GATE CSE 2023 Q12: Which array A[1..10] is a max-heap

Which one of the following sequences when stored in an array at locations $A[1], \ldots, A[10]$ forms a max-heap?

Try it: multiple choice: exactly one correct option

Wrong answer costs 1/3 mark in GATE.

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Answer: B (official GATE 2023 final answer key)

Concept used: Max-heap property in an array: $A[i] \ge A[2i]$ and $A[i] \ge A[2i+1]$ .

First step: For each option, compare every $A[i]$ with its children $A[2i]$ and $A[2i+1]$ for $i = 1, \ldots, 5$ .

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Source: official GATE 2023 CS question paper and final answer key, organised by IIT Kanpur. Question paper · Answer key