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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.
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?
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?
Which of the following are methods of calculating goodwill?
1. Average profit method
2. Super profit method
3. Log method
4. Sum of years digit method
5. Capitalisation of average profit method
6. Capitalisation of super profit method
7. FIFO method
Select the correct answer:
Statement I): Collin’s method for the determination of the unit hydrograph for a mutli-period storm considers residuals as attributable to the unit graph of the period of the largest rain. Statement II): Collin’s method is ab initio premised on the Bernard method where a unit graph is necessarily to be proportional to the net rain.
The translatory motion of an object moving on a smooth surface is represented by following distance - time Graph. What can be inferred from the graph? I. No force is required to keep the object in motion. II. The speed-time graph of the object is a straight line parallel to the time axis. III. The acceleration of the object is zero.
Consider the following statements about the income calculation methods 1. The method of measuring the aggregate value of spending that the firms receive for the final goods and services which they produce is called the expenditure method. 2. The method of measuring the sum total of all factor payments is called the income method. 3. The method of measuring the aggregate value of final goods and services produced by all the firms is called the product method. Which of the statements given above is/are correct?
In the two sets given below, Set – I specifies the methods of research while Set – Il describes the critical feature associated with a method of research. Match the two and select from the code to indicate your answer.   Set – I  (Research method)    Set – II (Critical features associated) (a)    Experimental method  (i)  Generalizing to the population from a large sample (b)  Ex post facto method   (ii)   Establishing the patterns of events which have happened, through primary and secondary sources (c)  Historical method   (iii)   Studying shared behaviour patterns (d)  Ethnographic method   (iv)   Establishing cause and effect through control       (v)    Probing into the causal factors from the observed effects 
What will be the output? interface A{ public void method(); } class One{ public void method(){ System.out.println("Class One method"); } } class Two extends One implements A{ public void method(){ System.out.println("Class Two method"); } } public class Test extends Two{ public static void main(String[] args){ A a = new Two(); a.method(); } }
Consider the following distance time graph. The graph shows three athletes A, B and C running side by side for a 30 km race With reference to the above graph, consider the following statements : 1. The race was won by A 2. B was ahead of A up to 25 km mark 3. C ran very slowly from the beginning. Which of the statements given above is/are correct ?