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Recent questions and answers in Objective type Questions and Answers
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Objective type Questions and Answers
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
tnstate
class12
bookproblem
p244
objective
q150
modelpaper
oct-2007
answered
May 23, 2014
by
meena.p
1
answer
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
tnstate
class12
bookproblem
p244
objective
q149
answered
May 23, 2014
by
meena.p
1
answer
The random variable $X$ follows normal distribution $f(x)=ce\large\frac{-1/2(x-100)^{2}}{25}$ Then the value of $c$ is
tnstate
class12
bookproblem
p244
objective
q148
modelpaper
jun-2006
mar-2010
answered
May 23, 2014
by
meena.p
1
answer
If $f(x)$ is a p.d.f of a normal distribution with mean $\mu$ then $\int\limits_{-\infty}^{\infty}f(x)dx$ is
tnstate
class12
bookproblem
p244
objective
q147
modelpaper
oct-2006
mar-2007
jun-2007
answered
May 23, 2014
by
meena.p
1
answer
In a poisson distribution if $P(X=2)=P(X=3)$ then the value of its parameter $\lambda$ is
tnstate
class12
bookproblem
p244
objective
q146
answered
May 23, 2014
by
meena.p
1
answer
For a poisson distribution with parameter $ \lambda=0.25$ the value of the $2^{nd}$ moment about the origin is
tnstate
class12
bookproblem
p244
objective
q145
modelpaper
oct-2009
answered
May 23, 2014
by
meena.p
1
answer
The distribution function $F(X)$ of a random variable $X$ is
tnstate
class12
bookproblem
p244
objective
q144
modelpaper
mar-2008
answered
May 23, 2014
by
meena.p
1
answer
If a random variable $X$ follows poisson distribution such that $E(X^{2})=30$ then the variance of the distribution is
tnstate
class12
bookproblem
p243
objective
q143
modelpaper
jun-2008
answered
May 23, 2014
by
meena.p
1
answer
If in a poisson distribution $P(X=0)=k$ then the variance is
tnstate
class12
bookproblem
p243
objective
q142
modelpaper
oct-2007
mar-2007
oct-2008
mar-2009
answered
May 23, 2014
by
meena.p
1
answer
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
tnstate
class12
bookproblem
p243
objective
q141
answered
May 23, 2014
by
meena.p
1
answer
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
tnstate
class12
bookproblem
p243
objective
q140
answered
May 23, 2014
by
meena.p
1
answer
In $16$ throws of a die getting an even number is considered a success. Then the variance of the successes is
tnstate
class12
bookproblem
p243
objective
q139
modelpaper
jun-2007
mar-2010
answered
May 23, 2014
by
meena.p
1
answer
If the mean and standard deviation of a binomial distribution are $12$ and $2$ respectively. Then the value of its parameter $p$ is
tnstate
class12
bookproblem
p243
objective
q138
answered
May 23, 2014
by
meena.p
1
answer
The mean of a binomial distribution is $5$ and its standard deviation is $2.$ Then the value of $n$ and $p$ are
tnstate
class12
bookproblem
p243
objective
q137
answered
May 23, 2014
by
meena.p
1
answer
In $5$ throws of a die, getting $1$ or $2$ is a success. The mean number of successes is
tnstate
class12
bookproblem
p243
objective
q136
modelpaper
oct-2006
answered
May 23, 2014
by
meena.p
1
answer
Var $(4X+3)$ is
tnstate
class12
bookproblem
p243
objective
q135
modelpaper
mar-2006
jun-2006
mar-2008
jun-2008
answered
May 23, 2014
by
meena.p
1
answer
$\mu_{2}=20, \mu'_{2}=276$ for a discrete random variable $X$. Then the mean of the random variable $X$ is
tnstate
class12
bookproblem
p243
objective
q134
modelpaper
oct-2009
mar-2010
answered
May 23, 2014
by
meena.p
1
answer
$X$ 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
tnstate
class12
bookproblem
p242
objective
q132
modelpaper
oct-2008
answered
May 23, 2014
by
meena.p
1
answer
Variance of the random variable $X$ is$4$ .Its mean is $2.$ Then $E(X^{2})$ is
tnstate
class12
bookproblem
p242
objective
q133
modelpaper
jun-2007
mar-2009
answered
May 23, 2014
by
meena.p
1
answer
Given $E(X+c)=8$ and $E(X-c)=12$ then the value of $c$ is
tnstate
class12
bookproblem
p242
objective
q131
modelpaper
oct-2006
oct-2007
jun-2009
answered
May 23, 2014
by
meena.p
1
answer
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
tnstate
class12
bookproblem
p242
objective
q130
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
tnstate
class12
bookproblem
p242
objective
q129
modelpaper
mar-2009
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
tnstate
class12
bookproblem
p242
objective
q128
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
tnstate
class12
bookproblem
p242
objective
q127
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
tnstate
class12
bookproblem
p241
objective
q126
modelpaper
mar-2006
mar-2007
oct-2008
oct-2009
answered
May 22, 2014
by
meena.p
1
answer
In the set of integers under the operation $^\ast $ defined by $a^{\ast}b=a+b-1$ the identity element is
tnstate
class12
bookproblem
p241
objective
q124
modelpaper
mar-2007
answered
May 22, 2014
by
meena.p
1
answer
In the multiplicative group of $n{ th } $ roots of unity, the inverse of $\omega^{k}$ is $(k<n)$
tnstate
class12
bookproblem
p241
objective
q123
modelpaper
jun-2006
mar-2008
oct-2009
answered
May 22, 2014
by
meena.p
1
answer
The order of $-i$ in the multiplicative group of $4^{th} $ roots of unity is
tnstate
class12
bookproblem
p241
objective
q122
answered
May 22, 2014
by
meena.p
1
answer
Which of the following is correct?
tnstate
class12
bookproblem
p241
objective
q121
modelpaper
oct-2007
answered
May 22, 2014
by
meena.p
1
answer
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
tnstate
class12
bookproblem
p241
objective
q120
answered
May 22, 2014
by
meena.p
1
answer
The value of $[3]+11([5]+11[6])$ is
tnstate
class12
bookproblem
p241
objective
q119
modelpaper
mar-2006
jun-2009
answered
May 22, 2014
by
meena.p
1
answer
In the multiplicative group of cube root of unity, the order of $w^{2}$ is
tnstate
class12
bookproblem
p240
objective
q118
modelpaper
jun-2007
oct-2008
answered
May 22, 2014
by
meena.p
1
answer
The order of $[7]$ in $(Z_{9},+_{9})$ is
tnstate
class12
bookproblem
p240
objective
q117
modelpaper
oct-2006
oct-2007
jun-2008
mar-2009
answered
May 22, 2014
by
meena.p
1
answer
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
tnstate
class12
bookproblem
p240
objective
q116
modelpaper
jun-2006
answered
May 22, 2014
by
meena.p
1
answer
Which of the following is not a group?
tnstate
class12
bookproblem
p240
objective
modelpaper
oct-2008
answered
May 22, 2014
by
meena.p
1
answer
A monoid becomes a group if it also satisfies the
tnstate
class12
bookproblem
p240
objective
q114
modelpaper
mar-2008
answered
May 22, 2014
by
meena.p
1
answer
Which of the following is not a binary operation on $R$
tnstate
class12
bookproblem
p240
objective
q113
modelpaper
oct-2007
jun-2008
jun-2009
mar-2010
answered
May 22, 2014
by
meena.p
1
answer
$p\leftrightarrow q$ is equivalent to
tnstate
class12
bookproblem
p240
objective
q112
modelpaper
mar-2006
mar-2007
answered
May 22, 2014
by
meena.p
1
answer
Which of the following is a contradiction ?
tnstate
class12
bookproblem
p240
objective
q111
modelpaper
mar-2006
oct-2006
oct-2008
jun-2009
oct-2009
answered
May 22, 2014
by
meena.p
1
answer
Which of the following is a tautology?
tnstate
class12
bookproblem
p240
objective
q110
modelpaper
jun-2007
mar-2008
mar-2009
answered
May 22, 2014
by
meena.p
1
answer
The conditional statement $ p\to q$ is equivalent to
tnstate
class12
bookproblem
p240
objective
q109
modelpaper
mar-2009
answered
May 22, 2014
by
meena.p
1
answer
The number of rows in the truth table of $\sim[p\land(\sim q)]$ is
tnstate
class12
bookproblem
p240
objective
q108
modelpaper
jun-2006
jun-2008
answered
May 22, 2014
by
meena.p
1
answer
If $\;p\;$ is $T$ and $\;q$ is $F$, then which of the following have the truth value$T$? \[\begin{array}{1 1}(1)p \vee q&(2)\sim p\vee q\\(3)p \vee \sim q&(4)p \wedge\sim q\end{array}\]
tnstate
class12
bookproblem
p240
objective
q107
modelpaper
oct-2007
mar-2010
answered
May 22, 2014
by
meena.p
1
answer
If a compound statement is made up of three simple statements, then the number of rows in the truth table is
tnstate
class12
bookproblem
p240
objective
q106
modelpaper
oct-2009
answered
May 22, 2014
by
meena.p
1
answer
Which of the following are statements?\[\begin{array}{1 1}(1)May \;God \;bless\; you.&(2)Rose\; is\; a\; flower.\\(3)Milk \;is \;White.&(4)1 \;is\; a\; prime \;number.\end{array}\]
tnstate
class12
bookproblem
p240
objective
q105
answered
May 22, 2014
by
meena.p
1
answer
The particular integral of the differential equation $f(D)y=e^{ax}$ where $\;.f(D)=(D-a)g(D).g(a)\neq 0$ is
tnstate
class12
bookproblem
p239
objective
modelpaper
jun-2006
answered
May 22, 2014
by
meena.p
1
answer
The P.L of $(3D^{2}+D-14)y=13e^{2x}$ is
tnstate
class12
bookproblem
p239
objective
q103
modelpaper
mar-2006
mar-2007
answered
May 22, 2014
by
meena.p
1
answer
The integrating factor of the differential equation $\large\frac{dy}{dx}$$-y\tan x=\cos x $ is
tnstate
class12
bookproblem
p239
objective
q102
modelpaper
mar-2008
jun-2008
answered
May 22, 2014
by
meena.p
1
answer
On putting $y=vx,$ the homogeneous differential equation $x^{2}dy+y(x+y)dx=0$ becomes
tnstate
class12
bookproblem
p239
objective
q101
modelpaper
jun-2006
answered
May 22, 2014
by
meena.p
1
answer
If $f '(x)=\sqrt{x}$ and $f(1)=2$ then $f(x)$ is
tnstate
class12
bookproblem
p239
objective
q100
modelpaper
oct-2007
answered
May 22, 2014
by
meena.p
1
answer
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