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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.

19Papers
17Years
295Questions
1Topics

Engineering Mathematics question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Engineering Mathematics. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 253 85.8%
Medium 42 14.2%

Question type distribution

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

MCQ 251 85.1%
Numerical Answer Type (NAT) 43 14.6%
MSQ 1 0.3%

Subject weightage

Top subjects by unique question coverage.

Production & Industrial Engineering
295 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
295 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Calculus
128 Qs
Probability and Statistics
60 Qs
Linear Algebra
52 Qs
Differential Equations
30 Qs
Numerical Methods
25 Qs

Paper coverage

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

Production & Industrial Engineering (PI) 2023
4 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.

128 questions18 papers16 years

Probability and Statistics

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

60 questions19 papers17 years

Linear Algebra

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

52 questions17 papers15 years

Differential Equations

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

30 questions13 papers11 years

Numerical Methods

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

25 questions14 papers14 years

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Production & Industrial Engineering (PI) 202320234View paper
Production & Industrial Engineering (PI) 2022202212View paper
Production & Industrial Engineering (PI) 202120219View paper
Production & Industrial Engineering (PI) 2020202012View paper
Production & Industrial Engineering (PI) 2019201916View paper
Production & Industrial Engineering (PI) 2018201812View paper
Production & Industrial Engineering (PI) 2017201710View paper
Production & Industrial Engineering (PI) 2016201611View paper
Production & Industrial Engineering (PI) 201520153View paper
Production & Industrial Engineering (PI) 2014201412View paper
Production & Industrial Engineering (PI) 2013 [Session 1]201316View paper
Production & Industrial Engineering (PI) 2013 [Session 2]201316View paper
Production & Industrial Engineering (PI) 2013 [Session 4]201316View paper
Production & Industrial Engineering (PI) 2012201216View paper
Production & Industrial Engineering (PI) 2011201120View paper
Production & Industrial Engineering (PI) 2010201022View paper
Production & Industrial Engineering (PI) 2009200921View paper
Production & Industrial Engineering (PI) 2008200832View paper
Production & Industrial Engineering (PI) 2007200735View paper

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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