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CS502 Solved Grand Quiz Spring 2021 - VULMS Help

CS502 Solved Grand Quiz Spring 2021

Dear Students in this post we are providing you CS502Solved Grand Quiz Spring 2021. We have provided all Past CS502 Grand Quiz with 100% correct Solution. You can also visit our website vulmshelp.com for the solution of CS502 Mid Term past paper and Final Term Past paper.

CS502 Solved Grand Quiz Spring 2021

CS502 SOLVED MCQs

The sequence of merge sort algorithm is:

  • Divide Combine-Conquer
  • Conquer-Divide-Combine
  • c. Divide-Conquer-Combine             Page 27
  • Combine-Divide-Conquer

 In ______ Knapsack Problem, limitation is that an item can either be put in the bag or not. Fractional items are not allowed.

  • 0
  • 1
  • 0/1                                                                                Page 91
  • Fractional

 In Selection algorithm, we assume pivot selection takes theta _______ running time.

  • a. n                                                                     Page – 36
  • n2
  • n3
  • log (n)

 In Heap Sort algorithm (using max heap), when every time maximum elements removed from top ________.

  • We call merge Sort Algorithm
  • it becomes Order n2 Algorithm
  • Divide and Conquer strategy helps us
  • d. We are left with a hole                      Page – 41

 If matrix A of dimension p x q is multiply with matrix B of dimension q x r, then each entry in resultant matrix takes _______ time.

  • a. O (q)                                                                          Page – 84
  • O (1)
  • O (p x q)
  • O (q x r)

 _________ is a method of solving a problem in which we check all possible solutions to the problem to find the solution we need.

  • Plane-Sweep Algorithm
  • Sorting Algorithm
  • c. Brute-Force Algorithm                      google
  • Greedy approach

 The worst case running time of Quick sort algorithm _____.

  • Cannot be quadratic
  • b. Is quadratic    
  • ls always Exponential
  • Is linear

 In max heap (for Heap Sort algorithm), when every time maximum element is removed from top we replace it with _____ leaf in the tree.

  • second last
  • b. Last                                                                           Page -41
  • First
  • Any

 Quick sort algorithm was developed by –

  • AlferdAho
  • Sedgewick
  • John Vincent Atanasoff
  • d. Tony Hoare                                                     – Google wikipedia

 If Matrix-A has dimensions “3×2” and Matrix-B has dimensions “2×3”, then multiplication of Matrix-A and Matrix-B will result a new Matrix-C having dimensions.

  • 3×2
  • 2×3
  • 2×2
  • d. 3×3            

 For comparison-based sorting algorithms, it is possible to sort more efficiently than Omega n log(n) time.

  • Always
  • ·        Sometimes not
  • NOT           Pg 54
  • Sometimes

 Dynamic Programming approach is usually useful in solving optimization problems.

  • True                                 
  • False

 In Sorting the key value or attribute_____ from an ordered domain.

  • Must be                        page 39
  • Not always
  • May be
  • Occasionally

 Result of asymptotical analysis of n(n -3) and 4n*n is that _______

  • n(n-1) is asymptotically Less
  • n(n-1) is asymptotically Greater
  • Both are asymptotically Not equivalent
  • Both are asymptotically Equivalent       page 23  (4n*n= 4n2)

 Floor and ceiling are ______ to calculate while analyzing algorithms

  • Very easy
  • 3rd Option is missing
    • Usually considered difficult
  • 4th Option is missing

 _____ of reference is an important fact of current processor technology.

  • Defining
  • Assigning
    • Locality   pg-8
  • Formality

 In max-heap, largest element is stored at root node. Where is the smallest element stored?

  • Right Node
  • Leaf Node           Not sure
  • Middle Node
  • Left Node

 In average-case time analysis of Quick sort algorithm, the most balanced case for partition is when we divide the list of elements into _.

  • Equal no. of pieces as of input elements
  • Single piece exactly
  • Two nearly equal pieces
  • Three nearly equal pieces

 Which of the following is calculated with Big O notation?

  • Medium bounds
  • Upper bounds                                    Page – 25
  • Lower bounds
  • Both upper and lower bounds

 Edit distance algorithm based on ________ strategy

  • Greedy
  •  Dynamic Programming                         Page – 81
  • Divide and Conquer
  • Searching

 In Heapsort Algorithm, total time taken by heapify procedure is ________

  • O (log n)                                                                      Page-43
  • O (log2 n)
  • O (n log n)
  • O (n2 log n)

 Al-Khwarizmi was a/an _______

  • Artist
  • Astronomer
    • Mathematication p-7
  • Khalifah

 When matrix A of 5x3is multiply with metric B of 3×4 then the number of multiplication required is: Not found exactly

  • 15
  • 12
  • 36
  • 60     Not Found exactly but as per formula at page 84,

 Pseudo code of algorithms are to be read by _______.

  • People                                                          Page -12
  • RAM
  • Computer
  • Compiler

 The sieve technique is a special case, where the number of sub-problems is Just

_________

  •  1                                                                          P-34
  • 2
  • 3
  • 4

When a recursive algorithm revisits the same problem over and over again, we say that the optimization problem has ________ sub-problems.

  • Overlapping                          – Google Search
  • Over costing
  • Optimized
  • Three

Sieve technique is very important special case of Divide-and-Conquer strategy.

  • False
    • True

In order to say anything meaningful about our algorithms, it will be important for us to settle on a ______.

  • Java Program
  • C++ Program
    • Mathematically model of computation
  • Pseudo program

Merge sort is based on _______.

  • Brute-force
  • Plan-sweep
    • Divide and Conquer
  • Axis-sweep

 What time does Merge Sort algorithm take in order to sort an array of ‘n’ numbers?

  • (n)
  • (log n)
  • (n^2)
  • d. (n log n) Google Search 31. In Heap Sort

 algorithm, the first step is to ___________.

  • Call Build-Heap procedure Page – 46
  • Sort the array in descending order
  • Call Heapify procedure
  • Find the number of input elements

The definition of theta-notation relies on proving ________ asymptotic bound.

  • One
  • Lower
  • Upper
  •  Both lower & upper                    Page – 25

In merge sort algorithm, to merge two lists of size n/2 to a list of size n, takes

_______ time.

  • Theta (n)                                                                     Page – 32
  • Theta log(n)
  • Theta log2(n)
  • Theta n log(n)

 We can make _______ recursive calls in Fibonacci Sequence.

  • Infinite
  • Finite                       google
  • Only one
  • Zero

 Following is NOT the application of Edit Distance problem.

  • Speech recognition
  • Spelling Correction
  • Ascending Sort                                                                 Page – 76
  •  Computational Molecular Biology

In plane sweep approach, a vertical line is swept across the 2d-plane and structure is used for holding the maximal points lying to the left of the sweep line.

  • Array
  • Queue
  • Stack                                                                                              Page – 18
  • Tree

When a heapify procedure is applied to the root node to restore the heap, then at each level, the comparison performed takes time:

  • It will take (log n).
  • It can not be predicted
  •  It will take O (1).                                                               Page – 43
  • Time will vary according to the nature of input data.

_____ time is the maximum running time over all legal inputs.

  • Worst-case                                                                             Page – 13
  • Average-case
  • Best-case
  • Good-case

Efficient algorithm requires less computational…

  • Memory
  • Running Time
  • Memory and Running Time                               Page – 9
  • Energy

For average-case time analysis of Quick sort algorithm, Pivot selection is on average basis from ______

  • half of the input values
  • all possible random values               Page – 50
  • Pivot is input separately
  • values greater than 5

Selection algorithm takes theta ______

  • (n2)
  • (n)                                                                                                        Page – 37
  • log(n)
  • n log(n)

Recurrence can be described in terms of a tree.

  • Yes                                                                                                    Page – 31
  • No

Time complexity of Dynamic Programming based algorithm for computing the minimum cost of Chain Matrix Multiplication is ______

  • Log n
  • n
  • n^2 (n square)
  • d. n^3 (n cube)                                                   Page -90

The Iteration method is used for ______

  • Solving Recurrence relations                                        Page 31
  • Merging elements in Merge sort
  • Comparing sorting algorithms only
  • Dividing elements in Merge sort

In 3-Dimensional space, a point P has ______ coordinate(s).

  • (X, Y)
  • (X, 0)
  • (0, Y)
  • (X,Y, Z)

Chain matrix multiplication problem can be solved through ______ strategy.

  • Dynamic programming                                                           Page – 85
  • Greedy
  • Divide and conquer
  • Sorting

Merge sort have running time….running time of Heap sort. Not found exactly

  • Greater than
  • Less than                                                  Google
  • Equal to
  • Different than

Median is not useful measure of central tendency of given input set especially when the distribution of values is highly skewed.

  • True
  •  False                                                              Page – 34

We do not need to mathematically prove that for comparison-based sorting algorithms always takes Omega nlog (n) time.

  • True                                  Google
  • False

The Omega-notation allows us to state only the asymptotic ______ bounds.

  • Middle
  • Lower                                                 Page 25
  • Upper
  • Both lower & upper

Both lower & upperSorting can be in ________

  • Increasing order only
  • Decreasing order only
  • Both Increasing and Decreasing order 
    • Random order

Radix sort performs sorting the numbers _______ digit (s) at a time.

  • One                                                                                   Page – 71
  • Two
  • Three
  • All

Quicksort is a/an ______ and ________ sorting algorithm.

  • Not in place, not stable one
  • In place , not stable one                                        Page – 54
  • In place , stable one
  • Not in place , stable one

Consider three matrices X,Y,Z of dimensions 1×2, 2×3,3×4 respectively. The number of multiplications of (XY) Z is:

  • 18                        As per lecture slides
  • 32
  • 24
  • 30

In Fibonacci Sequence, unnecessary repetitions do not exist at all.

  • True
  • False                                                             Page – 74

 It is not a Fibonacci sequence .                     1,1,1,2,3,5,8,13,21,34,55,…..

  •  True                                                                                Page – 73
  • False

Heap sort is a/ an ______ and ________ sorting algorithem.

  • Not in place, not stable one
  •  In place , not stable one                                       Page – 54
  • In place , stable one
  • Not in place , stable one

Identify the True Statement

  • The knapsack problem does not belong to the domain of optimization problems.
  • The knapsack problem belongs to the domain of optimization

problems.                                                 Page – 91

  • The Knapsack problem cannot be solved by using dynamic programming
  • The knapsack problem is optimally solved by using brute force algorithm.

In Dynamic Programming, our approach is to _________

  • Develop the solution in a top-down fashion
  • Express the problem non-recursively
  • Build the solution in a bottom-up fashion     Page – 75
  • Input several sub-problems simultaneously

Counting sort is suitable to sort the elements in range 1 to K;

  • K is large
  • K is small                                                                  Page – 57
  • K may be large or small
  • None

We can multiply two matrices A and B only when they are compatible which means

  • Number of columns in A must be equal to number of rows in B.

it seems Correct as per page 84

  • Number of columns in A must be equal to number of columns in B
  • Number of rows and columns do not matter
  • Number of rows in A must be equal to number of rows in B

Matrix multiplication is a (n) ________ operation.

  • Commutative
  • Associative                                                            Page 85
  • Neither commutative nor associative
  • Commutative but not associative

In Dynamic Programming approach, solution is modified / changed

  • Always once
  • At each stage                                      google and wikipedia
  • Only for specific problems
  • At 4th stage only

In Knapsack problem, the goal is to put items in the Knapsack such that the value of the items is __________ subject to weight limit of knapsack.

  • Minimized
  • Decreased
  • Maximized                                                               Page – 91
  • None of the given options

An in-place sorting algorithm is one that ________ uses additional array for storage.

  • Always
  • Permanently
  •  Does not                                                                   Page – 54
  • Sometime

Memoization is a part of Dynamic Programming Strategy.

  • True                                                                                  Page – 74
  • False

If matrix A of dimension 2×4 is multiply with matrix B of dimension 4×3, then

the dimension of resultant matrix is      Not found exactly

  • 2×4
  • 4×3
  • 3×4
  • 2×3                     It seems correct as per second last Para of page 84

In Dynamic Programming approach, we do not store the solution to each sub-problem in case if it reappears.

  • True
  • False                                                                                                               Page – 75

Dynamic Programming is a problem-solving approach in which___

  • Problem is solved in Zero time
  • Solution is developed only at final stage
  • Both are correct
  •  Both are incorrect                                  google

In Fibonacci sequence, each term is calculated by____ previous__ terms.

  • Subtracting, Two
  • Adding, Three
  • Adding, Two                                          Page – 73
  • Multiplying, Two

Selection sort is not an in-place sorting algorithm.

  • True                                                                                  Page – 54
  • False

If there are θ (n2) entries in edit distance matrix then the total running time is:

  • θ (n)
  • θ (1)
  •  θ (n2)                                                                              Page – 84
    • θ (n logn)

The only way to convert a string of i characters into the empty string is with i deletions, represented as

  • E(0.j) =j
  • E(i.j) = 1
  • E(0.i) = j
  • E (i.0)=I                                                         Page – 78

Dynamic programming formulation of the matrix chain multiplication problem will store the solutions of each sub problem in an

  • Array
  • Variable
  • Table                                                                                                               Page – 86
  • class

We can use the optimal substructure property to devise a formulation of the edit distance problem.

  • Selective
  • Optimum
  • Iterative
  • Recursive                                                                                 Page – 78

Sorting is performed on the basis of ___________.

  • Computational resources
  • Asymptotic notation
  • Summation
  • Some key value of attribute                              page- 39

 In Heap Sort algorithm, we call Build-heap procedure ____________.

  • Only once                                                                 page 46
  • Twice
  • Thrice
  • As many times as we need

Radix sort is not a non-comparative integer sorting algorithm.

  • True                                                  Google Search
  • False

In the statement “output P[1].x, P[1].y”, the number of times elements of P are accessed is _______.

  • 1
  • b. 2                                     page 14
  • 3
  • 4

The main purpose of mathematical analysis is measuring the ______ required by the algorithm.

  • Inputs & outputs
  • Space
  • Execution TIME page 13
  • Execution time and memory

_______ provides us more accurate result when input values are not closer with each other

  • Mode
    • Average
    • Median  P-34
  • Mean

The process of ______ ends when you are left with such tiny pieces remaining that it is trivial to solve them.

  • Brute-force
  • Plan-sweep
  • Divide and Conquer
  • Axis-sweep

__________ overcomes the limitations of _______ by working as per positional notations of numbers.

  • Counting sort, Radix sort
    • Radix sort, Counting sort

 Memorization is a part of Dynamic Programming strategy.

  • False
    • True

Rank of an element can be defined as ___________.

  • One minus the number of elements that are smaller
  • Two plus the number of elements that are greater
  • One plus the number of elements that are smaller P-34
  • Two minus the number of elements that are smaller

If the time complexity of an algorithm is given by O (1), then its time complexity would be

  • Polynomial
  • Exponential
  • Constant                                    – Wikipedia
  • Average

Quick sort is a recursive algorithm.

  • True         
  • False

The asymptotic growth of n(n+1)/2 is:

  • O(n2)   As the n^2 term has the largest contribution, the Big-O complexity is O(n^2)
    • O(n)
  • O(n+2)
  • O(n log n)

Approach of solving geometric problems by sweeping a line across the plane is called _____ sweep.

  • Line
  • Plane              Page 18
  • Cube
  • Box

As per algorithm of Dynamic Programing, we need to store

  • First sub-problem only
  • Best solution only
  • Intermediate sub-problems                               Pg:75
  • Final solution only

In Sieve technique, we solve the problem

  • In recursive manner                    Pg:34
  • Non recursively
  • Using Merge Sort algorithm
  • Using Brute force technique

One of the limitation in 0/1 knapsack is that an item can either be ________ in the bag or not.

  • Use
  • Put                                                                                     Pg:91
  • Move
  • Store

Which one is not passed as parameter in Quick sort algorithm?

  • End of the array
  • Middle of the array
  • Array (containing input elements)                           Google
  • Start of the array

In the analysis of Selection algorithm, we get the convergent _________

  • Harmonic
  • Linear
  • Arithmetic
  • Geometric                                                                Pg:37

A Random Access Machine (RAM)is an idealized machine withrandom access memory.

  • Infinite large                                          Pg:10
  • 512 MB
  • 256 MB
  • 2 GBs

While analyzing Selection algorithm, we make a number of passes, in fact it could be as many as

  • n(n+1)
  • log(n)                                                                              Pg:37
  • n/3
  • n/4

In Random Access Machine (RAM), instructions are executed in

  • Parallel
  • Batch
  • One by One                                                            Pg:10
  • Multiple times

In selection problem, the rank of an element will be its ________ position

  • First
  • final                                                                                   Pg:34
  • Second last
  • Last

The worst-case running time of Merge sort is _____ in order to sort an array of n elements.

  • O(log n)
  • O(n)
  • O(n log n)                                  page 40 and google
  • O(n)

f(n) and g(n) are asymptotically equivalent. This means that they have essentially the same ______.

  • Results
  • Variables
  • Growth Rates
  • Size

An algorithm is a mathematical entity. Which is independent of _______.

  • Programming language
  • Machine and Programming language
  • Programing Language Compiler and Machine
  • Compiler and Programming language

In Quick sort algorithm, Pivots form ___

  • Stack
  • Queue
  • Graph
    • Binary Search Tree

Counting sort is suitable for sorting the elements within range 1 to P. where

  • P is large
  • P is very large
  • P is undetermined
    • P is Small

In asymptotical analysis of n'(5 2)-3, as n becomes large, the dominant (fastest growing) term is some constant times

  • n_1
  • n
  • n+1
  • n*n p-23

___ Items are not allowed in the 0/1  knapsack.

  • Lighter
  • Whole
  • Weighty
  • Fractional

Fibonacci Sequence was named on ______, a famous mathematician in 12th Century.

  • Fred Brooks
  • Grady Booch
  • Leonardo Pisano
  • Edgar F. Codd

In Heap Sort algorithm, we build _____ for ascending sort.

  • Min heap
    • Max Heap pg-41

Bubble sort is not an in-place sorting algorithm.

  1. True
b. FalseP-54

In partition algorithm, the subarray ______ has elements which are greater than pivot element x.

  • A[p…r]
  • A[p…q-1]
  • A[q]
    • S[q+1…r]

In Heap Sort algorithm, if heap property is violated

  • We call Heapify procedure
  • We ignore
  • Heap property can never be violated
  • We call Build Heap procedure

______ is not a characteristic of Random Access Machine.

  • Assigning a value to a variable
  • Locality of reference
  • Single-Processor      P-10
  • Executing an arithmetic instruction

The only way to convert an empty string into a sting of j characters is by doing j insertions, represented as ______

  • E(i,j) = 1
  • E(I,0) = I
  •  E(0,j) = j                      page 78
  • E(1,j)= j

In Selection problem, the Sieve technique works in __________.

  • Non-recursive manner
  • Constant time
  • Phases         page 34
  • One complete go

Algorithm is a sequence of computational steps that —- the input into output.

  • Merge
  • Assign
  • Transform                page 7
  • Integrate

If pj dominates pi and pi dominates ph then pj also dominates ph, it means dominance relation is

  • Transitive                  page 18
  • Non Transitive
  • Equation
  • Symbolic

To find maximal points in brute-force algorithm each point of the space is compared against ______ of that space.

  • One other point
  • All other points                       page 11
  • Few other points
  • Most of the other points

In the following code the statement “cout<<j;”executes ——— times. for (j=1; j<=5; j = j+2)

cout<<j;

  • 5 times
  • 2 times
  • 3 times
  • 0 times

In merge sort algorithm, we split the array around the ______ index q.

  • Mid                     page 17
  • Exiting
    • Entring
  • Summing

In Selection problem, the Sieve technique _________.

  • Add some more input items each time
  • Do not work recursively
  • Do not uses Divide and Conquer approach
  • Eliminates undesired data items each time

Consider three matrices X, Y, Z of dimensions 1 x 2, 2 x 3, 3 x 4 respectively. The number of multiplications of X(YZ) is .

  • 16
  • 32
  • 26
  • 32                      page 84

In Heap Sort algorithm, the total running time for Heapify procedure is

_______

  • Theta (log n)
  • Order (log n)
  • Omega (log n)
  • O(1) i.e. Constant time

The sieve technique works where we have to find_______ items(s) from a large input.

  • Single               page 34
  • Two
  • Three
  • Similar

In Dynamic Programming based solution of Knapsack Problem, if we decide to take an object i , then we gain______

  • W(Total Weight of Knapsack)
  • V (Total Value of all items)
  •  vi (Value of object i)                      page 93
  • Nome of the given option

While Sorting, the order domain means for any two input elements x and y

_______ satisfies only.

  • x < y                             page 39
  • x > y
  • x = y
  • All of the above

For solving Selection problem, we introduced Sieve technique due to

_______

  • Using Decrease and Conquer strategy        page 34
  • Avoiding to sort all input data
  • Eliminating Rank of an element
  • Using Brute-force approach

________ is one of the few problems, where provable lower bounds exist on how fast we can sort.

  • Searching
  • Sorting                                page 38
  • Both Searching & sorting
  • Growing

In plane sweep approach, a vertical line is swept across the 2d-plane from_____.

  • Right to Left
  • Left to Right               page 18
  • Top to Bottom
  • Bottom to top

In generating Fibonacci sequence, we can avoid unnecessary repetitions by

_____ process.

  • Tokenization
  • Memorization               page 43
  • Randomization
  • Memorization

For _________ values of n, any algorithm is fast enough.

  • Medium
  • Large
  • Small                                             page 14
  • Infinity

Dynamic programming comprises of _______.

  • Recursion only
  • Repetition only
  • Recursion with Repetition
  • No Repetition but Recursion                 page 75

The function f(n)=n(logn+1)/2 is asymptotically equalient t nlog n :Here Lower Bound means function f(n) grows asymptotically at __ as fast as nlog n.

  • Least                                   page 23
  • Normal
  • Most
  • At

Counting sort has time complexity.

  • O(n+k)
  • O(n)                                   page 58
  • O(k)
  • O(nlogn)

Due to left complete nature of binary tree, the heap can be stored in

  • Array                                page 40
  • Structures
  • Link List
  • Stack

Single item from a larger set of ________.

  • Constant
  • Pointers
  • Phases
  •  n items                           page 34

In the clique cover problem, for two vertices to be in the same group, they must be ______ each other.

  • Apart from
  • Far from
  • Near to
  • Adjacent to                                 page 76

How much time merge sort takes for an array of numbers?

  • T(n^2)
  • T(n)
  • T(log n)
  • T(n log n)                                    page 40

In in-place sorting algorithm is one that uses arrays for storage.

  • No additional array                                   page 54
  • An additional array
  • Both of above may be true according to algorithm
  • More than 3 arrays of one dimension

Brute-force algorithm for 2D-Maxima is operated by comparing ______

pairs of points.

  • Two
  • Some
  • Most
  •  All                   page 18

While Sorting, the ordered domain means for any two input elements x and y ____ satisfies only.

  • x > y
  • x < y
  • x = y
  • All of the above                    page 38

Quick sort is.

  • Not stable but in place                          page 54
  • Stable but not in place
    • Stable & in Place
  • Some time stable & some times in place

Which may be a stable sort?

  • Merger
  • Insertion
  • Both above                        page 54
  • None of the above

                For the Sieve Technique we take time.

  • T(nk)                         page 34
  • IT(n / 3)
  • n^2
  • n/3

Continuation sort is suitable to sort the elements in range 1 to k.

  • K is Large
  • K is not known
  • K may be small or large
  • K is small                       page 54

Asymptotic growth rate of the function is taken over ______ case running time. .

  • Worst                        page 14
  • Average
    • Best
  • Normal

The sieve technique is a special case, where the number of sub problems is just.

  • 5
  • Many
  • 1                 page 34
  • Few

In Quick sort, we don’t have the control over the sizes of recursive calls.

  • True                 page 49
  • False
  • Less information to decide
  • Ether true or false

Before sweeping a vertical line in plane sweep approach, in start sorting of the points is done in increasing order of their _____ coordinates. .

  • Y
  • Z
  • X
  • X , Y

Random access machine or RAM is a/an.

  • Machine build by Al-Khwarizmi
  • Mechanical machine
  •  Mathematical model                    page 10
  • Electronics machine

The Huffman codes provide a method of encoding data inefficiently when coded using ASCII standard.

  • True
  • False                                        page 99

A heap is a left-complete binary tree that confirms to the ________.

  • increasing order only
  • decreasing order only
  •  heap order                      page 40
  • log n order

If we associate (x, y) integers pair to cars where x is the speed of the car and y is the negation of the price. High y value for a car means a ________ car.

  1. Fast
  • Slow
  • Expensive
  • Cheap

Which one of the following sorting algorithms is the fastest?

  • Merge sort
  • Quick sort
  • Insertion sort
  • Heap sort

Quick sort algorithm divide the entire array into ________ sub arrays.

  • 2
  • 3
  • 4
  • 5

In brute force algorithm, we measure running time T(n) based on ________.

  • Worst-case time and best-case time
  • Worst-case time and average-case time                          page 46
  • Average-case time and best-case time
  • Best-case time and staring-case time

For 2D Maxima problem. Plane Sweep algorithm first of all _________.

  • Sorts all points
  • Delete some points
  • Output the elements
  • Pushes all points on stack

There are ________ entries in the Edit Distance Matrix

  • ϴ (n)
  •  ϴ (n2)                        page 84
  • ϴ (n+2)
  • ϴ (n + 100)

Which symbol is used for Omega notation?

  • (O)
  • (ϴ)
  • (Ω)
  • (@)

Selection sort is a ______ sorting algorithm

  • In-place                                 page 54
  • Not In-Place
  • Stable
  • in-partition

In Dynamic Programming based solution of knapsack problem, to compute entries of ‘V’, we will imply a(n) ______ approach.

  • Subjective
  • Inductive
  • Brute Force
  • Combination

We do not need to prove comparison-based sorting algorithms by mathematically. It always takes _________ time.

  • Big Oh nlog(n)
  • Omega nlog(n)            NOT SURE
  • Omega n(n^2)
  • Theta nlog(n)

Merge sort is a/an _______ and ________ sorting algorithm

  • Not in-place, not stable one
  • In-place, not stable one
  • In-place, stable one
  • Not in-place, stable one                      page 54

Cubic function will ________ a quadratic function.

  • Prove
  • be equal to
  • overtake                     Page 25
  • find

Insertion sort is a _________ sorting algorithm

  • Unstable
  •  In-place       Page 54
  • Not In-Place
  • in-partition

To check whether a function grows faster or slower than the other function, we use some asymptotic notations, which is ________.

  • Big-oh notation
  • Theta notation
  • Omega notation
  • All of the given

Asymptotic growth of 8n^2 + 2n – 3 is:

  • Θ(n^2 + n)
  • Θ (n^2)                      page 14
  • Θ(8n^2)
  • Θ(8n^2 + 2n)

In the analysis of algorithms, _________ plays an important role.

  • text analysis
  • time
  • growth rate
  • money

In inductive approach of knapsack problem, we consider 2 cases, _______

Or ________.

  • Median, Mode
  • Recursive, Iterative
  •  Leave object, Take object  page 93
  • Sequentially. Parallel

Random Access Machine (RAM) can execute _________ instructions

  • only logical
  • parallel
  • only arithmetic
  • logical and arithmetic

Using _______ algorithm, efficiency is not given much importance

  • Greedy
  • Merge sort
  • Processing                            
  • Brute Force

Bubble sort takes theta _________ in the worst case

  • (n2)                    page 39
  • (n)
  • log(n)
  • nlog(n)

If matrix A of dimension p × q is multiply with matrix B of dimension q × r, then dimension of resultant matrix is:

  • q × r
  • r × p
  • P x r
  • P x q

Dynamic Programing algorithms often use some kind of ________ to store the results of intermediate sub-problems

  • variable
  • stack
  • Table
  • loop

________________ is in-place sorting algorithm.

  • Bubble sort             (Page 54)
  • Merge sort
  • Linear search
  • Binary Search

Which one of the following problems can be solved using dynamic problem?

  • Bubble sort problem
  • Matrix chain multiplication problem      page 85
  • Greedy search problem
  • Fractional knapsack problem

In chain matrix multiplication, solutions of the sub-problems are stored in a

_________.

  • Array
  • Table               page 86
  • Tree
  • Link list

What is the average running time of a quick sort algorithm?

  • O(n^2)
  • O(n)
  •  O(n log n) (Page 49)
  • O(log n)

Sorting Algorithms having O _______ running time are considered to be slow ones.

  • (n)
  • (n^2)            (Page 39)
  • (nlog(n))
  • (log(n))

While solving Selection problem, in Sieve technique we partition input data

________

  • In increasing order
  • In decreasing order
  • According to Pivot
  • Randomly

________ is the process of avoiding unnecessary repetitions by writing down the results of recursive calls and looking them up again if we need them later.

  • Loop
    • Memoization                   page 74
  • Recursion
  • Function

In average-case time the probability of seeing input is denoted by _______.

  • p{I}
  • p[I]
  • p<i>
  • p(i)                                 page 13

While applying the Sieve technique to selection sort, how to choose a pivot element.

  • Through mean
  • Linear
  • Randomly                   page 35
  • Sequentially

Number of _______ of the pseudo code are counted to measure the running time.

  • Inputs
  • Outputs
  • Steps              page 13
  • Pages

Developing a dynamic programming algorithm generally involves ______

separate steps.

  • One
  • Two                             page 75
  • Three
  • Four

8n^2+2n+3 will exceed c28(n), no matter how large we make _____.

  • n
  • 2n
  • c2                           page 25
  • this quadratic equation

The running time of quick sort algorithm_________.

  • Is impossible to compute
  • Has nothing to do with pivot selection
  • Is Random upon each execution
  • Greatly influenced by the selection of pivot    page 49

_________ involves breaking up the problem into sub problems whose solutions can be combined to solve the global problem.

  • Complexity Theory
  • Dynamic programming solution
  •  Divide and Conquer Strategy          page 34
  • Greedy Algorithms

In _____________ we have to find rank of an element from given input.

  • Merge sort algorithm
  • Selection problem                 page 34
  • Brute force technique
  • Plane Sweep algorithm

How many steps are involved to design the dynamic programming strategy?

  • 2
  • 3
  • 1
  •  4                                     page 92

In Bucket sort, if there are duplicates then each bin can be replaced by a

  •  Linked list         page 69
  • Hash table
    • Stack
  • Heap

In merge sort algorithm, we split the array ______ to find index q.

  • from end
  • from start
  • midway   page 28
  • both from start or end

Find the maximum value of the items which can carry using knapsack Knapsack weight capacity = 50.

Item  Weight Value

11070

22020

33080

470  200

  • 280
  • 100
  • 90
  • 200

In 2-d maxima problem a point p is said to be dominated by point q if

_________.

  • p.x <= q.x
  • bp.x <= q.x and p.y <= q.y                   page 17
  • p.y <= q.y
  • p.x >= q.x and p.y >=q.y

Sorting can be in ______________.

  • Increasing order only
  • Decreasing order only
  • Both increasing and decreasing order
  • Random order

Recurrence can be described in terms of _______________.

  • Array
  • Linear
  • Tree                                  page 31
  • Graph

The brute-force algorithm for 2D-Maxima runs in order O(__) time.

  • n
  • n(log n)
  • n*n                            page 18
  • n3

In plane sweep approach of solving geometric problems, a _________ is swept across the plane.

  • Line                        page 18
  • Plane
  • Cube
  • Box

Which of the following is calculated with Big Omega notation?

  1. Medium bounds
  • Upper bounds

c. Lower bounds                     Page – 25

  • Both upper and lower bounds

_________ is always based on divide and conquer strategy.

  • Bubble sort
  • Selection sort
  • Pigeon sort
  • Quick sort                 page 46

If a matrix has three rows and two columns, then dimensions of matrix will be:

  • 3×2
  • 2×3
  • 3×3
  • 2×2

Asymptotic notations are used to describe _______ of an algorithm.

  • Length
  • running time                  google
  • size
  • compile time

Catalan numbers are related the number of different ______ on ‘n’ nodes.

  • Arrays
  • linked lists
  • binary trees            page 85
  • functions

Applying the sieve technique to selection problem, ________ element is picked from array.

  • Output
  • Total
  • Input
  • Pivot                page 35

Dynamic Programming approach is usually useful in solving _______

problems.

  •  Optimization                       google
  • Array
  • Normal
  • Loop

In recursive formulation of knapsack Problem: V [0, j] = ________ for j>=0

  • -1
  •  0                 page 93
  • 1
  • 2

________ is a linear time sorting algorithm.

  • Merge sort
  • Radix sort                          page 71
  • Quick sort
  • Bubble sort

Quick sort is one of the _____ sorting algorithm.

  • Fastest         page 19
  • Slowest
  • Major
  • Average

The time assumed for each basic operation to execute on RAM model of computation is _____.

  • Infinite
  • Continuous
  • Constant                    page 10
  • Variable

In Sieve Technique, we know the item of interest.

  • True
  • False

While analyzing algorithms, _______ and _______ usually considered difficult to calculate.

  •  Floor, ceiling       google
  • Row, Column
    • Finite, Infinite
  • Graph, Tree

While analysis of the brute-force maxima algorithm, an array sorted in the reverse order is the type of _________ case input.

  • Best
  • Worst              page 14
  • Somewhat bad
  • Average

_________ is not useful measure of central tendency of given input set especially when the distribution of values is highly skewed.

  • Mean
  • Mode
  • Average
  • Median         page 34

In asymptotical analysis of n(n-3) and 4n*n, as n becomes large, the dominant (fastest growing) term is some constant times _______.

  • n+1
  • n-1
  • n
  • n*n                     page 23

In addition to passing in the array itself to Merge Sort algorithm, we will pass in other arguments which are indices.

  • Three
  • Two
  • Four
  • Five

In 2d-maximal problem, a point is said to be if it is not dominated by any other point in that space.

  • Member
  • Minimal
    • Maximal
  • Joint

Counting sort assumes that the numbers to be sorted are in the range

________.

  1. K to n where n is large
  • K to n where k is small
    • 1 to k where k is small
  • k to n where n is small

Insertion sort is an efficient algorithm for sorting a __________ number of elements

  • Small
  • Extra large
    • Large
  • Medium

If the indices passed to merge sort algorithm are _________ then this means that there is only one element to sort.

  • Small                                page 28
  • Large
  • Equal
  • Not Equal

In Knapsack Problem, each item must be entirely accepted or rejected, is called ______ problem.

  • Linear
  • Fractional
  • 0-1
  • Optimal

If the time complexity of an algorithm is O(n). then it is called _______ time complexity.

  • Linear                                                            Wikipedia
  • Constant
  • Average
  • Exponential

In the case of _________ analysis does not depend upon on the distribution of input.

  • Merge sort
  • Insertion sort
    • Quick Sort
  • Heap sort

We can use the ___________ Property to devise a recursive formulation of the edit distance problem.

  • Small substructure
  • Algorithmic
  • Real
  • Optimal substructure                         page 78

The following sequence is called ____________

  • 1,2,3,5,8,13,21,34,55,…..
    • Fibonacci sequence                   page 73
  • Optimal sequence
    • Optimize Sequence
  • Overlapping sequence

Which one sorting algorithm is best suited to sort an array of 2 million elements?

  • Bubble sort
  • Insert sort
  • Merge sort
  • Quick sort
  • Ridx Sort    page 71

We can improve the performance of quick sort if we could be able to _,__________.

  • Select two or more pivots              page 34
  • Skip any sub-array completely
    • Skit Input elements somehow
  • Eliminate recursive calls

The problem with the brute-force algorithm is that is uses ________ in pruning out de

  • Worst-case time
  • No intelligence                        page 18
  • Outside looping
  • Artificial intelligence

In chain matrix multiplication, the order of the matrices __________.

  • Can be changed
  •  Can not be changed                      page 85
  • is equal
  • is reverse

In quick sort algorithm, we choose pivot___________.

  • Always the smallest element
  • Greater than 5
  • Randomly                  page 35
  • Less than 5
  • In Heap Sort algorithm. Heapify procedure is ________ in nature.
  • Recursive
  •  Non-Recursive                 page 43
  • Fast
  • Slow

When matrix A of 5x 3 is multiplied with matrix B of 3 x 4 then the number of multiplications required will be ___________.

  • 15
  • 12
  • 36
  • 60

An algorithm is said to be correct if for every ______ instance, it halts with the correct ______.

  • Input, Output                       page 13
  • Design, Analysis
  • Value, Key
  • Key, Analysis

In chain matrix multiplication, table is filled _________ to find the multiplication of matrix.

  • row wise
  • column wise
  • diagonally
  • bottom-to-up         page 86

If we have an equation 8n2+7f*n + 5f + 6 then is large, ________ term will be muchxxxxxxxthe n term and will dominate the running time.

  • f g (n)
  • g (n) * 2
  • n * 2                  page 23
  • f (n)

For quick sort algorithm. Partitioning takes theta ________.

  • (n)
  • log(n)
  • n log (n)
  • n2log (n)

In Heap Sort algorithm, the maximum levels an element can move upward is

_______

  • Theta (log n)          page 43
  • Big-ch (log n)
  • Omega (log n)
  • 0 (1) i.e. Constant time

_______ programming is essentially recursion without repetition.

  • Array
  • Fast
  • Dynamic
  • n (log n)

There are no hard formal rules to the syntax of the ________ code.

  1. Basic
  • Programming
  • Pseudo
  • Assembly

In Heap Sort algorithm, to remove the maximum element every time.

  • We call Build-Heap procedure
  • Heap Sort algorithm terminates without result
  • We call heapify procedure
  • Nothing happens

Which process is used for avoiding unnecessary repetitions and looking them up again if we need them later.

  • Greedy Approach
  • Memoization                      page 74
  • Divide and conquer
  • Recursion

The worst-case running time of Quick sort is _________ in order to sort an array of n element.

  • O(n log n)                       page 49
  • O(n)
  • O(n2)
    • O(log n)

Boolean operation is a _________ operation on an idealized RAM model of computation.

  • Advance
  • String
  • Basic
  • Normal

In chain matrix multiplication, if there are n items, there are ________ ways in which outer most pair of parentheses can placed.

  • n^2
  • 2n
  • n+1
  • d. n-1           page 85

The number of nodes in a complete binary tree of height h is:

  • * (h+1) – 1
  • * (h+1)
  • b. 2^(h+1) – 1                             page 40
  • ((h+1)^2) – 1

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