Monthly Archives: May 2023

NDA: Syllabus, Exam & Courses

NDA Syllabus 2023 – Maths, GAT, English Syllabus

Vikramshila Mahavihar: History and Revival

Vikramashila University was a Buddhist monastery and center of learning in ancient India. It was founded in the 8th century by King Dharmapala of the Pala dynasty. 

Establishment :
  • Established by King Dharmapala in response to a perceived decline in scholarship at Nalanda
  • One of the largest Buddhist universities in India
  • Known for its teachings on Vajrayana Buddhism and black magic
  • Attracted scholars from many countries
Decline and destruction :
  • Destroyed by the forces of Muhammad bin Bakhtiyar Khalji around 1193
  • The site is now the village of Antichak in the Bhagalpur district of Bihar
Reconstruction 
  • In 2015, the Indian government decided to reconstruct the university

Significance:
  • Produced many scholars who spread Buddhist culture and religion abroad 
  • Along with Nalanda, one of the most important centers of learning in India during the Pala Empire 
  • A major tourist spot in Bihar 
Subjects taught Grammar, Metaphysics, Philosophy, Indian logic, and Tantrism. 

The Future of Vikramshila University

Recognizing its historical significance, the Indian government has proposed to revive Vikramshila University as a modern center of education.

Steps Taken for Revival

  1. Government Initiatives: The Bihar government has been pushing for its revival, with plans to establish a world-class university at the same site.
  2. Central Government Approval: In recent years, the central government has supported the idea, with financial allocations for infrastructure and development.
  3. Tourism & Heritage Development: Efforts are being made to preserve the ruins and promote Vikramshila as a major Buddhist heritage site.
  4. Proposed Academic Model: If revived, the university could focus on Buddhist studies, philosophy, Indic knowledge systems, and interdisciplinary modern research.

Challenges Ahead

  • Archaeological preservation vs. new infrastructure development.
  • Securing international collaboration for research and education.
  • Maintaining cultural authenticity while modernizing the university.

If successfully revived, Vikramshila could become a global hub for Buddhist studies and an intellectual center reflecting India’s ancient educational heritage.

India Vs Pakistan: Champions Trophy 2025

Top 10 Most Hundreds in ODI Matches 2025

Virat Kohli became number one, followed by Sachin Tendulkar and Rohit Sharma.

Get here the list of top batsmen who have hit the most hundreds in ODI Match

Most Hundreds in ODI Career: 

Cricket is one of the most popular sports in the world, and the most exciting part of the game is batting. There is no sound louder than the roar of the crowd when a batsman hits a six. Everyone loves watching batsmen play, especially in the One-Day International games.

List of Players With Most ODI Centuries

All top 3 players with the most ODI hundreds are Indian. Virat Kohli is at the top followed by Sachin Tendulkar. Rohit Sharma is number 3 but far behind in numbers. Others aren’t even in the league. Kohli and Sharma are the only two active players in the list of players with the Top 10 most ODI centuries.

#1 Virat Kohli

Virat-Kohli-T20I-Century.png (1200×628)

Virat Kohli is often counted among the greatest living cricketers in the world. As captain, he has one of the highest success rates in Indian cricket history and is also a highly accomplished batsman. Indian batsman Virat Kohli registered a century from 111 balls against Pakistan at the Dubai International Stadium in the Champions Trophy 2025, as the Men in Blue comprehensively won the match by six wickets in the multi-country tournament.

#2 Sachin Tendulkar

Sachin-Tendulkar-PTI.jpg (1200×675)

Indian batsman Sachin Tendulkar is termed the God of Cricket and for a valid reason. In a career spanning over two decades, Tendulkar created many unbreakable records. He became the first person to score a double century in ODI cricket, the player with most international centuries and most runs in international cricket. In ODI, Tendulkar has amassed 49 centuries in 452 innings with the highest score of 200. His record will soon be broken by another Indian cricket icon Virat Kohli, but other records remain inconceivable.

#3 Rohit Sharma

278313.jpg (1200×756)

Rohit Sharma has scored 31 centuries in 262 innings with a highest score of 264. He is a known heavy hitter and owns the score for the highest individual score in ODI cricket.

Most ODI Centuries
Rank
Player Name
Hundreds
Innings
Runs
Highest Score
Span
1
Virat Kohli (India)
51
287
14085
183
2008-2025
2
Sachin Tendulkar (India)
49
452
18426
200*
1989-2012
3
Rohit Sharma (India)
31
262
11049
264
2007-2025
4
Ricky Ponting (Australia)
30
365
13704
164
1995-2012
5
Sanath Jayasuriya (Sri Lanka)
28
433
13430
189
1989-2011
6
Hashim Amla (South Africa)
27
178
8113
159
2008-2019
7
AB de Villiers (South Africa)
25
218
9577
176
2005-2018
8
Chris Gayle (West Indies)
25
294
10480
215
1999-2019
9
Kumar Sangakkara (Sri Lanka)
25
380
14234
169
2000-2015
10
David Warner (Australia)
22
157
6896
179
2009-2023
11
Sourav Ganguly (India)
22
300
11363
183
1992-2007
12
Tillakaratne Dilshan (Sri Lanka)
22
303
10290
161*
1999-2016
13
Quinton de Kock (South Africa)
21
155
6770
178
2013-2023
14
Ross Taylor (New Zealand)
21
220
8607
181*
2006-2022
15
Herschelle Gibbs (South Africa)
21
240
8094
175
1996-2010
16
Saeed Anwar (Pakistan)
20
244
8824
194
1989-2003
17
Babar Azam (Pakistan)
19
125
6106
158
2015-2025
18
Brian Lara (West Indies)
19
289
10405
169
1990-2007
19
Mahela Jayawardene (Sri Lanka)
19
418
12650
144
1998-2015
20
Martin Guptill (New Zealand)
18
195
7346
237*
2009-2022
21
Mark Waugh (Australia)
18
236
8500
173
1988-2002
22
Aaron Finch (Australia)
17
142
5406
153*
2013-2022
23
Shikhar Dhawan (India)
17
164
6793
143
2010-2022
24
Desmond Haynes (West Indies)
17
237
8648
152*
1978-1994
25
Jacques Kallis (South Africa)
17
314
11579
139
1996-2014
26
Joe Root (England)
16
149
6213
133*
2013-2023
27
Nathan Astle (New Zealand)
16
217
7090
145*
1995-2007
28
Adam Gilchrist (Australia)
16
279
9619
172
1996-2008
29
Shai Hope (West Indies)
15
113
4940
170
2016-2023
30
Upul Tharanga (Sri Lanka)
15
223
6951
174*
2005-2019
31
Virender Sehwag (India)
15
245
8273
219
1999-2013
32
Mohammad Yousuf (Pakistan)
15
273
9720
141*
1998-2010
33
Paul Stirling (Ireland)
14
150
5623
177
2008-2023
34
Eoin Morgan (England/Ireland)
14
230
7701
148
2006-2022
35
Tamim Iqbal (Bangladesh)
14
240
8357
158
2007-2023
36
Yuvraj Singh (India)
14
278
8701
150
2000-2017
37
Kane Williamson (New Zealand)
13
153
6554
148
2010-2023
38
Gary Kirsten (South Africa)
13
185
6798
188*
1993-2003
39
Jason Roy (England)
12
110
4271
180
2015-2023
40
Marcus Trescothick (England)
12
122
4335
137
2000-2006
41
Steve Smith (Australia)
12
129
5054
164
2010-2023
42
Faf du Plessis (South Africa)
12
136
5507
185
2011-2019
43
Rahul Dravid (India)
12
318
10889
153
1996-2011
44
Jonny Bairstow (England)
11
87
3640
141*
2011-2023
45
Gordon Greenidge (West Indies)
11
127
5134
133*
1975-1991
46
Jos Buttler (England)
11
140
4749
162*
2012-2023
47
Gautam Gambhir (India)
11
143
5238
150*
2003-2013
48
William Porterfield (Ireland)
11
145
4343
139
2006-2022
49
Viv Richards (West Indies)
11
167
6721
189*
1975-1991
50
Brendan Taylor (Zimbabwe)
11
203
6684
145*
2004-2021

List of Most ODI Centuries in 2025 (Active Players)

  1. Virat Kohli (51)
  2. Rohit Sharma (30)
  3. David Warner (20)
  4. Babar Azam (19)
  5. Quinton de Kock (17)
  6. Shikhar Dhawan (17)
  7. Joe Root (16)
  8. Tamim Iqbal (14)
  9. Kane Williamson (13)
  10. Steve Smith (12)

List of Most ODI Centuries in a Calendar Year

Player
100s
Year
Innings
Runs
Highest Score
Sachin Tendulkar (IND)
9
1998
33
1894
143
David Warner (AUS)
7
2016
23
1388
173
Rohit Sharma (IND)
7
2019
27
1490
159
Sourav Ganguly (IND)
7
2000
32
1579
144
Virat Kohli (IND)
6
2018
14
1202
160*
Rohit Sharma (IND)
6
2017
21
1293
208*
Virat Kohli (IND)
6
2017
26
1460
131
Gary Kirsten (SA)
6
1996
29
1442
188*
Sachin Tendulkar (IND)
6
1996
32
1611
137
Rahul Dravid
6
1999
43
1761
153

Credit- Google

MBA FROM FOREIGN COUNTRIES

Pursuing an MBA in a foreign country can be a rewarding experience, offering the opportunity to gain international exposure, access to a diverse network, and exposure to different business practices. 

Studying for an MBA in a foreign country is a significant decision, and thorough research and planning are essential.

Here are some key points to consider for MBA abroad:
  1. Choosing the Destination: Research various countries and business schools to find the best fit for your career goals, budget, and lifestyle. Popular destinations for international MBA programs include the United States, the United Kingdom, Canada, Australia, and various European countries.   
  2. Accreditation: Ensure that the business school you choose is accredited and recognized internationally. Accreditation from organizations like AACSB, EQUIS, and AMBA is often a good sign of quality.
  3. Program Duration: MBA programs abroad can vary in length. Traditional full-time MBA programs are typically two years, while one-year and part-time programs are also available.
  4. Admission Requirements: Be prepared for a competitive application process. Admission requirements may include standardized tests like the GMAT or GRE, letters of recommendation, a statement of purpose, and an interview.   
  5. Cost and Financial Aid: Consider the cost of tuition, living expenses, and exchange rates. Research scholarships, grants, and financial aid options, as well as opportunities for part-time work during your studies.
  6. Visa Requirements: Investigate the visa requirements of your chosen country, as they can vary significantly. Ensure that you have the necessary documentation to study abroad.
  7. Language Proficiency: Many MBA programs are offered in English, but you may need to demonstrate your proficiency in the language through exams like the TOEFL or IELTS.   
  8. Work Opportunities: Research post-MBA work opportunities, including the availability of post-study work visas. Some countries make it easier for international students to work and stay after graduation.
  9. Networking: International MBA programs provide an excellent opportunity to build a global network. Consider the strength of the alumni network and the connections the business school has with the industry.
  10. Cultural Adaptation: Be prepared for cultural differences and a potentially different style of education. Cultural adaptation is a crucial aspect of studying abroad.
  11. Return on Investment: Evaluate the potential return on investment for your MBA. Consider the earning potential, career opportunities, and your ability to repay any student loans. 
  12. Immigration and Employment Regulations: Keep up to date with the immigration regulations and employment opportunities in your chosen country. These can change, so it’s essential to stay informed.
  13. Application Timelines: Plan well in advance and follow the application timelines of your chosen business schools. Deadlines for applications, scholarships, and visas are important to meet.

JIPMER MEDICAL ENTRANCE EXAM

JIPMER MEDICAL ENTRANCE EXAMAbout JIPMER 

Know About MBBS Courses By JIPMER

Jawaharlal Institute of Postgraduate Medical Education and Research (JIPMER) can trace its origins to the ‘Ecole de Medicine de Pondicherry’ established by the French Government in 1823.

Unlock Exclusive Access To JIPMER Course Materials.

Courses Offered For JIPMER By Padho Leekho

In 1956 foundation for a new medical college was laid and in 1964, the hospital was inaugurated.

JIPMER became an institution of national importance under the Ministry of Health and Family Welfare, Government of India in the year 2008. It is an institution established for teaching, research, and patient care in the area of health.

JIPMER spreads over 192 acres. The institution houses one administrative block, one academic Centre, one nursing college, seven hospital blocks, seven accessory services buildings, and four residential complexes. 12 broad types of medical, nursing, and allied health science courses covering all disciplines in healthcare from basic to super specialty training are conducted.

JIPMER is one of the very few institutions in the country that provides teaching from undergraduate to super specialty & sub-specialties, conducting path-breaking research and providing specialty care of high order.The model of providing free specialty health care while maintaining quality and safety makes JIPMER a unique model in the country.

JIPMER’s success in providing the best treatment even to the least affordable in society makes it a model of specialty care delivery of the future. JIPMER continues to rank among the top five medical schools in the country.

JIPMER is witnessing expansion in the form of new campuses like JIPMER Karaikkal, and JIPMER outreach Centre at Yanam apart from the soon-to-be-commissioned screening OPD block and super speciality extension block. Conceptual plans for Puducherry’s second campus for the Institute of Organ Transplantation and Institute of Advanced Trauma and rehabilitation were initiated during this period.

ENROLL For Best JIPMER Exam Test Series By Padho Leekho

History & Milestones

Jawaharlal Institute of Postgraduate Medical Education and Research (JIPMER) can trace its origins to the ‘Ecole de Medicine de Pondicherry’ established by the French Government in 1823.

JIPMERThe college was located in the modified buildings of the High Court, which is now the Legislative Assembly Hall.In 1956, The Ambassador of France laid the foundation stone of our ‘new’ medical college that was located on the outskirts of Pondicherry town.

In the wake of the ‘de facto’ transfer of Pondicherry to the Government of India, the college was briefly named Dhanvantri Medical College, before being upgraded to a Regional Postgraduate Centre under the Ministry of Health and Family Welfare (DGHS), Government of India and renamed JIPMER.

The then President of India Dr. S. Radhakrishnan inaugurated the hospital and the outpatient buildings on 13 July 1964.

JIPMER

In July 2008, JIPMER was given the status of an Institution of National Importance by an Act of Parliament, on the lines of All India Institute of Medical Sciences, New Delhi and Postgraduate Institute of Medical Education and Research, Chandigarh. The increase in financial outlay has been translated into an all-round development of the institution with an increase in the number of staff, students, and services.

On 15 October 2008, the former President of India, Dr. A. P. J. Abdul Kalam along with Dr. Anbumani Ramadoss inaugurated the super-specialty block, the trauma care center, and the auditorium and dedicated JIPMER to the nation as an institution of national importance.

The present expansion of JIPMER (Phase II) has seen the development of the JIPMER Women and Children’s Hospital, the JIPMER Academic Centre, the new hostel complex for undergraduates and postgraduates and a common wellness center including a gymnasium, dining hall and other amenities.

JIPMER Exam Pattern

Conducting Body

JIPMER MBBS replaced by NEET, conducted by NTA

Mode of Exam

Offline

Exam Language

English Language

Duration of JIPMER 2023 Exam

2 hours and 30 minutes

Type of Questions

MCQ or Multiple-Choice Questions

Total Number of Questions

200

Sections

3 Subjects

Basic Admission Criteria

Merit-based and Entrance Test

Application Mode

Online

JOIN For Best Courses of the JIPMER Exam

Distribution of Questions

JIPMER 2023 Exam Pattern contains a total number of 200 questions that cover five sections Physics, Chemistry, Biology, Logic and Quantitative Reasoning, English, and Comprehension. Section-wise number of the questions is given below in a table.

Section

Number of Question

Physics

60

Chemistry

60

Biology

60

Logic and Quantitative Reasoning

10

English and Comprehension

10

Total

200

Courses Offered By JIPMER

Marking scheme for JIPMER

It is also one of the most important parts of the JIPMER 2023 Exam Pattern. Some of the important points are given below.

  1. There will be one mark given for each positive answer and one mark will be deducted for each negative answer.
  2. There will not be given any marks for any type of unattempt questions and also there won’t be any deduction for these questions.
  3. The percentile score will be calculated based on the raw score.
  4. The percentile score will be given for deciding the eligibility criteria that use the Cut-off score and preparing for merit rank.
  5. For the MBBS entrance, minimum eligibility marks will be 50% in aggregate for the general category and 40% in aggregate for a reserved category like SC/ST candidates.

Type of Question

Marking Pattern

Correct Answer

+4

Wrong Answer

-1

All for analysis

0

For any un-attempted question

0

JIPMER Exam Syllabus 

The questions for JIPMER are based on the syllabus as prescribed by State Board Hr. Sec. and CBSE for XI & XII Standards. That is, It will cover topics from Physics, Chemistry, and Biology studied in class 11 and class 12. The conducting body will not add anything to this syllabus. Subject-wise syllabus of the entrance exam is given in the tables below:

Physics Syllabus

The topics covered under the Physics section are based on Class 11 and Class 12 syllabus:

Optic Ray Wave Motion
Heat and Thermodynamics Solids and semi-conductor Devices
Magnetic Effect of Current and Magnetism Laws of Motion
Gravitation X-Rays
Electrostatics Modern Physics: (Atomic Models) & Current Electricity

Chemistry Syllabus

candidates preparing for the JIPMER MBBS exam will have to go through topics studied in higher secondary education.

Alkenes and Alkynes General Organic Chemistry
General Organic Chemistry Chemical Equilibrium
Alkanes p-block Elements
s-block Elements Chemical Bonding
Chemical Thermodynamics Mole Concepts
Transition Elements (d and f Block) and Electrochemistry

Biology Syllabus

The biology syllabus comprises topics prepared for 10+2 examinations.

Genetics Ecology
Human Health Diseases Origin of Life
Cell Plant Morpho
Plantae Cell Division
Mineral Nutrients Cell Respiration
Plant water relation Photosynthesis

English Syllabus

  1. Section A: Reading Unseen Passages and Note-making
  2. Section B: Writing Skills
  3. Section C: Literature and Long Reading Text
  4. Some of the questions will be based on synonyms, antonyms, and vocabulary

Logic and Quantitative Reasoning

As for Logic and Quantitative Reasoning, there is no set syllabus. However, candidates can expect questions from the following areas:

  1. Analogy test
  2. Logical deduction
  3. Figure formation and analysis
  4. Figure matrix, etc.

Trump ! Surprising Foreign Policy

If there were any lingering doubts about Donald Trump’s view of the Ukraine war and America’s support of Kyiv’s fight against Russia, he put them to rest in stark terms on Wednesday.

Lashing out at Volodymyr Zelensky, who less than three years ago received a standing ovation in Congress for his efforts to resist Russia’s invasion, the US president labeled Ukraine’s leader a “dictator” and accused him of corruption.

He said Zelensky wanted to “keep the gravy train” of foreign aid running, a day after he appeared to blame Ukraine – not Russia – for starting the war.

“Zelensky better move fast, or he is not going to have a country left,” Trump wrote.

It’s been just under a week since Trump and Russian President Vladimir Putin had a lengthy phone conversation. Now Trump is echoing Russia’s talking points about the war and the Ukrainian president.

Russia’s ambassador to the UK Andrei Kelin praised the Trump administration’s approach.

“For the first time we have noticed that they [the US] are not simply saying that this is Russian propaganda and disinformation. They have listened and they hear what we’re saying,” he told BBC Newsnight.

This sudden change in US foreign policy is indeed dramatic, but it should not be surprising. Trump has been charting this course for years.

His latest comments reflect an American president who is wielding total authority over his party and the full power of government to turn a transactional “America First” foreign policy view into reality.

Trump’s latest broadside against Zelensky came after the Ukrainian leader publicly rejected an American bid to gain access to – and profits from – Ukrainian minerals.

“That’s not a serious conversation,” Zelensky said. “I can’t sell our state.”

The US president seems serious, however, about reducing American military commitments to Europe and pivoting resources instead toward containing China.

And before his decisive election win in November, he frequently criticised the scale of US military aid being sent to Ukraine, describing Zelensky as “the greatest salesman of all time”.

While the voters who elected Trump may not have thought much about the Ukraine war – or foreign policy – in the election, Trump’s position on the issue wasn’t a political liability even as his opponents hammered him on it.

His willingness to now upend international norms and push the limits of US power on the global stage parallel his domestic efforts to slash the federal government and expand presidential authority. And, at least for the moment, there seems to be little interest among Trump’s own party in opposing him.

After his Wednesday social media posts, a few Senate Republicans expressed dismay.

“I certainly would not call President Zelensky a dictator,” Alaska Senator Lisa Murkowski said. Susan Collins of Maine, another regular Republican dissenter, said she disagreed with Trump, as did John Kennedy of Louisiana, who added that Putin was a “gangster”.

Fresh off a trip to Kyiv, Thom Tillis of North Carolina said the Ukraine war was “the responsibility of one human being on the face of the planet: Vladimir Putin”.

If the past is a guide, however, those words within his own party will not translate into any tangible attempt to redirect Trump’s foreign policy. Presidents have broad powers in international relations, and Trump has been clear about his views on Ukraine for years.

He has consistently blamed the Ukraine war on Biden administration weakness, and promised that ending it would be easy.

And while his earlier criticisms of Zelensky were not as sharp as this week, he regularly claimed that the Ukrainian president was adept at convincing Congress to send his country money.

Zelensky says Trump ‘living in disinformation space’ created by Russia

Trump has a long, uneven history with Zelensky, having been impeached in 2019 for withholding arms shipments to Ukraine in an attempt to pressure the Ukrainian leader to open an investigation into his Democratic rival, Joe Biden.

Zelensky’s aggressive pitches for foreign aid, the way the American left has celebrated him as a hero, and his sometimes blunt, confrontational style will all not have helped his case with the US leader.

“The idea that Zelensky is going to change the president’s mind by badmouthing him in public media, everyone who knows the president will tell you that is an atrocious way to deal with this administration,” Vice-President JD Vance said in a recent interview.

Trump has also been consistent in his solicitous views toward Putin and the Russian perspective. He said Putin was a “genius” just days after he launched his invasion of Ukraine. At a July 2018 US-Russia summit in Helsinki, Trump said he had no reason to doubt Putin’s insistence, counter to US intelligence findings, that Russia did not meddle in the 2016 US election.

In Trump’s first term, his foreign policy team included some senior officials more sceptical of Russian intentions – like John Bolton, Mike Pompeo and John Kelly – who were able to moderate the president’s foreign policy impulses. This time around, Trump is surrounded by many like-minded advisers – and those who might disagree are unwilling or unable to change Trump’s mind.

Secretary of State Marco Rubio, once viewed as a foreign policy hawk, has been careful to follow Trump’s lead. Keith Kellogg, a Russia critic who Trump picked as his Ukraine envoy, has been sidelined from negotiations with Moscow, while Steve Witkoff – Trump’s Middle East representative and trusted friend – is directly involved.

Trump also has a base of Republican support that agrees with him – further shoring up his political position.

A February Pew survey indicated only 30% of Republicans believed the current level of US support for Ukraine is “not enough” or “just right”. When the war began, 72% felt that way.

Forty percent of Republicans said they believed supporting Ukraine “hurts” US national security, versus only 27% who said it helps.

The Biden White House had argued that standing up to Russia in Ukraine was essential to US national security, but that is a far cry from how Trump and his closest advisers see the world – not in ideological clashes, but in transactions and relations that either benefit or harm American interests.

His Truth Social post, for instance, lamented that the US “will get nothing back” for the support it has given to Ukraine. His focus on the nation’s rare minerals tracks with his Middle East peace plan that involves the US redeveloping Gaza’s waterfront real estate into a resort, or his interest in maintaining control of – and profiting from – Syrian oil fields in his first presidential term.

Trump’s “America First” priorities do not involve committing US resources to spread democracy or getting involved in far-away conflicts across a “big, big beautiful ocean”, as he wrote on Wednesday.

The Ukraine war, he said, is “far more important to Europe than it is to us”.

This is a sharp change from the interventionist conservatism of George W Bush, the most recent Republican president before Trump. But with Trump as the face of the Republican Party since 2016, the changes over the past few weeks have been sudden – but they have also been a long time coming.

CAT EXAM 2025

The Common Admission Test (CAT) 2025 is a pivotal entrance examination for aspirants aiming to secure admission into prestigious management programs across India. Below is a comprehensive overview of the anticipated details for CAT 2025:

Exam Date

  • Tentative Date: November 23, 2025 (Sunday)
  • Official Notification Release: Expected by July 30, 2025

Historically, the CAT exam is conducted on the last Sunday of November. While November 30, 2025, is the anticipated date, candidates should await the official announcement for confirmation.

PADHO LEEKHO COURSES FOR CAT 25

Registration Details

  • Registration Period: August 2, 2025, to September 21, 2025
  • Application Correction Window: September 25 to September 28, 2025
  • Registration Fee:
    • General Category: ₹2,500
    • Reserved Categories: ₹1,250

Candidates can register online through the official CAT website during the specified period. It’s advisable to complete the registration early to avoid last-minute issues.

Admit Card and Examination

  • Admit Card Release: November 7, 2025
  • Exam Slots:
    • Slot 1: 8:30 AM to 10:30 AM
    • Slot 2: 12:30 PM to 2:30 PM
    • Slot 3: 4:30 PM to 6:30 PM

The admit card will be available for download from the official website. It is mandatory to carry a printed copy of the admit card along with a valid photo ID to the examination center.

Eligibility Criteria

  • Educational Qualification: Bachelor’s degree with at least 50% marks (45% for SC/ST/PwD candidates)
  • Final Year Students: Candidates appearing for the final year of their bachelor’s degree or equivalent qualification are also eligible to apply.

Ensure that you meet the eligibility criteria before registering for the exam.

Exam Pattern and Syllabus

The CAT 2025 exam is expected to follow a structure similar to previous years:

  • Duration: 2 hours
  • Sections:
    1. Verbal Ability and Reading Comprehension (VARC): 24 questions
    2. Data Interpretation and Logical Reasoning (DILR): 20 questions
    3. Quantitative Aptitude (QA): 22 questions

Each section is time-bound, and candidates must manage their time effectively. The syllabus encompasses a range of topics:

  • VARC: Reading comprehension, para-jumbles, sentence completion, etc.
  • DILR: Data interpretation, logical reasoning puzzles, etc.
  • QA: Arithmetic, algebra, geometry, number systems, etc.

A thorough understanding of the syllabus and consistent practice are key to performing well.

Preparation Tips

  1. Understand the Exam Pattern: Familiarize yourself with the structure and types of questions.
  2. Create a Study Plan: Allocate time for each section based on your strengths and weaknesses.
  3. Practice Regularly: Solve previous years’ papers and take mock tests to build speed and accuracy.
  4. Focus on Weak Areas: Identify and work on topics where you need improvement.
  5. Stay Updated: Regularly check the official CAT website for any updates or changes.

Consistent preparation and a strategic approach are essential to excel in the CAT exam.

Important Links

For the most accurate and updated information, always refer to the official CAT website.

Complexity of Earth and solar system movement

The movement of the Earth and the solar system is highly complex due to multiple gravitational interactions, rotational dynamics, and relativistic effects. Let’s break it down step by step:

1. Earth’s Motion:-

Earth exhibits multiple types of motion
a) Rotation on Its Axis
  • Earth rotates around its axis once approximately every 23 hours, 56 minutes, and 4 seconds (sidereal day).
  • This causes day and night.
  • The rotation is not perfectly constant due to precession, nutation, and Chandler wobble.

b) Revolution Around the Sun
  • Earth orbits the Sun in an elliptical path with an average speed of 29.78 km/s.
  • The orbit is affected by Kepler’s laws of planetary motion.
  • The axial tilt of 23.5° causes seasons.
  • Earth’s orbit is perturbed by other planets, leading to variations such as the Milankovitch cycles (affecting climate over thousands of years).

c) Precession and Nutation
  • The Earth’s axis undergoes precession, completing one full cycle in about 26,000 years due to gravitational forces from the Sun and Moon.
  • Nutation (a smaller oscillation) happens due to lunar gravitational influence.

2. Solar System’s Motion

The entire solar system is moving in multiple ways:

a) Orbit Around the Galactic Center
  • The Sun, along with the solar system, orbits the center of the Milky Way at a speed of 828,000 km/h.
  • One full orbit takes about 225-250 million years (Galactic Year).

b) Movement in the Local Stellar Neighborhood
  • The Sun moves relative to nearby stars at about 19.7 km/s towards a point called the Solar Apex (near the constellation Hercules).
c) Motion Due to Galactic Rotation and External Forces
  • The Milky Way is part of the Local Group of galaxies, moving towards the Great Attractor at about 600 km/s.

3. Relativistic and Chaotic Effects

  • General Relativity slightly modifies planetary orbits (e.g., Mercury’s perihelion shift).
  • Orbital resonances among planets cause long-term instability.
  • The three-body problem makes precise long-term predictions difficult.

4. Conclusion

Earth and the solar system’s motion involve multiple interacting forces, leading to complex, multi-scale dynamics influenced by Newtonian gravity, relativity, and chaotic effects. This complexity makes precise long-term modeling challenging but fascinating!

Credit-Google

Ukraine war talks start now

Trump says he has spoken to Putin and agreed to negotiate Ukraine ceasefire

Donald Trump has said that he and Vladimir Putin have agreed to begin negotiations to broker a ceasefire in Ukraine, later adding that it was unlikely Kyiv would win back all its territory or join Nato if a deal is to be reached.

Trump said that he was “OK” with Ukraine not having Nato membership and that it was “unlikely” that Ukraine would take much land back in the negotiations.

Russia “took a lot of land, and they fought for that land and they lost a lot of soldiers”, he told reporters later in the Oval Office.

Trump said he was not closely concerned with which territories were handed over.

“I’m just here to try and get peace,” he said. “I don’t care so much about anything other than I want to stop having millions of people killed.”

The rapid entry into negotiations with Russia and open demands that Ukraine concede land will have set alarm bells ringing in Kyiv and among its European allies that the Trump administration will offer minimal resistance to Putin’s demands in order to cut a deal as quickly as possible.

In a social media post, Trump said he held a “lengthy and highly productive phone call” with Putin and that they agreed to “have our respective teams start negotiations immediately”.

He said that he and Putin had agreed to visit each other’s countries, later telling reporters that their first meeting would take place in Saudi Arabia.

“As we both agreed, we want to stop the millions of deaths taking place in the War with Russia/Ukraine,” Trump wrote on Truth Social. “President Putin even used my very strong Campaign motto of, ‘COMMON SENSE.’ We both believe very strongly in it. We agreed to work together, very closely, including visiting each other’s Nations.”

The Kremlin confirmed the call and the mutual invitations for the leaders to visit each other’s countries in what would be the first visits by an American president to Russia since 2009 and the first by Putin to the US since 2015.

In its readout, the Kremlin also maintained a maximalist position, with Putin saying he “mentioned the need to eliminate the root causes of the conflict and agreed with Trump that a long-term settlement could be achieved through peaceful negotiations”.

Ukraine’s president, Volodymyr Zelenskyy – at least in public – offered support for the talks on Wednesday, saying he and Trump had held a “meaningful” conversation by phone. “No one wants peace more than Ukraine,” he wrote. “Together with the US, we are charting our next steps to stop Russian aggression and ensure a lasting, reliable peace. As President Trump said, let’s get it done.”

Trump told reporters that the US would seek to “secure” future military aid against Ukrainian rare earth minerals and other natural resources.

Trump said he was not concerned about freezing out Ukrainian president Volodymyr Zelenskyy of the talks, saying: “I don’t think so as long as he’s there.”

But, he said, “sometime [Ukraine’s] going to have to have elections too … His poll numbers aren’t particularly great.”

Trump said Zelenskyy would meet on Friday with the vice-president, JD Vance, and the secretary of state, Marco Rubio, on the sidelines of the Munich security conference.

Earlier on Wednesday, the US negotiating position was outlined in Brussels, where secretary of defence Pete Hegseth delivered public remarks that Kyiv must acknowledge that it cannot win back all the land occupied by Russia.

“We must start by recognising that returning to Ukraine’s pre-2014 borders is an unrealistic objective,” Hegseth said, sketching out an initial position for any peace negotiations with Russia.

“Chasing this illusory goal will only prolong the war and cause more suffering,” he added, though this could be interpreted as in effect acknowledging the annexation of Crimea, and large parts of the Donbas, by Russia.

Kyiv would only achieve peace through “robust security guarantees”, but Hegseth ruled out Nato membership for Ukraine. Instead, peace would have to be secured by “capable European and non-European troops”, who he stressed would not come from the US.

Any British or European troops deployed in Ukraine would not be covered by part of a Nato mission or covered by the alliance’s article 5 guarantee, Hegseth added, meaning they would in effect be reliant on help from participating states.

Though Hegseth set out some positions for achieving peace in Ukraine, few experts believe there has been any serious diplomatic progress. Russia, which has been gaining ground on the battlefield, remains keen to press home its advantage and has demanded that Ukraine cede further territory and in effect be demilitarize as part of a deal.

Russia’s demands could mirror those made on the eve of its full-scale invasion in 2021: that Ukraine adopt a neutral status and that Nato cease deploying weapons to member states that joined after 1997, when the alliance began accepting former communist nations. That includes much of eastern Europe, including Poland and the Baltic states of Latvia, Lithuania and Estonia.

In December, Putin also stated that he would insist on Ukraine adopting a neutral status and implementing some degree of demilitarization, while also demanding that the west lift its sanctions on Russia.

Kyiv has rejected those demands in the past and the Biden administration had said that it would be up to Ukraine to decide when to hold peace talks.

Earlier this week, Zelenskyy told the Guardian that Europe was not able to offer resilient security guarantees to Kyiv without the involvement of the US. “Security guarantees without America are not real,” he said.

A multinational deterrence force based in Ukraine after a ceasefire would need to be 100,000 to 150,000 strong, Zelenskyy said, though that would be far smaller than the 600,000-plus Russian troops in occupied Ukraine.

“Europe cannot field a force like this right now,” one senior European diplomat told the Guardian. “But we cannot force the US [to commit troops]. So we must accept this and figure out what we can do.”

Another senior European diplomat called the US position outlined by Hegseth a premature surrender, asking what there would be left to negotiate. The person also said that the readiness to offer concessions from Ukraine would encourage Russia to demand more in the upcoming negotiations.

In his readout of their call, Zelenskyy also suggested that Ukraine was reviewing a deal with the US regarding a new “security, economic cooperation, and resource partnership”. That followed a meeting between Zelenskyy and the treasury secretary, Scott Bessent, who had visited Kyiv to discuss US access to rare earth minerals, energy resources and energy assets, according to Reuters.

The US has suggested that it would seek access to rare earth minerals, which are strategic metals essential for industries developing computers, batteries and cutting-edge energy technology in exchange for providing military aid to Ukraine in the future.

The rapid developments have worried Europe that Putin and Trump appear to be negotiating the future of the continent’s security over the heads of the Europeans themselves.

“If Europe is responsible for Ukraine’s security and could even provide troops [under a ceasefire agreement], then we should have a seat at the table and be consulted with the Americans,” said one European official. “And we have not been consulted.”

European foreign ministers declared their support for Ukraine during a meeting of the country’s allies in Paris on Wednesday. The German foreign minister, Annalena Baerbock, said that Ukraine’s interests must be protected in the upcoming negotiations between Moscow and Washington. The French foreign minister, Jean Noël-Barrot, called for Europe’s direct participation in the talks, saying that there “will be no just and lasting peace in Ukraine without the participation of Europeans”.

A spokesperson for the British foreign office expressed support for Trump’s desire to bring the war to an end, but added: “Russia could do this tomorrow by withdrawing its forces and ending its illegal invasion. We have always said we will support Ukraine to achieve a just and lasting peace. Our priority right now is to put Ukraine in the strongest possible position.”

Trump’s announcement followed a prisoner swap involving Marc Fogel, a US teacher who was arrested in Moscow on drug charges, and Alexander Vinnik, who was arrested in 2017 in Greece on cryptocurrency fraud charges and then extradited to the US.

The deal was arranged by Steve Witkoff, Trump’s envoy to the Middle East, one of the president’s closest allies on the team that will lead negotiations with the Russians.

The US negotiating team would include the secretary of state, Marco Rubio; the director of the CIA, John Ratcliffe; the national security adviser, Michael Waltz; and the ambassador and Witkoff.

Notable for his absence from the negotiating team was Gen Keith Kellogg, whom Trump had earlier named his special envoy to Ukraine and Russia and who was in the process of meeting with European leaders to discuss the upcoming negotiations.

Yet few were convinced he spoke directly for Trump, and he offered few concrete details beyond his “deep faith” that Trump was the best person to negotiate the deal, one official said.

Credit-BBC

Moments in human history are etched into the Earth

Atomic grains of sand: How the history of humans is written into the fabric of the Earth

Getty Images Small boats in Brest harbour, lined up by a jetty. a suspension bridge can be seen in the background (Credit: Getty Images)

Moments in human history are etched into the Earth. Now researchers are piecing together evidence of our impact on the planet – through the marks we’ve left on nature.

The microbes living in this French harbour have never recovered from World War Two. Between 2012 and 2017, Raffaele Siano pulled sediment cores from the seabed at Brest harbour, wondering what he was going to find. When he and his colleagues at the French Institute for Ocean Science (Ifremer), analysed the fragments of DNA captured in those cores – they discovered something remarkable.

The oldest, deepest layers of sediment – dating to before 1941 – had traces of plankton called dinoflagellates that were strikingly different to the genetic traces of plankton left in the shallower, more recent layers. “There was a group, an order of these dinoflagellates, that was very abundant before World War Two – and after World War Two it almost disappeared,” says Siano. He and his colleagues published a study detailing their findings in 2021.

Siano mentions that Brest harbour had been bombed during the war. Then, in 1947, a Norwegian cargo ship exploded in the Bay of Brest. The disaster killed 22 people and spread ammonium nitrate, a toxic chemical used to make fertiliser and explosives, into the sea. Even younger sediment in the 1980s and 1990s showed further changes in the plankton community in the harbour. “We correlated this from another type of pollution coming from intensive agricultural activities,” says Siano.

Nature has a way of remembering things. Echoes of certain human activities, especially highly-polluting ones, sometimes show up in tree rings, coastal sediments and ecosystems. Arguably, these traces are hints of the Anthropocene, a proposed geological epoch in which humanity is said to have irrevocably, and drastically, altered Earth. Human history, it turns out, is written into the very fabric of our planet – and the life that co-exists here with us.

Ifremer/ Thomas Pellissier Pulling a sediment core from the Etang de Thau, a saltwater lagoon in the South of France (Credit: Ifremer/ Thomas Pellissier)

Siano and his colleagues are predominantly ecologists but they also work with historians. “The land changed because of human impact and also because of historical events,” Siano says. When the team analysed the sediment cores from Brest, they also detected a gradual rise in heavy metal pollution as time passed. Younger layers of sediment contained higher volumes of mercury, copper, lead and zinc, for example.

The report notes there were similar levels of some of these metals – especially lead and chromium – in Pearl Harbour, a major US naval base in Hawaii that was heavily bombed by Japanese warplanes in 1941. However, Siano adds that he can’t be sure whether these metals came directly from the bombs themselves. Either way, there is a signal in both Brest and Pearl Harbour of a calamitous, and polluting, moment in human history.

Other researchers have also scoured the planet in search of geological records of anthropogenic pollution. In China, soil sediments reveal a sharp increase in metal contamination since 1950 – which correlates with a rise in air pollution there during the second half of the 20th Century. A separate study explores how the emergence of industries such as shipbuilding may be linked with a higher incidence of heavy metal deposits in tree rings from certain parts of China.

Even Roman metallurgy, from many centuries ago, has left its mark. One 2022 study found a noticeable rise in lead contamination in ice, sediment and peat cores from Europe, correlated with the development of Roman industry. It is sometimes difficult to be sure which specific events caused spikes in lead contamination, however, note the authors.

The bomb turned buildings into dust… and spread this material across the nearby landscape – marking it forever

Jean-Luc Loizeau at the University of Geneva has studied the sediment of Lake Geneva, particularly the material found in a small area of the lake near to a wastewater treatment plant. He says the sediment there contains many traces of human activities. Crucially, the way water moves around in this part of the lake has helped to preserve such clues.

“It accumulates because there is a kind of gyre that keeps the sediment within the bay,” he says, referring to Vidy Bay, on the northern shores of the lake. In a 2017 paper, he and colleagues describe the heavy metal pollution that became evident here in sediment layers dating to the 1930s. Among the specific examples he gives is a spike in mercury contamination during the 1970s.

“We know there was an accident in one of these industries,” explains Loizeau. “There was some spilling of mercury because there was a break in a tank and we really find this peak in the sediment.” Plus, traces of elements such as barium in the cores could be linked to the rise of the automobile, adds Loizeau – because car brakes often contain barium.

Besides metals, radioactive materials have also found applications in various industries. In Switzerland, for instance, radium was long used to make glow-in-the-dark details on watch faces. Remnants of radium from the watchmaking industry have turned up in landfill sites and buildings in the country.

Eros The Sedan crater in the Nevada Desert was created in 1962 when a 104-kiloton nuclear device was detonated underground. It is 1,280 feet wide and 320 feet deep (Credit: Eros)
The Sedan crater in the Nevada Desert was created in 1962 when a 104-kiloton nuclear device was detonated underground. It is 1,280 feet wide and 320 feet deep 

And scattered around the globe are pieces of evidence that reveal the grim legacy left by nuclear weapons during the 20th Century. Take the giant craters in the Nevada desert made by huge weapons tests, for example. But some contamination caused by nuclear detonations is much more subtle.

In 2019, researchers revealed that some of the grains of sand on beaches near the Japanese city of Hiroshima are in fact particles of debris created when the US dropped an atomic bomb on the city on 6 August 1945, towards the end of World War Two. “The chemical composition of the melt debris provides clues to their origin, particularly with regard to city building materials,” the authors wrote. In other words, the bomb turned buildings into dust, heat from the explosion reshaped that dust, and the blast ultimately spread this material across the nearby landscape – marking it forever.

Remnants of nuclear explosions are not confined to the outdoors. They may be in your attic, too. Attic dust often lies undisturbed for decades – unlike urban soil, which is more likely to be disturbed – so traces of contaminants may remain.

A study published in 2003 reports the results of a survey of 201 homes in the US state of New Jersey. Among the traces the researchers found there were lead concentrations that roughly correlated with the prevalence of lead in air pollution during the 20th Century. But they also found small amounts of Caesium-137, a radioactive isotope. This was more common the older the property was and could perhaps be explained, the researchers suggest, by the frequency of above ground nuclear weapons tests in the US – especially during the 1950s and 1960s.

Alamy Particles of debris created when the US dropped an atomic bomb on Hiroshima, Japan, mingle with the sand on nearby beaches.
Particles of debris created when the US dropped an atomic bomb on Hiroshima, Japan, mingle with the sand on nearby beaches.

Siano and his colleagues are now looking further afield in their search for clues of human history embedded in nature. The team has collected more than 120 sediment cores from nine different countries around Europe, with the hope of finding further correlations between historical events and trace DNA or metal contamination left in those cores.

“We can look for the impacts of the Vesuvius volcano [eruption] in Naples,” says Siano, noting that the volcano last erupted in 1944. And here, as in other locations, the team may also detect signs of radioactive material ejected during the Chernobyl disaster – contamination from the accident having spread to over 40% of Europe.

And in yet more places, says Siano, evidence of everything from oil spills to the development of oyster farms may have been locked away in the sediment. “We have all the material to answer these questions,” he says.

Credit- BBC