Chapter 10

Chapter Overview

The tenth chapter of the Class 7 Sanskrit curriculum, titled "दशमः कः?" (Who is the Tenth?), is designed around a pedagogical narrative that teaches cardinal numbers (संख्यावाचकशब्दाः) and ordinal numbers (पूरणशब्दाः) in Sanskrit. Moving beyond abstract memorization, the chapter utilizes an engaging folk tale about ten boys going for a swim in a river. Their comical predicament—where each boy counts the others but forgets to count himself—serves as a brilliant linguistic vehicle for teaching how numbers decline across genders (Masculine, Feminine, Neuter) and how ordinal indicators like Prathamah (First) and Dashamah (Tenth) function in everyday Sanskrit communication. Furthermore, the chapter integrates practical calendar structures, including the names of days of the week, traditional Indian months, and the English calendar months, establishing a comprehensive framework for chronological and numerical literacy in Sanskrit.

Learning Objectives

• Master the vocabulary and usage of cardinal numbers (Sankhyavachaka) from 1 to 100 in Sanskrit.
• Comprehend and apply ordinal numbers (Pooranashabda) to indicate rank, position, or sequence (e.g., Prathamah, Dvitiyah, Tritiyah).
• Understand gender-based morphological variations of numbers (e.g., Trayah vs. Tisrah).
• Analyze narrative texts in Sanskrit to extract comprehension, grammar patterns, and contextual meanings.
• Learn practical calendar nomenclature for days of the week (Saptahah), traditional lunar/solar months, and Gregorian months.
• Develop critical thinking and logical problem-solving skills through the lens of traditional Sanskrit stories.

Detailed Chapter Roadmap

1. Introduction and Classroom Context: Dialogues introducing positional ranks and sequencing among students.
2. The Main Narrative ("दशमः कः?"): Ten boys journey to a river, bathe, and struggle with counting due to a logical oversight, ultimately rescued by a clever traveller (Pathik).
3. Grammatical Foundation: Detailed breakdown of ordinal numbers (Pooranashabda) across masculine, feminine, and neuter genders.
4. Calendar and Time Systems: Systematic naming conventions for days of the week, traditional Indian calendar months, and Gregorian (English) months.
5. Practical Application and Exercises: Comprehensive practice covering direct questions, pattern completions, and numerical conversions.

Core Concepts

Ordinal Numbers (पूरणशब्दाः)

Ordinal numbers denote the precise position or rank of an object or person in a series. Unlike cardinal numbers, which simply state quantity (e.g., dash / ten), ordinal numbers behave like adjectives and must agree in gender, number, and case with the noun they qualify.

• Masculine Suffix: Typically ends in -ah in the nominative singular (e.g., Prathamah - first, Dvitiyah - second, Dashamah - tenth).
• Feminine Suffix: Typically ends in -ā or -ī (e.g., Prathamā, Dvitiīyā).
• Neuter Suffix: Typically ends in -am (e.g., Prathamam, Dvitiyam).

Cardinal Numbers (संख्यावाचकशब्दाः)

Cardinal numbers represent absolute quantities. In Sanskrit, numbers from 1 to 4 exhibit specific gender forms:

• 1: Eka (Masc: Ekah, Fem: Ekā, Neut: Ekam)
• 2: Dvi (Masc: Dvau, Fem: Dve, Neut: Dve)
• 3: Tri (Masc: Trayah, Fem: Tisrah, Neut: Trīni)
• 4: Catur (Masc: Chatvarah, Fem: Chatasrah, Neut: Catvāri)
• Numbers from 5 (Panch) onwards remain uniform across genders in their base nominative forms.

Logical Problem Solving in Narrative Grammar

The story embedded in this chapter introduces a classic logical puzzle: the psychological bias of counting external objects while ignoring the self ("आत्मनि विस्मृतिः"). When the leader of the boys counts only nine companions, he assumes one has drowned. The traveller corrects this by counting them sequentially and striking the tenth boy to prove his existence, turning a moment of panic into a lesson in mindful observation.

Key Definitions

• पूरणशब्दः (Ordinal Number): A number defining the relative position or order of items in a sequence (e.g., Tritiyah - third).
• संख्यावाचकशब्दः (Cardinal Number): A number expressing quantity (e.g., Trīni - three).
• पथिकः (Traveller): A wayfarer or passerby who resolves the counting dilemma in the story.
• मग्नः (Drowned / Submerged): Past passive participle indicating sinking into water.
• उत्तीर्णाः (Crossed over): Having successfully traversed or swum across a body of water.

Important Terms

Sanskrit Term	Transliteration	English Meaning
प्रथमः	Prathamah	First
द्वितीयः	Dvitiyah	Second
तृतीयः	Tritiyah	Third
चतुर्थः	Chaturthah	Fourth
पञ्चमः	Panchamah	Fifth
षष्ठः	Shashthah	Sixth
सप्तमः	Saptamah	Seventh
अष्टमः	Ashtamah	Eighth
नवमः	Navamah	Ninth
दशमः	Dashamah	Tenth
स्नातुम्	Snatum	To bathe
नदीम्	Nadeem	River (Accusative)
आनन्देन	Aananden	With joy / happily

Deep-Dive Case Studies and Real-Life Applications

Case Study: Chronological Management and Scheduling

In modern organizational life, scheduling events, tracking dates, and organizing competitive rankings rely heavily on ordinal positioning. When writing a formal itinerary in Sanskrit or scheduling academic terms:

• The first term exam is termed Prathamā Parikshā.
• The tenth month of the calendar year is designated as Dashamah Masah (October in the Gregorian calendar). Understanding how numbers inflect based on whether one is referring to a male student (Prathamah Chhatrah), a female student (Prathamā Chhatrā), or an event (Prathamam Karyam) ensures grammatical precision in official correspondence and academic writing.

Step-by-Step Problem Solving Strategies & Detailed Proofs

When tackling exercises involving numerical conversion in Sanskrit, follow this structural protocol:

1. Identify the Noun's Gender and Case: Determine whether the noun being counted is Masculine, Feminine, or Neuter, and whether it is a subject (Nominative) or object (Accusative).
2. Select the Correct Numerical Base: For quantities 1 to 4, match the gender form precisely. For 5 and above, use the standard unchanging cardinal form.
3. Apply Suffix Agreement: Ensure adjectives and numbers mirror the noun's विभक्ति (vibhakti - case). Example Proof:

• Input: (३) बालकाः (3 boys - Masculine Nominative Plural)
• Processing: Masculine form of 3 is Trayah.
• Output: त्रयः बालकाः

Higher-Order Thinking Skills (HOTS) Questions

1. Question: Why did the ten boys repeatedly fail to count themselves correctly, and what psychological or logical flaw does this highlight? Answer: The boys failed because each individual counted only the other members of the group while completely omitting themselves from the mental tally. This highlights the cognitive blind spot where human beings often analyze external entities while overlooking their own subjective presence in a system.
2. Question: Convert the phrase "The fifth girl won the second prize" entirely into Sanskrit using proper ordinal forms. Answer: पञ्चमी बालिका द्वितीयम् पुरस्कारं प्राप्तवती। (Panchami Balika Dvitiyam Puraskaram Praptavati.)

Previous Year Questions (PYQs) with Solutions

1. Question: दशमः कः आसीत् इति कथायाम् आधारेण लिखत। (Who was the tenth based on the story? Write.) Solution: कथायाम् आधारेण दशमः पथिकः आसीत् यः बालकान् सम्यक् रूपेण गणितवान्। (Based on the story, the tenth was the traveller who counted the boys correctly.)
2. Question: आङ्ग्लमासेषु दशमः मासः कः भवति? (Which is the tenth month in English months?) Solution: आङ्ग्लमासेषु दशमः मासः अक्टूबर-मासः भवति। (October is the tenth month in English months.)

NCERT Textbook Questions & Detailed Answers

Exercise 1: Multiple Choice Questions (विकल्पेभ्यः उचितम् उत्तरं चित्वा लिखत)

(क) कति बालकाः स्नातुं गताः?

• Answer: दश (Ten)

(ख) कतमः बालकः नद्यां मग्नः इति निश्चयम् अकुर्वन्?

• Answer: दशमः (The tenth one)

(ग) दशमः कः आसीत्?

• Answer: पथिकः (The traveller)

(घ) कः सम्यक् रूपेण बालकान् गणितवान्?

• Answer: पथिकः (The traveller)

(ङ) बालकाः कां तीर्त्वा पारं गताः?

• Answer: नदीम् (The river)

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Exercise 2: Answer in One Sentence (एकपदेेन / एकवाक्येन उत्तरत)

(क) दश बालकाः किमर्थं नदीम् अगच्छन्?

• Answer: दश बालकाः स्नानाय नदीम् अगच्छन्। (Ten boys went to the river to bathe.)

(ख) नायकः किम् अपृच्छत्?

• Answer: नायकः अपृच्छत् – अपि सर्वे बालकाः नदीम् उत्तीर्णाः? (The leader asked: Have all the boys crossed the river?)

(ग) बालकाः स्नानाय कुत्र अगच्छन्?

• Answer: बालकाः स्नानाय नदीम् अगच्छन्। (The boys went to the river for bathing.)

(घ) बालकाः किं निश्चयम् अकुर्वन्?

• Answer: बालकाः निश्चयम् अकुर्वन् यत् दशमः नद्यां मग्नः। (The boys made a decision that the tenth one had drowned in the river.)

(ङ) बालकाः कथं गृहम् अगच्छन्?

• Answer: बालकाः आनन्देन गृहम् अगच्छन्। (The boys went home happily.)

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Exercise 3 & 4: Days and Months Patterns (रिक्तस्थानानि पूरयत)

• सप्ताहस्य दिनानि (Days of the week):
  • प्रथमः दिवसः — रविवारसरः (Sunday)
  • षष्ठः दिवसः — शुक्रवासरः (Friday)
  • अन्तिमः दिवसः — शनिवारसरः (Saturday)

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Exercise 5: English Calendar Months (आङ्ग्लमासाः)

(क) आङ्ग्लमासेषु दशमः मासः — अक्टूबर-मासः (October) (ख) फरवरीमासः — द्वितीयः मासः अस्ति। (February is the second month.) (ग) आङ्ग्लमासेषु अष्टमः मासः — अगस्त-मासः (August) (घ) सितम्बरमासः — नवमः मासः अस्ति। (September is the ninth month.) (ङ) आङ्ग्लमासेषु अन्तिमः मासः — दिसम्बर-मासः (December)

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Exercise 6: Converting Numbers into Words (सङ्ख्याः शब्देषु लिखत)

(क) (३) अध्यापकाः — त्रयः अध्यापकाः (ख) (२०) छात्राः — विंशतिः छात्राः (ग) (१५) छात्राः — पञ्चदश छात्राः (घ) (५) अनुपस्थिताः — पञ्च अनुपस्थिताः (ङ) (१०) शब्दान् — दश शब्दान्