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## Leftlist Heap (Data Structure) MCQs

**1. How many nodes does a leftist tree with r nodes must have?**

a) 2r

b) 2r-1

c) 2r

d) 2r-1

**Answer: **2r-1

**2. Which of the following operations does not destroy the leftist heap property?**

a) insert

b) merge

c) delete

d) swap

**Answer: **delete

**3. What is the fundamental operation on leftist heap?**

a) insertion

b) merging

c) deletion

d) swapping

**Answer: **merging

**4. What is the efficiency of merge used in leftist heaps?**

a) O(N)

b) O(N log N)

c) O(M log N)

d) O(log N)

**Answer: **O(log N)

**5. What is the node path length of a node with 0 or 1 child?**

a) 1

b) -1

c) 0

d) null

**Answer: **0

**6. Why is this heap named leftist heap?**

a) only left subtrees exist

b) the tree is biased to get deep down the left

c) it is balanced

d) right trees are unbalanced

**Answer: **the tree is biased to get deep down the left

**7. In a leftist heap, all the operations should be performed on?**

a) left path

b) centre path

c) right path

d) root

**Answer: **right path

**8. What would be the result if the left subtree of the root has a null path length of 1 and the right subtree has a null path length of 2?**

a) merge occurs without violation

b) violation at left subtree

c) violation at right subtree

d) violation at the root

**Answer: **violation at the root

**9. What happens if the null path length is not updated?**

a) error occurs

b) all null path lengths will be 0

c) all null path lengths will be -1

d) all null path lengths will be 1

**Answer: **all null path lengths will be 0

**10. What is the time taken to delete a minimum element in a leftist heap?**

a) O(N)

b) O(N log N)

c) O(log N)

d) O(M log N)

**Answer: **O(log N)