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Recent questions tagged nielit2016mar-scientistb

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NIELIT 2016 MAR Scientist B - Section B: 6
The system of simultaneous equations$x+2y+z=6\\2x+y+2z=6\\x+y+z=5$hasunique solution.infinite number of solutions.no solution.exactly two solutions.
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NIELIT 2016 MAR Scientist B - Section B: 7
In which of the following methods proper choice of initial value is very important?Bisection methodFalse positionNewton-RaphsonBairsto method
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NIELIT 2016 MAR Scientist B - Section B: 8
If $\Delta f(x)= f(x+h)-f(x)$, then a constant $k,\Delta k$1$0$f(k)-f(0)$f(x+k)-f(x)$
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NIELIT 2016 MAR Scientist B - Section B: 9
The value of improper integral $\displaystyle\int_{0}^{1} x\ln x =?$1/4$0$-1/4$1$
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NIELIT 2016 MAR Scientist B - Section B: 10
Maxima and minimum of the function $f(x)=2x^3-15x^2+36x+10$ occur; respectively at $x=3$ and $x=2$x=1$ and $x=3$x=2$ and $x=3$x=3$ and $x=4$
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NIELIT 2016 MAR Scientist B - Section B: 11
What is the derivative w.r.t $x$ of the function given by$\large \Phi(x)= \displaystyle \int_{0}^{x^2}\sqrt t\:dt$,$2x^2$\sqrt x$0$1$
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NIELIT 2016 MAR Scientist B - Section B: 12
If $A$ and $B$ are square matrices of size $n\times n$, then which of the following statements is not true?$\det(AB)=\det(A) \det(B)$\det(kA)=k^n \det(A)$\det(A+B)=\det(A)+\det(B)$\det(A^T)=1/\det(A^{-1})$
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NIELIT 2016 MAR Scientist B - Section B: 13
$\underset{x\to 0}{\lim} \dfrac{(1-\cos x)}{2}$ is equal to$0$1$1/3$1/2$
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NIELIT 2016 MAR Scientist B - Section B: 14
The minimum value of $\mid x^2-5x+2\mid$ is$-5$0$-1$-2$
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NIELIT 2016 MAR Scientist B - Section B: 15
Differential equation, $\dfrac{d^2x}{dt^2}+10\dfrac{dx}{dt}+25x=0$ will have a solution of the form $(C_1+C_2t)e^{-5t}$C_1e^{-2t}$C_1e^{-5t}+C_2e^{5t}$C_1e^{-5t}+C_2e^{2t}$where $C_1$ and $C_2$ are constants.
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NIELIT 2016 MAR Scientist B - Section B: 16
A box contains $10$ screws, $3$ of which are defective. Two screws are drawn at random with replacement. The probability that none of two screws is defective will be$100\%$50\%$49\%$None of these.
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NIELIT 2016 MAR Scientist B - Section B: 17
Following marks are obtained by the students in a test:$81,72,90,90,86,85,92,70,71,83,89,95,85,79,62$. Range of the marks is$9$17$27$33$
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