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Discrete Structure MCQs

Discrete Structures MCQs Important Experiences

If you want to prepare Discrete Structure mcqs for passing initial tests of Pak Army, Pak Navy, or Pakistan Air Force as an officers in Information technology branch, as an ICTO, as a signal officer, or all Education branches of three Pakistani forces through permanent or Short Service Commission SSC, then learn all Discrete structure mcqs as given below.

  • ________ is a correct definition of a set. (A collection of unordered elements)
  • ________ symbol is used to represent the “subset” relation between two sets. (⊂)
  • ________ is true about the empty set (∅).  (It is a subset of all sets)
  • The complement of a set A with respect to a universal set U is denoted by                  (A’)
  • If A = {1, 2, 3} and B = {3, 4, 5},  A ∩ B is                   .   ({3})
  • The power set of a set A is                   .  (The set of all subsets of A)
  • _______ represents the Cartesian product of sets A and B.   (A × B)
  • If A and B are disjoint sets, A ∪ B is                   .   ( A ∪ B = A ∩ B )
  • If |A| = 10 and |B| = 5, the maximum possible value of |A ∩ B| is                   .  (5)
  • _____ operations is associative for sets.   (Union (∪) )
  • In graph theory, a graph is defined as                   . (A set of vertices connected by edges)
  • The degree of a vertex in a graph is defined as                   . (The number of edges adjacent to the vertex)
  • A complete graph is a graph in which                   .   (Every vertex is connected to every other vertex)
  • A graph that contains a cycle is called                   .  (A cyclic graph)
  • The chromatic number of a graph represents                     .  (The minimum number of colors needed to color the vertices of the graph such that no adjacent vertices have the same color)
  • ________ is true about a bipartite graph.  (It can be colored with two colors)
  • The complement of a graph G is a graph that                   (Contains the same number of vertices as G, with all the edges that were in G removed and all the edges that were not in G added)
  • A tree is a connected acyclic graph with                   (n-1 vertices and n-1 edges, where n is the number of vertices)

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Discrete Structure MCQs Online Tests

More online Discrete structure mcqs are given here to pass the initial tests of LCC, ICTO, DSSC, TCC, Aeronautical Engineering in PAF, Navy Weapon Engineering, Operational branch, IT Branch, Signal officers and Lecturer jobs.

  • The shortest path between two vertices in a weighted graph is found using                   .  (Dijkstra’s algorithm)
  • An Eulerian cycle in a graph is a cycle that                   .  (Visits every edge exactly once and ends at the starting vertex)
  • In Boolean algebra, the two possible values are                  .  (0 and 1, True and False, On and Off)
  • The basic operations in Boolean algebra are                  .   (AND, OR, NOT)
  • The complement of a Boolean variable A is denoted as                  .  (A’, A̅, ¬A)
  • The Boolean expression A AND (B OR C) can be simplified using                  . (Distributive law)
  • The Boolean expression (A AND B) OR (A AND C) can be simplified to                  . (A OR B) AND (A OR C)
  • De Morgan’s laws state that the complement of a Boolean expression (A AND B) is equivalent to                   (A’ AND B’)
  • The Boolean expression A XOR A is equal to                  .  (A AND A’)
  • The Boolean expression A NAND B is equivalent to                  .  (NOT (A AND B))
  • The Boolean expression (A OR B) AND (A OR C) can also be written as                  . (A AND B) OR (A AND C)
  • In graph theory, a tree is defined as a connected graph with                 .  (No cycles)
  • The number of edges in a tree with n vertices is                 .  (n – 1)
  • A tree with n vertices has exactly                    leaves.   (n)
  • The height of a tree is defined as                 .  (The number of edges in the longest path from the root to a leaf)
  • The root of a tree is                 .   (The topmost vertex in the tree)
  • ________ is true about a binary tree.   (Each vertex has at most two children)
  • A binary tree is considered complete if                 . (Each level is completely filled except for the last level, which is filled from left to right)
  • The preorder traversal of a binary tree visits the vertices in the                  order. (Root, Left, Right)
  • The post order traversal of a binary tree visits the vertices in the________                  order. (Left, Right, Root)

More questions of Discrete Structure MCQs are given below for more test preparation of Army, Navy PAF initial tests.

Discrete Structure MCQs with Answers Free Online Tests

Undermentioned Discrete Structure MCQs are very important for the preparation of initial tests of military forces those who are applying in LCC, AFNS, ICTO, Met branch, Admin branch, Aeronautical Engineering branch, and Navy Engineering branch.

  • The height-balanced property of an AVL tree guarantees that the height of the left and right subtrees of any node differ by at most                 (1)
  • In propositional logic, a proposition is                .  (A statement that can be either true or false)
  • The logical operator “AND” is represented by the symbol                .  (∧)
  • The logical operator “OR” is represented by the symbol                . (∨)
  • The negation of a proposition p is represented by the symbol                  .  (¬)
  • The implication operator in propositional logic is represented by the symbol                .  (→)
  • The logical operator “XOR” stands for                 (Exclusive Or)
  • De Morgan’s laws state that the negation of a conjunction (AND) is equal to                .  (The negation of the first proposition OR the negation of the second proposition)
  • The logical operator “NAND” is represented by the symbol                (↓)
  • The logical operator “NOR” is represented by the symbol                (∨)
  • If x is a prime number belonging to the set of natural numbers (N), then x is an ________ set.   (Infinite)
  • Convert the set x, which consists of positive prime numbers that divide 72, into roster form is ________.  {2, 3}
  • The intersection of the sets {1, 2, 8, 9, 10, 5} and {1, 2, 6, 10, 12, 15} is _____________.  {1, 2, 10}
  • If n(P) = 20, n(Q) = 30, and n(P U Q) = 40, then n(P ∩ Q) is ________.  (10)
  • ________ can be considered as discrete objects.   (Rational numbers, Integers, People)
  • If the functions g and f are onto functions, then the function (gof) is a _________ function.  (onto)
  • 7. If set P consists of 4 elements and set Q consists of 5 elements, then ________ injections can we define from set P to set Q.  (120)
  • ________ bytes are needed to encode 2000 bits of data.  (2 bytes)
  • The cardinality of the set of even positive integers less than 20 is ________. (9)
  • If P = {2, 8, 12, 15, 16} and Q = {8, 16, 15, 18, 9}, then the union of P and Q is ___________.   {2, 8, 9, 12, 15, 16, 18}
  • Consider two positive numbers a and b less than one. the maximum values of Ceil(a+b) and Floor(a+b) are ________.   (Ceil(a+b) is 2 and Floor(a+b) is 1)
  • The negation of the bits “1001011” is ________.  (0110100)
  • If the bits of Y = 100110 and the bits of X = 001101, the output of X (Ex-or) Y is ________.  (101011)
  • ________ Law of Boolean would prove X.X=X.  (Idempotent Law)
  • ________ condition is appropriate when adding two matrices.  (The columns of both matrices that we want to add are equal)
  • The Universal logic gate is ________.  (NAND)
  • ________ types of canonical forms exist for a Boolean Expression.   (Two)
  • In complexity theory, ________ case does NOT exist.  (Null Case)
  • The primary use of Boolean algebra is ________.  (To design digital computers)
  • ________ search compares every element against the searching element until it is not found.  (Sequential)
  • In mathematics, a sequence is ________.  (An infinite list of numbers in a specific order)
  • The sum of the terms in a sequence is called a ________.  (Series)
  • The nth term of an arithmetic sequence can be calculated using the formula ________.   (an = a1 + (n – 1)d)
  • The sum of the first n terms of an arithmetic series can be calculated using the formula ________.   (Sn = n(a1 + an)/2)
  • The nth term of a geometric sequence can be calculated using the formula ________.   (an = a1 * (n – 1)r)
  • The sum of the first n terms of a geometric series can be calculated using the formula ________.  (Sn = a1 * (1 – rn)/(1 – r))

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Discrete Structure MCQs Past Papers Online Free

If you are curious to prepare online free tests related to the Discrete Structure MCQs then learn all the given question before sitting in the entrance exam of Pak Defence Forces.

  • The sum of the first n natural numbers can be calculated using the formula ________.   (Sn = n(n + 1)/2)
  • The sum of the squares of the first n natural numbers can be calculated using the formula ________.  (Sn = n(n + 1)(2n + 1)/6)
  • The sum of the cubes of the first n natural numbers can be calculated using the formula________.  (Sn = n(n – 1)(2n + 1)/6)
  • The sum of an arithmetic series with a common difference of d, starting from a1, and ending at an, can be calculated using the formula ________.  (Sn = (n/2)(2a1 + (n – 1)d))
  • The probability of getting a head when flipping a fair coin is ________.  (0.5)
  • If two fair dice are rolled, the probability of getting a sum of 7 is ________.  (1/6)
  • A bag contains 5 red balls and 3 blue balls. If a ball is drawn at random from the bag, the probability of getting a red ball is ________.  (5/8)
  • In a deck of 52 playing cards, the probability of drawing a heart is ________. (1/4)
  • A box contains 10 red balls and 5 green balls. If two balls are drawn at random without replacement, the probability that both balls are red ________.  (1/15)
  • If the probability of an event A is 0.3 and the probability of an event B is 0.5,  the probability of both events A and B occurring is ________.  (0.15)
  • A fair six-sided die is rolled twice.  The probability of getting a sum of 9 or more is ________.  (1/3)
  • In a group of 20 people, 10 are men and 10 are women. If two people are selected at random, the probability that both are men is ________.  (1/4)
  • For a set of vertices, the ________  paths from the source are already known.  (Shortest)
  • Cost adjacency matrices represent graphs, where cost represents the edge ________. (Weight)
  • The diagonal values of the graph’s cost adjacency matrix are all ________.  (Infinite)
  • If no path exists between vertex Vs and another vertex Vi, then Vs is represented by ________.  (+∞)
  • All weights have been assumed ________ in this algorithm.  (Positive)
  • Predicate logic deals with propositions containing ________, which are variables.  (Variables)
  • Predicates represent one or more variables that are determined in a specific ________.  (Domain)
  • A predicate with variables can be made into a proposition by ________.(Assigning a value to a variable, Quantifying the variable)
  • A ________quantifies a variable of a predicate.  (Quantifier)
  • Types of quantifiers are there in predicate logic are ________.  (2)
  • The quantifier ∃ is called the ________ quantifier.  (Existential)
  • The quantifier ∀ is called the ________ quantifier.  (Universal)
  • The rule for the negation of a quantified proposition is ________. (De Morgan’s law)
  • Multiple quantifiers can be used to quantify propositions with________ variables.  (More than one)

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