NIMCET Function Previous Year Question Paper and Solution with PDF

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

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

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

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

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

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

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

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

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

The function

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NIMCET Previous Year PYQNIMCET NIMCET 2018 PYQ

Solution

Qus : 15NIMCET PYQ

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

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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