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Question

The market share data for an industry, comprising five companies, is given below :

Company Market Share (%)
35
B25
C18
D12
E10

This industry’s three-firms Herfindahl-Hirschman index shall be :

This question was previously asked in
UGC NET 2015 Paper 3 History Question Paper (28-Jun-2015)
The correct answer is

0.217

Option 2 — 0.217 is correct.

The Herfindahl-Hirschman Index (HHI) measures market concentration by summing the squares of the market shares of the firms considered. When shares are expressed as fractions (decimals), the index ranges from 0 (perfect competition) to 1 (pure monopoly). A "three-firm" HHI uses only the three largest firms.

The three largest firms are A (35%), B (25%) and C (18%). Converting to fractions and squaring:

HHI = (0.35)² + (0.25)² + (0.18)² = 0.1225 + 0.0625 + 0.0324 = 0.2174 ≈ 0.217.

Why the other options are wrong: 0.234 wrongly adds a fourth firm; 0.151 comes from summing squares of only two firms; 0.0175 confuses the index with an average share. Only the sum of the squared shares of the top three firms gives 0.217.

Takeaway: HHI = Σ(share)²; use decimal shares for a 0–1 scale and include exactly the number of firms specified.

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Similar Questions

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  2. Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).

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Important Questions from Business Competition

  1. Select the correct code of the following statements being correct or incorrect.

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