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Computer Programming and Numerical Analysis MCQ

What is FEE method?

Finance, Economics, and Entrepreneurship

Feldman-Eckelberry method

Fast E-function Evaluation

Fourier Expansion of Exponentials

Answer

Correct Answer: Fast E-function Evaluation

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What does the FEE method allow for?

Fast analysis of data

Fast evaluation of functions

Fast summation of series

Fast multiplication of matrices

Answer

Correct Answer: Fast summation of series

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What does the AGM method compute?

Arithmetic– geometric mean

Geometric mean

Arithmetic mean

Arithmetic– harmonic mean

Answer

Correct Answer: Arithmetic– geometric mean

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What is Spouge's approximation?

Lanczos' approximation

Approximation of pi

Modification of Stirling's approximation

Approximation of e

Answer

Correct Answer: Modification of Stirling's approximation

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What is BKM algorithm?

A fast Fourier transform algorithm

Shift-and-add algorithm using a table of logarithms and complex numbers

An elliptic curve digital signature algorithm

A quantum algorithm for solving systems of linear equations

Answer

Correct Answer: Shift-and-add algorithm using a table of logarithms and complex numbers

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What is CORDIC?

Shift-and-multiply algorithm using a table of arc tangents

Shift-and-subtract algorithm using a table of arc tangents

Shift-and-add algorithm using a table of arc tangents

Add algorithm using a table of arc tangents

Answer

Correct Answer: Shift-and-add algorithm using a table of arc tangents

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What are trigonometric tables used for?

To calculate the surface area of a triangle

To calculate values of trigonometric functions

To measure the angles of triangles

To calculate the volume of a pyramid

Answer

Correct Answer: To calculate values of trigonometric functions

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What are Trigonometric tables?

A device used to measure angles

A type of wood used to make furniture

A mathematical table used to calculate the trigonometric functions

A method of generating electricity

Answer

Correct Answer: A mathematical table used to calculate the trigonometric functions

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Which of the following is NOT an elementary function?

Quadratic function

Trigonometric function

Exponential function

Logarithmic function

Answer

Correct Answer: Quadratic function

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What is the Fast Inverse Square Root algorithm used for?

Calculating 1 / √x

Dividing two numbers

Converting binary to decimal

Finding the square root of a number

Answer

Correct Answer: Calculating 1 / √x

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What does the Alpha max plus beta min algorithm approximate?

Cos(x,y)

Sin(x,y)

Hypot(x,y)

Tan(x,y)

Answer

Correct Answer: Hypot(x,y)

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What is the Shifting nth root algorithm similar to?

Addition

Multiplication

Subtraction

Long division

Answer

Correct Answer: Long division

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What is a real number that results from squaring a number?

Cube root

Radix point

Encryption

Square root

Answer

Correct Answer: Square root

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What is Estrin's scheme?

Modification of the Horner scheme with more possibilities for parallelization

A scheme to make estrogens

A scheme involving the HORNER reaction

A scheme to make parallel lines

Answer

Correct Answer: Modification of the Horner scheme with more possibilities for parallelization

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What is a number's multiplicative inverse also known as?

Quotient

Product

Integer

Reciprocal

Answer

Correct Answer: Reciprocal

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What is a multiplicative inverse?

A number's reciprocal

A number's cube root

A number's square root

A number's additive inverse

Answer

Correct Answer: A number's reciprocal

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How is the Newton-Raphson division used to find the reciprocal of D?

By Raphson's method

By dividing N by the reciprocal of D

By Newton's method

By multiplying N by the reciprocal of D

Answer

Correct Answer: By Newton's method

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What is the final quotient in Newton-Raphson division?

Q=N*(1/D)

Q=N*D

Q=N/D

Q=D/N

Answer

Correct Answer: Q=N*(1/D)

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What is the division algorithm?

For finding the slope of a line

For computing quotient and/or remainder of two numbers

For computing the area of a rectangle

For converting from Celsius to Fahrenheit

Answer

Correct Answer: For computing quotient and/or remainder of two numbers

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What is Fürer's algorithm?

Asymptotically slightly faster than Schönhage–Strassen

An algorithm for factoring large numbers

A sorting algorithm

An algorithm for multiplying large numbers

Answer

Correct Answer: Asymptotically slightly faster than Schönhage–Strassen

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What is the Schönhage–Strassen algorithm based on?

Fast Fourier transform

Linear algebra

Matrix multiplication

Fourier transform

Answer

Correct Answer: Fourier transform

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What is Toom-Cook multiplication?

A ballet step

A kind of Russian folk dance

Generalization of Karatsuba multiplication

Addition of two very large numbers

Answer

Correct Answer: Generalization of Karatsuba multiplication

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What is theKaratsuba algorithm?

A method for exponentiation

The first algorithm which is faster than straightforward multiplication

A method for Matrix multiplication

A sorting algorithm

Answer

Correct Answer: The first algorithm which is faster than straightforward multiplication

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Multiplication is classified as which of the following?

A set of related multiplication tables

A written method of solving equations

A procedure or method for computing the product of two numbers

A way of representing numbers

Answer

Correct Answer: A procedure or method for computing the product of two numbers

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Which of the following is not a consequence of pairwise summation?

It is more accurate

It is faster

It is cheaper

It is slightly worse than Kahan summation

Answer

Correct Answer: It is cheaper

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What is truncation error?

Committing an error in coding

Error committed in rounding off

Error committed when a number is too large

Error committed by doing only a finite numbers of steps

Answer

Correct Answer: Error committed by doing only a finite numbers of steps

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What is false precision?

Giving more significant figures than appropriate.

Using estimation when necessary.

Rounding off numbers to an appropriate level of precision.

Expressing numbers in scientific notation.

Answer

Correct Answer: Giving more significant figures than appropriate.

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What is the formula for relative change?

Relative change = |x - y| / max(|x|, |y|)

Relative change = |x - y| / min(|x|, |y|)

Relative change = (x - y) / min(|x|, |y|)

Relative change = (x - y) / max(|x|, |y|)

Answer

Correct Answer: Relative change = |x - y| / max(|x|, |y|)

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What is the definition of interval propagation?

The process of reasoning over interval temporal domain

Dividing an interval into subintervals

Contracting interval domains without removing any value consistent with the constraints

Identifying and adding new melodic intervals

Answer

Correct Answer: Contracting interval domains without removing any value consistent with the constraints

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What does interval arithmetic represent?

Every number by two floating-point numbers

The square root of two

Answer

Correct Answer: Every number by two floating-point numbers

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What does truncation mean?

Rounding a floating-point number by discarding all digits before a certain digit.

Rounding a floating-point up to the nearest integer.

Keeping all digits after a certain digit.

Rounding a floating-point number by discarding all digits after a certain digit.

Answer

Correct Answer: Rounding a floating-point number by discarding all digits after a certain digit.

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What is the purpose of a guard digit?

To reduce round-off error

To improve accuracy

To speed up computation

To introduce extra precision

Answer

Correct Answer: To reduce round-off error

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What is the sinc function?

Sin(x) * x

Cos(x) / x

Sinc(x) = sin(x) / x

1 / x

Answer

Correct Answer: Sinc(x) = sin(x) / x

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What is the meaning of Level set?

A data structure that represents a set of levels or data depths

A data structure that represents a set of directed graphs

A data structure that represents a set of points in space

A data structure that represents a set of connected line segments

Answer

Correct Answer: A data structure that represents a set of levels or data depths

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What are level set data structures used for?

Manipulating data

Analyzing data

Representing level sets

Sorting data

Answer

Correct Answer: Representing level sets

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What does the collocation method do?

Determines the closeness of two objects

Approximates a continuous equation by fitting it to a set of discrete data points

Computes certain points of a continuous equation

Discretizes a continuous equation by requiring it only to hold at certain points

Answer

Correct Answer: Discretizes a continuous equation by requiring it only to hold at certain points

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What is the name of the list of ten problems proposed by Nick Trefethen in 2002?

P = NP problem

Abel Prize

Millennium Prize Problems

Hundred-dollar, Hundred-digit Challenge problems

Answer

Correct Answer: Hundred-dollar, Hundred-digit Challenge problems

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What is the name of the French king who encouraged the development of ballet?

King Louis XIV

King Louis XVI

King Louis XV

King Francis I

Answer

Correct Answer: King Louis XIV

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What is symbolic-numeric computation?

A type of computer

A method of computation

A branch of mathematics

Combination of symbolic and numeric methods

Answer

Correct Answer: Combination of symbolic and numeric methods

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What is the expected performance of algorithms under slight random perturbations of worst-case inputs called?

Best-case analysis

Averaged analysis

Smoothed analysis

Amortized analysis

Answer

Correct Answer: Smoothed analysis

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What is the main difference between local and global convergence?

Whether the sequence converges to the same limit regardless of the order in which the terms are taken

Whether you need a good initial guess to get convergence

Whether the limit is unique

Whether the sequence always converges to a limit

Answer

Correct Answer: Whether you need a good initial guess to get convergence

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What is the Digital Library of Mathematical Functions?

Successor of book by Abramowitz and Stegun

A library

A digital library

A book by Abramowitz and Stegun

Answer

Correct Answer: Successor of book by Abramowitz and Stegun

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Abramowitz and Stegun is a book containing formulas and tables of which type of functions?

Quadratic

Polynomial

Special

Linear

Answer

Correct Answer: Special

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What is the full name of the book?

Special Functions and Their Applications

A Treatise on Special Functions

Tables of Integrals, Series, and Products

Abramowitz and Stegun

Answer

Correct Answer: Abramowitz and Stegun

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What is the Van Wijngaarden transformation used for?

Solving a system of linear equations

Accelerating the convergence of an alternating series

Multiplying two matrices

Dividing two matrices

Answer

Correct Answer: Accelerating the convergence of an alternating series

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What is the Shanks transformation similar to?

Euler's method

Partial sums

Aitken's delta-squared process

Simpson's rule

Answer

Correct Answer: Aitken's delta-squared process

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What does Minimum polynomial extrapolation do?

It is used to approximate a polynomial function

It is used to find the minimum of a polynomial function

It is used to approximate a scalar sequence

It is used to approximate a vector sequence

Answer

Correct Answer: It is used to approximate a vector sequence

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What is Aitken's delta-squared process most useful for?

Solves the halting problem

Linearly converging sequences

Non-linear equations

Derivatives of sequences

Answer

Correct Answer: Linearly converging sequences

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What is series acceleration?

A method to make a series diverge faster

A way to make a series converge faster

A method to accelerate the speed of convergence of a series

A method to improve the accuracy of a series

Answer

Correct Answer: A method to accelerate the speed of convergence of a series

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What does "rate at which numerical solution of differential equation converges to exact solution" mean?

The speed at which the numerical solution of the differential equation approaches an approximate value of the solution.

The speed at which the numerical solution of the differential equation approaches the true value of the solution.

Answer

Correct Answer: The speed at which the numerical solution of the differential equation approaches the true value of the solution.

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What is the rate of convergence?

The speed at which a convergent sequence approaches its limit

How quickly a sequence converges

A sequence that does not converge

The limit of a convergent sequence

Answer

Correct Answer: The speed at which a convergent sequence approaches its limit

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What is a variable?

An operating system

A reserved keyword in java

A named memory location in which a program can store intermediate results and from which it can read them.

A programming language

Answer

Correct Answer: A named memory location in which a program can store intermediate results and from which it can read them.

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What intermediate results can a program store in a variable?

Integer values

Memory locations

Objects

Strings

Answer

Correct Answer: Memory locations

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What is a Type A tag?

A tag attached to variables and values used in determining what variables may be assigned to what values.

A tag attached to variables and values used in determining what variables may be assigned to what variables.

A tag attached to variables and values used in determining what values may be assigned to what variables.

Answer

Correct Answer: A tag attached to variables and values used in determining what values may be assigned to what variables.

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What is a superclass?

A class that passes attributes and methods up the hierarchy to superclasses.

A class that passes attributes and methods down the hierarchy to subclasses.

The most parent class in a class hierarchy.

A class that inherits from two or more classes.

Answer

Correct Answer: A class that passes attributes and methods down the hierarchy to subclasses.

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What is a subroutine?

A software development method

A section of code that implements a task.

A programming language

A type of computer memory

Answer

Correct Answer: A section of code that implements a task.

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What is a subprogram?

A program that is written in a different language than the main program.

A program contained within a larger program.

A program that is not related to the main program

A smaller program

Answer

Correct Answer: A program contained within a larger program.

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What is a subclass?

An object class derived from another class (its superclass)

A superclass that does not inherit any methods or properties from any other class

An abstract class that cannot be instantiated

A method that returns a value of the subclass type

Answer

Correct Answer: An object class derived from another class (its superclass)

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What is a string?

A data type for a sequence of bits

A data type for a sequence of Boolean values

A data type for a sequence of numbers

A data type for a sequence of characters such as letters of English alphabet.

Answer

Correct Answer: A data type for a sequence of characters such as letters of English alphabet.

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What is the stack used for in a computer?

Running programs

Keeping track of called procedures or call instructions.

Keeping track of open files

Saving data

Answer

Correct Answer: Keeping track of called procedures or call instructions.

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What is the difference between run time and compile time?

Run time is the time during which a program is executing, as oppose to the load time.

Compile time is the time during which a program is compiling, as oppose to the run time.

Run time is the time during which a program is loading, as oppose to the compile time.

Run time is the time during which a program is executing, as oppose to the compile time.

Answer

Correct Answer: Run time is the time during which a program is executing, as oppose to the compile time.

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What type of number is 3.14159268?

Complex

Rational

Real

Imaginary

Answer

Correct Answer: Real

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What is a program?

A device that runs a programming language.

A software application designed to run a specific task.

A type of application software.

A software application, or a collection of software applications, designed to perform a specific task.

Answer

Correct Answer: A software application, or a collection of software applications, designed to perform a specific task.

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What is a procedure?

A subroutine or function coded to perform a specific task.

A method of cooking food.

A set of instructions for carrying out a experiment

A set of instructions for completing a task.

Answer

Correct Answer: A subroutine or function coded to perform a specific task.

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What does the term "paradigm" mean in computer programming?

A fundamental style of computer programming to which the design of a programming language typically has to cater

A type of programming language

A set of tools used by programmers to make their jobs easier

A method of storing data on a computer

Answer

Correct Answer: A fundamental style of computer programming to which the design of a programming language typically has to cater

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What is object-oriented programming?

A method of programming in which data and instructions are organized into objects

Using entities called objects that can process data and exchange messages with other objects.

A way of programming in which data is organized into a hierarchy of classes

A style of programming in which all computations are done in parallel

Answer

Correct Answer: Using entities called objects that can process data and exchange messages with other objects.

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What is the output of a compiler or assembler called?

Source code

Assembly code

Object code

Machine code

Answer

Correct Answer: Object code

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What is an object?

A method

A relationship

An attribute

An instance of a class.

Answer

Correct Answer: An instance of a class.

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What is a module?

A subroutine

A program that forms a functioning application

A method of implementing a subroutine

A program that is linked with others to form a functioning application

Answer

Correct Answer: A program that is linked with others to form a functioning application

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In object-oriented languages, what is a method?

A software development model

A programming language model

A subroutine or function belonging to a class or object.

A way of organizing data

Answer

Correct Answer: A subroutine or function belonging to a class or object.

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What is machine code?

System of instructions and data indirectly understandable by a computer's central processing unit.

System of instructions and data understandings understandable by a computer's central processing unit.

System of instructions and data directly understandable by a computer's central processing unit.

System of instructions and data relations understandable by a computer's central processing unit.

Answer

Correct Answer: System of instructions and data directly understandable by a computer's central processing unit.

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What is logic programming?

A programming language that is difficult to learn

A style or paradigm of computer programming exemplified by the language Prolog.

A programming language that is used for artificial intelligence

A way of programming that is based on remains

Answer

Correct Answer: A style or paradigm of computer programming exemplified by the language Prolog.

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A linker is a computer program that...

Takes an executable program and links it with libraries

Takes one or more objects generated by compilers and assembles them into a single executable program

Generates objects that a compiler can link together

Links together multiple files generated by a compiler

Answer

Correct Answer: Takes one or more objects generated by compilers and assembles them into a single executable program

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What is an interpreter?

A device that makes digital data intelligible to humans

A program which executes another program written in a programming language other than machine code.

A person who converts spoken words in one language to spoken words in another language

A software that translates one programming language to another

Answer

Correct Answer: A program which executes another program written in a programming language other than machine code.

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What data type is best suited for integer values?

Integer

Boolean

String

Float

Answer

Correct Answer: Integer

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What is the purpose of an identifier?

Refer to a class

Refer to a constant

Define a data type

Refer to a variable, function, procedure, package, etc.

Answer

Correct Answer: Refer to a variable, function, procedure, package, etc.

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What is the heap?

A short-term storage area

An area of memory not reserved for anything in particular

An area of memory reserved for dynamically allocated data objects

An area of memory where data is stored in order

Answer

Correct Answer: An area of memory reserved for dynamically allocated data objects

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What is the name for an area of memory set aside for objects that are not stored in the stack?

Garbage collector

Heap

Bus

Dump

Answer

Correct Answer: Heap

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What is the definition of "goto"?

A function in the Python programming language that returns the absolute value of a number.

A statement (in source code) that transfers control unconditionally to another part of a program.

A reserved keyword in the C++ programming language that is used to declare variables and functions

An operator in the Java programming language that contains two operands and performs addition

Answer

Correct Answer: A statement (in source code) that transfers control unconditionally to another part of a program.

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What is a function?

A sequence of program instructions

A routine that receives zero or more arguments and may return a result.

A variable

A set of mathematical values

Answer

Correct Answer: A routine that receives zero or more arguments and may return a result.

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What is a parameter in a function definition?

A local variable in a function definition.

The name of a function definition.

A formal argument in a function definition.

The return type of a function definition.

Answer

Correct Answer: A formal argument in a function definition.

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What is a flowchart?

A breakdown of the functionality of a system

A graphical representation of the dataflow through a system

A schematic representation of the logic that defines the flow of control through a program

A diagram of the steps in a process

Answer

Correct Answer: A schematic representation of the logic that defines the flow of control through a program

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What is the mantissa?

A method of representing real numbers as a pair of integers

An integer that represents the real number

A number that cannot be represented as an integer

The characteristic of a real number

Answer

Correct Answer: An integer that represents the real number

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What is an exception?

Something that is allowed to happen

An interruption in normal processing, especially as caused by an error condition.

Something that is not allowed to happen

Something that is not related to the matter at hand

Answer

Correct Answer: An interruption in normal processing, especially as caused by an error condition.

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What does "enumeration" mean?

A data type that can take on any real number value.

A data type that can take on any value.

A data type whose values are a set of mutually exclusive named constants.

A data type that can take on any integer value.

Answer

Correct Answer: A data type whose values are a set of mutually exclusive named constants.

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What is a dump?

A type of computer memory

A file containing a copy of the data from a failed hard drive

A formatted listing of the contents of program storage, especially when produced automatically by a failing program

A place where unwanted materials are disposed

Answer

Correct Answer: A formatted listing of the contents of program storage, especially when produced automatically by a failing program

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What is a destructor?

In object-oriented programming, the command sequence that is launched when the execution of an object is aborted.

In object-oriented programming, the command sequence that is launched when the execution of an object is interrupted.

In object-oriented programming, the command sequence that is launched when the execution of an object begins.

In object-oriented programming, the command sequence that is launched when the execution of an object is finished.

Answer

Correct Answer: In object-oriented programming, the command sequence that is launched when the execution of an object is finished.

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What is data type?

The operations that can be done on data

The study of various types of data

A type of data used to calculate

A classification or category of various types of data

Answer

Correct Answer: A classification or category of various types of data

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What is a constructor?

A method that is called when an object is destroyed

A class method that creates and initializes each instance of an object.

A method that is called when an object is created

A method that is responsible for initializing an object

Answer

Correct Answer: A class method that creates and initializes each instance of an object.

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What does "constant" mean in programming?

A keyword that indicates a value cannot be changed.

A type of data that can only store positive whole numbers.

An identifier that is bound to an invariant value.

A reserved word that cannot be used as an identifier.

Answer

Correct Answer: An identifier that is bound to an invariant value.

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What is a compiler?

A hardware device

A computer program which transforms source code into object code.

A software application

A type of computer virus

Answer

Correct Answer: A computer program which transforms source code into object code.

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What is the Boolean data type used for?

Yes or no, true or false values

Characters

Strings

Integers

Answer

Correct Answer: Yes or no, true or false values

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What is an array?

An ordered sequence of same-typed values whose elements are fast to access by their numerical index in the array.

A variable that can store multiple values

An ordered sequence of different-typed values

A structure that stores data in a hierarchy

Answer

Correct Answer: An ordered sequence of same-typed values whose elements are fast to access by their numerical index in the array.

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What is an argument in a function definition?

A programming language

A software system

A command

A parameter

Answer

Correct Answer: A parameter

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What is an argument?

A set of all possible arguments

A value, or reference to a value, passed to a function

The average number of arguments in a day

This

Answer

Correct Answer: A value, or reference to a value, passed to a function

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What is an application?

A document sent with a job application

A program that is run by an operating system

A device that is used to apply cosmetics

A program or integrated suite of programs that has a defined function.

Answer

Correct Answer: A program or integrated suite of programs that has a defined function.

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What does app stand for?

Application

Apple

Append

Applicant

Answer

Correct Answer: Application

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What is an actual argument?

A variable declared inside a function

A variable declared outside a function

A value, or reference to a value, passed to a function.

The value returned from a function

Answer

Correct Answer: A value, or reference to a value, passed to a function.

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What is an abstract type?

A type in a nominative type system that can be instantiated.

A type in a non-nominative type system that cannot be instantiated.

A type in a non-nominative type system that can be instantiated.

A type in a nominative type system that cannot be instantiated.

Answer

Correct Answer: A type in a nominative type system that cannot be instantiated.

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What is an abstract class?

A class that can be directly constructed

A class that can only be constructed through construction of its subclasses

A class that cannot be constructed

A class that cannot be directly constructed

Answer

Correct Answer: A class that cannot be directly constructed

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