Q. An array of n numbers is given, where n is an even number. The maximum as well as the minimum of these n numbers needs to be determined. Which of the following is TRUE about the number of comparisons needed?

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Q. The running time of an algorithm T(n),where 'n' is the input size, of a recursive algorithm is given as follows.is given by T(n) =c + T(n - 1), if n > 1 d, if n ≤ 1 The order of this algorithm is

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Q. Six files Fl, F2, F3, F4, F5 and F6 have 100,200,50,80, 120, 150 number of records respectively. In what order should they be stored so as to optimize access time? Assume each file is accessed with the same frequency.

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Q. An algorithm is made up of 2 modules Ml and M2. If order of M1 is f(n) and M2 is g(n) then the order of the algorithm is

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Q. The order of an algorithm that finds whether a given Boolean function of 'n' variables, produces a 1 is

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Q. The running time of an algorithm is given by T(n) = T(n - 1) + T(n - 2) - T(n - 3), if n > 3 n, otherwise.

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Q. A text is made up of the characters a, b, c, d, e each occurring with the probability .12, .4, .15, .08 and .25 respectively. The optimal coding technique will have the average length of

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Q. The time complexity of an algorithm T(n), where n is the input size, is given by T( n) = T( n - 1) + 1/n if n > 1 The order of this algorithm is

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Q. The concept of order (Big O) is important because

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Q. Which of the following sorting algorithms does not have a worst case running time of O(n2)?

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Q. Using the standard algorithm, what is the time required to determine that a number n is prime ?

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Q. Let m, n be positive integers. Define Q (m, n) as Q (m, n) = 0, if m>n Then Q (m, 3) is (a div b, gives the quotient when a is divided by b)

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Q. The worst case occur in quick sort when

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Q. What does it mean when we say that an algorithm X is asymptotically more efficient than Y?

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Q. The complexity of Fibonacci series is

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Q. The worst case complexity for insertion sort is

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Q. The worst case complexity of quick sort is

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Q. To measure Time complexity of an algorithm Big O notation is used which:

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Q. If for an algorithm time complexity is given by O(1) then complexity of it is:

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Q. If for an algorithm time complexity is given by O(log2n) then complexity will:

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