My Cart
Your Cart 0

    Your cart is empty.

  • Total (Amount) ₹0.00
Previous year question hub

Functions - Calculus - Mathematics Previous Year Questions

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

47Papers
7Years
51Questions
1Topics

Functions question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 51 100%

Question type distribution

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

Multiple Choices 51 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
51 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
51 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Functions
51 Qs

Paper coverage

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

MHT CET 2025 20TH APRIL MORNING SHIFT
1 Qs
MHT CET 2025 22ND APRIL EVENING SHIFT
1 Qs
MHT CET 2025 22ND APRIL MORNING SHIFT
1 Qs
MHT CET 2025 23RD APRIL EVENING SHIFT
1 Qs
MHT CET 2025 23RD APRIL MORNING SHIFT
1 Qs
MHT CET 2025 25TH APRIL EVENING SHIFT
1 Qs
MHT CET 2025 25TH APRIL MORNING SHIFT
1 Qs
MHT CET 2025 26TH APRIL MORNING SHIFT
1 Qs
MHT CET 2025 5TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 10TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 10TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 11TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 11TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 15TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 15TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 16TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 2ND MAY MORNING SHIFT
1 Qs
MHT CET 2024 3RD MAY EVENING SHIFT
1 Qs
MHT CET 2024 3RD MAY MORNING SHIFT
1 Qs
MHT CET 2024 4TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 9TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 14TH MAY MORNING SHIFT
2 Qs
MHT CET 2023 10TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 11TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 11TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 12TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 12TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 13TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 13TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 14TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 9TH MAY MORNING SHIFT
1 Qs
MHT CET 2022 11TH AUGUST EVENING SHIFT
1 Qs
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT
1 Qs
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT
1 Qs
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT
1 Qs
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT
1 Qs
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT
1 Qs
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT
1 Qs
MHT CET 2021 23th September Morning Shift
1 Qs
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT
1 Qs
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT
1 Qs
MHT CET 2020 16TH OCTOBER EVENING SHIFT
2 Qs
MHT CET 2020 16TH OCTOBER MORNING SHIFT
2 Qs
MHT CET 2020 19TH OCTOBER EVENING SHIFT
1 Qs
MHT CET 2019 3RD MAY MORNING SHIFT
2 Qs
MHT CET 2019 2ND MAY EVENING SHIFT
1 Qs
MHT CET 2019 2ND MAY MORNING SHIFT
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
MHT CET 2025 20TH APRIL MORNING SHIFT20251View paper
MHT CET 2025 22ND APRIL EVENING SHIFT20251View paper
MHT CET 2025 22ND APRIL MORNING SHIFT20251View paper
MHT CET 2025 23RD APRIL EVENING SHIFT20251View paper
MHT CET 2025 23RD APRIL MORNING SHIFT20251View paper
MHT CET 2025 25TH APRIL EVENING SHIFT20251View paper
MHT CET 2025 25TH APRIL MORNING SHIFT20251View paper
MHT CET 2025 26TH APRIL MORNING SHIFT20251View paper
MHT CET 2025 5TH MAY EVENING SHIFT20251View paper
MHT CET 2024 10TH MAY EVENING SHIFT20241View paper
MHT CET 2024 10TH MAY MORNING SHIFT20241View paper
MHT CET 2024 11TH MAY EVENING SHIFT20241View paper
MHT CET 2024 11TH MAY MORNING SHIFT20241View paper
MHT CET 2024 15TH MAY EVENING SHIFT20241View paper
MHT CET 2024 15TH MAY MORNING SHIFT20241View paper
MHT CET 2024 16TH MAY MORNING SHIFT20241View paper
MHT CET 2024 2ND MAY MORNING SHIFT20241View paper
MHT CET 2024 3RD MAY EVENING SHIFT20241View paper
MHT CET 2024 3RD MAY MORNING SHIFT20241View paper
MHT CET 2024 4TH MAY EVENING SHIFT20241View paper
MHT CET 2024 9TH MAY EVENING SHIFT20241View paper
MHT CET 2023 10TH MAY MORNING SHIFT20231View paper
MHT CET 2023 11TH MAY EVENING SHIFT20231View paper
MHT CET 2023 11TH MAY MORNING SHIFT20231View paper
MHT CET 2023 12TH MAY EVENING SHIFT20231View paper
MHT CET 2023 12TH MAY MORNING SHIFT20231View paper
MHT CET 2023 13TH MAY EVENING SHIFT20231View paper
MHT CET 2023 13TH MAY MORNING SHIFT20231View paper
MHT CET 2023 14TH MAY EVENING SHIFT20231View paper
MHT CET 2023 14TH MAY MORNING SHIFT20232View paper
MHT CET 2023 9TH MAY MORNING SHIFT20231View paper
MHT CET 2022 11TH AUGUST EVENING SHIFT20221View paper
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT20211View paper
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT20211View paper
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT20211View paper
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT20211View paper
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT20211View paper
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT20211View paper
MHT CET 2021 23th September Morning Shift20211View paper
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT20211View paper
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT20211View paper
MHT CET 2020 16TH OCTOBER EVENING SHIFT20202View paper
MHT CET 2020 16TH OCTOBER MORNING SHIFT20202View paper
MHT CET 2020 19TH OCTOBER EVENING SHIFT20201View paper
MHT CET 2019 2ND MAY EVENING SHIFT20191View paper
MHT CET 2019 2ND MAY MORNING SHIFT20191View paper
MHT CET 2019 3RD MAY MORNING SHIFT20192View paper

All Functions previous year questions

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

1
2019 · Mathematics · Calculus · Functions
MHT CET 2019 2ND MAY EVENING SHIFT

If $f(x)=3 x+6, g(x)=4 x+k$ and $f \circ g(x)=g \circ f(x)$ then $k=$

A
$-9$
B
18
C
$\frac{1}{9}$
D
9
Open complete paper
2
2019 · Mathematics · Calculus · Functions
MHT CET 2019 2ND MAY MORNING SHIFT

If $f(x)=3 x-2$ and $g(x)=x^2$, then $(f \circ g)(x)=$

A
$3 x^2-2$
B
$3 x^2+2$
C
$3 x-2$
D
$2-3 x^2$
Open complete paper
3
2019 · Mathematics · Calculus · Functions
MHT CET 2019 3RD MAY MORNING SHIFT

The domain of the real valued function $f(x)=\sqrt{\frac{x-2}{3-x}}$ is......

A
$(2,3]$
B
$[2,3)$
C
$(2,3)$
D
$[2,3]$
Open complete paper
4
2019 · Mathematics · Calculus · Functions
MHT CET 2019 3RD MAY MORNING SHIFT

Which of the following function has period 2?

A
$\cos \left[\left(\frac{\pi}{3}\right) x\right]$
B
$\cos \left[\left(\frac{\pi}{2}\right) x\right]$
C
$\cos (2 \pi x)$
D
$\cos (\pi x)$
Open complete paper
5
2020 · Mathematics · Calculus · Functions
MHT CET 2020 16TH OCTOBER EVENING SHIFT

The domain of the function \(f(x)=\sqrt{x}\) is

A
\(R\)
B
\(R^{+} \cup\{0\}\)
C
\(R-\{0\}\)
D
\(R^{+}\)
Open complete paper
6
2020 · Mathematics · Calculus · Functions
MHT CET 2020 16TH OCTOBER EVENING SHIFT

For \(f(x)=[x]\), where \([x]\) is the greatest integer function, which of the following is true, for every \(x \in \mathbf{R}\)

A
\([x]+1=x\)
B
\([x]+1 < x\)
C
\([x]+1 \leq x\)
D
\([x]+1>x\)
Open complete paper
7
2020 · Mathematics · Calculus · Functions
MHT CET 2020 16TH OCTOBER MORNING SHIFT

The approximate value of the function \(f(x)=x^3-3 x+5\) at \(x=1.99\) is

A
7.91
B
7.94
C
6.94
D
6.91
Open complete paper
8
2020 · Mathematics · Calculus · Functions
MHT CET 2020 16TH OCTOBER MORNING SHIFT

If \(f(x)=\frac{2 x+3}{3 x-2}, x \neq \frac{2}{3}\), then the function \(f\) of is

A
a constant function
B
an exponential function
C
an even function
D
an identity function
Open complete paper
9
2020 · Mathematics · Calculus · Functions
MHT CET 2020 19TH OCTOBER EVENING SHIFT

The range of the function $f(x)=\frac{x-3}{5-x}, x \neq 5$ is

A
$R-\{-5\}$
B
$R-\{-1\}$
C
$R-\{1\}$
D
$R-\{5\}$
Open complete paper
10
2021 · Mathematics · Calculus · Functions
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT

Let \(A=[a, b, c, d], B=[1,2,3]\). Relation \(R_1, R_2, R_3, R_4\) are as follows :

$$\begin{aligned} & R_1=[(\mathrm{a}, 1),(\mathrm{b}, 2),(\mathrm{c}, 1),(\mathrm{d}, 2)] \\ & \mathrm{R}_2=[(\mathrm{a}, 1),(\mathrm{b}, 1),(\mathrm{c}, 1),(\mathrm{d}, 1)] \\ & \mathrm{R}_3=[(\mathrm{a}, 2),(\mathrm{b}, 3),(\mathrm{c}, 2),(\mathrm{d}, 2)] \\ & \mathrm{R}_4=[(\mathrm{a}, 1),(\mathrm{b}, 2),(\mathrm{a}, 2),(\mathrm{d}, 3)] \text {, then } \end{aligned}$$

A
only \(R_3\) and \(R_4\) are not functions
B
only \(\mathrm{R}_1\) and \(\mathrm{R}_2\) are not functions.
C
only \(R_3\) is not a function.
D
only \(R_4\) is not a function.
Open complete paper
11
2021 · Mathematics · Calculus · Functions
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT

The domain of the function \(f(x)=\frac{1}{\sqrt{x+|x|}}\) is

A
\((-\infty, 0)\)
B
\((2,5)\)
C
\((0, \infty)\)
D
\((-\infty, \infty)\)
Open complete paper
12
2021 · Mathematics · Calculus · Functions
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT

If f(x) = 3[x] + 5{x + 1}, where [x] is greatest integer function of x and {x} is fractional part function of x, then f(\(-\)1.32) =

A
\(-\)4.6
B
\(-\)2.6
C
\(-\)7.4
D
\(-\)3.4
Open complete paper
13
2021 · Mathematics · Calculus · Functions
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT

If \(f(x)=[8 x]-3\), where \([x]\) is greatest integer function of \(x\), then \(f(\pi)=\) (where \(\pi=3,14\))

A
21
B
25
C
23
D
22
Open complete paper
14
2021 · Mathematics · Calculus · Functions
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT

The domain of the function \(f(x)=\sqrt{x-1}+\sqrt{6-x}\) is

A
\([1, \infty)\)
B
\([1,6]\)
C
\((-\infty, 6)\)
D
\((-\infty, 6]\)
Open complete paper
15
2021 · Mathematics · Calculus · Functions
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT

The domain of the function \(\log _{10}\left(x^2-5 x+6\right)\) is

A
\((-\infty, \infty)\)
B
\((-\infty, 2) \cup(3, \infty)\)
C
\((2,3)\)
D
None of these
Open complete paper
16
2021 · Mathematics · Calculus · Functions
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT

If \(f(x)=2\{x\}+5 x\), where \(\{x\}\) is fractional part function, then \(f(-1.4)\) is

A
8.2
B
\(-8.2\)
C
\(-5.8\)
D
\(-5\)
Open complete paper
17
2021 · Mathematics · Calculus · Functions
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT

If \(f(x)=\frac{x}{2 x+1}\) and \(g(x)=\frac{x}{x+1}\), then \((f \circ g)(x)=\)

A
\(\frac{2 x-1}{x+1}\)
B
\(\frac{x}{3 x+1}\)
C
\(\frac{x+1}{x+2}\)
D
\(\frac{x-1}{2 x+1}\)
Open complete paper
18
2022 · Mathematics · Calculus · Functions
MHT CET 2022 11TH AUGUST EVENING SHIFT

If \([x]\) is greatest integer function and \(2[2 x-5]-1=7\), then \(x\) lies in

A
\(\left(\frac{9}{2}, 5\right)\)
B
\(\left(\frac{9}{2}, 5\right]\)
C
\(\left[\frac{9}{2}, 5\right]\)
D
\(\left[\frac{9}{2}, 5\right)\)
Open complete paper
19
2023 · Mathematics · Calculus · Functions
MHT CET 2023 10TH MAY MORNING SHIFT

\(\mathrm{f}: \mathrm{R} \rightarrow \mathrm{R} ; \mathrm{g}: \mathrm{R} \rightarrow \mathrm{R}\) are two functions such that \(\mathrm{f}(x)=2 x-3, \mathrm{~g}(x)=x^3+5\), then \((\mathrm{fog})^{-1}(-9)\) is

A
\(-2\)
B
2
C
\(-\sqrt{2}\)
D
\(\sqrt{2}\)
Open complete paper
20
2023 · Mathematics · Calculus · Functions
MHT CET 2023 11TH MAY EVENING SHIFT

If \(\mathrm{f}(x)=\frac{3 x+4}{5 x-7}\) and \(\mathrm{g}(x)=\frac{7 x+4}{5 x-3}\), then \(\mathrm{f}(\mathrm{g}(x))=\)

A
\(\frac{x^3+1}{x^2+2}\)
B
\(41 x\)
C
\(\mathrm{g}(\mathrm{f}(x))\)
D
\(\frac{5 x-7}{41}\)
Open complete paper

Showing 20 of 51 questions