The first three moments of a distribution about 2 are 1, 16, -40 respectively. The mean and variance of the distribution are
Previous 10 Questions — NIMCET 2022
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Which term of the series $\frac{\sqrt[]{5}}{3},\, \frac{\sqrt[]{5}}{4},\frac{1}{\sqrt[]{5}},\, ...$ is $\frac{\sqrt{5}}…
Topic: NIMCET 2022
Let $\vec{a}=2\hat{i}+2\hat{j}+\hat{k}$ and $\vec{b}$ be another vector such that $\vec{a}.\vec{b}=14$ and $\vec{a} \ti…
Topic: NIMCET 2022
The function $f(x)=\begin{cases}{{(1+2x)}^{1/x}} & {,x\ne0} \\ {{e}^2} & {,x=0}\end{cases}$, is
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The solution of the equation ${4\cos }^2x+6{\sin }^2x=5$ are
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If $cosec\theta-cot \theta=2$, then the value of $cosec\theta$ is
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Let $a$ be the distance between the lines $−2x + y = 2$ and $2x − y = 2$, and $b$ be the distance between the lines $4x…
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If the volume of the parallelepiped whose adjacent edges are $\vec{a}=2\hat{i}+3\hat{j}+4\hat{k}$, $\vec{b}=\hat{i}+\al…
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The domain of the function $f(x)=\frac{{\cos }^{-1}x}{[x]}$ is
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If $a{\lt}b$ then $\int ^b_a\Bigg{(}|x-a|+|x-b|\Bigg{)}dx$ is equal to
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A particle is at rest at the origin. It moves
along the x −axis with an acceleration $x-x^2$
, where x is the distance…
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A survey is done among a population of 200 people who like either tea or coffee. It is found that 60% of the pop lation…
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The value of $\cot \Bigg{(}{cosec}^{-1}\frac{5}{3}+{\tan }^{-1}\frac{2}{3}\Bigg{)}$ is
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If $0{\lt}P(A){\lt}1$ and $0{\lt}P(B){\lt}1$ and $P(A\cap B)=P(A)P(B)$, then
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Which of the following is NOT true?
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$f(x)=x+|x|$ is continuous for
Topic: NIMCET 2022
If ${{a}}_1,{{a}}_2,\ldots,{{a}}_n$ are any real numbers and $n$ is
any positive integer, then
Topic: NIMCET 2022
If $D={\begin{vmatrix}{1} & 1 & {1} \\ 1 & {2+x} & {1} \\ {1} & {1} & {2+y}\end{vmatrix}}\, for\, x\ne0,\, y\ne0$ then …
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Area of the parallelogram formed by the
lines y=4x, y=4x+1, x+y=0 and x+y=1
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A four-digit number is formed using the
digits 1, 2, 3, 4, 5 without repetition. The
probability that is divisible by…
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For $a\in R$ (the set of al real numbers), $a \ne 1$, $\lim _{{n}\rightarrow\infty}\frac{({1}^a+{2}^a+{\ldots+{n}^a})}{…
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