Hi all,
Today is Day 15 of 30
Prelims Sleepy Series 2026
All 100 questions.
30 days.
Download the PDF given below.
Today is Day 15 of 30
Prelims Sleepy Series 2026
All 100 questions.
30 days.
Download the PDF given below.
๐1
Sleepy Classes IAS
Day 14 CSAT PYQ Series Today, we will be looking at a Maths question. We alternate between RC, LR and Quant PYQs in this series. Try to solve it. Solutions will be provided later today.
โStep 1:
Write the equation for the successive changes.
An increase of k% means multiplying by (1 + k/100).
A decrease of k% means multiplying by (1 - k/100).
โq = p * (1 + k/100) * (1 - k/100) * (1 + k/100) * (1 - k/100)
โStep 2:
Group and simplify the terms.
Using the algebra rule (a + b)(a - b) = a^2 - b^2
We can simplify each increase/decrease pair:
(1 + k/100) * (1 - k/100) = 1 - (k^2 / 10000)
โSince 10000 is 10^4, we can rewrite this fraction as:
(10^4 - k^2) / 10^4
โStep 3:
Combine both pairs.
Because the increase/decrease cycle happens twice,
we multiply the simplified pair by itself:
q = p * [ (10^4 - k^2) / 10^4 ] * [ (10^4 - k^2) / 10^4 ]
โq = p * [ (10^4 - k^2)^2 / (10^4)^2 ]
โStep 4:
Rearrange the equation.
Multiply the denominators:
(10^4)^2 = 10^8
Substitute that back in:
q = p * [ (10^4 - k^2)^2 / 10^8 ]
โMultiply both sides by 10^8 to clear the fraction:
q * 10^8 = p(10^4 - k^2)^2
โConclusion:
This matches option (a): p(10^4 - k^2)^2 = q * 10^8
Write the equation for the successive changes.
An increase of k% means multiplying by (1 + k/100).
A decrease of k% means multiplying by (1 - k/100).
โq = p * (1 + k/100) * (1 - k/100) * (1 + k/100) * (1 - k/100)
โStep 2:
Group and simplify the terms.
Using the algebra rule (a + b)(a - b) = a^2 - b^2
We can simplify each increase/decrease pair:
(1 + k/100) * (1 - k/100) = 1 - (k^2 / 10000)
โSince 10000 is 10^4, we can rewrite this fraction as:
(10^4 - k^2) / 10^4
โStep 3:
Combine both pairs.
Because the increase/decrease cycle happens twice,
we multiply the simplified pair by itself:
q = p * [ (10^4 - k^2) / 10^4 ] * [ (10^4 - k^2) / 10^4 ]
โq = p * [ (10^4 - k^2)^2 / (10^4)^2 ]
โStep 4:
Rearrange the equation.
Multiply the denominators:
(10^4)^2 = 10^8
Substitute that back in:
q = p * [ (10^4 - k^2)^2 / 10^8 ]
โMultiply both sides by 10^8 to clear the fraction:
q * 10^8 = p(10^4 - k^2)^2
โConclusion:
This matches option (a): p(10^4 - k^2)^2 = q * 10^8
โค5๐1
โ๐๐จ๐๐๐ฅ๐ข๐ณ๐๐ ๐๐ฎ๐ฅ๐ง๐๐ซ๐๐๐ข๐ฅ๐ข๐ญ๐ข๐๐ฌ:
Climate change impacts vary based on distinct local ecologies, landscapes, and societies rather than following a single global pattern.
โ๐๐ข๐ฆ๐ข๐ญ๐ฌ ๐จ๐ ๐๐ซ๐๐๐ข๐ญ๐ข๐จ๐ง๐๐ฅ ๐ ๐ฅ๐จ๐จ๐ & ๐๐๐ง๐๐ฌ๐ฅ๐ข๐๐ ๐๐๐ง๐๐ ๐๐ฆ๐๐ง๐ญ:
Embankments restrict natural river movement, while human interventions like deforestation, quarrying, and road construction on fragile hillsides intensify floods and landslides.
โ๐ ๐ฅ๐๐ฐ๐ฌ ๐ข๐ง ๐๐๐ฅ๐ข๐๐-๐๐๐ง๐ญ๐ซ๐ข๐ ๐๐จ๐ฏ๐๐ซ๐ง๐๐ง๐๐:
Recurring disasters expose the failure of relying mostly on post-disaster relief and rehabilitation instead of reducing vulnerabilities beforehand.
โ๐๐จ๐ฏ๐๐ซ๐ง๐๐ง๐๐ ๐๐ง๐ ๐๐ข๐ฌ๐ค:
Disaster risk is shaped by governance, ecological stewardship, and social vulnerabilities just as much as it is by meteorology.
โ๐๐ง๐๐ข๐'๐ฌ ๐๐ฐ๐จ๐๐จ๐ฅ๐ ๐๐ก๐๐ฅ๐ฅ๐๐ง๐ ๐:
India must build better systems to anticipate disasters while rethinking the governance of rivers, forests, mountains, and cities based on current ecological realities.
Climate change impacts vary based on distinct local ecologies, landscapes, and societies rather than following a single global pattern.
โ๐๐ข๐ฆ๐ข๐ญ๐ฌ ๐จ๐ ๐๐ซ๐๐๐ข๐ญ๐ข๐จ๐ง๐๐ฅ ๐ ๐ฅ๐จ๐จ๐ & ๐๐๐ง๐๐ฌ๐ฅ๐ข๐๐ ๐๐๐ง๐๐ ๐๐ฆ๐๐ง๐ญ:
Embankments restrict natural river movement, while human interventions like deforestation, quarrying, and road construction on fragile hillsides intensify floods and landslides.
โ๐ ๐ฅ๐๐ฐ๐ฌ ๐ข๐ง ๐๐๐ฅ๐ข๐๐-๐๐๐ง๐ญ๐ซ๐ข๐ ๐๐จ๐ฏ๐๐ซ๐ง๐๐ง๐๐:
Recurring disasters expose the failure of relying mostly on post-disaster relief and rehabilitation instead of reducing vulnerabilities beforehand.
โ๐๐จ๐ฏ๐๐ซ๐ง๐๐ง๐๐ ๐๐ง๐ ๐๐ข๐ฌ๐ค:
Disaster risk is shaped by governance, ecological stewardship, and social vulnerabilities just as much as it is by meteorology.
โ๐๐ง๐๐ข๐'๐ฌ ๐๐ฐ๐จ๐๐จ๐ฅ๐ ๐๐ก๐๐ฅ๐ฅ๐๐ง๐ ๐:
India must build better systems to anticipate disasters while rethinking the governance of rivers, forests, mountains, and cities based on current ecological realities.
๐5
Forwarded from Sociology Sleepy Classes
Sociologically Understanding Prashant Kishor's Win
https://youtube.com/shorts/bKcbQiT8lAo?si=UtR4U7Ngn7ljlcWA
https://youtube.com/shorts/bKcbQiT8lAo?si=UtR4U7Ngn7ljlcWA
YouTube
Sociologically Understanding | Prashant Kishor's Win
A Powerhouse for UPSC and State PSC PreparationFree Initiatives F...
โค3๐1
Forwarded from Sociology Sleepy Classes
Hello doston
2026 Mains ke pehle we are conducting this Sociology Mains Exam
Paper 1 : 9am-12pm
Paper 2 : 2-5pm
Date : 7th August, Friday
Can appear Online / Offline both
Link to join: https://lp.sleepyclasses.com/sociology-mains-mock-test
Just finished creating questions for paper-1
Mazaa aane waala hai ๐
2026 Mains ke pehle we are conducting this Sociology Mains Exam
Paper 1 : 9am-12pm
Paper 2 : 2-5pm
Date : 7th August, Friday
Can appear Online / Offline both
Link to join: https://lp.sleepyclasses.com/sociology-mains-mock-test
Just finished creating questions for paper-1
Mazaa aane waala hai ๐
โค1๐1
Dear students,
These are the topics Ayush Sir has covered on Day 1 of the Three Day Mains Current Affairs Workshop.
If you are appearing for UPSC Mains 2026, do not skip any of these topics.
https://lp.sleepyclasses.com/upsc-mains-current-affairs
These are the topics Ayush Sir has covered on Day 1 of the Three Day Mains Current Affairs Workshop.
If you are appearing for UPSC Mains 2026, do not skip any of these topics.
https://lp.sleepyclasses.com/upsc-mains-current-affairs
โค2๐1๐ฅ1
Forwarded from Sociology Sleepy Classes
Last Offline / Live Batch for Sociology (target UPSC CSE 2027) starting in exactly a weekโs time
10th August will be the start of Orientation
Absolutely focused on getting a rank
Letโs get very very serious and finish optional before December
(and I absolutely want you to complete entire GS from Mains perspective before December ends)
Letโs go for it
Let ussss go for it โโโ
10th August will be the start of Orientation
Absolutely focused on getting a rank
Letโs get very very serious and finish optional before December
(and I absolutely want you to complete entire GS from Mains perspective before December ends)
Letโs go for it
Let ussss go for it โโโ
โค4๐2
India has 50 MILLION+ pending court cases!
Expanding the Supreme Court to 37 judges (SC Amendment Bill 2026) is a start, but won't magically fix a broken system.
โ๐ง๐ต๐ฒ ๐ฃ๐ฒ๐ป๐ฑ๐ฒ๐ป๐ฐ๐ ๐๐ฟ๐ถ๐๐ถ๐
While 10,000+ cases have sat in the SC for over a decade, lower courts are drowning in 50 million unresolved disputes, crippled by thousands of vacant posts.
โ๐ฆ๐๐๐๐ฒ๐บ๐ถ๐ฐ ๐๐ผ๐๐๐น๐ฒ๐ป๐ฒ๐ฐ๐ธ๐
Why the gridlock?
Delayed appointments, severe staff shortages, and the government itself acting as the country's biggest litigant.
Fast-track courts fail if these core constraints aren't fixed.
โ๐ฅ๐ฒ๐ณ๐ผ๐ฟ๐บ๐ ๐ก๐ฒ๐ฒ๐ฑ๐ฒ๐ฑ ๐ก๐ผ๐
1)Time-Bound Appointments: Swiftly filling lower court vacancies.
2)Tech & Infrastructure: Scaling e-Courts Phase III and digital case management.
3)Pre-Litigation Filtering: Expanding mediation to resolve disputes before they reach a judge.
Expanding the Supreme Court to 37 judges (SC Amendment Bill 2026) is a start, but won't magically fix a broken system.
โ๐ง๐ต๐ฒ ๐ฃ๐ฒ๐ป๐ฑ๐ฒ๐ป๐ฐ๐ ๐๐ฟ๐ถ๐๐ถ๐
While 10,000+ cases have sat in the SC for over a decade, lower courts are drowning in 50 million unresolved disputes, crippled by thousands of vacant posts.
โ๐ฆ๐๐๐๐ฒ๐บ๐ถ๐ฐ ๐๐ผ๐๐๐น๐ฒ๐ป๐ฒ๐ฐ๐ธ๐
Why the gridlock?
Delayed appointments, severe staff shortages, and the government itself acting as the country's biggest litigant.
Fast-track courts fail if these core constraints aren't fixed.
โ๐ฅ๐ฒ๐ณ๐ผ๐ฟ๐บ๐ ๐ก๐ฒ๐ฒ๐ฑ๐ฒ๐ฑ ๐ก๐ผ๐
1)Time-Bound Appointments: Swiftly filling lower court vacancies.
2)Tech & Infrastructure: Scaling e-Courts Phase III and digital case management.
3)Pre-Litigation Filtering: Expanding mediation to resolve disputes before they reach a judge.
โค5๐2
Dear students,
These are the topics Ayush Sir has covered on Day 2 of the Three Day Mains Current Affairs Workshop.
Find PDF below
If you are appearing for UPSC Mains 2026, do not skip any of these topics.
https://lp.sleepyclasses.com/upsc-mains-current-affairs
These are the topics Ayush Sir has covered on Day 2 of the Three Day Mains Current Affairs Workshop.
Find PDF below
If you are appearing for UPSC Mains 2026, do not skip any of these topics.
https://lp.sleepyclasses.com/upsc-mains-current-affairs
Sleepyclasses
Sleepy Classes IAS
100 most important current affairs for UPSC Mains 2026 in a 3-day workshop by Sleepy Classes IAS. Choose online at โน2,499 or offline at โน4,999, with notes, recordings, and GS paper mapping.
๐1
Forwarded from Environment for UPSC by Dr Manmeet Kaur
Environment July 2026 CA Topics.pdf
391.4 KB
โค1๐1
Sleepy Classes IAS
Day 15 CSAT PYQ Series Today, we will be looking at an LR question. We alternate between RC, LR and Quant PYQs in this series. Try to solve it. Solutions will be provided later today.
CSAT PYQ Series
Solution of Day 15
โThe pattern works by moving backward through the months by an increasing number (0, 1, 2, 3, etc.)
โJanuary (move back 0 months) = January
โJanuary (move back 1 month) = December
โDecember (move back 2 months) = October
โOctober (move back 3 months) = July (X)
โJuly (move back 4 months) = March
โMarch (move back 5 months) = October
โOctober (move back 6 months) = April (Y)
โApril (move back 7 months) = September
โTherefore, X is July and Y is April.
โThe correct option is
(b) July, April.
Solution of Day 15
โThe pattern works by moving backward through the months by an increasing number (0, 1, 2, 3, etc.)
โJanuary (move back 0 months) = January
โJanuary (move back 1 month) = December
โDecember (move back 2 months) = October
โOctober (move back 3 months) = July (X)
โJuly (move back 4 months) = March
โMarch (move back 5 months) = October
โOctober (move back 6 months) = April (Y)
โApril (move back 7 months) = September
โTherefore, X is July and Y is April.
โThe correct option is
(b) July, April.
โค2๐2
Jharkhand holds ~40% of Indiaโs mineral wealth, yet its mining districts remain among the poorest. Why?
Anonymous Quiz
27%
Lack of heavy processing & refining industries in the state
52%
Wealth flows outward while local land & livelihoods are destroyed
11%
All mineral royalties are legally sent to the Central Government
10%
Fifth Schedule provisions strictly ban large-scale mining
โค5๐2
Sleepy Classes IAS
Jharkhand holds ~40% of Indiaโs mineral wealth, yet its mining districts remain among the poorest. Why?
โThe massive wealth gap and the governance paradox holding the state back, explained:
โ๐๐ฒ๐ ๐๐ถ๐ด๐ต๐น๐ถ๐ด๐ต๐๐
โข Despite holding nearly half the country's mineral wealth, Jharkhand's mining districts remain severely underdeveloped.
โข The District Mineral Foundation Trust (DMFT) was created in 2015 to channel mining revenues directly into local development, but on-ground outcomes remain drastically limited.
โ๐๐ฒ๐ ๐๐๐๐๐ฒ๐
โข Poor Implementation: Low transparency and weak utilization of DMFT funds.
โข Missed Revenue: Delayed mine auctions are actively reducing royalty collections and killing local employment.
โข Broken Basics: Mining areas continue to suffer from poor healthcare, education, roads, and livelihoods. Wealth generation is completely failing to translate into inclusive local development.
โ๐๐ผ๐๐ฒ๐ฟ๐ป๐ฎ๐ป๐ฐ๐ฒ ๐๐ถ๐ณ๐ณ๐ฒ๐ฟ๐ฒ๐ป๐ฐ๐ฒ (The Odisha Contrast)
Despite similar mineral potential, the numbers tell a shocking story:
โข Mining Revenue (2025โ26): Odisha at ~โน46,000 crore vs. Jharkhand at only ~โน22,000 crore.
โข Iron Ore Production: Odisha consistently produced ~180 million tonnes (2018โ19 to 2024โ25), while Jharkhand stagnated around 23 million tonnes annually.
โ๐ช๐ฎ๐ ๐๐ผ๐ฟ๐๐ฎ๐ฟ๐ฑ
To turn resource wealth into real prosperity, Jharkhand must:
โข Fast-track mine auctions while strictly maintaining environmental safeguards.
โข Ensure 100% transparent and timely utilization of DMFT funds.
โข Empower locals by strengthening social audits, Gram Sabha participation, and public disclosure of projects.
โข Aggressively prioritize health, education, drinking water, and livelihoods.
โIt is time to balance mineral extraction with sustainable and inclusive development.
โ๐๐ฒ๐ ๐๐ถ๐ด๐ต๐น๐ถ๐ด๐ต๐๐
โข Despite holding nearly half the country's mineral wealth, Jharkhand's mining districts remain severely underdeveloped.
โข The District Mineral Foundation Trust (DMFT) was created in 2015 to channel mining revenues directly into local development, but on-ground outcomes remain drastically limited.
โ๐๐ฒ๐ ๐๐๐๐๐ฒ๐
โข Poor Implementation: Low transparency and weak utilization of DMFT funds.
โข Missed Revenue: Delayed mine auctions are actively reducing royalty collections and killing local employment.
โข Broken Basics: Mining areas continue to suffer from poor healthcare, education, roads, and livelihoods. Wealth generation is completely failing to translate into inclusive local development.
โ๐๐ผ๐๐ฒ๐ฟ๐ป๐ฎ๐ป๐ฐ๐ฒ ๐๐ถ๐ณ๐ณ๐ฒ๐ฟ๐ฒ๐ป๐ฐ๐ฒ (The Odisha Contrast)
Despite similar mineral potential, the numbers tell a shocking story:
โข Mining Revenue (2025โ26): Odisha at ~โน46,000 crore vs. Jharkhand at only ~โน22,000 crore.
โข Iron Ore Production: Odisha consistently produced ~180 million tonnes (2018โ19 to 2024โ25), while Jharkhand stagnated around 23 million tonnes annually.
โ๐ช๐ฎ๐ ๐๐ผ๐ฟ๐๐ฎ๐ฟ๐ฑ
To turn resource wealth into real prosperity, Jharkhand must:
โข Fast-track mine auctions while strictly maintaining environmental safeguards.
โข Ensure 100% transparent and timely utilization of DMFT funds.
โข Empower locals by strengthening social audits, Gram Sabha participation, and public disclosure of projects.
โข Aggressively prioritize health, education, drinking water, and livelihoods.
โIt is time to balance mineral extraction with sustainable and inclusive development.
๐2