GATE CSE 2007 | GATE CSE Year Wise Previous Years Questions

GATE CSE 2007

MCQ (Single Correct Answer)

-0.6

Suppose the letters a, b, c, d, e, f have probabilities 1/2, 1/4, 1/8, 1/16, 1/32, 1/32 respectively. What is the average length of Huffman codes?

2.1875

2.25

1.9375

GATE CSE 2007

MCQ (Single Correct Answer)

-0.6

Let w be the minimum weight among all edge weights in an undirected connected graph. Let e be a specific edge of weight w . Which of the following is FALSE?

There is a minimum spanning tree containing e.

If e is not in a minimum spanning tree T, then in the cycle formed by adding e to T, all edges have the same weight.

Every minimum spanning tree has an edge of weight w .

e is present in every minimum spanning tree.

GATE CSE 2007

MCQ (Single Correct Answer)

-0.6

Suppose the letters a, b, c, d, e, f have probabilities 1/2, 1/4, 1/8, 1/16, 1/32, 1/32 respectively. Which of the following is the Huffman code for the letter a, b, c, d, e, f?

0, 10, 110, 1110, 11110, 11111

11, 10, 011, 010, 001, 000

11, 10, 01, 001, 0001, 0000

110, 100, 010, 000, 001, 111

GATE CSE 2007

MCQ (Single Correct Answer)

-0.6

Consider the process of inserting an element into a Max Heap, where the Max Heap is represented by an array. Suppose we perform a binary search on the path from the new leaf to the root to find the position for the newly inserted element, the number of comparisons performed is:

$$\Theta(\log_2n)$$

$$\Theta(\log_2\log_2n)$$

$$\Theta(n)$$

$$\Theta(n\log_2n)$$

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