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Mathematics Optional
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📈 Analytical overview of Telegram channel Mathematics Optional
Channel Mathematics Optional (@mathematics_optional_notes) in the English language segment is an active participant. Currently, the community unites 10 359 subscribers, ranking 19 162 in the Education category and 38 720 in the India region.
📊 Audience metrics and dynamics
Since its creation on невідомо, the project has demonstrated rapid growth, gathering an audience of 10 359 subscribers.
According to the latest data from 28 June, 2026, the channel demonstrates stable activity. Although there has been a change in the number of participants by -110 over the last 30 days and by -9 over the last 24 hours, overall reach remains high.
- Verification status: Not verified
- Engagement rate (ER): The average audience engagement rate is 2.95%. Within the first 24 hours after publication, content typically collects N/A% reactions from the total number of subscribers.
- Post reach: On average, each post receives 0 views. Within the first day, a publication typically gains 0 views.
- Reactions and interaction: The audience actively supports content: the average number of reactions per post is 0.
- Thematic interests: Content is focused on key topics such as upsc, mathematics, kataria, mathematic, ज्वाइन.
📝 Description and content policy
Channel description not provided.
Thanks to the high frequency of updates (latest data received on 29 June, 2026), the channel maintains relevance and a high level of publication reach. Analytics show that the audience actively interacts with content, making it an important point of influence in the Education category.
10 359
Subscribers
-924 hours
-397 days
-11030 days
Posts Archive
10 359
1100+ प्रश्नों के Set, बिलकुल फ्री,
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10 359
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10 359
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📚Consized MedievalHistory notes
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10 359
Important trenches in the oceans:
1. Mariana Trench:
- Location: Western Pacific Ocean
- Deepest Point: Challenger Deep, approximately 10,994 meters (36,070 feet) deep.
2. Puerto Rico Trench:
- Location: North Atlantic Ocean
- Deepest Point: Milwaukee Deep, approximately 8,376 meters (27,480 feet) deep.
3. Sunda Trench:
- Location: Indian Ocean
- Deepest Point: Java Trench, approximately 7,450 meters (24,442 feet) deep.
4. Tonga Trench:
- Location: South Pacific Ocean
- Deepest Point: Horizon Deep, approximately 10,882 meters (35,702 feet) deep.
5. Philippine Trench:
- Location: Western Pacific Ocean
- Deepest Point: Philippine Deep, approximately 10,540 meters (34,580 feet) deep.
6. Japan Trench:
- Location: Northwestern Pacific Ocean
- Deepest Point: Japan Trench's Challenger Deep, approximately 10,554 meters (34,600 feet) deep.
7. Peru-Chile Trench:
- Location: Off the western coast of South America
- Deepest Point: Puerto Rico Deep, approximately 8,065 meters (26,460 feet) deep.
These trenches are notable for their extreme depths and serve as crucial features in the Earth's geology and oceanography.
https://t.me/CSEUPSCPrelims
10 359
*Q. Which schedule of the Indian Constitution contains provisions for the allocation of seats in the Rajya Sabha (Council of States) to each state and union territory? Additionally, what is the total number of seats in the Rajya Sabha?*
*A. Schedule 2, Total seats: 250 😊*
*B. Schedule 4, Total seats: 245 🙏*
*C. Schedule 3, Total seats: 260 👍*
*D. Schedule 5, Total seats: Rajya Sabha seats are not specified in the Constitution ❤️*
Join here 👇👇for such Indian Constitution Questions & Answers👇👇 https://whatsapp.com/channel/0029VaCA13J60eBafSiaM23w
10 359
1100+ प्रश्नों के Set, बिलकुल फ्री,
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अभी तक आप सो रहे हो क्या? *मौका जाने वाला है, जल्दी ज्वाइन करो*👇
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*जो अभी तक ज्वाइन नहीं हुआ है तो ज्वाइन हो जाओ जल्दी फिर मत कहना कि हमें पढ़ने के लिए कुछ मिला नहीं*👇👇
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10 359
*Q. Which article of the Indian Constitution is related to the Right to Education (RTE), ensuring free and compulsory education for children between the ages of 6 and 14 years? Additionally, when was this article inserted into the Constitution?*
*A. Article 21A, inserted in 2002 😊*
*B. Article 45, inserted in 1976 🙏*
*C. Article 15, inserted in 1986 👍*
*D. Article 51A, inserted in 1992 ❤️*
10 359
Right to Education
1. Objective: The Right to Education (RTE) is a fundamental right that ensures free and compulsory education for children aged 6 to 14 years in India.
2. Constitutional Provision: Enshrined in Article 21A of the Indian Constitution, which was inserted through the 86th Constitutional Amendment Act in 2002.
3. Compulsory Education: RTE mandates that the government must provide free and compulsory education to all children in the specified age group.
4. Private School Inclusion: The Act also mandates that private unaided schools reserve a certain percentage of seats for economically disadvantaged and socially weaker sections.
5. Infrastructure and Quality: RTE emphasizes the need for adequate infrastructure, qualified teachers, and a focus on improving the overall quality of education.
6. Prohibition of Capitation Fee: The Act prohibits the collection of any capitation fee and screening procedures during admissions to ensure inclusivity.
7. Implementation Challenges: While RTE is a landmark initiative, its implementation faces challenges like inadequate infrastructure, teacher shortages, and the need for improved quality standards.
8. Monitoring Mechanism: The National Commission for the Protection of Child Rights (NCPCR) and State Commissions for Protection of Child Rights (SCPCR) monitor and oversee the implementation of RTE at the national and state levels.
10 359
*Q. Identify the archaeological site in India that served as a major maritime center during the ancient period, connecting trade routes across the Indian Ocean. Additionally, name one significant artifact discovered at this site.*
*A. Lothal, with the discovery of a dockyard 😊*
*B. Dholavira, featuring the inscription of the ten large signs 🙏*
*C. Sanchi Stupa, housing relics of Buddha 👍*
*D. Kalibangan, revealing a unique ploughed field pattern ❤️*
Use Emojis to answer the Question
10 359
*Q. During the Maurya Empire, which ancient Indian ruler is credited with the establishment of the first centralized political authority and a sophisticated administrative system? Additionally, name the treatise traditionally attributed to him.*
*A. Chandragupta Maurya, Arthashastra ❤️*
*B. Ashoka the Great, Manusmriti 😊*
*C. Bindusara, Natya Shastra 🙏*
*D. Chanakya, Kamasutra 👍*
10 359
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📚Consized Modern History Notes
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📚Consized Physical Geography
📚Consized Agriculture Notes
📚Consized Indian Economy
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10 359
1100+ प्रश्नों के Set, बिलकुल फ्री,
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अभी तक आप सो रहे हो क्या? *मौका जाने वाला है, जल्दी ज्वाइन करो*👇
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*जो अभी तक ज्वाइन नहीं हुआ है तो ज्वाइन हो जाओ जल्दी फिर मत कहना कि हमें पढ़ने के लिए कुछ मिला नहीं*👇👇
https://whatsapp.com/channel/0029Va90cTm3GJP5U7z7nU42
10 359
🛍Last chance to avail NewYear Bumper Discount.
Offer Valid is ONLY for TODAY.
📌 Only 3 copies are remaining, at Discounted Rates.
📌 ALL Consized GS Notes Only @ Rs 99
📚Consized Ancient History Notes
📚Consized MedievalHistory notes
📚Consized Modern History Notes
📚Consized Art & Culture Notes
📚Consized IndianGeography
📚Consized World Geography
📚Consized Physical Geography
📚Consized Agriculture Notes
📚Consized Indian Economy
✅ ALL Consized GS Notes @ RS 99 Only
https://www.instamojo.com/civilservicesbooks/concise-notes-on-indian-geography-indian-agr/?discount=NewYear2024
10 359
जो छात्र छात्रा कोचिंग नहीं ले सकते वह हमारे फ़्री UPSC State PCS & 𝗦𝗦𝗖 ग्रुप में जुड़ने के लिए नीचे दी लिंक पर क्लिक करें, लिंक👇👇👇👇
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10 359
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10 359
Battle of Plassey
1. Year: 1757
2. Location: Plassey, Bengal
3. Parties Involved:
- British East India Company led by Robert Clive
- Nawab of Bengal, Siraj-ud-daulah
4. Key Events:
- Conspiracy between the British and Mir Jafar, a discontented noble in Siraj-ud-daulah's court.
- British forces, though outnumbered, secured support from Mir Jafar and other conspirators.
- The battle took place on June 23, 1757, with Robert Clive leading the British forces.
- Mir Jafar's betrayal during the battle resulted in a decisive victory for the British.
5. Outcome:
- Siraj-ud-daulah was defeated, leading to the establishment of British supremacy in Bengal.
- Mir Jafar was installed as the puppet Nawab, marking the beginning of British influence in Indian politics.
6. Significance:
- The Battle of Plassey played a crucial role in the expansion of British rule in India.
- It marked the decline of the Mughal influence in Bengal and the ascendancy of the British East India Company.
- The battle's aftermath laid the foundation for British colonial dominance in the Indian subcontinent.
10 359
*Q. Which committee of the Constituent Assembly prepared the draft of the Indian Constitution?*
*A. Drafting Committee ❤️*
*B. Constitution Committee 😊*
*C. Support Committee 🙏*
*D. Amendment Committee 👍*
