UPSC Prelims 2026Question 7Ancient History

Consider the following statements relating to the use of place value system in India:
1. The earliest epigraphic use of the place-value system in India is found in the Mankani plates from Gujarat (AD 595 — 596).
2. In the ninth century, place-values become general in inscriptions all over India.
3. The place-values have been found in Sanskrit inscriptions in South-east Asia as early as the seventh century.
Which of the statements given above are correct ?

Options

(a)1 and 2 only
(b)1 and 3 only
(c)2 and 3 only
(d)1, 2 and 3

Correct answer: d

Decision rule

Separate epigraphic from literary evidence: an 'earliest inscription' date sits later than the earliest text, so the two dates do not contradict each other.

Explanation

Correct Answer

(d) 1, 2 and 3

Explanation of the Correct Answer

All three statements are correct.

The Mankani / Sankheda copper plates from Gujarat, dated around AD 595–596, are widely cited as the earliest epigraphic evidence of the decimal place-value system in India.
By the ninth century CE, place-value notation had become more common in inscriptions across India, though older numeral forms also continued in some places.
Place-value numerals also appear in Sanskrit inscriptions in South-East Asia as early as the seventh century CE, showing the spread of Indian mathematical and epigraphic traditions beyond India.

Therefore, statements 1, 2 and 3 are correct.

Why Other Options Are Incorrect

Option	Verdict	Explanation
(a) 1 and 2 only	Incorrect	Statements 1 and 2 are correct, but statement 3 is also correct because place-value numerals are found in South-East Asian Sanskrit inscriptions from the seventh century.
(b) 1 and 3 only	Incorrect	Statements 1 and 3 are correct, but statement 2 is also correct because by the ninth century, place-value notation became more general in Indian inscriptions.
(c) 2 and 3 only	Incorrect	Statements 2 and 3 are correct, but statement 1 is also correct regarding the Mankani / Sankheda plates.
(d) 1, 2 and 3	Correct	All three statements correctly describe the epigraphic use and spread of the place-value system.

Relevant Supplementary Information

Important Milestones in the Place-Value System

Date / Period	Source / Evidence	Region	Significance
AD 499	Aryabhatiya of Aryabhata	India	Literary evidence of sophisticated mathematical ideas, though the question is about epigraphy.
AD 595–596	Mankani / Sankheda copper plates	Gujarat, India	Earliest known Indian epigraphic evidence of place-value notation.
AD 628	Brahmasphutasiddhanta of Brahmagupta	India	Important mathematical treatment of zero and arithmetic operations.
7th century CE	Sanskrit inscriptions in South-East Asia	Cambodia / Sumatra region	Shows spread of Indian numerals and place-value notation outside India.
9th century CE	Wider inscriptional use across India	India	Place-value notation became more general in inscriptions.
AD 876	Gwalior inscription	Madhya Pradesh, India	Famous early inscriptional use of zero as a numeral.

Place-Value System: Conceptual Clarity

Concept	Meaning	Example
Place-value system	Value of a digit depends on its position	In 222, each 2 has a different value: 200, 20, and 2
Decimal system	Base-10 system	Uses powers of 10
Zero as placeholder	Zero marks an empty place	203 differs from 23 because of zero
Epigraphic evidence	Evidence from inscriptions	Copper plates, stone inscriptions
Literary evidence	Evidence from texts	Aryabhatiya, Brahmasphutasiddhanta

Key Takeaways from the Tables

Mankani / Sankheda plates are important for the earliest known Indian epigraphic use of the place-value system.
Aryabhata and Brahmagupta are important for the literary and mathematical development of Indian numerals.
Epigraphic evidence means inscriptional evidence, not textual evidence.
The seventh-century South-East Asian inscriptions show the transmission of Indian mathematical and cultural ideas.
By the ninth century, place-value notation had become more common in inscriptions across India.

Point	Explanation
Mankani / Sankheda plates are crucial	They are linked with the earliest epigraphic use of the place-value system in India.
Epigraphic evidence differs from literary evidence	Inscriptions give dated, physical proof; texts show intellectual and theoretical development.
Zero had two roles	It functioned both as a placeholder and later as an independent number.
By the ninth century, place-value notation became common	Its inscriptional use spread widely across India.
South-East Asian evidence is important	It shows the spread of Indian numerals through Sanskritic cultural networks.
Indian numerals became globally transformative	They later spread through the Islamic world and Europe, becoming the basis of modern arithmetic.

Context and Current Relevance

The decimal place-value system is one of India’s major contributions to world mathematics.
Its spread to South-East Asia reflects India’s wider cultural and intellectual influence through Sanskrit, trade, religion, and inscriptions.
The system later became central to global arithmetic, science, accounting, and modern computing.

Table: Important Evidence for the Place-Value System and Numerals in India

Evidence / Source	Date / Period	Region	Importance
Aryabhatiya of Aryabhata	AD 499	India	Shows advanced mathematical thinking, including place-value-related concepts in literary tradition
Mankani / Sankheda copper plates	AD 595–596	Gujarat	Earliest known epigraphic evidence of the place-value system in India
Sanskrit inscriptions in South-East Asia	7th century CE	South-East Asia	Show the spread of Indian numerals and place-value notation outside India
Brahmasphutasiddhanta of Brahmagupta	AD 628	India	Important for mathematical treatment of zero and arithmetic operations
Wider inscriptional use across India	9th century CE	India	Place-value notation became more common in Indian inscriptions
Gwalior inscription	AD 876	Madhya Pradesh	Famous early inscriptional evidence for the use of zero as a numeral
Bakhshali Manuscript	Date debated	North-Western Indian region	Contains early mathematical notation, including use of a dot-like zero; dating remains debated
Transmission through Arab scholars	8th–10th century CE onward	West Asia	Helped spread Indian numerals to the Islamic world and later Europe
Use in European mathematics	Medieval period onward	Europe	Indian numerals became the basis of modern Hindu-Arabic numerals

Table: Important Indian Mathematicians and Contributions

Mathematician / Scholar	Period	Work / Association	Contribution
Aryabhata	5th–6th century CE	Aryabhatiya	Advanced astronomy and mathematics; place-value-related numerical ideas
Brahmagupta	7th century CE	Brahmasphutasiddhanta	Rules for zero, negative numbers, arithmetic, algebra, astronomy
Bhaskara I	7th century CE	Commentary on Aryabhata	Preserved and explained Aryabhata’s mathematical ideas
Mahavira	9th century CE	Ganita-sara-sangraha	Important Jain mathematician; contributed to arithmetic and algebra
Bhaskara II	12th century CE	Lilavati, Bijaganita	Major contributions to arithmetic, algebra, calculus-like ideas, astronomy
Madhava of Sangamagrama	14th–15th century CE	Kerala School	Infinite series, trigonometry, early calculus-like developments
Nilakantha Somayaji	15th–16th century CE	Tantrasangraha	Advanced astronomical models and mathematical astronomy

Table: Place-Value System vs Other Numeral Systems

Feature	Indian Decimal Place-Value System	Roman Numeral System	Earlier Tally / Additive Systems
Base	Base 10	Additive / subtractive symbols	Usually additive
Role of position	Very important	Limited / absent	Usually absent
Use of zero	Essential as placeholder and number	No true zero	No true zero
Ease of calculation	High	Difficult for multiplication and division	Limited
Scalability	Very high	Becomes cumbersome for large numbers	Becomes cumbersome
Modern relevance	Basis of global numeral system	Mostly symbolic today	Historical use only
Example	205	CCV	Repeated marks or tokens

Table: Related Mathematical Concepts

Concept	Meaning	Importance
Place value	Value of digit depends on its position	Makes compact writing of large numbers possible
Decimal system	Number system based on powers of 10	Basis of modern arithmetic
Zero as placeholder	Zero marks an empty place	Distinguishes numbers like 205 and 25
Zero as number	Zero used as an independent numerical value	Enables advanced arithmetic and algebra
Epigraphy	Study of inscriptions	Helps date historical use of numerals
Palaeography	Study of old scripts	Helps identify numeral forms in inscriptions and manuscripts
Copper plate inscriptions	Royal grants engraved on copper plates	Important evidence for administrative, land, and numeral history
Sanskrit inscriptions	Inscriptions written in Sanskrit	Spread Indian cultural and intellectual forms across South and South-East Asia

Table: Spread of Indian Numerals

Stage	Region / Medium	Significance
Development in India	Texts, inscriptions, administration, astronomy	Formation of decimal place-value notation
Use in inscriptions	Copper plates and stone inscriptions	Shows practical administrative use
Spread to South-East Asia	Sanskrit inscriptions, trade, religion, polity	Reflects wider Indian cultural influence
Transmission to West Asia	Arab scholars and translations	Indian numerals entered the Islamic intellectual world
Adoption in Europe	Medieval mathematical texts	Eventually replaced Roman numerals in calculation
Modern global use	Science, commerce, technology, computing	Basis of modern numerical notation

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