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Previous year question hub

Calculus - Engineering Mathematics - Instrumentation Engineering Previous Year Questions

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

21Papers
18Years
59Questions
1Topics

Calculus question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 48 81.4%
Medium 11 18.6%

Question type distribution

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

MCQ 49 83.1%
Numerical Answer Type (NAT) 8 13.6%
Fill in the blanks 1 1.7%
MSQ 1 1.7%

Subject weightage

Top subjects by unique question coverage.

Instrumentation Engineering
59 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
59 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Calculus
59 Qs

Paper coverage

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

Instrumentation Engineering (IN) 2026
3 Qs
Instrumentation Engineering (IN) 2025
2 Qs
Instrumentation Engineering (IN) 2024
1 Qs
Instrumentation Engineering (IN) 2023
2 Qs
Instrumentation Engineering (IN) 2022
1 Qs
Instrumentation Engineering (IN) 2021
2 Qs
Instrumentation Engineering (IN) 2020
2 Qs
Instrumentation Engineering (IN) 2019
1 Qs
Instrumentation Engineering (IN) 2018
7 Qs
Instrumentation Engineering (IN) 2017
2 Qs
Instrumentation Engineering (IN) 2016
3 Qs
Instrumentation Engineering (IN) 2014
1 Qs
Instrumentation Engineering (IN) 2013 [Session 1]
4 Qs
Instrumentation Engineering (IN) 2013 [Session 2]
4 Qs
Instrumentation Engineering (IN) 2013 [Session 3]
4 Qs
Instrumentation Engineering (IN) 2013 [Session 4]
3 Qs
Instrumentation Engineering (IN) 2011
4 Qs
Instrumentation Engineering (IN) 2010
2 Qs
Instrumentation Engineering (IN) 2009
1 Qs
Instrumentation Engineering (IN) 2008
6 Qs
Instrumentation Engineering (IN) 2007
4 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Instrumentation Engineering (IN) 202620263View paper
Instrumentation Engineering (IN) 202520252View paper
Instrumentation Engineering (IN) 202420241View paper
Instrumentation Engineering (IN) 202320232View paper
Instrumentation Engineering (IN) 202220221View paper
Instrumentation Engineering (IN) 202120212View paper
Instrumentation Engineering (IN) 202020202View paper
Instrumentation Engineering (IN) 201920191View paper
Instrumentation Engineering (IN) 201820187View paper
Instrumentation Engineering (IN) 201720172View paper
Instrumentation Engineering (IN) 201620163View paper
Instrumentation Engineering (IN) 201420141View paper
Instrumentation Engineering (IN) 2013 [Session 1]20134View paper
Instrumentation Engineering (IN) 2013 [Session 2]20134View paper
Instrumentation Engineering (IN) 2013 [Session 3]20134View paper
Instrumentation Engineering (IN) 2013 [Session 4]20133View paper
Instrumentation Engineering (IN) 201120114View paper
Instrumentation Engineering (IN) 201020102View paper
Instrumentation Engineering (IN) 200920091View paper
Instrumentation Engineering (IN) 200820086View paper
Instrumentation Engineering (IN) 200720074View paper

All Calculus previous year questions

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

1
2009 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2009
A sphere of unit radius is centered at the origin. The unit normal at a point \( (x, y, z) \) on the surface of the sphere is the vector
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2
2010 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2010
The infinite series \( f(x) = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} \ldots \ldots \) converges to
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3
2010 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2010

If 137 + 276 = 435 how much is 731 + 672?

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4
2011 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2011
The series \(\sum_{n=0}^\infty \frac{1}{4^m} (x-1)^{2m}\) converges for
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5
2011 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2011
The sum of n terms of the series 4+44+444+.... is
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6
2011 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2011
Given that f(y) = | y | / y, and q is any non-zero real number, the value of | f(q) – f(-q) | is
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7
2011 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2011
Three friends, R, S and T shared toffee from a bowl. R took 1/3rd of the toffees, but returned four to the bowl. S took 1/4th of what was left but returned three toffees to the bowl. T took half of the remainder but returned two back into the bowl. If the bowl had 17 toffees left, how many toffees were originally there in the bowl?
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8
2013 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2013 [Session 1]
Complete the sentence:
Dare ______ mistakes.
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9
2013 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2013 [Session 1]
Find the sum to \(n\) terms of the series \(10+84+734+.....\)
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10
2013 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2013 [Session 1]
The set of values of \(p\) for which the roots of the equation \(3x^2+2x+p(p-1)=0\) are of opposite sign is
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11
2013 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2013 [Session 1]

A car travels 8 km in the first quarter of an hour, 6 km in the second quarter and 16 km in the third quarter. The average speed of the car in km per hour over the entire journey is

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12
2013 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2013 [Session 2]
Complete the sentence:
Dare _______ mistakes.
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13
2013 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2013 [Session 2]
Find the sum to \(n\) terms of the series \(10+84+734+ .....\)
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14
2013 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2013 [Session 2]
The set of values of \(p\) for which the roots of the equation \(3x^2+2x+p(p-1) = 0\) are of opposite sign is
Open complete paper
15
2013 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2013 [Session 3]
Complete the sentence:
Dare _______________ mistakes.
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16
2013 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2013 [Session 3]
The set of values of p for which the roots of the equation 3x² + 2x + p(p – 1) = 0 are of opposite sign is
Open complete paper
17
2013 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2013 [Session 3]
Find the sum to n terms of the series 10 + 84 + 734 + …..
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18
2013 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2013 [Session 4]
The set of values of p for which the roots of the equation 3x²+2x+p(p−1) = 0 are of opposite sign is
Open complete paper
19
2013 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2013 [Session 4]
Find the sum to n terms of the series 10+84+ 734 + …..
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20
2014 · Instrumentation Engineering · Engineering Mathematics · Calculus
Instrumentation Engineering (IN) 2014
A scalar valued function is defined as \( f(\mathbf{x}) = \mathbf{x}^T \mathbf{A} \mathbf{x} + \mathbf{b}^T \mathbf{x} + c \), where \( \mathbf{A} \) is a symmetric positive definite matrix with dimension \( n \times n \), \( \mathbf{b} \) and \( \mathbf{x} \) are vectors of dimension \( n \times 1 \). The minimum value of \( f(\mathbf{x}) \) will occur when \( \mathbf{x} \) equals
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Showing 20 of 56 questions