NIMCET Function Previous Year Question Paper and Solution with PDF

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NIMCET Previous Year Questions (PYQs)

NIMCET Function PYQ

Qus : 1NIMCET PYQ 2023

The graph of function

$f(x)=\log _e({x}^3+\sqrt[]{{x}^6+1})$ is symmetric about:

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 2NIMCET PYQ 2023

If f(x) is a polynomial of degree 4, f(n) = n + 1 & f(0) = 25, then find f(5) = ?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 3NIMCET PYQ 2023

The maximum value of

$f(x) = (x – 1)^2 (x + 1)^3$ is equal to

$\frac{2^p3^q}{3125}$ then the ordered pair of (p, q) will be

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 4NIMCET PYQ 2023

If

$| x - 6|= | x - 4x | -| x^2- 5x +6 |$ , where x is a real variable

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 5NIMCET PYQ 2023

A real valued function f is defined as

$f(x)=\begin{cases}{-1} & {-2\leq x\leq0} \\ {x-1} & {0\leq x\leq2}\end{cases}$ . Which of the following statement is FALSE?

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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution

Qus : 6NIMCET PYQ 2019

Number of onto (surjective) functions from A to B if n(A)=6 and n(B)=3, is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 7NIMCET PYQ 2019

Let

$X_i, i = 1,2,.. , n$ be n observations and

$w_i = px_i +k, i = 1,2, ,n$ where p and k are constants. If the mean of

$x_i 's$ is 48 and the standard deviation is 12, whereas the mean of

$w_i 's$ is 55 and the standard deviation is 15, then the value of p and k should be

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 8NIMCET PYQ 2019

Let S be the set

$\{a\in Z^+:a\leq100\}$ .If the equation

$[tan^2 x]-tan x - a = 0$ has real roots (where [ . ] is the greatest integer function), then the number of elements is S is

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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution

Qus : 9NIMCET PYQ 2024

The number of one - one functions f: {1,2,3} → {a,b,c,d,e} is

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NIMCET Previous Year PYQNIMCET NIMCET 2024 PYQ

Solution

Qus : 10NIMCET PYQ 2022

The domain of the function

$f(x)=\frac{{\cos }^{-1}x}{[x]}$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

Qus : 11NIMCET PYQ 2022

The function

$f(x)=\log (x+\sqrt[]{{x}^2+1})$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

Qus : 12NIMCET PYQ 2024

The value of

$f(1)$ for

$f\Bigg{(}\frac{1-x}{1+x}\Bigg{)}=x+2$ is

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NIMCET Previous Year PYQNIMCET NIMCET 2024 PYQ

Solution

Qus : 13NIMCET PYQ 2024

If f(x)=cos[

$\pi$ ^2]x+cos[-

$\pi$ ^2]x, where [.] stands for greatest integer function, then

$f(\pi/2)$ =

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NIMCET Previous Year PYQNIMCET NIMCET 2024 PYQ

Solution

Qus : 14NIMCET PYQ 2018

The function

is

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NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

Solution

Qus : 15NIMCET PYQ 2018

Which of the following function is the inverse of itself?

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NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

Solution

Qus : 16NIMCET PYQ 2017

If the graph of y = (x – 2)² – 3 is shifted by 5 units up along y-axis and 2 units to the right along the x-axis, then the equation of the resultant graph is

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NIMCET Previous Year PYQNIMCET NIMCET 2017 PYQ

Solution

When y= f (x) is shifted by k units to the right along x

– axis, it become y= f (x - k )

Hence, new equation of

graph is y = (x - 4)² + 2

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