Recent questions and answers in Objective type Questions and Answers

If the magnitude of moment about the point $\overrightarrow{j}+\overrightarrow{k}$ of a force $\overrightarrow{i}+\overrightarrow{aj}-\overrightarrow{k}$ acting through the point $\overrightarrow{i}+\overrightarrow{j} $ is $\sqrt{8} $ then the value of $a$ is

answered Feb 9, 2020 by kmittul2

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The projection of $\overrightarrow{OP}$ on a unit vector $\overrightarrow{OQ}$ equals thrice the area of parallelogram $OPRQ$. Then $\angle{POQ}$ is

answered Jun 10, 2019 by rajarathinamr2017

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The marks secured by $400$ students in a Mathematics test were normally distributed with mean $65$. If $120$ students got more marks above $85$, the number of students securing marks between $45$ nd $65$ is

answered May 23, 2014 by meena.p

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If $f(x)$ is a p.d.f of a normal variate $x$ and $X\sim N(\mu,\sigma^{2})$ then $\int\limits_{-\infty}^{\mu}f(x)dx $ is

answered May 23, 2014 by meena.p

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The random variable $X$ follows normal distribution $f(x)=ce\large\frac{-1/2(x-100)^{2}}{25}$ Then the value of $c$ is

answered May 23, 2014 by meena.p

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If $f(x)$ is a p.d.f of a normal distribution with mean $\mu$ then $\int\limits_{-\infty}^{\infty}f(x)dx$ is

answered May 23, 2014 by meena.p

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In a poisson distribution if $P(X=2)=P(X=3)$ then the value of its parameter $\lambda$ is

answered May 23, 2014 by meena.p

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For a poisson distribution with parameter $ \lambda=0.25$ the value of the $2^{nd}$ moment about the origin is

answered May 23, 2014 by meena.p

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The distribution function $F(X)$ of a random variable $X$ is

answered May 23, 2014 by meena.p

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If a random variable $X$ follows poisson distribution such that $E(X^{2})=30$ then the variance of the distribution is

answered May 23, 2014 by meena.p

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If in a poisson distribution $P(X=0)=k$ then the variance is

answered May 23, 2014 by meena.p

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If $2$ cards are drawn from a well shuffled pack of $52$ cards, the probability that they are of the same colours without replacement, is

answered May 23, 2014 by meena.p

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A box contains $6$ red and $4$ white balls.If $3$ balls are drawn at random, the probability of getting $2$ white balls without replacement, is

answered May 23, 2014 by meena.p

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In $16$ throws of a die getting an even number is considered a success. Then the variance of the successes is

answered May 23, 2014 by meena.p

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If the mean and standard deviation of a binomial distribution are $12$ and $2$ respectively. Then the value of its parameter $p$ is

answered May 23, 2014 by meena.p

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The mean of a binomial distribution is $5$ and its standard deviation is $2.$ Then the value of $n$ and $p$ are

answered May 23, 2014 by meena.p

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In $5$ throws of a die, getting $1$ or $2$ is a success. The mean number of successes is

answered May 23, 2014 by meena.p

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Var $(4X+3)$ is

answered May 23, 2014 by meena.p

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$\mu_{2}=20, \mu'_{2}=276$ for a discrete random variable $X$. Then the mean of the random variable $X$ is

answered May 23, 2014 by meena.p

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$X$ is a random variable taking the values $3, 4 $and $12$ with probabilities $\large\frac{1}{3},\frac{1}{4}$ and $\large\frac{4}{7}.$ Then $E(X)$ is

answered May 23, 2014 by meena.p

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Variance of the random variable $X$ is$4$ .Its mean is $2.$ Then $E(X^{2})$ is

answered May 23, 2014 by meena.p

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Given $E(X+c)=8$ and $E(X-c)=12$ then the value of $c$ is

answered May 23, 2014 by meena.p

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A random variable $X$ has the following p.d.f\[\]$ \begin{array} {llllllll} \textbf{X:}& 0& 1& 2& 3& 4& 5&6&7 \\ \textbf{P(X):}& 0& k &2k& 2k& 3k& k^{2}&2k^{2}&7k^{2}+k \end{array} $\[\]The value of $k$ is

answered May 23, 2014 by meena.p

1 answer

$X$ is a discrete random variable which takes the values $0, 1, 2 $ and $P(X=0)=\large\frac{144}{169},$$ P(X=1)=\large\frac{1}{169}$ then the value of $P(X=2)$ is

answered May 23, 2014 by meena.p

1 answer

A random variable $X$ has the following probability mass function as follows:\[\]$\begin{array} {llllllll} \textbf{X:}& -2& 3 & 1 \\ \textbf{P(X=x):}& \large\frac{\lambda}{6}& \large\frac{\lambda}{4} &\large\frac{\lambda}{12} \end{array}$\[\] Then the value of $\lambda$ is

answered May 23, 2014 by meena.p

1 answer

A random variable $X$ has the following probability distribution.\[\]$\begin{array} {llllllll} \textbf{X:}& 0& 1& 2& 3& 4& 5 \\ \textbf{P(X=x):}& 1/4& 2a &3a& 4a& 5a& 1/4 \end{array}$\[\]Then $p(1\leq x\leq 4)$ is

answered May 23, 2014 by meena.p

1 answer

If $f(x)=\large\frac{A}{\pi}\frac{1}{16+x^{2'}}$$-\infty<x<\infty$\[\]is a p.d.f of a continuous random variable $X,$ then the value of $A$ is

answered May 22, 2014 by meena.p

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In the set of integers under the operation $^\ast $ defined by $a^{\ast}b=a+b-1$ the identity element is

answered May 22, 2014 by meena.p

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In the multiplicative group of $n{ th } $ roots of unity, the inverse of $\omega^{k}$ is $(k<n)$

answered May 22, 2014 by meena.p

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The order of $-i$ in the multiplicative group of $4^{th} $ roots of unity is

answered May 22, 2014 by meena.p

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Which of the following is correct?

answered May 22, 2014 by meena.p

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In the set of real numbers $R,$ an operation $^\ast $is defined by $a^\ast b=\sqrt{a^{2}+b^{2}}.$ Then the value of $(3^\ast4)^\ast 5$ is

answered May 22, 2014 by meena.p

1 answer

The value of $[3]+11([5]+11[6])$ is

answered May 22, 2014 by meena.p

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In the multiplicative group of cube root of unity, the order of $w^{2}$ is

answered May 22, 2014 by meena.p

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The order of $[7]$ in $(Z_{9},+_{9})$ is

answered May 22, 2014 by meena.p

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In the set of integers with operation $^{\ast}$ defined by $a ^{\ast} b=a+b-ab,$ the value of $3^{\ast}(4^{\ast} 5)$ is

answered May 22, 2014 by meena.p

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Which of the following is not a group?

answered May 22, 2014 by meena.p

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A monoid becomes a group if it also satisfies the

answered May 22, 2014 by meena.p

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Which of the following is not a binary operation on $R$

answered May 22, 2014 by meena.p

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$p\leftrightarrow q$ is equivalent to

answered May 22, 2014 by meena.p

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Which of the following is a contradiction ?

answered May 22, 2014 by meena.p

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Which of the following is a tautology?

answered May 22, 2014 by meena.p

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The conditional statement $ p\to q$ is equivalent to

answered May 22, 2014 by meena.p

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The number of rows in the truth table of $\sim[p\land(\sim q)]$ is

answered May 22, 2014 by meena.p

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If $\;p\;$ is $T$ and $\;q$ is $F$, then which of the following have the truth value$T$? \[\begin{array}{1 1}(1)p \vee q&(2)\sim p\vee q\\(3)p \vee \sim q&(4)p \wedge\sim q\end{array}\]

answered May 22, 2014 by meena.p

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If a compound statement is made up of three simple statements, then the number of rows in the truth table is

answered May 22, 2014 by meena.p

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Which of the following are statements?\[\begin{array}{1 1}(1)May \;God \;bless\; you.&(2)Rose\; is\; a\; flower.\\(3)Milk \;is \;White.&(4)1 \;is\; a\; prime \;number.\end{array}\]

answered May 22, 2014 by meena.p

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The particular integral of the differential equation $f(D)y=e^{ax}$ where $\;.f(D)=(D-a)g(D).g(a)\neq 0$ is

answered May 22, 2014 by meena.p

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The P.L of $(3D^{2}+D-14)y=13e^{2x}$ is

answered May 22, 2014 by meena.p

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The integrating factor of the differential equation $\large\frac{dy}{dx}$$-y\tan x=\cos x $ is

answered May 22, 2014 by meena.p

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