n a Poisson distribution if $P[X=3] = \frac{1}{4} P[X=4]$ then $P[X=5] = k P[X=7]$ where $k$ equals to
Previous 10 Questions — NIMCET 2010
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One hundred identical coins, each with probability $p$ of showing up a head, are tossed. If $0
Topic: NIMCET 2010
A coin is tossed three times. Probability of getting heads and tails alternately is:
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India plays 4 matches. Probabilities of scoring $0,1,2$ points: $0.45,\ 0.05,\ 0.50$. Find probability of at least $7$ …
Topic: NIMCET 2010
If $(1+x)^n = a_0 + a_1 x + a_2 x^2 + \dots + a_n x^n$, then
$\left(1+\frac{a_1}{a_0}\right)\left(1+\frac{a_2}{a_1}\rig…
Topic: NIMCET 2010
Set $A$ has $3$ elements. Set $B$ has $4$ elements. Number of injections?
Topic: NIMCET 2010
Survey: $63%$ like cheese, $76%$ like apples. If $x%$ like both?
Topic: NIMCET 2010
Identify the wrong statement.
Topic: NIMCET 2010
How many proper subsets of ${1,2,3,4,5,6,7}$ contain the numbers $1$ and $7$?
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Next 10 Questions — NIMCET 2010
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The average marks per student in a class of 30 students were 45. On rechecking it was found that marks had been entered…
Topic: NIMCET 2010
The value of ‘a’ for which the system of equations
$a^3 x + (a+1)^3 y + (a+2)^3 z = 0$
$ax + (a+1) y + (a+2) z = 0$
$x…
Topic: NIMCET 2010
The value of $X^4 + 9X^3 + 35X^2 - X + 4$ for $X = -5 + 2\sqrt{-4}$ is
Topic: NIMCET 2010
If $y = a \log x + b x^2 + x$ has its extremum value at $x = -1$ and $x = 2$, then
Topic: NIMCET 2010
If $a, b, c$ are in A.P., $p, q, r$ are in H.P. and $ap, bq, cr$ in G.P.$,$ then $\frac{p}{r} + \frac{r}{p}$ is equal to
Topic: NIMCET 2010
If $a \ne p$, $b \ne q$, $c \ne r$ and
$\left|\begin{matrix}
p & b & c \\
a & q & c \\
a & b & r
\end{matrix}\right| =…
Topic: NIMCET 2010
If $\omega \ne 1$ is a cube root of unity and $i = \sqrt{-1}$, the value of the determinant
$\left|\begin{matrix}
1 …
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The point $(4,1)$ undergoes the following transformations successively:
(i) Reflection about the line $y=x$
(ii) Transl…
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If the two pair of lines $X^2 - 2mXY - Y^2 = 0$ and $X^2 - 2nXY - Y^2 = 0$ are such that one represents the bisector of…
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The circle $x^2 + y^2 = 9$ is contained in the circle $x^2 + y^2 - 6x - 8y + 25 = c^2$ if
Topic: NIMCET 2010
