现已上线！2025 年 Telegram 研究 — 年度关键洞察 
Mathematics Optional
前往频道在 Telegram
📈 Telegram 频道 Mathematics Optional 的分析概览
频道 Mathematics Optional (@mathematics_optional_notes) 英语 语言赛道中的 是活跃参与者。目前社区聚集了 10 405 名订阅者，在 教育 类别中位列第 19 220，并在 印度 地区排名第 39 335 位。
📊 受众指标与增长动态
自 невідомо 创建以来，项目保持高速增长，吸引了 10 405 名订阅者。
根据 19 六月, 2026 的最新数据，频道保持稳定运转。过去 30 天订阅人数变化为 -98，过去 24 小时变化为 -2，整体触达仍然可观。
- 认证状态： 未认证
- 互动率 (ER)： 平均受众互动率为 5.36%。内容发布后 24 小时内通常能获得 N/A% 的反应，占订阅者总量。
- 帖子覆盖： 每篇帖子平均可获得 558 次浏览，首日通常累积 0 次浏览。
- 互动与反馈： 受众积极参与，单帖平均反应数为 0。
- 主题关注点： 内容集中在 upsc, mathematics, kataria, mathematic, ज्वाइन 等核心主题上。
📝 描述与内容策略
尚未提供频道描述。
凭借高频更新（最新数据采集于 20 六月, 2026），频道始终保持新鲜度与高覆盖。分析显示受众积极互动，使其成为 教育 类别中的关键影响点。
10 405
订阅者
-224 小时
-267 天
-9830 天
帖子存档
10 405
✔️ Due to Huge Demand of UPSC ASPIRANTS we created a Private channel for UPSC Prelims and Mains.👇
10 405
✔️ Due to Huge Demand of UPSC ASPIRANTS we created a Private channel for UPSC Prelims and Mains.👇
10 405
✔️ Due to Huge Demand of UPSC ASPIRANTS we created a Private channel for UPSC Prelims and Mains.👇
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Opened for few minutes only.
10 405
✔️ Due to Huge Demand of UPSC ASPIRANTS we created a Private channel for UPSC Prelims and Mains.👇
Join ➡️ 🟡🟡🟡🟡
?👇👇👇
https://t.me/+4zevAbTtMbA1Yjdl
https://t.me/+4zevAbTtMbA1Yjdl
Join Our Private Channel Now
Opened for few minutes only.
10 405
Answer: D. All of the above ❤️
Exoskeleton technology has a wide range of applications and benefits, including assisting individuals with mobility impairments, enhancing strength and endurance for manual labor tasks, and supporting rehabilitation efforts for patients recovering from injuries or surgeries.
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10 405
Question: What are some potential applications or benefits of exoskeleton technology?
A. Assisting individuals with mobility impairments in walking and standing upright 👍
B. Enhancing strength and endurance for manual labor tasks 😀
C. Supporting rehabilitation efforts for patients recovering from injuries or surgeries 🙏
D. All of the above ❤️
#upscprelims2024
#SecureIAS
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10 405
9000+ प्रश्नों के Set, बिलकुल फ्री,
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अभी तक आप सो रहे हो क्या? मौका जाने वाला है,जल्दी ज्वाइन करो👇https://whatsapp.com/channel/0029Va90cTm3GJP5U7z7nU42
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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10 405
What is the primary goal of the Pradhan Mantri Vaya Vandana Yojana (PMVVY)?
A) Providing guaranteed pensions to senior citizens aged 60 and above 🙏
B) Offering flexible investment options for individuals ❤️
C) Administering through private insurance companies 👍
D) Allowing unlimited investment in the scheme 😄
Answer with help of Emojis.
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10 405
What is the formula for calculating revenue deficit?
a) Total expenditure – Total receipts excluding borrowings
b) Fiscal deficit – Interest payments
c) Total revenue expenditure – Total revenue receipts 👍
d) Fiscal deficit – Total receipts excluding borrowings
