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Recent questions in Numerical Methods
1
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1
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21
GATE CSE 1987 | Question: 1-xxiv
The simplex method is so named because It is simple. It is based on the theory of algebraic complexes. The simple pendulum works on this method. No one thought of a better name.
makhdoom ghaya
asked
in
Numerical Methods
Nov 9, 2016
by
makhdoom ghaya
751
views
gate1987
numerical-methods
simplex-method
out-of-gate-syllabus
3
votes
1
answer
22
UGC NET CSE | December 2014 | Part 3 | Question: 69
Five men are available to do five different jobs. From past records, the time (in hours) that each man takes to do each job is known and is given in the following table : Find out the minimum time required to complete all the jobs. $5$ $11$ $13$ $15$
makhdoom ghaya
asked
in
Numerical Methods
Aug 2, 2016
by
makhdoom ghaya
7.4k
views
ugcnetcse-dec2014-paper3
assignment-problem
hungarian-method
4
votes
2
answers
23
ISRO2011-52
Given X: 0 10 16 Y: 6 16 28 The interpolated value X=4 using piecewise linear interpolation is 11 4 22 10
go_editor
asked
in
Numerical Methods
Jun 23, 2016
by
go_editor
3.1k
views
isro2011
interpolation
non-gate
3
votes
2
answers
24
ISRO2009-51
The formula $P_k = y_0 + k \triangledown y_0+ \frac{k(k+1)}{2} \triangledown ^2 y_0 + \dots + \frac{k \dots (k+n-1)}{n!} \triangledown ^n y_0$ is Newton's backward formula Gauss forward formula Gauss backward formula Stirling's formula
go_editor
asked
in
Numerical Methods
Jun 15, 2016
by
go_editor
1.9k
views
isro2009
numerical-methods
4
votes
2
answers
25
ISRO2009-48
The cubic polynomial $y(x)$ which takes the following values: $y(0)=1, y(1)=0, y(2)=1$ and $y(3)=10$ is $x^3 +2x^2 +1$ $x^3 +3x^2 -1$ $x^3 +1$ $x^3 -2x^2 +1$
go_editor
asked
in
Numerical Methods
Jun 15, 2016
by
go_editor
1.9k
views
isro2009
polynomials
3
votes
1
answer
26
ISRO2009-47
The formula $\int\limits_{x0}^{xa} y(n) dx \simeq h/2 (y_0 + 2y_1 + \dots +2y_{n-1} + y_n) - h/12 (\triangledown y_n - \triangle y_0)$ $- h/24 (\triangledown ^2 y_n + \triangle ^2 y_0) -19h/720 (\triangledown ^3 y_n - \triangle ^3 y_0) \dots $ is called Simpson rule Trapezoidal rule Romberg's rule Gregory's formula
go_editor
asked
in
Numerical Methods
Jun 15, 2016
by
go_editor
1.5k
views
isro2009
numerical-methods
non-gate
4
votes
1
answer
27
ISRO2009-46
The shift operator $E$ is defined as $E [f(x_i)] = f (x_i+h)$ and $E'[f(x_i)]=f (x_i -h)$ then $\triangle$ (forward difference) in terms of $E$ is $E-1$ $E$ $1-E^{-1}$ $1-E$
go_editor
asked
in
Numerical Methods
Jun 15, 2016
by
go_editor
8.1k
views
isro2009
8
votes
1
answer
28
ISRO2009-44
A root $\alpha$ of equation $f(x)=0$ can be computed to any degree of accuracy if a 'good' initial approximation $x_0$ is chosen for which $f(x_0) > 0$ $f (x_0) f''(x_0) > 0$ $f(x_0) f'' (x_0) < 0$ $f''(x_0) >0$
Desert_Warrior
asked
in
Numerical Methods
Jun 3, 2016
by
Desert_Warrior
2.9k
views
isro2009
numerical-methods
3
votes
2
answers
29
ISRO-2013-48
The Guass-Seidal iterative method can be used to solve which of the following sets? Linear algebraic equations Linear and non-linear algebraic equations Linear differential equations Linear and non-linear differential equations
makhdoom ghaya
asked
in
Numerical Methods
Apr 29, 2016
by
makhdoom ghaya
4.2k
views
isro2013
numerical-methods
guass-seidal-iterative-method
12
votes
3
answers
30
GATE CSE 2015 Set 3 | Question: 50
The velocity $v$ (in kilometer/minute) of a motorbike which starts form rest, is given at fixed intervals of time $t$ (in minutes) as follows: t 2 4 6 8 10 12 14 16 18 20 v 10 18 25 29 32 20 11 5 2 0 The approximate distance (in kilometers) rounded to two places of decimals covered in 20 minutes using Simpson's $1/3^{rd}$ rule is ________.
go_editor
asked
in
Numerical Methods
Feb 16, 2015
by
go_editor
7.5k
views
gatecse-2015-set3
numerical-methods
simpsons-rule
normal
numerical-answers
out-of-syllabus-now
non-gate
8
votes
2
answers
31
GATE CSE 2015 Set 2 | Question: 39
The secant method is used to find the root of an equation $f(x)=0$. It is started from two distinct estimates $x_a$ and $x_b$ for the root. It is an iterative procedure involving linear interpolation to a root. The iteration stops if $f(x_b)$ is very small and then $x_b$ is ... $x_b - (x_b-x_a) f_b / (f_b-f(x_a)) $ $x_a - (x_b-x_a) f_a / (f_b-f(x_a)) $
go_editor
asked
in
Numerical Methods
Feb 12, 2015
by
go_editor
4.7k
views
gatecse-2015-set2
numerical-methods
secant-method
0
votes
1
answer
32
calculus
The estimate of $\int_{0.5}^{1.5}\frac{dx}{x}$ obtained using Simpson’s rule with threepoint function evaluation exceeds the exact value by (A) 0.235 (B) 0.068 (C) 0.024 (D) 0.012
Nisha kumari
asked
in
Numerical Methods
Jan 30, 2015
by
Nisha kumari
1.7k
views
numerical-methods
simpsons-rule
non-gate
0
votes
0
answers
33
2012 numerical methed
Nisha kumari
asked
in
Numerical Methods
Jan 29, 2015
by
Nisha kumari
289
views
numerical-methods
out-of-syllabus-now
non-gate
1
vote
1
answer
34
GATE IT 2005 | Question: 2
If the trapezoidal method is used to evaluate the integral obtained $\int_{0}^{1} x^2dx$, then the value obtained is always > (1/3) is always < (1/3) is always = (1/3) may be greater or lesser than (1/3)
Ishrat Jahan
asked
in
Numerical Methods
Nov 3, 2014
by
Ishrat Jahan
1.5k
views
gateit-2005
numerical-methods
trapezoidal-rule
normal
2
votes
0
answers
35
GATE IT 2004 | Question: 39
Consider the following iterative root finding methods and convergence properties: Iterative root finding methods Convergence properties Q. False Position I. Order of convergence = 1.62 R. Newton Raphson II. Order of convergence = 2 S. Secant III. Order of convergence = 1 with guarantee of convergence T. ... R-II, S-I, T-IV Q-II, R-I, S-IV, T-III Q-I, R-IV, S-II, T-III
Ishrat Jahan
asked
in
Numerical Methods
Nov 2, 2014
by
Ishrat Jahan
1.7k
views
gateit-2004
numerical-methods
normal
3
votes
1
answer
36
GATE IT 2004 | Question: 38
If f(l) = 2, f(2) = 4 and f(4) = 16, what is the value of f(3) using Lagrange's interpolation formula? 8 8(1/3) 8(2/3) 9
Ishrat Jahan
asked
in
Numerical Methods
Nov 2, 2014
by
Ishrat Jahan
3.6k
views
gateit-2004
numerical-methods
lagranges-interpolation
normal
out-of-syllabus-now
non-gate
8
votes
3
answers
37
GATE IT 2006 | Question: 28
The following definite integral evaluates to $\int_{-\infty}^{0} e^ {-\left(\frac{x^2}{20} \right )}dx$ $\frac{1}{2}$ $\pi \sqrt{10}$ $\sqrt{10}$ $\pi$
Ishrat Jahan
asked
in
Numerical Methods
Oct 31, 2014
by
Ishrat Jahan
5.0k
views
gateit-2006
numerical-methods
normal
non-gate
0
votes
0
answers
38
GATE IT 2006 | Question: 27
Match the following iterative methods for solving algebraic equations and their orders of convergence. Method Order of Convergence 1. Bisection P. 2 or more 2. Newton-Raphson Q. 1.62 3. Secant R. 1 4. Regula falsi S. 1 bit per iteration I-R, II-S, III-P, IV-Q I-S, II-R, III-Q, IV-P I-S, II-Q, III-R, IV-P I-S, II-P, III-Q, IV-R
Ishrat Jahan
asked
in
Numerical Methods
Oct 31, 2014
by
Ishrat Jahan
1.4k
views
gateit-2006
numerical-methods
normal
out-of-gate-syllabus
4
votes
1
answer
39
GATE IT 2007 | Question: 77
Consider the sequence $\left \langle x_n \right \rangle,\; n \geq 0$ defined by the recurrence relation $x_{n + 1} = c \cdot (x_n)^2 - 2$, where $c > 0$. For which of the following values of $c$, does there exist a non-empty open interval $(a, b)$ such that the ... $0.25$ $0.35$ $0.45$ $0.5$ i only i and ii only i, ii and iii only i, ii, iii and iv
Ishrat Jahan
asked
in
Numerical Methods
Oct 30, 2014
by
Ishrat Jahan
1.5k
views
gateit-2007
numerical-methods
normal
non-gate
0
votes
1
answer
40
GATE IT 2007 | Question: 22
The trapezoidal method is used to evaluate the numerical value of $\int_{0}^{1}e^x dx$. Consider the following values for the step size h. 10-2 10-3 10-4 10-5 For which of these values of the step size h, is the computed value guaranteed to be correct ... that there are no round-off errors in the computation. iv only iii and iv only ii, iii and iv only i, ii, iii and iv
Ishrat Jahan
asked
in
Numerical Methods
Oct 29, 2014
by
Ishrat Jahan
1.5k
views
gateit-2007
numerical-methods
trapezoidal-rule
normal
out-of-syllabus-now
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