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A tautology is a Boolean formula that is always true. Which of the following is a tautology?
Abeer has 14 novels. Abeer’s friend Sanjay takes 3 of them and gives 2 novels to Abeer. Abeer donates 7 novels but buys 4. Joy takes 4 novels from Abeer and gives him 5. Abeer takes one novel from Sanjay and gives it to Joy in exchange for 3 more. Abeer gives those 3 novels to Sanjay and he gives Abeer a novel and a magazine. Rahul takes the magazine which Sanjay gave to Abeer and gives Abeer a textbook. Abeer gives the textbook to Joy in exchange for a novel. Rahul takes the novel from Sanjay, gives it to Joy for a magazine and gives Abeer the magazine for a novel. How many textbooks does Abeer have? 
interface Base{ boolean m1 (); byte m2(short s);}

which two code fragments will compile?
1. interface Base2 implements Base {}2. abstract class Class2 extends Base { public boolean m1(){ return true; }}3. abstract class Class2 implements Base {}4. abstract class Class2 implements Base { public boolean m1(){ return (7 > 4); }}5. abstract class Class2 implements Base { protected boolean m1(){ return (5 > 7) }}
"All people who live in Varanasi are people who drink tea, and all people who drink tea are people who like it. We may conclude, then, that all people who live in Varanasi are people who like it. What is wrong with this argument? (A) There is equivocation on the term "People who like it." (B) It commits existential fallacy  (C) It commits fallacy of exclusive premises.  (D) It commits fallacy of four terms.  Choose the correct answer from the options given below : 
Which of the following statements are true?
Statement I Big data refers to no precise quantity, but generally refers to data in the range of Petabytes and Exabyte, i.e. billions to trillions of records, all from various sources. Big data is generated much faster. than traditional data in much larger quantities.
Statement II Big data interests industries because they are able to learn more patterns and curious variances than smaller data sets, with the capability to provide valuable insights into consumer behaviour, weather systems, financial market activity, or other phenomena.
Statement III Various departments and product lines use various applications within most organisations and store data in separate datasets. These separate databases may contain similar data, but data from one data base to another is not always consistent. This is called data silo.
Which of the following problems is NOT NP-complete? I. Checking satisfiability of arbitrary Boolean formulae II. Checking satisfiability of Boolean formulae in conjunctive normal form (CNF/product of sums) III. Checking satisfiability of Boolean formulae in disjunctive normal form (DNF/sum of products)
Which one of the following Boolean expressions is a tautology?
Which one of the following Boolean expressions is NOT a tautology?
Given below are two statements : Statement I:- The fallacy of contradictory middle (viruddha) occurs in an argument when the middle term is found both where the major is found and where it is not found. Statement II :- The fallacy of contradictory middle (viruddha) is committed in an argument when the middle term is found only where major term is absent. In the light of the above statements, choose the correct answer from the options given below:
A fallacy where one tries to draw affirmative conclusion form the negative premise is the fallacy of