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The line graph L(G) of a simple graph G is defined as follows: There is exactly one vertex v(e) in L(G) for each edge e in G. For any two edges e and e' in G, L(G) has an edge between v(e) and v(e'), if and only if e and e' are incident with the same vertex in G. Which of the following statements is/are TRUE? (P) The line graph of a cycle is a cycle. (Q) The line graph of a clique is a clique. (R) The line graph of a planar graph is planar. (S) The line graph of a tree is a tree.
Consider the following statements in respect of sets: 1. The union over the intersection of sets is distributive. 2. The complement of the union of two sets is equal to the intersection of their complements. 3. If the difference between the two sets is equal to the empty set, then the two sets must be equal. Which of the above statements are correct?
A manufacturer of TV wants to make a profit of Tk. 300,000 on sale of 200 TV sets. It costs Tk. 10,000 each to make the first 100 TV sets and Tk. 7,500 each to make TV sets after the first 100 sets. What should be the selling price of each TV sets in Taka?
Which one of the following statements is correct with respect to the constructive plate margin? I. These plate margins are also called divergent plate margins. II. New oceanic crust is constantly being formed.
Which of the following statements are true with regards to the selection of a sample size? (i) The sample size (n) may be a fixed percentage of lot size (N). (ii) The sample size (n) may be kept constant irrespective of lot size (N). (iii) Sample size (n) can be selected at the personal whim of the inspector.
Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statement. Statement: All refrigerators are television sets. Some speakers are television sets. All speakers are fans. Conclusion: I. Some fans are television sets. II. Some television sets are refrigerators. III. No fans is a speaker
There are four students in a class namely A, B, C and D. A tells that a triangle is a bipartite graph. B tells pentagon is a bipartite graph. C tells square is a bipartite graph. D tells heptagon is a bipartite graph. Who among the following is correct?
1. A student drew a neat and error-free graph on a graph paper basing on the given data relating to physics. 2. The student answered the questions based on the graph correctly. 3. The student predicted the trend of the graph correctly by studying its nature. Out of the knowledge, understanding, application and skill based educational objectives, the above mentioned facts are based altogether on how many objectives?
Consider the following two tables and four queries in SQL. Book (isbn, bname), Stock (isbn, copies) Query 1: SELECT B.isbn, S.copies FROM Book B INNER JOIN Stock S ON B.isbn = S.isbn;   Query 2: SELECT B.isbn, S.copies FROM Book B LEFT OUTER JOIN Stock S ON B.isbn = S.isbn; Query 3: SELECT B.isbn, S.copies FROM Book B RIGHT OUTER JOIN Stock S ON B.isbn = S.isbn;   Query 4: SELECT B.isbn, S.copies FROM Book B FULL OUTER JOIN Stock S ON B.isbn = S.isbn;   Which one of the queries above is certain to have an output that is a superset of the outputs of the other three queries?
Consider the following statements regarding limits and fits 1. Actual size is the standard size for the part and is the same both for the hole and its shaft. 2: Basic size is the dimension as measured on the manufactured part. 3. Deviation is the algebraic difference between a size and the corresponding basic size. Which of the above statements is/are correct ?