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Mathematics Optional

Mathematics Optional

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📈 Аналитический обзор Telegram-канала Mathematics Optional

Канал Mathematics Optional (@mathematics_optional_notes) языкового сегмента Английский является активным участником. Сейчас сообщество объединяет 10 359 подписчиков, занимая 19 162 место в категории Образование и 38 720 место в регионе Индия.

📊 Показатели аудитории и динамика

С момента создания невідомо проект демонстрирует стремительный рост, собрав аудиторию из 10 359 подписчиков.

Согласно последним данным от 28 июня, 2026, канал показывает стабильную активность. За последние 30 дней изменение числа участников составило -110, а за последние 24 часа — -9, при этом общий охват остаётся высоким.

  • Статус верификации: Не верифицирован
  • Уровень вовлечённости (ER): Средний показатель вовлечённости аудитории составляет 2.95%. В первые 24 часа после публикации контент обычно набирает N/A% реакций от общего числа подписчиков.
  • Охват публикаций: В среднем каждый пост получает 0 просмотров. В течение первых суток публикация набирает 0 просмотров.
  • Реакции и взаимодействия: Аудитория активно поддерживает контент: среднее количество реакций на один пост — 0.
  • Тематические интересы: Контент сосредоточен на ключевых темах, таких как upsc, mathematics, kataria, mathematic, ज्वाइन.

📝 Описание и контентная политика

Описание канала не предоставлено.

Благодаря высокой частоте обновлений (последние данные получены 29 июня, 2026) канал поддерживает актуальность и высокий уровень охвата публикаций. Аналитика показывает, что аудитория активно взаимодействует с контентом, что делает его важной точкой влияния в категории Образование.

10 359
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-397 дней
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Mridul shivhare Air 247 ,2021 Modern history notes https://t.me/cseupscnotes

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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

*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

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*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 ❤️*

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.

*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

*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 👍*

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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.

*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 👍*