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Let G be a simple undirected graph. Let TD be a depth first search tree of G. Let TB be a breadth first search tree of G. Consider the following statements. (I) No edge of G is a cross edge with respect to TD. (A cross edge in G is between two nodes neither of which is an ancestor of the other in TD .) (II) For every edge (u, v) of if u is at depth i and v is at depth j in TB , then |? − ?| = 1. Which of the statements above must necessarily be true?
Which of the following statements are true? (A) Minimax search is breadth-first: it processes all the nodes at a level before moving to a node in next level. (B) The effectiveness of the alpha-beta pruning is highly dependent on the order in which the states are examined. (C) The alpha-beta search algorithm computes the same optimal moves as minimax algorithm. (D) Optimal play in games of imperfact information does not require reasoning about the current and future belief states of each player. Choose the correct answer from the options given below:
Consider a weight balanced tree such that, the number of nodes in the left sub tree is at least half and at most twice the number of nodes in the right sub tree. The maximum possible height (number of nodes on the path from the root to the farthest leaf) of such a tree on k nodes can be described as
Consider the following statements: 1. When a soil sample is dried beyond its shrinkage limit, the volume of the soil slowly decrease 2. The plastic limit is always lower than the liquid limit for any type of soil 3. At the liquid limit, the soil behaves like a liquid and possesses no shear strength at all 4. When subjected to drying, the volume of the soil remains unchanged once the water content of the soil goes below its shrinkage limit Which of the above statements are correct? 
What are the different limit states of design as per IS 456: 2000? a. Limit state of failure b. Limit state of damage c. Limit state of collapse d. Limit state of serviceability
In the following passage, some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of thefour alternatives. The way criminal justice is designed and administered today _______________ serves any of the purposes for which it is set up: towards securing life and property. It does not ________________ criminals because of the delay and uncertainties involved in its processes and ridiculously ineffective punishments it imposes ____________________ those few who get convicted. It provides wide discretion to the police and the prosecution, __________________ the system vulnerable to corruption and manipulation and endangering basic ____________________ of innocent citizens.
it imposes ____________________ those few who get convicted.
Consider a full binary tree with n internal nodes, internal path length i, and external path length e. The internal path length of a full binary tree is the sum, taken over all nodes of the tree, of the depth of each node. Similarly, the external path length is the sum, taken over all leaves of the tree, of the depth of each leaf. Which of the following is correct for the full binary tree?
Under Section 95 of the Code of Criminal Procedure, 1973, certain publications can be forfeited and search warrant can be issued for the same. In this context, which of the following is/are the correct legal proposition?
1. A news paper cannot be forfeited and search warrant cannot be issued for the same as it would be violative of the fundamental right of speech and expression
2. A book can be forfeited and search warrant can be issued for the same
3. A document can be forfeited and search warrant can be issued for the same
Select the correct answer:
Under section 95 of Criminal Procedure Code certain publications can be forfeited and search warrant can be issued for the same. In this context, the propositions are
1. A newspaper cannot be forfeited and search warrant cannot be issued for the same as it would be violative of the fundamental right of speech and expression and involves the fourth estate.
2. A book can be forfeited and search warrant can be issued for the same.
3. A document can be forfeited and search warrant can be issued for the same.
Which of the following is correct
We create a binary search tree B1 by inserting the numbers 1, 2, 3, 4, 5 into an empty binary search tree. We create another binary search tree B2 by inserting the numbers into an empty binary search tree in the reverse order. What is the difference between the right-most element of B1 and the left-most element of B2?