Q. Which of the following is the recurrence relation for the matrix chain multiplication problem where mat[i-1] * mat[i] gives the dimension of the ith matrix?

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Q. Consider the two matrices P and Q which are 10 x 20 and 20 x 30 matrices respectively. What is the number of multiplications required to multiply the two matrices?

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Q. Consider the matrices P, Q and R which are 10 x 20, 20 x 30 and 30 x 40 matrices respectively. What is the minimum number of multiplications required to multiply the three matrices?

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Q. Consider the matrices P, Q, R and S which are 20 x 15, 15 x 30, 30 x 5 and 5 x 40 matrices respectively. What is the minimum number of multiplications required to multiply the four matrices?

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Q. Consider the brute force implementation in which we find all the possible ways of multiplying the given set of n matrices. What is the time complexity of this implementation?

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Q. Which of the following methods can be used to solve the longest common subsequence problem?

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Q. Consider the strings “PQRSTPQRS” and “PRATPBRQRPS”. What is the length of the longest common subsequence?

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Q. Which of the following problems can be solved using the longest subsequence problem?

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Q. Longest common subsequence is an example of ____________

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Q. What is the time complexity of the brute force algorithm used to find the longest common subsequence?

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Q. Which of the following is the longest common subsequence between the strings “hbcfgmnapq” and “cbhgrsfnmq” ?

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Q. Which of the following methods can be used to solve the longest palindromic subsequence problem?

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Q. Which of the following strings is a palindromic subsequence of the string “ababcdabba”?

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Q. For which of the following, the length of the string is equal to the length of the longest palindromic subsequence?

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Q. What is the length of the longest palindromic subsequence for the string “ababcdabba”?

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Q. What is the time complexity of the brute force algorithm used to find the length of the longest palindromic subsequence?

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Q. For every non-empty string, the length of the longest palindromic subsequence is at least one.

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Q. Longest palindromic subsequence is an example of ______________

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Q. Which of the following methods can be used to solve the edit distance problem?

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Q. The edit distance satisfies the axioms of a metric when the costs are non-negative.

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