Which of the following is untrue about dot plot method and its applications?

The method can be used in identifying nucleic acid secondary structures through detecting self-complementarity of a sequence

This method gives a direct visual statement of the relationship between two sequences

One of its advantages is the identification of sequence repeat regions based on the presence of parallel diagonals of the same size vertically or horizontally in the matrix

It is not useful in identifying chromosomal repeats

The method can be used in identifying nucleic acid secondary structures through detecting self-complementarity of a sequence

f(z) = (z − 1)−1 − 1 + (z − 1) − (z − 1)2 + ⋯ is the series expansion of

\(\frac{1}{(z-1)^2} ~for ~|z - 1| < 0\)

\(\frac{-1}{z(z-1)} ~for ~|z - 1| < 0\)

\(\frac{1}{z(z-1)}~ for~ |z - 1| < 0\)

\(\frac{1}{(z-1)^2} ~for ~|z - 1| < 0\)

\(\frac{-1}{(z-1)} ~for~ |z - 1| < 0\)

Let \(I = \mathop \smallint \limits_{{x_0}}^{{x_1}} f\left( x \right)dx.\) Then which of the following is false?

\(I\sim\frac{h}{3}\left[ {{y_0} + {y_n} + 4\left( {{y_1} + {y_3} + \ldots + {y_{n - 1}}} \right) + 2\left( {{y_2} + {y_4} + \ldots + {y_{n - 2}}} \right)} \right],\) n is even

\(I\sim\frac{h}{2}\left[ {{y_0} + {y_n} + \frac{1}{2}\left( {{y_1} + {y_2} + \ldots + {y_{n - 1}}} \right)} \right]\)

\(I\sim\frac{h}{3}\left[ {{y_0} + {y_n} + 4\left( {{y_1} + {y_3} + \ldots + {y_{n - 1}}} \right) + 2\left( {{y_2} + {y_4} + \ldots + {y_{n - 2}}} \right)} \right],\) n is even

\(I\sim h\left( {{y_0} + {y_1} + {y_2} + \ldots + {y_{n - 1}}} \right)\)

\(I\sim\frac{h}{{140}}\left( {41{y_0} + 216{y_1} + 27{y_2} + 272{y_3} + 27{y_4} + 216{y_5} + 41{y_6}} \right)\;\;\)

If one root of the equation f(x) = 0 is near to x0, then the first approximation of this root as calculated by Newton Raphson method is the abscissa of the point, where the following straight line intersects the x-axis”

Passing through the point (x0, y = f(x0))

The straight line through the point (x0, y = f(x0)) having the gradient \(\frac{1}{{f'\left( {{x_0}} \right)}}\)

Tangent to the curve y = f(x) at the point (x0, y = f(x0))

Passing through the point (x0, y = f(x0))

Normal to the curve y = f(x) at the point (x0, y = f(x0))

In regula falsi method the point of intersection of curve AB and x axis is replaced by:

Point of intersection of x axis and y axis

Point of intersection of y axis and curve AB

Point of intersection of y axis and chord AB

Point of intersection of x axis and chord AB

Point of intersection of x axis and y axis

Gauss forward interpolation formula involves

Odd differences above the central line and even differences on the central line

Given difference above the central line and odd differences on the central line

Even difference below the central line and odd differences on the central line

Odd differences below the central line and even differences on the central line

Odd differences above the central line and even differences on the central line

From the given data, the maximum value of y is given asx-1123y-2115123

At x = 0.1743, ymax = 15.171612

At x = 1.1743, ymax = 15.171612

At x = 0.1743, ymax = 15.171612

At x = -1.1743, ymax = 15.171612

At x = 2.1743, ymax = 15.171612

\(f(x)=f(0)+x\nabla f(0)+\frac{x(x+1)}{2!}\nabla^2f(0)+....+\frac{x(x+1)...(x+n-1)}{n!} \nabla^n f(0)\) represents

Newton forward difference formula

Newton backward difference formula

Newton forward difference formula

Newton divided difference formula

436 + Mcqs in Methods in Bioinformatics Page 5 McqOptions

201.	Pitt Rivers was a---------
A.	ethnologist
B.	sociologist
C.	philologist
D.	none
Answer» B. sociologist

202.	‘Ithaca’ was a work of------------
A.	schliemann
B.	woolley
C.	wheeler
D.	petrie
Answer» B. woolley

203.	Who excavated the city of Troy --------
A.	schliemann
B.	woolley
C.	wheeler
D.	petrie
Answer» B. woolley

204.	‘Trojan Antiquities is a work of---------
A.	schliemann
B.	woolley
C.	wheeler
D.	petrie
Answer» B. woolley

205.	Schliemann was belongs to----------
A.	germany
B.	england
C.	france
D.	canada
Answer» B. england

206.	Early India and Pakistan is a work of----------
A.	marshall
B.	wheeler
C.	mackay
D.	woolley
Answer» C. mackay

207.	‘Civilization of the Indus valley and Beyond’ was written by ----------
A.	marshall
B.	wheeler
C.	mackay
D.	woolley
Answer» C. mackay

208.	Mohenjo-Daro and the Indus civilization is a work of--------
A.	marshall
B.	wheeler
C.	mackay
D.	woolley
Answer» B. wheeler

209.	Marshall was the Director General of--------
A.	asi
B.	isi
C.	csi
D.	irdp
Answer» B. isi

210.	‘Digging up the past’ is the work of-----------
A.	woolley
B.	wheeler
C.	marshall
D.	pitt rivers
Answer» B. wheeler

211.	‘The monuments of Sanchi’ was written by---------
A.	marshall
B.	wheeler
C.	mackay
D.	woolley
Answer» B. wheeler

213.	Leonard Woolley conducted excavation at---------
A.	ur
B.	mohenjo-daro
C.	harappa
D.	memphis
Answer» B. mohenjo-daro

214.	‘Royal Cemetery’ was related to----------
A.	ur
B.	kish
C.	memphis
D.	nippur
Answer» B. kish

216.	Self complementarity of DNA sequences cannot be identified using a dot plot.
A.	True
B.	False
Answer» C.

217.	A sequence can be aligned with itself to identify internal repeat elements.
A.	True
B.	False
Answer» B. False

212.	‘A guide to Taxila’ is a work of----------
A.	woolley
B.	wheeler
C.	marshall
D.	pitt rivers
Answer» D. pitt rivers

215.	Which of the following is untrue about dot plot method and its applications?
A.	This method gives a direct visual statement of the relationship between two sequences
B.	One of its advantages is the identification of sequence repeat regions based on the presence of parallel diagonals of the same size vertically or horizontally in the matrix
C.	It is not useful in identifying chromosomal repeats
D.	The method can be used in identifying nucleic acid secondary structures through detecting self-complementarity of a sequence
Answer» D. The method can be used in identifying nucleic acid secondary structures through detecting self-complementarity of a sequence

218.	A root x4 – 3x + 1 = 0 needs to be found using the Newton-Raphson method. If the initial guess x0 and 0, then the new estimate x1 after the first iteration is
A.	-3
B.	\(\frac 12\)
C.	3
D.	\(\frac 13\)
Answer» E.

219.	f(z) = (z − 1)−1 − 1 + (z − 1) − (z − 1)2 + ⋯ is the series expansion of
A.	\(\frac{-1}{z(z-1)} ~for ~\|z - 1\| < 0\)
B.	\(\frac{1}{z(z-1)}~ for~ \|z - 1\| < 0\)
C.	\(\frac{1}{(z-1)^2} ~for ~\|z - 1\| < 0\)
D.	\(\frac{-1}{(z-1)} ~for~ \|z - 1\| < 0\)
Answer» C. \(\frac{1}{(z-1)^2} ~for ~\|z - 1\| < 0\)

220.	For the equation f(x) = x2 – x – 1 = 0, a root lies between 1 and 2. The root of equation at second interval by bisection method is
A.	1.51
B.	2
C.	1.66
D.	1.75
Answer» E.

221.	Match the application to appropriate numerical method. Application Numerical MethodP1:Numerical integrationM1:Newton-Raphson MethodP2:Solution to a transcendental equationM2:Runge-Kutta MethodP3:Solution to a system of linear equationsM3:Simpson’s 1/3-ruleP4:Solution to a differential equationM4:Gauss Elimination Method 1) P1—M3, P2—M2, P3—M4, P4—M12) P1—M3, P2—M1, P3—M4, P4—M23) P1—M4, P2—M1, P3—M3, P4—M24) P1—M2, P2—M1, P3—M3, P4—M4
A.	a
B.	b
C.	c
D.	d
Answer» C. c

222.	In order to evaluate the integral \(\displaystyle\int_{{0}}^{{1}} e^xdx \) with Simpson’s 1/3rd rule, values of the function ex are used at x = 0.0, 0.5 and 1.0. The absolute value of the error of numerical integration is
A.	0.000171
B.	0.00044
C.	0.000579
D.	0.002718
Answer» D. 0.002718

223.	A curve is drawn to pass through the followingx11.522.533.54y22.42.72.832.62.1 The area bounded by the curve, x-axis and lines x = 1, x = 4. The volume of solid generated by revolving this area using Simpson's 3/8 rule is
A.	68.54
B.	65.38
C.	63.58
D.	64.38
Answer» C. 63.58

224.	A river is 80 metre wide. The depth ‘d’ in metres at a distance ‘x’ metres from one bank is given, by the following table:X:01020304050607080D:047912151483Hence the area of c / s of the river using Simpson’s rule is:
A.	713 sq. met.
B.	710 sq. met.
C.	715 sq. met.
D.	716 sq. met.
Answer» C. 715 sq. met.

225.	f (x) = x2 + 1If xi is very close to the root then according to Newton Raphson iterative procedure, xi+1 is
A.	\(\dfrac{x^2_i - 1}{2x_i}\)
B.	\(\dfrac{2x_i}{x^2_i - 1}\)
C.	\(\dfrac{2x_i}{x^2_i + 1}\)
D.	\(\dfrac{x^2_i + 1}{2x_i}\)
Answer» B. \(\dfrac{2x_i}{x^2_i - 1}\)

Explore topic-wise MCQs in Bioinformatics.

Pitt Rivers was a---------

‘Ithaca’ was a work of------------

Who excavated the city of Troy --------

‘Trojan Antiquities is a work of---------

Schliemann was belongs to----------

Early India and Pakistan is a work of----------

‘Civilization of the Indus valley and Beyond’ was written by ----------

Mohenjo-Daro and the Indus civilization is a work of--------

Marshall was the Director General of--------

‘Digging up the past’ is the work of-----------

‘The monuments of Sanchi’ was written by---------

‘A guide to Taxila’ is a work of----------

Leonard Woolley conducted excavation at---------

‘Royal Cemetery’ was related to----------

Which of the following is untrue about dot plot method and its applications?

Self complementarity of DNA sequences cannot be identified using a dot plot.

A sequence can be aligned with itself to identify internal repeat elements.

A root x4 – 3x + 1 = 0 needs to be found using the Newton-Raphson method. If the initial guess x0 and 0, then the new estimate x1 after the first iteration is

f(z) = (z − 1)−1 − 1 + (z − 1) − (z − 1)2 + ⋯ is the series expansion of

For the equation f(x) = x2 – x – 1 = 0, a root lies between 1 and 2. The root of equation at second interval by bisection method is

In order to evaluate the integral \(\displaystyle\int_{{0}}^{{1}} e^xdx \) with Simpson’s 1/3rd rule, values of the function ex are used at x = 0.0, 0.5 and 1.0. The absolute value of the error of numerical integration is

A curve is drawn to pass through the followingx11.522.533.54y22.42.72.832.62.1 The area bounded by the curve, x-axis and lines x = 1, x = 4. The volume of solid generated by revolving this area using Simpson's 3/8 rule is

A river is 80 metre wide. The depth ‘d’ in metres at a distance ‘x’ metres from one bank is given, by the following table:X:01020304050607080D:047912151483Hence the area of c / s of the river using Simpson’s rule is:

f (x) = x2 + 1If xi is very close to the root then according to Newton Raphson iterative procedure, xi+1 is

Let \(I = \mathop \smallint \limits_{{x_0}}^{{x_1}} f\left( x \right)dx.\) Then which of the following is false?

If one root of the equation f(x) = 0 is near to x0, then the first approximation of this root as calculated by Newton Raphson method is the abscissa of the point, where the following straight line intersects the x-axis”

Back substitution is required in the following method (s) in the solution of linear simultaneous equation:

If 2.5 is the initial root of the equation x3 - x - 10 = 0 then by method of Newton - Raphson, the next approx root will be equal to-

As soon as a new variable is found by iteration, it is used immediately in the linear equations. This method is called:

Given thatx :44.24.44.64.85.05.2log x :1.38631.43511.48161.52611.56861.60941.6484 Evaluate \(\mathop \smallint \nolimits_4^{5.2} \log x\;dx\) by Trapezoidal Rule.

Consider an ordinary differential equation. \(\frac{{{\rm{dx}}}}{{{\rm{dt}}}} = 4{\rm{t}} + 4.\) If x = x0 at t = 0, the increment in x calculated using Runge-Kutta fourth order multi-step method with a step size of Δt = 0.2 is

During the determination of roots of equations x2 + 2xy = 6 and x2 - y2 = 3 using the Newton-Raphson method, the values of Jacobin matrix ‘D’ is found to be ______. If initial approximation is (1.414, 0.517).

Function f is known at the following points:x00.30.60.91.21.51.82.42.73.0f(x)00.090.360.811.442.253.245.767.299.0 The value \(\mathop \smallint \limits_0^3 f\left( x \right)dx\) computed using the trapezoidal rule is

In regula falsi method the point of intersection of curve AB and x axis is replaced by:

Match the CORRECT pairs:NumericalIntegration Scheme Order of Fitting PolynomialP. Simpson’s 3/8 Rule 1. FirstQ. Trapezoidal Rule 2. SecondR. Simpson’s 1/3 Rule3. Third

Numerical integration using trapezoidal rule gives the best result for a single variable function, which is

In Newton-cotes formula, if f(x) is interpolated at equally spaced nodes by a polynomial of degree four then it represents

If f(x) is a polynomial of degree n in x, then nth difference of this polynomial is

Gauss forward interpolation formula involves

Given thatx\(\frac{1}{{1 + {x^2}}}\)0110.520.230.140.058850.038560.027 Evaluate \(\mathop \smallint \nolimits_0^6 \frac{{dx}}{{1 + {x^2}}}\) using Simpson’s 3 / 8 rule.

Considering four subintervals, the value of \(\mathop \smallint \limits_0^1 \frac{1}{{1 + x}}dx\) by Trapezoidal rule is:

From the given data, the maximum value of y is given asx-1123y-2115123

A gradually varied flow profile can be governed by equation \(\dfrac{dy}{dx} = f(x,y)\) where x is distance and y is the depth of water above the bed level. Which of the following methods can be used for solution?

\(f(x)=f(0)+x\nabla f(0)+\frac{x(x+1)}{2!}\nabla^2f(0)+....+\frac{x(x+1)...(x+n-1)}{n!} \nabla^n f(0)\) represents

For k = 0, 1, 2,……, the steps of Newton-Raphson method for solving a non-linear equation is given as\({x_{k + 1}} = \frac{2}{3}{x_k} + \frac{5}{3}x_k^{ - 2}\)Starting from a suitable initial choice as k tends to ∞, the iterate xk tends to

In solving ordinary differential equation y’ = 2x, y(0) = 0 using Euler’s method, the iterate yn, n ϵ N satisfy

P (0, 3), Q (0.5, 4), and R (1, 5) are three points on the curve defined by. Numerical integration is carried out using both Trapezoidal rule and Simpson’s rule within limits x = 0 and x = 1 for the curve. The difference between the two results will be

By Simpson’s \({\frac{1}{3}^{rd}}\) rule, the value of \(\mathop \smallint \limits_1^7 \frac{{dx}}{x}\) is

226.	Let \(I = \mathop \smallint \limits_{{x_0}}^{{x_1}} f\left( x \right)dx.\) Then which of the following is false?
A.	\(I\sim\frac{h}{2}\left[ {{y_0} + {y_n} + \frac{1}{2}\left( {{y_1} + {y_2} + \ldots + {y_{n - 1}}} \right)} \right]\)
B.	\(I\sim\frac{h}{3}\left[ {{y_0} + {y_n} + 4\left( {{y_1} + {y_3} + \ldots + {y_{n - 1}}} \right) + 2\left( {{y_2} + {y_4} + \ldots + {y_{n - 2}}} \right)} \right],\) n is even
C.	\(I\sim h\left( {{y_0} + {y_1} + {y_2} + \ldots + {y_{n - 1}}} \right)\)
D.	\(I\sim\frac{h}{{140}}\left( {41{y_0} + 216{y_1} + 27{y_2} + 272{y_3} + 27{y_4} + 216{y_5} + 41{y_6}} \right)\;\;\)
Answer» B. \(I\sim\frac{h}{3}\left[ {{y_0} + {y_n} + 4\left( {{y_1} + {y_3} + \ldots + {y_{n - 1}}} \right) + 2\left( {{y_2} + {y_4} + \ldots + {y_{n - 2}}} \right)} \right],\) n is even

227.	Consider the following statements regarding the convergence of the Newton-Raphson procedure: 1. It does not converge to a root when the second differential coefficient changes sign2. It is preferred when the graph of (X) is nearly horizontal where it crosses the X-axis3. It is used to solve algebraic and transcendental equationsWhich of these statements are correct?
A.	1, 2, and 3
B.	1 and 2 only
C.	2 and 3 only
D.	1 and 3 only
Answer» E.

228.	If one root of the equation f(x) = 0 is near to x0, then the first approximation of this root as calculated by Newton Raphson method is the abscissa of the point, where the following straight line intersects the x-axis”
A.	The straight line through the point (x0, y = f(x0)) having the gradient \(\frac{1}{{f'\left( {{x_0}} \right)}}\)
B.	Tangent to the curve y = f(x) at the point (x0, y = f(x0))
C.	Passing through the point (x0, y = f(x0))
D.	Normal to the curve y = f(x) at the point (x0, y = f(x0))
Answer» C. Passing through the point (x0, y = f(x0))

229.	Back substitution is required in the following method (s) in the solution of linear simultaneous equation:
A.	Gauss-Elimination method
B.	Gauss-Jordan method
C.	Iterative method
D.	All of the above
Answer» B. Gauss-Jordan method

230.	If 2.5 is the initial root of the equation x3 - x - 10 = 0 then by method of Newton - Raphson, the next approx root will be equal to-
A.	2.3089
B.	2.5395
C.	2.676
D.	2.6657
Answer» B. 2.5395

231.	As soon as a new variable is found by iteration, it is used immediately in the linear equations. This method is called:
A.	Relaxation Method
B.	Gauss Seidal Method
C.	Gauss Jordan Method
D.	Jacobi Method
Answer» C. Gauss Jordan Method

232.	Given thatx :44.24.44.64.85.05.2log x :1.38631.43511.48161.52611.56861.60941.6484 Evaluate \(\mathop \smallint \nolimits_4^{5.2} \log x\;dx\) by Trapezoidal Rule.
A.	1.827887
B.	1.827655
C.	1.827867
D.	1.8278
Answer» C. 1.827867

233.	Consider an ordinary differential equation. \(\frac{{{\rm{dx}}}}{{{\rm{dt}}}} = 4{\rm{t}} + 4.\) If x = x0 at t = 0, the increment in x calculated using Runge-Kutta fourth order multi-step method with a step size of Δt = 0.2 is
A.	0.22
B.	0.44
C.	0.66
D.	0.88
Answer» E.

234.	During the determination of roots of equations x2 + 2xy = 6 and x2 - y2 = 3 using the Newton-Raphson method, the values of Jacobin matrix ‘D’ is found to be ______. If initial approximation is (1.414, 0.517).
A.	- 4
B.	- 8
C.	- 12
D.	+ 4
Answer» D. + 4

235.	Function f is known at the following points:x00.30.60.91.21.51.82.42.73.0f(x)00.090.360.811.442.253.245.767.299.0 The value \(\mathop \smallint \limits_0^3 f\left( x \right)dx\) computed using the trapezoidal rule is
A.	8.983
B.	9.003
C.	9.017
D.	9.045
Answer» E.