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CUET PG 2026 Computer PYQ — Which algorithm have same order of complexity? A. Deletion from Q… | Mathem Solvex | Mathem Solvex

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CUET PG 2026 — Computer PYQ

CUET PG | Computer | 2026

Which algorithm have same order of complexity?
A. Deletion from Queue
B. Worst case search in binary search tree
C. Insertion in stack
D. Quick sort worst case

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Choose the correct answer:
Explanation
Solution

To find which algorithms have the same order of complexity, we analyze each operation individually:

A. Deletion from Queue:

In a standard queue (FIFO), deletion happens at the front. Using a linked list or an array with pointers, this is a constant time operation.

$\text{Complexity} = O(1)$

B. Worst case search in binary search tree (BST):

In the worst case, a BST can be skewed (like a linked list). To find an element, you might have to traverse all $n$ nodes.

$\text{Complexity} = O(n)$

C. Insertion in stack:

In a stack (LIFO), insertion (Push) occurs at the top. This is always a constant time operation.

$\text{Complexity} = O(1)$

D. Quick sort worst case:

The worst case for Quick Sort occurs when the pivot consistently results in highly unbalanced partitions (e.g., when the array is already sorted).

$\text{Complexity} = O(n^2)$

Comparison:

Algorithm A ( $O(1)$ ) and Algorithm C ( $O(1)$ ) have the same order of complexity.

Final Answer:

The correct option is (b) A, C.
Explanation
Solution

To find which algorithms have the same order of complexity, we analyze each operation individually:

A. Deletion from Queue:

In a standard queue (FIFO), deletion happens at the front. Using a linked list or an array with pointers, this is a constant time operation.

$\text{Complexity} = O(1)$

B. Worst case search in binary search tree (BST):

In the worst case, a BST can be skewed (like a linked list). To find an element, you might have to traverse all $n$ nodes.

$\text{Complexity} = O(n)$

C. Insertion in stack:

In a stack (LIFO), insertion (Push) occurs at the top. This is always a constant time operation.

$\text{Complexity} = O(1)$

D. Quick sort worst case:

The worst case for Quick Sort occurs when the pivot consistently results in highly unbalanced partitions (e.g., when the array is already sorted).

$\text{Complexity} = O(n^2)$

Comparison:

Algorithm A ( $O(1)$ ) and Algorithm C ( $O(1)$ ) have the same order of complexity.

Final Answer:

The correct option is (b) A, C.
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