical Methods

Explore previous-paper coverage, trends and focused practice for Numerical Methods.

30 questions17 papers17 years

Included previous year papers

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

Paper nameYearPDFAttempt
Production and Industrial Engineering (PI) 20262026
7 questions in this view		2026
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20252025
11 questions in this view		2025
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20242024
10 questions in this view		2024
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20232023
13 questions in this view		2023
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20222022
12 questions in this view		2022
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20212021
9 questions in this view		2021
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Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20202020
12 questions in this view		2020
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Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20192019
16 questions in this view		2019
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Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20182018
12 questions in this view		2018
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Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20172017
10 questions in this view		2017
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Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20162016
11 questions in this view		2016
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Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20152015
3 questions in this view		2015
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Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20142014
12 questions in this view		2014
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Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 2013 [Session 1]2013
16 questions in this view		2013
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 2013 [Session 2]2013
16 questions in this view		2013
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 2013 [Session 4]2013
16 questions in this view		2013
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Official documents
Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20122012
16 questions in this view		2012
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Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20112011
20 questions in this view		2011
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Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20102010
22 questions in this view		2010
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Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20092009
21 questions in this view		2009
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Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20082008
32 questions in this view		2008
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Official question paperOriginal authority-issued PDF Official Download
Production & Industrial Engineering (PI) 20072007
35 questions in this view		2007
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Official question paperOriginal authority-issued PDF Official Download

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2007 · Production & Industrial Engineering · Engineering Mathematics · Calculus
Production & Industrial Engineering (PI) 2007
If a complex variable \( z = \frac{\sqrt{3}}{2} + i \frac{1}{2} \), then \( z^4 \) is
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2
2008 · Production & Industrial Engineering · Engineering Mathematics · Calculus
Production & Industrial Engineering (PI) 2008
The value of the integral \(\int_{-\pi/2}^{\pi/2} x \cos(x) dx\) is
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3
2009 · Production & Industrial Engineering · Engineering Mathematics · Differential Equations
Production & Industrial Engineering (PI) 2009
The homogeneous part of the differential equation \(\frac{d^2 y}{dx^2} + p\frac{dy}{dx} + qy = r\) \((p, q \text{ and } r \text{ are constants})\) has real distinct roots if
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4
2010 · Production & Industrial Engineering · Engineering Mathematics · Calculus
Production & Industrial Engineering (PI) 2010
A machine component under fluctuating tensile stress, \(\sigma\) (in MPa), is considered to be safe if the average stress, \(\sigma_{avg}\) (in MPa) and the stress amplitude (variable stress), \(\sigma_{amp}\) (in MPa) satisfy the following inequality: \[\frac{\sigma_{avg}}{360} + \frac{\sigma_{amp}}{210} \leq 1\] The machine member is subjected to a stress, \(\sigma = 120 + p\sin(20t + 0.5)\). For safe operation of the machine component, the maximum value of \(p\) (in MPa) is
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5
2011 · Production & Industrial Engineering · Engineering Mathematics · Linear Algebra
Production & Industrial Engineering (PI) 2011
If matrix A = \begin{bmatrix} 2 & 4 \\ 1 & 3 \end{bmatrix} and matrix B = \begin{bmatrix} 4 & 6 \\ 5 & 9 \end{bmatrix}, the transpose of product of these two matrices, i.e. (AB)^T is equal to
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6
2012 · Production & Industrial Engineering · Engineering Mathematics · Calculus
Production & Industrial Engineering (PI) 2012
\[ \lim_{x \to 0} \left( \frac{1 - \cos x}{x^2} \right) \] is
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