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Recent questions tagged nielit2016mar-scientistb
4
votes
1
answer
61
NIELIT 2016 MAR Scientist B - Section B: 6
The system of simultaneous equations $x+2y+z=6\\2x+y+2z=6\\x+y+z=5$ has unique solution. infinite number of solutions. no solution. exactly two solutions.
admin
asked
in
Linear Algebra
Mar 31, 2020
by
admin
712
views
nielit2016mar-scientistb
engineering-mathematics
linear-algebra
system-of-equations
0
votes
1
answer
62
NIELIT 2016 MAR Scientist B - Section B: 7
In which of the following methods proper choice of initial value is very important? Bisection method False position Newton-Raphson Bairsto method
admin
asked
in
Numerical Methods
Mar 31, 2020
by
admin
1.9k
views
nielit2016mar-scientistb
non-gate
numerical-methods
1
vote
0
answers
63
NIELIT 2016 MAR Scientist B - Section B: 8
If $\Delta f(x)= f(x+h)-f(x)$, then a constant $k,\Delta k$ $1$ $0$ $f(k)-f(0)$ $f(x+k)-f(x)$
admin
asked
in
Set Theory & Algebra
Mar 31, 2020
by
admin
450
views
nielit2016mar-scientistb
discrete-mathematics
set-theory&algebra
functions
1
vote
1
answer
64
NIELIT 2016 MAR Scientist B - Section B: 9
The value of improper integral $\displaystyle\int_{0}^{1} x\ln x =?$ $1/4$ $0$ $-1/4$ $1$
admin
asked
in
Calculus
Mar 31, 2020
by
admin
721
views
nielit2016mar-scientistb
engineering-mathematics
calculus
integration
definite-integral
1
vote
1
answer
65
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 $x=4$
admin
asked
in
Calculus
Mar 31, 2020
by
admin
556
views
nielit2016mar-scientistb
engineering-mathematics
calculus
maxima-minima
1
vote
2
answers
66
NIELIT 2016 MAR Scientist B - Section B: 11
What is the derivative w.r.t $x$ of the function given by $\large \Phi(x)= \displaystyle \int_{0}^{x^2}\sqrt t\:dt$, $2x^2$ $\sqrt x$ $0$ $1$
admin
asked
in
Calculus
Mar 31, 2020
by
admin
546
views
nielit2016mar-scientistb
engineering-mathematics
calculus
integration
definite-integral
3
votes
2
answers
67
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? $\det(AB)=\det(A) \det(B)$ $\det(kA)=k^n \det(A)$ $\det(A+B)=\det(A)+\det(B)$ $\det(A^T)=1/\det(A^{-1})$
admin
asked
in
Linear Algebra
Mar 31, 2020
by
admin
6.5k
views
nielit2016mar-scientistb
engineering-mathematics
linear-algebra
determinant
1
vote
2
answers
68
NIELIT 2016 MAR Scientist B - Section B: 13
$\underset{x\to 0}{\lim} \dfrac{(1-\cos x)}{2}$ is equal to $0$ $1$ $1/3$ $1/2$
admin
asked
in
Calculus
Mar 31, 2020
by
admin
603
views
nielit2016mar-scientistb
engineering-mathematics
calculus
limits
0
votes
1
answer
69
NIELIT 2016 MAR Scientist B - Section B: 14
The minimum value of $\mid x^2-5x+2\mid$ is $-5$ $0$ $-1$ $-2$
admin
asked
in
Calculus
Mar 31, 2020
by
admin
563
views
nielit2016mar-scientistb
engineering-mathematics
calculus
maxima-minima
0
votes
0
answers
70
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.
admin
asked
in
Calculus
Mar 31, 2020
by
admin
311
views
nielit2016mar-scientistb
non-gate
differential-equation
2
votes
3
answers
71
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.
admin
asked
in
Probability
Mar 31, 2020
by
admin
1.1k
views
nielit2016mar-scientistb
engineering-mathematics
probability
2
votes
1
answer
72
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 $9$ $17$ $27$ $33$
admin
asked
in
Probability
Mar 31, 2020
by
admin
661
views
nielit2016mar-scientistb
statistics
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