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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 10 347 subscribers, ranking 19 231 in the Education category and 38 757 in the India region.
📊 Audience metrics and dynamics
Since its creation on невідомо, the project has demonstrated rapid growth, gathering an audience of 10 347 subscribers.
According to the latest data from 30 June, 2026, the channel demonstrates stable activity. Although there has been a change in the number of participants by -122 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 2.96%. 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 01 July, 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.
10 347
Subscribers
-924 hours
-457 days
-12230 days
Posts Archive
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Answer & Explanation
c) both (a) and (b).
The Arabian Sea branch of the monsoon is much more powerful than the Bay of Bengal branch because – 1. Arabian sea is larger than the Bay of Bengal and 2. entire Arabian sea current advances towards India, whereas only a part of the Bay of Bengal current enters India.
@civilservicesbaba
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Q: The Arabian Sea branch of the monsoon is much more powerful than the Bay of Bengal branch because
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Question: In Jainism, the aim of life is to attain Nirvana or Moksha for which one has to--.
.
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Question: The word Jina from which the word Jain(ism) originates stands for?
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Question: The concept of anuvrata was advocated by:
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Strait of Malacca, waterway is connect which two water bodies?
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Q: The New Arrangement to Borrow (NBA) is the fund mobilization arrangement of the
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Bonn Convention: The Convention on the Conservation of Migratory Species of Wild Animals, also known as the Convention on Migratory Species (CMS) or the Bonn Convention, is an international agreement that aims to conserve migratory species within their migratory ranges. India is a signatory to this Convention.
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Popularly known as Dawki river, the Umngot river in Meghalaya is undisputedly the cleanest river in Asia with its crystal clear water. It originates from the Eastern Shillong Peak, which is located 1,800 m above sea level.
The river is in the village of Mawlynnong ("God's Own Garden") in Meghalaya, close to India’s border with Bangladesh, which is touted as Asia’s Cleanest Village.
Alongside cleanliness, the village has also achieved a rare feat — a 100% literacy rate.
It acts as a natural divide between Jaintia and Khasi hills, before finally flowing into Bangladesh.
@upscprelimszone
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What is the name of cleanest river of India, which is located in village Mawlynnong in Meghalaya and acts as a natural divide between Jaintia and Khasi hills, before finally flowing into Bangladesh?
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Wildlife Sanctuary of India
State —Wildlife Sanctuary
✍️—Himachal Pradesh —Chandratal, Pong Dam Lake, Renuka
✍️—Jammu-Kashmir —Changthal Cold Desert, Hokersar, Surinsar-Mansar
✍️—Jharkhand —Dalma, Gautam Buddha, Hazaribagh, Parasnath, Palamu, Topchanchi
✍️—Karnataka —Dandeli, Ghatprabha, Chincholi, Talakaveri.
✍️—Kerala —Thadekkad Birds, Idukki, Neyyar, Parambikulam, Malabar, Periyar, Voynad, Kumaracom
✍️—Andhra Pradesh —Koringa, Kolleru, Nagarjuna Sagar- Srisailam, Pranahita
✍️—Telangana —Nagarjuna Sagar - Shri Shailam, Pranahita, Kinneersani
✍️—Bihar —Barela Lake (present-day Salim Ali Jubba Sahni Birds Vihar), Bhimbandh, Gautam Buddha, Kanwarzhil, Kaimur, Valmiki, Vikramashila Ganga-Dolphin
#Prelims2023
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👁🗨List of Revolutions in the various field in India
🔲Black Revolution : Petroleum.
🔲Production Blue Revolution : Fish.
🔲Production Brown Revolution : Leather/non-conventional (India)/Cocoa production.
🔲Golden Fibre Revolution : Jute Production.
🔲Golden Revolution : Fruits/Overall Horticulture development/Honey Production.
🔲Green Revolution : Food grains.
🔲Grey Revolution : Fertilizer.
🔲Pink Revolution : Onion production/ Pharmaceutical (India)/Prawn production.
🔲Red Revolution : Meat and Tomato Production.
🔲Round Revolution : Potato Silver.
🔲Fiber Revolution : Cotton.
🔲Silver Revolution : Egg/Poultry Production.
🔲White Revolution (In India: Operation Flood) : Milk/Dairy production .
🔲Yellow Revolution : Oil Seeds production .
🔲Evergreen Revolution : Overall development of Agriculture.
🔲Rainbow Revolution : agriculture, horticulture, forestry, sugarcane, fishery, poultry and animal husbandry.
