Data Structures Algorithms-II MCQs

Page No. 102

What is the time complexity of the recursive implementation used to find the nth fibonacci term?


aO(1)

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bO(n2)

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cO(n!)

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dExponential

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View Answer Exponential

The following sequence is a fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21,….. Which technique can be used to get the nth fibonacci term?


aRecursion

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bDynamic programming

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cA single for loop

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dRecursion, Dynamic Programming, For loops

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You are given infinite coins of denominations 3, 5, 7. Which of the following sum CANNOT be achieved using these coins?


a15

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b16

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c17

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d4

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View Answer 17

You are given infinite coins of denominations 5, 7, 9. Which of the following sum CANNOT be achieved using these coins?


a50

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b21

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c21

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d23

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View Answer 21

You are given infinite coins of denominations 1, 3, 4. What is the minimum number of coins required to achieve a sum of 7?


a1

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b2

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c3

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d4

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View Answer 2

You are given infinite coins of denominations 1, 3, 4. What is the total number of ways in which a sum of 7 can be achieved using these coins if the order of the coins is not important?


a4

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b3

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c5

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d6

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View Answer 5

Suppose you are given infinite coins of N denominations v1, v2, v3,…..,vn and a sum S. The coin change problem is to find the minimum number of coins required to get the sum S. What is the space complexity of a dynamic programming implementation used to solve the coin change problem?


aO(N)

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bO(S)

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cO(N2)

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dO(S*N)

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View Answer O(S)

Suppose you have coins of denominations 1,3 and 4. You use a greedy algorithm, in which you choose the largest denomination coin which is not greater than the remaining sum. For which of the following sums, will the algorithm produce an optimal answer?


a14

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b10

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c6

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d100

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View Answer 100

Suppose you have coins of denominations 1, 3 and 4. You use a greedy algorithm, in which you choose the largest denomination coin which is not greater than the remaining sum. For which of the following sums, will the algorithm NOT produce an optimal answer?


a20

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b12

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c6

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d5

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View Answer 6

You are given infinite coins of denominations v1, v2, v3,…..,vn and a sum S. The coin change problem is to find the minimum number of coins required to get the sum S. This problem can be solved using ____________


aGreedy algorithm

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bDynamic programming

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cDivide and conquer

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dBacktracking

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View Answer Dynamic programming

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