The average marks per student in a class of 30 students were 45. On rechecking it was found that marks had been entered wrongly in two cases. After correction these marks were increased by 24 and 34 in the two cases. The correct average marks per student are
Previous 10 Questions — NIMCET 2010
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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
Topic: NIMCET 2010
One hundred identical coins, each with probability $p$ of showing up a head, are tossed. If $0
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A coin is tossed three times. Probability of getting heads and tails alternately is:
Topic: NIMCET 2010
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?
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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 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
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If any tangent to the ellipse $\frac{X^2}{a^2} + \frac{Y^2}{b^2} = 1$ intercepts equal length $l$ on both axes, then $l…
Topic: NIMCET 2010
