Data Structures Algorithms-II MCQs

Page No. 54

Who invented the concept of inclusion-exclusion principle?


aAbraham de Moivre


bDaniel Silva


c J.J. Sylvester


dSieve


View Answer Abraham de Moivre

Which of the following is not an application of inclusion-exclusion principle?


a Counting intersections


b Graph coloring


cMatching of bipartite graphs


dMaximum flow problem


View Answer Maximum flow problem

____________ is one of the most useful principles of enumeration in combinationatorics and discrete probability.


a Inclusion-exclusion principle


b Quick search algorithm


cEuclid’s algorithm


d Set theory



Which of the following is a correct representation of inclusion exclusion principle (|A,B| represents intersection of sets A,B)?


a|A U B|=|A|+|B|-|A,B|


b|A,B|=|A|+|B|-|A U B|


c|A U B|=|A|+|B|+|A,B|


d|A,B|=|A|+|B|+|A U B|


View Answer |A U B|=|A|+|B|-|A,B|

Which one of the following problem types does inclusion-exclusion principle belong to?


aNumerical problems


bGraph problems


cString processing problems


dCombinatorial problems



What will be the slope of the line perpendicular to the line 6x-3y-16=0?


a1/2


b-1/2


c2


d-2


View Answer -1/2

Which of the following is used to find the absolute value of the argument in C++?


aabs()


bfabs()


cmod()


dab()


View Answer fabs()

What will be the co-ordinates of foot of perpendicular line drawn from the point (-1,3) to the line 3x-4y-16=0?


a(1/5,2/5)


b(2/25,5/25)


c (68/25,-49/25)


d(-49/25,68/25)


View Answer (68/25,-49/25)

What will be the slope of the line given by 10x + 5y + 8=0?


a-5


b-2


c-1.25


d5


View Answer -2

What will be the slope of the line given by ax + by + c = 0?


a-a/b


b-b/a


c-c/a


da/c


View Answer -a/b

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