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Previous year question hub

Calculus - Engineering Mathematics - Computer Science & Information Technology Previous Year Questions

Practice Calculus - Engineering Mathematics - Computer Science & Information Technology previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

31Papers
19Years
61Questions
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 46 75.4%
Medium 14 23%
Hard 1 1.6%

Question type distribution

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

MCQ 44 72.1%
Numerical Answer Type (NAT) 13 21.3%
MSQ 4 6.6%

Subject weightage

Top subjects by unique question coverage.

Computer Science & Information Technology
61 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
61 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Calculus
61 Qs

Paper coverage

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

Computer Science and Information Technology (CS) 2026
2 Qs
Computer Science and Information Technology (CS) 2026
2 Qs
Computer Science & Information Technology (CS) 2025 [Session 1]
1 Qs
Computer Science & Information Technology (CS) 2025 [Session 2]
1 Qs
Computer Science & Information Technology (CS) 2024 [Session 1]
1 Qs
Computer Science & Information Technology (CS) 2024 [Session 2]
1 Qs
Computer Science & Information Technology (CS) 2023 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2022 [Session 2]
1 Qs
Computer Science & Information Technology (CS) 2021 [Session 1]
1 Qs
Computer Science & Information Technology (CS) 2021 [Session 2]
1 Qs
Computer Science & Information Technology (CS) 2020 [Session 2]
1 Qs
Computer Science & Information Technology (CS) 2019 [Session 2]
1 Qs
Computer Science & Information Technology (CS) 2018 [Session 2]
1 Qs
Computer Science & Information Technology (CS) 2017 [Session 2]
1 Qs
Computer Science & Information Technology (CS) 2016 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2016 [Session 1]
1 Qs
Computer Science & Information Technology (CS) 2015 [Session 1]
2 Qs
Computer Science & Information Technology (CS) 2015 [Session 2]
1 Qs
Computer Science & Information Technology (CS) 2015 [Session 3]
1 Qs
Computer Science & Information Technology (CS) 2014 [Session 1]
3 Qs
Computer Science & Information Technology (CS) 2014 [Session 3]
3 Qs
Computer Science & Information Technology (CS) 2014 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2013 [Session 3]
5 Qs
Computer Science & Information Technology (CS) 2013 [Session 4]
5 Qs
Computer Science & Information Technology (CS) 2013 [Session 1]
4 Qs
Computer Science & Information Technology (CS) 2013 [Session 2]
2 Qs
Computer Science & Information Technology (CS) 2011
4 Qs
Computer Science & Information Technology (CS) 2010
2 Qs
Computer Science & Information Technology (CS) 2009
1 Qs
Computer Science & Information Technology (CS) 2008
4 Qs
Computer Science & Information Technology (CS) 2007
2 Qs

Included previous year papers

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

Paper nameYearPDFAttempt
Computer Science and Information Technology (CS) 20262026
2 questions in this view
2026
Computer Science and Information Technology (CS) 20262026
2 questions in this view
2026
Computer Science & Information Technology (CS) 2025 [Session 1]2025
1 questions in this view
2025
Computer Science & Information Technology (CS) 2025 [Session 2]2025
1 questions in this view
2025
Computer Science & Information Technology (CS) 2024 [Session 1]2024
1 questions in this view
2024
Computer Science & Information Technology (CS) 2024 [Session 2]2024
1 questions in this view
2024
Computer Science & Information Technology (CS) 2023 [Session 2]2023
2 questions in this view
2023
Computer Science & Information Technology (CS) 2022 [Session 2]2022
1 questions in this view
2022
Computer Science & Information Technology (CS) 2021 [Session 1]2021
1 questions in this view
2021
Computer Science & Information Technology (CS) 2021 [Session 2]2021
1 questions in this view
2021
Computer Science & Information Technology (CS) 2020 [Session 2]2020
1 questions in this view
2020
Computer Science & Information Technology (CS) 2019 [Session 2]2019
1 questions in this view
2019
Computer Science & Information Technology (CS) 2018 [Session 2]2018
1 questions in this view
2018
Computer Science & Information Technology (CS) 2017 [Session 2]2017
1 questions in this view
2017
Computer Science & Information Technology (CS) 2016 [Session 1]2016
1 questions in this view
2016
Computer Science & Information Technology (CS) 2016 [Session 2]2016
2 questions in this view
2016
Computer Science & Information Technology (CS) 2015 [Session 1]2015
2 questions in this view
2015
Computer Science & Information Technology (CS) 2015 [Session 2]2015
1 questions in this view
2015
Computer Science & Information Technology (CS) 2015 [Session 3]2015
1 questions in this view
2015
Computer Science & Information Technology (CS) 2014 [Session 1]2014
3 questions in this view
2014
Computer Science & Information Technology (CS) 2014 [Session 2]2014
2 questions in this view
2014
Computer Science & Information Technology (CS) 2014 [Session 3]2014
3 questions in this view
2014
Computer Science & Information Technology (CS) 2013 [Session 1]2013
4 questions in this view
2013
Computer Science & Information Technology (CS) 2013 [Session 2]2013
2 questions in this view
2013
Computer Science & Information Technology (CS) 2013 [Session 3]2013
5 questions in this view
2013
Computer Science & Information Technology (CS) 2013 [Session 4]2013
5 questions in this view
2013
Computer Science & Information Technology (CS) 20112011
4 questions in this view
2011
Computer Science & Information Technology (CS) 20102010
2 questions in this view
2010
Computer Science & Information Technology (CS) 20092009
1 questions in this view
2009
Computer Science & Information Technology (CS) 20082008
4 questions in this view
2008
Computer Science & Information Technology (CS) 20072007
2 questions in this view
2007

All Calculus previous year questions

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

1
2007 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2007
Consider the following two statements about the function \( f(x) = |x| \):
P. \( f(x) \) is continuous for all real values of \( x \)
Q. \( f(x) \) is differentiable for all real values of \( x \)
Which of the following is TRUE?
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2
2007 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2007
Consider the series xₙ₊₁ = \(\frac{xₙ}{2} + \frac{9}{8xₙ}\), x₀ = 0.5 obtained from the Newton-Raphson method. The series converges to
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3
2008 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2008
\[ \lim_{x \to \infty} \frac{x - \sin x}{x + \cos x} \] equals
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4
2008 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2008
The minimum number of equal length subintervals needed to approximate $\int_1^2 x e^x dx$ to an accuracy of at least $\frac{1}{3} \times 10^{-6}$ using the trapezoidal rule is
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5
2008 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2008
The Newton-Raphson iteration $x_{n+1} = \frac{1}{2} (x_n + \frac{R}{x_n})$ can be used to compute the
Open complete paper
6
2008 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2008
A point on a curve is said to be an extremum if it is a local minimum or a local maximum. The number of distinct extrema for the curve $3x^4 - 16x^3 + 24x^2 + 37$ is
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7
2009 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2009
\[ \int_{0}^{\pi/4} \frac{1-\tan x}{1+\tan x} dx \] evaluates to
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8
2010 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2010
Newton-Raphson method is used to compute a root of the equation \(x^3 - 13 = 0\) with 3.5 as the initial value. The approximation after one iteration is
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9
2010 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2010
What is the value of \(\lim\limits_{n \to \infty} \left(1 - \frac{1}{n}\right)^{2n}\) ?
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10
2013 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2013 [Session 1]
Which one of the following functions is continuous at \(x = 3\)?
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11
2013 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2013 [Session 1]
Function \(f\) is known at the following points:
\(x\)00.30.60.91.21.51.82.12.42.73.0
\(f(x)\)00.090.360.811.442.253.244.415.767.299.00
The value of \(\int_0^3 f(x) dx\) computed using the trapezoidal rule is

Question diagram

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12
2013 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2013 [Session 1]
Find the sum of the expression \(\frac{1}{\sqrt{1}+\sqrt{2}} + \frac{1}{\sqrt{2}+\sqrt{3}} + \frac{1}{\sqrt{3}+\sqrt{4}} + ..............+ \frac{1}{\sqrt{80}+\sqrt{81}}\)
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13
2013 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2013 [Session 1]

The current erection cost of a structure is Rs. 13,200. If the labour wages per day increase by 1/5 of the current wages and the working hours decrease by 1/24 of the current period, then the new cost of erection in Rs. is

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14
2013 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2013 [Session 2]
Function $f$ is known at the following points:
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15
2013 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2013 [Session 2]
Which one of the following functions is continuous at $x = 3$?
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16
2013 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2013 [Session 3]
Function f is known at the following points:
x00.30.60.91.21.51.82.12.42.73.0
f(x)00.090.360.811.442.253.244.415.767.299.00
The value of \int_0^3 f(x) dx computed using the trapezoidal rule is
Open complete paper
17
2013 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2013 [Session 3]
Which one of the following functions is continuous at x = 3?
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18
2013 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2013 [Session 3]
A tourist covers half of his journey by train at 60 km/h, half of the remainder by bus at 30 km/h and the rest by cycle at 10 km/h. The average speed of the tourist in km/h during his entire journey is
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19
2013 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2013 [Session 3]
Find the sum of the expression \[\frac{1}{\sqrt{1}+\sqrt{2}} + \frac{1}{\sqrt{2}+\sqrt{3}} + \frac{1}{\sqrt{3}+\sqrt{4}} + \dots\dots\dots\dots + \frac{1}{\sqrt{80}+\sqrt{81}}\]
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20
2013 · Computer Science & Information Technology · Engineering Mathematics · Calculus
Computer Science & Information Technology (CS) 2013 [Session 4]
Function f is known at the following points:
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Showing 20 of 57 questions