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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.

30Papers
18Years
57Questions
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 43 75.4%
Medium 13 22.8%
Hard 1 1.8%

Question type distribution

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

MCQ 40 70.2%
Numerical Answer Type (NAT) 13 22.8%
MSQ 4 7%

Subject weightage

Top subjects by unique question coverage.

Computer Science & Information Technology
57 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
57 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Calculus
57 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) 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. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Computer Science and Information Technology (CS) 202620262View paper
Computer Science and Information Technology (CS) 202620262View paper
Computer Science & Information Technology (CS) 2025 [Session 1]20251View paper
Computer Science & Information Technology (CS) 2025 [Session 2]20251View paper
Computer Science & Information Technology (CS) 2024 [Session 1]20241View paper
Computer Science & Information Technology (CS) 2024 [Session 2]20241View paper
Computer Science & Information Technology (CS) 2023 [Session 2]20232View paper
Computer Science & Information Technology (CS) 2022 [Session 2]20221View paper
Computer Science & Information Technology (CS) 2021 [Session 1]20211View paper
Computer Science & Information Technology (CS) 2021 [Session 2]20211View paper
Computer Science & Information Technology (CS) 2020 [Session 2]20201View paper
Computer Science & Information Technology (CS) 2019 [Session 2]20191View paper
Computer Science & Information Technology (CS) 2018 [Session 2]20181View paper
Computer Science & Information Technology (CS) 2017 [Session 2]20171View paper
Computer Science & Information Technology (CS) 2016 [Session 1]20161View paper
Computer Science & Information Technology (CS) 2016 [Session 2]20162View paper
Computer Science & Information Technology (CS) 2015 [Session 1]20152View paper
Computer Science & Information Technology (CS) 2015 [Session 2]20151View paper
Computer Science & Information Technology (CS) 2015 [Session 3]20151View paper
Computer Science & Information Technology (CS) 2014 [Session 1]20143View paper
Computer Science & Information Technology (CS) 2014 [Session 2]20142View paper
Computer Science & Information Technology (CS) 2014 [Session 3]20143View paper
Computer Science & Information Technology (CS) 2013 [Session 1]20134View paper
Computer Science & Information Technology (CS) 2013 [Session 2]20132View paper
Computer Science & Information Technology (CS) 2013 [Session 3]20135View paper
Computer Science & Information Technology (CS) 2013 [Session 4]20135View paper
Computer Science & Information Technology (CS) 201020102View paper
Computer Science & Information Technology (CS) 200920091View paper
Computer Science & Information Technology (CS) 200820084View paper
Computer Science & Information Technology (CS) 200720072View paper

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 53 questions