In a population of N families, 50% of the families have three children, 30% of the families have two children and the remaining families have one child. What is the probability that a randomly picked child belongs to a family with two children?

In a class of 200 students, 125 students have taken Programming Language course, 85 students have taken Data Structures course, 65 students have taken Computer Organization course; 50 students have taken both Programming Language and Data Structures, 35 students have taken both Data Structures and Computer Organization; 30 students have taken both Data Structures and Computer Organization, 15 students have taken all the three courses.How many students have not taken any of the three courses?

Let a(x, y), b(x, y,) and c(x, y) be three statements with variables x and y chosen from some universe. Consider the following statement:

 (∃x)(∀y)[(a(x, y) ∧ b(x, y)) ∧ ¬c(x, y)] 

Let R₁ be a relation from A = {1, 3, 5, 7} to B = {2, 4, 6, 8} and R₂ be another relation from B to C = {1, 2, 3, 4} as defined below:
1. An element x in A is related to an element y in B (under R₁) if x + y is divisible by 3.
2. An element x in B is related to an element y in C (under R₂) if x + y is even but not divisible by 3.
Which is the composite relation R₁R₂ from A to C?

What is the maximum number of edges in an acyclic undirected graph with n vertices?

What values of x, y and z satisfy the following system of linear equations?

Which one of the following regular expressions is NOT equivalent to the regular expression (a + b + c)*?

What is the minimum number of NAND gates required to implement a 2-input EXCLUSIVE-OR function without using any other logic gate?

Which one of the following statements is FALSE?

What is the minimum size of ROM required to store the complete truth table of an 8-bit × 8-bit multiplier?

What is the bit rate of a video terminal unit with 80 characters/line, 8 bits/character and horizontal sweep time of lOOµs (including 20 µs of retrace time)?

Consider a system with 2 level caches. Access times of Level 1 cache, Level 2 cache and main memory are 1 ns, 10ns, and 500 ns, respectively. The hit rates of Level 1 and Level 2 caches are 0.8 and 0.9, respectively. What is the average access time of the system ignoring the search time within the cache?

Let P be a singly linked list. Let Q be the pointer to an intermediate node x in the list. What is the worst-case time complexity of the best known algorithm to delete the node x from the list?

Which one of the following is NOT shared by the threads of the same process?

Let x be an integer which can take a value of 0 or 1. The statement if(x = =0) x = 1; else x = 0; is equivalent to which one of the following?

Which of the following commands or sequences of commands will rename a file x to file y in a unix system?

I. mv y,x
II. mv x,y
III. cp y, x(rm x)
IV. cp x, y (rm x) 

In a software project, COCOMO (Constructive Cost Model) is used to estimate

The diagram that helps in understanding and representing user requirements for a software project using UML (Unified Modeling Language) is:

A software organization has been assessed at SEI CMM Level 4. Which of the following does the organization need to practice beside Process Change Management and Technology Change Management in order to achieve Level 5?

A software configuration management tool helps is

Which level of locking provides the highest degree of concurrency in a relational database?

Which one of the following statements is FALSE?