In a group of 200 students, the mean and the standard deviation of scores were found to be 40 and 15, respectively. Later on it was found that the two scores 43 and 35 were misread as 34 and 53, respectively. The corrected mean of scores is:
Previous 10 Questions — NIMCET 2014
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If [x] represents the greatest integer not exceeding x, then $\int_{0}^{9} [x] dx $ is
Topic: NIMCET 2014
The number of ways in which 5 days can be chosen in each of the 12 months of a non-leap year, is:
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The value of $\int_{0}^{\pi/4} log(1+tanx)dx$ is equal to:
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For the vectors $\vec{a}=-4\hat{i}+2\hat{j}, \vec{b}=2\hat{i}+\hat{j}$ and $\vec{c}=2\hat{i}+3\hat{j}$, if $\vec{c}=m\v…
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The value of $\int \sqrt{x} e^{\sqrt{x}} dx$ is equal to:
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Constant forces $\vec{P}= 2\hat{i} - 5\hat{j} + 6\hat{k} $ and $\vec{Q}= -\hat{i} + 2\hat{j}- \hat{k}$&n…
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The locus of the intersection of the two lines $\sqrt{3} x-y=4k\sqrt{3}$ and $k(\sqrt{3}x+y)=4\sqrt{3}$, for different
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A chain of video stores sells three different brands of DVD players. Of its DVD player sales, 50% are
brand 1, 30% are …
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An equilateral triangle is inscribed in the parabola $y^{2} = 4ax$, such that one of the vertices of the triangle
coin…
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A password consists of two alphabets from English followed by three numbers chosen from 0 to 3.
If repetitions are allo…
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Next 10 Questions — NIMCET 2014
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If the matrix $ \begin{bmatrix}
-1 & 3 & 2 \\
1& k &-3 \\
1 & 4 & 5\\
\end{bmatrix}$ has an …
Topic: NIMCET 2014
The mean deviation from the mean of the AP a, a + d, a + 2d, ..., a + 2nd, is:
Topic: NIMCET 2014
If (x0, y0) is the solution of the equations (2x)ln2 = (3y)ln3 and 3lnx = 2lny, then x0 is:
Topic: NIMCET 2014
The value of tan 1° tan 2° tan 3° ... tan 89° is:
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If $\alpha$ and $\beta$ are the roots of the equation $2x^{2}+ 2px + p^{2} = 0$, where $p$ is a non-zero real number, a…
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The number of ways to arrange the letters of the English alphabet, so that there are exactly 5 letters between a and b,…
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Suppose, the system of linear equations -2x + y + z = l x - 2y + z = m x + y - 2z = n is such that …
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If $\vec{A}=4\hat{i}+3\hat{j}+\hat{k}$ and $\vec{B}=2\hat{i}-\hat{j}+2\hat{k}$ , then the unit vector $\hat{N}$ perpend…
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The value of $\int \frac{(x+1)}{x(xe^{x}+1)} dx$ is equal to
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The sum of two vectors $\vec{a}$ and $\vec{b}$ is a vector $\vec{c}$ such that $|\vec{a}|=|\vec{b}|=|\vec{c}|=2$. Then,…
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