现已上线！2025 年 Telegram 研究 — 年度关键洞察 
Mathematics Optional
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📈 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
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10 405
The correct answer is d) All of the above ❤️.
Explanation: The Satavahana kingdom, which flourished in ancient India, was situated in the Deccan region. To its south were the kingdoms of the Chera rulers, the Chola rulers, and the Pandya rulers. These were prominent dynasties that ruled over territories in present-day South India during various periods of ancient Indian history. Therefore, all three options—Chera, Chola, and Pandya kingdoms—were located to the south of the Satavahana kingdom.
10 405
What was located to the south of the Satavahana kingdom?
a) The kingdom of the Chera rulers 😄
b) The kingdom of the Chola rulers 👍
c) The kingdom of the Pandya rulers 🙏
d) All of the above ❤️
10 405
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10 405
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