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File Organization and Indexing

GATE CSE 2016 Set 2 · Q21

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B+ Trees are considered **BALANCED** because (A) the lengths of the paths from the root to all leaf nodes are all equal. (B) the lengths of the paths from the root to all leaf nodes differ from each other by at most 1. (C) the number of children of any two non-leaf sibling nodes differ by at most 1. (D) the number of records in any two leaf nodes differ by at most 1.

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Official answer: A) the lengths of the paths from the root to all leaf nodes are all equal.

File Organization and Indexing

By definition, a B+\text{B}^+ tree is perfectly height-balanced, which means all leaf nodes appear at the exact same depth from the root. Consequently, the length of the path from the root to any leaf node is identical for all leaf nodes.

  • (A) is correct because all leaf nodes are at the exact same level.

  • (B) describes AVL tree height-balance property across subtrees, not the strict height-balance of B/B+\text{B}/\text{B}^+ trees where leaf depths differ by 00.

  • (C) and (D) are incorrect properties and do not define the balanced nature of B+\text{B}^+ trees.

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This File Organization and Indexing previous year question is Q21 of the GATE CSE 2016 Set 2 paper. Find more GATE CSE PYQs on File Organization and Indexing in Databases, or browse all GATE CSE PYQs.

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File Organization and Indexing in GATE CSE

File Organization and Indexing has 17 GATE CSE PYQs across 17 papers from 2011 to 2026. 5 of them are 1-mark MCQs like this one, and it is the only one in GATE CSE 2016 Set 2.

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GateAI solution cardGATE CSE 2016 Set 2 · Q21 · MCQ

B+ Trees are considered BALANCED because (A) the lengths of the paths from the root to all leaf nodes are all equal. (B) the lengths of the paths from the root to all leaf nodes differ from each other by at most 1. (C) the number of children of any two non-leaf sibling nodes differ by at most 1. (D) the number of records in any two leaf nodes differ by at most 1.

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Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.