π How to use this: Go through each question, try to answer mentally first, then check. Mark ones you got wrong with β and revise those topics first!
- 1. Basic Information about India
- 2. First in India and the World
- 3. Countries, Capitals & Currencies
- 4. UNESCO World Heritage Sites
- 5. International Organisations & HQ
- 6. Sobriquets / Nicknames
- 7. National Parks & Sanctuaries
- 8. Inventions & Discoveries
- 9. Superlatives β India & World
- 10. Sports Module
- 11. Books & Authors
- 12. Indian Awards & Recognition
- 13. Global Awards & Recognition
- 14. Indian Art & Culture
- 15. Indian Polity
- 16. Science & Technology
- 17. Indian Geography
- 18. Indian History
- 19. Number System
- 20. Average
- 21. Percentage
- 22. Profit & Loss
- 23. Simple & Compound Interest
- 24. Time & Work / Pipes & Cisterns
- 25. Ratio, Proportion & Ages
- 26. Time, Speed & Distance / Trains / Boats
- 27. Algebra & Equations
- 28. Mensuration 2D & 3D
- 29. Geometry
- 30. Permutation & Combination
- 31. Probability
- 32. Statistics
- 33. Clock & Calendars
- 34. Sets & Venn Diagrams
- 35. Alligation & Mixture
π₯ = Appeared in multiple previous years | β = High probability of appearing | π‘ = Tricky β read carefully
| # | Question | Answer |
|---|---|---|
| 1 π₯ | What is the national animal of India? | Bengal Tiger |
| 2 π₯ | What is the national bird of India? | Indian Peacock |
| 3 π₯ | Which is the largest state of India by area? | Rajasthan |
| 4 π₯ | Which is the smallest state of India by area? | Goa |
| 5 π₯ | Which is the largest state by population? | Uttar Pradesh |
| 6 π₯ | Which state has the longest coastline? | Gujarat |
| 7 β | What is the southernmost point of India? | Indira Point (Andaman & Nicobar) |
| 8 β | What is the northernmost point of India? | Siachen Glacier |
| 9 π₯ | How many states and UTs does India have? | 28 States + 8 UTs |
| 10 β | What is the national emblem of India? | Lion Capital of Ashoka (Sarnath) |
| 11 π₯ | What is the national river of India? | Ganga |
| 12 β | What is India's national fruit? | Mango |
| 13 β | What is India's national tree? | Banyan Tree |
| 14 π₯ | Who wrote the National Anthem of India? | Rabindranath Tagore |
| 15 β | Who wrote Vande Mataram? | Bankim Chandra Chattopadhyay |
| 16 π‘ | Which is the smallest Union Territory of India? | Lakshadweep |
| 17 β | Which is the largest Union Territory by area? | Ladakh |
| 18 π‘ | What is the official language of India as per the Constitution? | Hindi (along with English for official purposes) |
| 19 β | How many languages are in the 8th Schedule? | 22 |
| 20 β | Which city is known as the "Pink City"? | Jaipur |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Who was the first Prime Minister of India? | Jawaharlal Nehru |
| 2 π₯ | Who was the first President of India? | Dr. Rajendra Prasad |
| 3 π₯ | Who was the first female Prime Minister of India? | Indira Gandhi |
| 4 π₯ | Who was the first female President of India? | Pratibha Patil |
| 5 π₯ | Who was the first Indian to go to space? | Rakesh Sharma (1984) |
| 6 π₯ | Who was the first Indian woman to go to space? | Kalpana Chawla |
| 7 π₯ | Who was the first Indian to win the Nobel Prize? | Rabindranath Tagore (Literature, 1913) |
| 8 π₯ | Who was the first female IPS officer in India? | Kiran Bedi |
| 9 β | Who was the first Indian to climb Mount Everest? | Tenzing Norgay (1953) |
| 10 π₯ | Who was the first Indian woman to climb Everest? | Bachendri Pal (1984) |
| 11 β | Who was the first Governor-General of independent India? | Lord Mountbatten |
| 12 β | Who was the first Indian Governor-General? | C. Rajagopalachari |
| 13 π‘ | Who was the first Deputy PM of India? | Sardar Vallabhbhai Patel |
| 14 π₯ | Which was the first country to give women voting rights? | New Zealand (1893) |
| 15 β | Who was the first man to walk on the Moon? | Neil Armstrong (1969) |
| 16 π₯ | Who was the first woman in space? | Valentina Tereshkova (1963, USSR) |
| 17 π‘ | Who was the first person to reach South Pole? | Roald Amundsen (1911) |
| 18 β | Which was India's first satellite? | Aryabhata (1975) |
| 19 β | Who was the first Indian to win Olympic gold? | Abhinav Bindra (2008) |
| 20 π‘ | Which was the first newspaper in India? | Bengal Gazette (1780), by James Augustus Hicky |
| 21 β | Who was the first Chief Justice of India? | H.J. Kania |
| 22 π₯ | Which Indian woman first won a Grand Slam? | Sania Mirza (Doubles, 2009) |
| 23 β | First Five-Year Plan of India was in which period? | 1951β1956 |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Capital of Australia? | Canberra |
| 2 π₯ | Capital of Canada? | Ottawa |
| 3 π₯ | Capital of Brazil? | BrasΓlia |
| 4 π₯ | Currency of Japan? | Yen |
| 5 π₯ | Currency of China? | Yuan (Renminbi) |
| 6 π₯ | Which country uses the Taka? | Bangladesh |
| 7 π₯ | Which currency does Switzerland use? | Swiss Franc |
| 8 β | Capital of Myanmar? | Naypyidaw |
| 9 β | Capital of Sri Lanka? | Sri Jayawardenepura Kotte (legislative) / Colombo (commercial) |
| 10 β | Which countries use the Euro? | France, Germany, Italy, Spain & others (Eurozone) |
| 11 π‘ | Currency of UAE? | Dirham |
| 12 π₯ | Capital of Germany? | Berlin |
| 13 β | Capital of Pakistan? | Islamabad |
| 14 β | Capital of South Africa? | Pretoria (executive) |
| 15 π‘ | Currency of Russia? | Ruble |
| 16 β | Capital of Nepal? | Kathmandu |
| 17 π‘ | Which is the only country in the world with no official capital? | Nauru |
| 18 β | Capital of New Zealand? | Wellington (not Auckland!) |
| 19 π‘ | Currency of Saudi Arabia? | Saudi Riyal |
| 20 π₯ | Capital of USA? | Washington D.C. |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | In which state are the Ajanta Caves? | Maharashtra |
| 2 π₯ | In which state are the Ellora Caves? | Maharashtra |
| 3 π₯ | Konark Sun Temple is in which state? | Odisha |
| 4 π₯ | Hampi ruins are in which state? | Karnataka |
| 5 π₯ | Which year was the Taj Mahal declared a UNESCO site? | 1983 |
| 6 β | Which is India's latest UNESCO Heritage site? | Hoysala Temples (2023) |
| 7 β | Kaziranga National Park is a UNESCO site in which state? | Assam |
| 8 π₯ | Mahabodhi Temple is in which state? | Bihar |
| 9 β | Rani-ki-Vav is in which state? | Gujarat |
| 10 β | Fatehpur Sikri is in which city? | Agra, Uttar Pradesh |
| 11 π‘ | Which state has the most UNESCO Heritage Sites in India? | Tamil Nadu |
| 12 β | Valley of Flowers is in which state? | Uttarakhand |
| 13 π₯ | Qutub Minar is a UNESCO site β in which city? | New Delhi |
| 14 β | Nalanda Mahavihara was added to UNESCO list in which year? | 2016 |
| 15 π‘ | Great Himalayan National Park is in which state? | Himachal Pradesh |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | HQ of WHO? | Geneva, Switzerland |
| 2 π₯ | HQ of UNESCO? | Paris, France |
| 3 π₯ | HQ of WTO? | Geneva, Switzerland |
| 4 π₯ | HQ of IMF? | Washington D.C., USA |
| 5 π₯ | HQ of INTERPOL? | Lyon, France |
| 6 π₯ | HQ of SAARC? | Kathmandu, Nepal |
| 7 π₯ | HQ of ASEAN? | Jakarta, Indonesia |
| 8 π₯ | HQ of ICC (Cricket)? | Dubai, UAE |
| 9 π₯ | HQ of FIFA? | Zurich, Switzerland |
| 10 β | HQ of IOC (Olympics)? | Lausanne, Switzerland |
| 11 π₯ | HQ of NATO? | Brussels, Belgium |
| 12 β | HQ of OPEC? | Vienna, Austria |
| 13 β | HQ of IAEA? | Vienna, Austria |
| 14 π₯ | HQ of World Bank? | Washington D.C., USA |
| 15 π‘ | HQ of ILO? | Geneva, Switzerland |
| 16 β | HQ of UN? | New York, USA |
| 17 β | HQ of Red Cross (ICRC)? | Geneva, Switzerland |
| 18 π‘ | HQ of WEF (World Economic Forum)? | Davos / Geneva, Switzerland |
| 19 β | India is a member of which nuclear grouping? | NSG (Nuclear Suppliers Group) |
| 20 π₯ | When was the UN established? | 24 October 1945 |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Which city is called the "City of Joy"? | Kolkata |
| 2 π₯ | Which city is called the "Silicon Valley of India"? | Bengaluru |
| 3 π₯ | Which country is called "Land of Rising Sun"? | Japan |
| 4 π₯ | Which city is called "City of Nawabs"? | Lucknow (also Hyderabad) |
| 5 π₯ | Which city is called "Pink City"? | Jaipur |
| 6 β | Which city is called "Blue City"? | Jodhpur |
| 7 β | Which city is called "City of Lakes"? | Udaipur |
| 8 β | "Gateway of India" is associated with which city? | Mumbai |
| 9 π₯ | Which state is called "God's Own Country"? | Kerala |
| 10 π₯ | Which state is called "Spice Garden of India"? | Kerala |
| 11 β | Which state is called "Rice Bowl of India"? | Andhra Pradesh |
| 12 π‘ | Which country is called "Roof of the World"? | Tibet |
| 13 β | Which country is called "Land of Midnight Sun"? | Norway |
| 14 π‘ | Which country is called "Land of Thunderbolt"? | Bhutan |
| 15 β | Which city is called "Manchester of India"? | Ahmedabad |
| 16 π₯ | Which state is called "Land of Five Rivers"? | Punjab |
| 17 β | "Oxford of the East" refers to which city? | Pune |
| 18 π‘ | "Gift of the Nile" refers to which country? | Egypt |
| 19 β | "City of Pearls" is a nickname for? | Hyderabad |
| 20 π₯ | Which is called "Golden City" of India? | Jaisalmer |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Which is India's first National Park? | Jim Corbett National Park (1936), Uttarakhand |
| 2 π₯ | Kaziranga National Park is famous for? | One-horned Rhinoceros |
| 3 π₯ | Gir National Park is in which state? | Gujarat |
| 4 π₯ | Gir National Park is famous for? | Asiatic Lions |
| 5 π₯ | Sundarbans National Park is in which state? | West Bengal |
| 6 β | Which is the largest National Park in India? | Hemis National Park (Ladakh) |
| 7 β | Which is the smallest National Park in India? | South Button Island NP (Andaman) |
| 8 π₯ | Project Tiger was launched in which year? | 1973 |
| 9 β | Manas National Park is in which state? | Assam |
| 10 β | Valley of Flowers is in which state? | Uttarakhand |
| 11 π‘ | Namdapha National Park is known for? | Snow Leopard (Arunachal Pradesh) |
| 12 π₯ | Which NP is home to the Barasingha (swamp deer)? | Kanha National Park (MP) |
| 13 β | Periyar National Park (Kerala) is famous for? | Elephants |
| 14 π‘ | Project Elephant was launched in? | 1992 |
| 15 β | Ranthambore National Park is in which state? | Rajasthan |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Who invented the telephone? | Alexander Graham Bell |
| 2 π₯ | Who invented the electric bulb? | Thomas Edison |
| 3 π₯ | Who invented the radio? | Guglielmo Marconi |
| 4 π₯ | Who invented the airplane? | Wright Brothers (Orville & Wilbur) |
| 5 π₯ | Who invented penicillin? | Alexander Fleming (1928) |
| 6 π₯ | Who invented the printing press? | Johannes Gutenberg (1440) |
| 7 π₯ | Who discovered X-rays? | Wilhelm RΓΆntgen (1895) |
| 8 π₯ | Who invented the World Wide Web? | Tim Berners-Lee (1991) |
| 9 β | Who discovered vaccination? | Edward Jenner |
| 10 β | Who proposed the theory of relativity? | Albert Einstein |
| 11 β | Who discovered the structure of DNA? | Watson & Crick (1953) |
| 12 π‘ | Who invented dynamite? | Alfred Nobel |
| 13 π₯ | India invented which game? | Chess (Chaturanga) |
| 14 π₯ | Who is credited with the concept of zero? | Brahmagupta / Aryabhata |
| 15 β | Who invented the steam engine? | James Watt (1769) |
| 16 β | Who invented the telescope? | Galileo Galilei |
| 17 π‘ | Who invented the microscope? | Antonie van Leeuwenhoek |
| 18 β | Who invented the diesel engine? | Rudolf Diesel |
| 19 π‘ | Who is called the "Father of Computer"? | Charles Babbage |
| 20 π₯ | Television was invented by? | John Logie Baird |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Largest country by area in the world? | Russia |
| 2 π₯ | Smallest country in the world? | Vatican City |
| 3 π₯ | Tallest mountain in the world? | Mount Everest (8,848.86 m) |
| 4 π₯ | Largest ocean in the world? | Pacific Ocean |
| 5 π₯ | Deepest point in the world? | Mariana Trench (Pacific Ocean) |
| 6 π₯ | Longest river in the world? | Nile (Africa) |
| 7 π₯ | Largest desert in the world (hot)? | Sahara |
| 8 π‘ | Largest desert overall (including cold)? | Antarctica |
| 9 π₯ | Largest lake in the world? | Caspian Sea |
| 10 π₯ | Tallest building in the world? | Burj Khalifa, Dubai |
| 11 π₯ | Longest coastline in the world? | Canada |
| 12 π₯ | Largest river island in India? | Majuli (Assam) |
| 13 π₯ | Highest dam in India? | Tehri Dam (Uttarakhand) |
| 14 β | Largest stadium in the world (cricket)? | Narendra Modi Stadium, Ahmedabad |
| 15 π₯ | Largest saltwater lake in India? | Chilika Lake (Odisha) |
| 16 β | Highest waterfall in India? | Kunchikal Falls (Karnataka) |
| 17 β | Largest mosque in India? | Jama Masjid, Delhi |
| 18 π‘ | First metro rail in India (city)? | Kolkata (1984) |
| 19 β | Largest freshwater lake in India? | Wular Lake (J&K) |
| 20 π₯ | Smallest continent? | Australia |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Which country has won the most Cricket World Cups? | Australia (6 times) |
| 2 π₯ | Who won India's first individual Olympic gold? | Abhinav Bindra (2008, Shooting) |
| 3 π₯ | Where were the 2024 Summer Olympics held? | Paris, France |
| 4 π₯ | FIFA World Cup 2022 winner? | Argentina |
| 5 β | ICC World Cup 2023 winner? | Australia |
| 6 π₯ | India won Cricket World Cup in which years? | 1983, 2011, 2024 (T20) |
| 7 π₯ | National sport of India? | Field Hockey (unofficially) |
| 8 π₯ | Largest cricket stadium in the world? | Narendra Modi Stadium, Ahmedabad |
| 9 β | Who is called "Flying Sikh" of India? | Milkha Singh |
| 10 π₯ | Who is called "Missile Man of Indian Hockey"? | Dhanraj Pillay |
| 11 β | Wimbledon is associated with which sport? | Tennis (Lawn Tennis) |
| 12 β | "Thomas Cup" is associated with? | Badminton |
| 13 π‘ | "Davis Cup" is associated with? | Tennis |
| 14 π₯ | How many players are there in a cricket team? | 11 |
| 15 π₯ | How many players are in a basketball team? | 5 |
| 16 β | Olympic motto? | Faster, Higher, Stronger (Citius, Altius, Fortius) |
| 17 π‘ | Where are the 2028 Summer Olympics to be held? | Los Angeles, USA |
| 18 β | "Santosh Trophy" is associated with? | Football |
| 19 β | Who won the most Grand Slam titles (Men's Tennis)? | Novak Djokovic (24) |
| 20 π₯ | Durand Cup is related to which sport? | Football |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Who wrote "Wings of Fire"? | Dr. A.P.J. Abdul Kalam |
| 2 π₯ | Who wrote "Discovery of India"? | Jawaharlal Nehru |
| 3 π₯ | Who wrote "Gitanjali"? | Rabindranath Tagore |
| 4 π₯ | Who wrote "My Experiments with Truth"? | Mahatma Gandhi |
| 5 π₯ | "The God of Small Things" was written by? | Arundhati Roy |
| 6 π₯ | "Midnight's Children" was written by? | Salman Rushdie |
| 7 β | "The White Tiger" (Booker Prize) was written by? | Aravind Adiga |
| 8 β | "Godan" was written by? | Munshi Premchand |
| 9 β | "Train to Pakistan" was written by? | Khushwant Singh |
| 10 π₯ | "Harry Potter" series was written by? | J.K. Rowling |
| 11 β | "The Alchemist" was written by? | Paulo Coelho |
| 12 π‘ | "Ignited Minds" was written by? | Dr. A.P.J. Abdul Kalam |
| 13 β | "India Wins Freedom" was written by? | Maulana Abul Kalam Azad |
| 14 π‘ | "Gora" was written by? | Rabindranath Tagore |
| 15 β | "1984" was written by? | George Orwell |
| 16 π₯ | "A Suitable Boy" was written by? | Vikram Seth |
| 17 π‘ | "The Old Man and the Sea" was written by? | Ernest Hemingway |
| 18 β | "2 States" was written by? | Chetan Bhagat |
| 19 β | "Anna Karenina" was written by? | Leo Tolstoy |
| 20 π‘ | "Arthashastra" was written by? | Kautilya (Chanakya) |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | What is India's highest civilian award? | Bharat Ratna |
| 2 π₯ | What is India's highest military award? | Param Vir Chakra |
| 3 π₯ | What is India's highest peacetime gallantry award? | Ashoka Chakra |
| 4 π₯ | Who were the first recipients of Bharat Ratna (1954)? | C. Rajagopalachari, S. Radhakrishnan, C.V. Raman |
| 5 π₯ | What is the highest award given to sportspersons? | Major Dhyan Chand Khel Ratna Award |
| 6 β | Which award is given to outstanding sports coaches? | Dronacharya Award |
| 7 β | Which award is for lifetime contribution to sports? | Dhyan Chand Award |
| 8 β | Padma awards are announced on which day every year? | Republic Day (26 January) |
| 9 π₯ | Which actor/personality was recently awarded Bharat Ratna? | Check latest (e.g., LK Advani, Karpoori Thakur β 2024) |
| 10 π‘ | Which Indian cricketer has received the Bharat Ratna? | Sachin Tendulkar (2014) |
| 11 β | Arjuna Award is given for? | Outstanding performance in sports |
| 12 π₯ | Which film award is India's national film award? | National Film Award (Dadasaheb Phalke = Lifetime) |
| 13 π‘ | Dadasaheb Phalke Award is given for? | Lifetime contribution to Indian cinema |
| 14 β | Sangeet Natak Akademi Award is given for? | Outstanding contribution to Performing Arts |
| 15 π₯ | Sahitya Akademi Award is given for? | Outstanding contribution to Indian Literature |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Who was the first Indian to win the Nobel Prize? | Rabindranath Tagore (Literature, 1913) |
| 2 π₯ | Who won the Nobel Peace Prize from India? | Mother Teresa (1979), Kailash Satyarthi (2014) |
| 3 π₯ | Nobel Prize in Economics was won by which Indian? | Amartya Sen (1998) |
| 4 π₯ | C.V. Raman won Nobel Prize in which category? | Physics (1930) β Raman Effect |
| 5 β | Booker Prize is awarded for? | Best novel in English (Commonwealth) |
| 6 β | Which Indian won the Booker Prize for "The God of Small Things"? | Arundhati Roy (1997) |
| 7 π₯ | Oscar Award is given by which organisation? | Academy of Motion Picture Arts and Sciences (USA) |
| 8 π₯ | Grammy Award is given for? | Outstanding music (USA) |
| 9 β | Pulitzer Prize is awarded for? | Journalism, Literature, Music (USA) |
| 10 π‘ | Palme d'Or is awarded at which festival? | Cannes Film Festival |
| 11 β | Ramon Magsaysay Award is often called? | Asia's Nobel Prize |
| 12 π‘ | Nobel Prizes are awarded on which date? | 10 December (death anniversary of Alfred Nobel) |
| 13 β | Man Booker International Prize is for? | Translated literature |
| 14 π₯ | Which Indian won Nobel Prize in Chemistry? | Venkataraman Ramakrishnan (2009) |
| 15 π‘ | Fields Medal is given in which field? | Mathematics (highest honour, every 4 years) |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Which classical dance form belongs to Tamil Nadu? | Bharatnatyam |
| 2 π₯ | Kathak is the classical dance of which state? | Uttar Pradesh / Rajasthan |
| 3 π₯ | Kathakali is the classical dance of which state? | Kerala |
| 4 π₯ | Odissi belongs to which state? | Odisha |
| 5 π₯ | Bihu dance belongs to which state? | Assam |
| 6 π₯ | Garba is the folk dance of which state? | Gujarat |
| 7 π₯ | Bhangra is the folk dance of which state? | Punjab |
| 8 β | Ghoomar is the folk dance of which state? | Rajasthan |
| 9 β | Manipuri is the classical dance of which state? | Manipur |
| 10 β | Sattriya is the classical dance of which state? | Assam |
| 11 π‘ | Kuchipudi belongs to which state? | Andhra Pradesh |
| 12 π₯ | Mohiniyattam belongs to which state? | Kerala |
| 13 β | Hindustani classical music is from which region? | North India |
| 14 β | Carnatic music is from which region? | South India |
| 15 π₯ | Onam is the harvest festival of which state? | Kerala |
| 16 π₯ | Pongal is the festival of which state? | Tamil Nadu |
| 17 β | Durga Puja is the major festival of which state? | West Bengal |
| 18 π‘ | Chhau dance is associated with? | West Bengal / Jharkhand / Odisha |
| 19 β | Lavani is the folk dance of which state? | Maharashtra |
| 20 π₯ | Hemis festival is celebrated in? | Ladakh (Buddhist festival) |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | When was the Indian Constitution adopted? | 26 November 1949 |
| 2 π₯ | When did the Indian Constitution come into effect? | 26 January 1950 |
| 3 π₯ | Who is called the "Father of the Indian Constitution"? | Dr. B.R. Ambedkar |
| 4 π₯ | How many Fundamental Rights are in the Constitution? | 6 |
| 5 π₯ | Article 21 is related to? | Right to Life and Personal Liberty |
| 6 π₯ | Article 32 is related to? | Right to Constitutional Remedies (Heart of Constitution) |
| 7 π₯ | Article 14 is related to? | Right to Equality |
| 8 π₯ | Article 19 is related to? | Freedom of Speech and Expression |
| 9 β | From which country did India borrow the concept of Fundamental Rights? | USA |
| 10 β | From which country did India borrow Directive Principles? | Ireland |
| 11 β | From which country did India borrow the Parliamentary system? | UK |
| 12 π‘ | How many Schedules does the Indian Constitution have? | 12 |
| 13 π₯ | Article 356 is related to? | President's Rule in a State |
| 14 π₯ | Article 370 (abrogated 2019) was related to? | Special status to J&K |
| 15 β | Who appoints the Prime Minister of India? | President of India |
| 16 π‘ | How many members are in Rajya Sabha (max)? | 250 (238 elected + 12 nominated) |
| 17 β | How many members are in Lok Sabha (max)? | 552 |
| 18 π₯ | What is the term of Rajya Sabha members? | 6 years |
| 19 π‘ | Rajya Sabha cannot be dissolved β True or False? | True (it is a permanent body) |
| 20 π₯ | The Emergency provisions in India are inspired from? | Germany (Weimar Constitution) |
| 21 β | Article 51A deals with? | Fundamental Duties (added by 42nd Amendment) |
| 22 π‘ | Preamble was amended in which year? | 1976 (42nd Amendment β added Socialist, Secular, Integrity) |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Chandrayaan-3 successfully landed on the Moon in which year? | 2023 |
| 2 π₯ | Chandrayaan-3 landed on which part of the Moon? | South Pole |
| 3 π₯ | Which was India's first Mars mission? | Mangalyaan (MOM, 2014) |
| 4 π₯ | Which was India's first satellite? | Aryabhata (1975) |
| 5 π₯ | ISRO stands for? | Indian Space Research Organisation |
| 6 β | Aditya-L1 mission (2023) was launched to study? | Sun / Solar corona |
| 7 π₯ | What is the speed of light? | 3 Γ 10βΈ m/s |
| 8 π₯ | What is the normal temperature of the human body? | 37Β°C / 98.6Β°F |
| 9 β | Which is the hardest natural substance? | Diamond |
| 10 β | What is the chemical formula of water? | HβO |
| 11 π₯ | Which gas is most abundant in Earth's atmosphere? | Nitrogen (78%) |
| 12 π₯ | Which is the largest gland in the human body? | Liver |
| 13 β | Which is the largest organ in the human body? | Skin |
| 14 β | Smallest bone in the human body? | Stapes (in the ear) |
| 15 π₯ | Longest bone in the human body? | Femur (thigh bone) |
| 16 π‘ | DNA stands for? | Deoxyribonucleic Acid |
| 17 β | Father of Indian Space Programme? | Dr. Vikram Sarabhai |
| 18 π‘ | Which planet is called the "Red Planet"? | Mars |
| 19 β | Newton's first law is also called? | Law of Inertia |
| 20 π₯ | Chandrayaan-1 (2008) made which major discovery? | Presence of water (ice) on Moon |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Which is the longest river in India? | Ganga |
| 2 π₯ | Which river originates from Gangotri Glacier? | Ganga |
| 3 π₯ | Brahmaputra River originates from? | Tibet (Angsi Glacier) |
| 4 π₯ | Narmada River flows into which sea? | Arabian Sea |
| 5 π₯ | Which is the oldest mountain range in India? | Aravalli |
| 6 π₯ | Which is the largest desert in India? | Thar Desert (Rajasthan) |
| 7 β | Nathu La Pass connects India to? | China (in Sikkim) |
| 8 β | Zoji La Pass connects? | Srinagar to Leh |
| 9 π₯ | Which river is called the "Sorrow of Bihar"? | Kosi River |
| 10 π₯ | Godavari River originates from? | Nashik, Maharashtra |
| 11 β | Cauvery River originates from? | Coorg, Karnataka |
| 12 π‘ | Which is the highest peak entirely within India? | Kangchenjunga (Sikkim) |
| 13 π₯ | Deccan Plateau is made up of? | Volcanic basalt (Trap) |
| 14 β | Western Ghats runs along which coast? | West Coast of India |
| 15 π‘ | Sundarbans delta is formed by which rivers? | Ganga & Brahmaputra |
| 16 β | India shares its longest border with which country? | Bangladesh |
| 17 π₯ | India's total coastline length (approx)? | 7,516 km |
| 18 π‘ | Which state shares borders with maximum states? | Uttar Pradesh (8 states) |
| 19 β | Chilika Lake is in which state? | Odisha |
| 20 π₯ | Which is the largest river island in the world? | Majuli (Assam) |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | The Indian National Congress was founded in which year? | 1885 |
| 2 π₯ | Who founded the Indian National Congress? | A.O. Hume |
| 3 π₯ | Dandi March was conducted in which year? | 1930 |
| 4 π₯ | Quit India Movement was launched in which year? | 1942 |
| 5 π₯ | Jallianwala Bagh massacre happened in which year? | 1919 |
| 6 π₯ | Who was the commander responsible for Jallianwala Bagh? | General Reginald Dyer |
| 7 π₯ | First War of Independence (Sepoy Mutiny) was in? | 1857 |
| 8 π₯ | When did India gain independence? | 15 August 1947 |
| 9 β | Battle of Plassey was fought in? | 1757 (British vs Nawab Siraj-ud-Daulah) |
| 10 β | Who gave the slogan "Do or Die"? | Mahatma Gandhi (Quit India Movement) |
| 11 π₯ | Who gave the slogan "Jai Hind"? | Subhas Chandra Bose |
| 12 π₯ | Who gave the slogan "Swaraj is my birthright"? | Bal Gangadhar Tilak |
| 13 β | Doctrine of Lapse was introduced by? | Lord Dalhousie |
| 14 β | Partition of Bengal (1905) was done by? | Lord Curzon |
| 15 π‘ | Simon Commission came to India in? | 1928 |
| 16 π₯ | Chauri Chaura incident (1922) led to? | Withdrawal of Non-Cooperation Movement |
| 17 β | Who founded the Aligarh Muslim University? | Sir Syed Ahmad Khan |
| 18 π‘ | Who was the last Mughal Emperor? | Bahadur Shah Zafar II |
| 19 π₯ | Ashoka's Dhamma was mainly based on? | Non-violence, tolerance, compassion |
| 20 β | The Indus Valley Civilization's main cities? | Harappa and Mohenjo-daro |
π‘ For Quant: Try to solve yourself first. The answer key follows each set.
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Which is the smallest prime number? | 2 |
| 2 π₯ | Which is the only even prime number? | 2 |
| 3 π₯ | What is the HCF of 12 and 18? | 6 |
| 4 π₯ | What is the LCM of 4, 6, and 8? | 24 |
| 5 π₯ | Is 1 a prime number? | No |
| 6 β | Which is divisible by 11: 121, 123, 131, 132? | 121 |
| 7 π₯ | Sum of first 10 natural numbers? | 55 |
| 8 β | What is the product of HCF and LCM of 8 and 12? | 96 (= 8 Γ 12) |
| 9 π‘ | What remainder does 100 leave when divided by 7? | 2 |
| 10 π₯ | How many prime numbers are between 1 and 20? | 8 (2,3,5,7,11,13,17,19) |
| 11 β | What is β144? | 12 |
| 12 β | If a number is divisible by both 4 and 9, it is divisible by? | 36 |
| 13 π‘ | What is the unit digit of 7β΄? | 1 |
| 14 π₯ | What is 2βΈ? | 256 |
| 15 β | Which of these is NOT a composite number: 4, 6, 9, 11? | 11 (it's prime) |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Average of first 10 natural numbers? | 5.5 |
| 2 π₯ | Average of first 10 even numbers? | 11 |
| 3 π₯ | Average of first 10 odd numbers? | 10 |
| 4 π₯ | A class of 30 has an average score of 60. A new student joins with a score of 90. New average? | (30Γ60+90)/31 = 1890/31 β 60.97 |
| 5 β | A batsman scored 80 runs in his 10th inning and his average increased by 4. What was his average before? | 80 - (4Γ10) = 80 - 40 = 40 |
| 6 β | The average of 5 consecutive numbers is 18. The largest number is? | 20 |
| 7 π‘ | Average of 4 numbers is 25. One number is excluded and average becomes 20. The excluded number is? | (4Γ25) - (3Γ20) = 100 - 60 = 40 |
| 8 π₯ | If average of A and B is 40, average of B and C is 50, and average of A and C is 60, then average of A, B, C = ? | (40+50+60)/2 Γ· 3 = 150/3 = 50 |
| 9 β | Average speed if first half covered at 60 km/h and second half at 40 km/h? | 2Γ60Γ40/(60+40) = 48 km/h |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | What is 25% of 200? | 50 |
| 2 π₯ | What % is 40 of 200? | 20% |
| 3 π₯ | A's salary is 20% more than B's. B's salary is what % less than A's? | 20/120 Γ 100 = 16.67% |
| 4 π₯ | Price increased by 25%. By what % should consumption decrease to keep expenditure same? | 25/125 Γ 100 = 20% |
| 5 π₯ | If 40% of X = 60% of Y, find X:Y? | X/Y = 60/40 = 3:2 |
| 6 β | Price of an item is increased by 10% and then decreased by 10%. Net change? | -1% (loss of 1%) |
| 7 β | If 20% of (A+B) = 30% of (A-B), find A:B? | 5:1 |
| 8 π‘ | Population of a town is 10,000. It increases by 10% in year 1 and decreases by 10% in year 2. Final population? | 10000 Γ 1.1 Γ 0.9 = 9900 |
| 9 π₯ | A student scored 180 out of 300. Percentage scored? | 60% |
| 10 β | 60% of students in a class are girls. If total students = 40, how many boys? | 40% of 40 = 16 boys |
| 11 π‘ | If 15% of X = 20% of Y = 12% of Z, find X:Y:Z? | 4:3:5 |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Article bought for βΉ500, sold for βΉ600. Profit %? | 20% |
| 2 π₯ | SP = βΉ720, Profit = 20%. Find CP? | CP = 720 Γ 100/120 = βΉ600 |
| 3 π₯ | CP = βΉ400, Loss = 10%. Find SP? | SP = 400 Γ 90/100 = βΉ360 |
| 4 π₯ | Two articles sold at βΉ99 each β one at 10% profit and other at 10% loss. Net result? | Loss of 1% (always loss when same SP and same %) |
| 5 β | A trader marks price 25% above CP and gives 20% discount. Profit %? | SP = CP Γ 1.25 Γ 0.8 = CP Γ 1.0 β No profit, no loss |
| 6 β | Marked price = βΉ1200, Discount = 15%. Find SP? | SP = 1200 Γ 85/100 = βΉ1020 |
| 7 π‘ | A dishonest merchant uses a 900g weight instead of 1kg. Profit%? | 100/900 Γ 100 β 11.11% |
| 8 π₯ | An article sold at 15% profit gives βΉ45 more than sold at 10% profit. Find CP? | 5% of CP = 45 β CP = βΉ900 |
| 9 β | If CP of 12 items = SP of 9 items. Profit %? | (12-9)/9 Γ 100 = 33.33% |
| 10 π‘ | SP = βΉ840 results in 40% profit. At what price should it be sold for 10% loss? | CP = 840/1.4 = 600; 10% loss β 600 Γ 0.9 = βΉ540 |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | SI on βΉ2000 at 5% per annum for 3 years? | SI = 2000Γ5Γ3/100 = βΉ300 |
| 2 π₯ | In how many years will βΉ1000 double at 10% SI? | 10 years |
| 3 π₯ | CI on βΉ1000 at 10% for 2 years (annual compounding)? | CI = 1000(1.1)Β² - 1000 = βΉ210 |
| 4 π₯ | Difference between CI and SI on βΉ5000 at 10% for 2 years? | Diff = P(r/100)Β² = 5000Γ(0.1)Β² = βΉ50 |
| 5 β | CI on βΉ800 at 5% for 2 years? | 800Γ(1.05)Β²-800 = 882-800 = βΉ82 |
| 6 β | Amount on βΉ4000 at 10% CI for 2 years? | 4000 Γ 1.21 = βΉ4840 |
| 7 π‘ | At what rate of SI will a sum double itself in 8 years? | R = 100/T = 100/8 = 12.5% |
| 8 π₯ | SI for 4 years is βΉ960 at 8%. Find principal? | P = 960Γ100/(8Γ4) = βΉ3000 |
| 9 β | Sum amounts to βΉ1210 in 2 years at 10% CI. Find sum? | P = 1210/1.21 = βΉ1000 |
| 10 π‘ | CI compounded half-yearly: βΉ10000 at 10% for 1 year? | 10000 Γ (1.05)Β² = βΉ10,250 |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | A can do a job in 10 days, B in 15 days. Together in? | (10Γ15)/(10+15) = 6 days |
| 2 π₯ | A and B together do a job in 6 days. A alone does it in 10 days. B alone in? | B = (6Γ10)/(10-6) = 15 days |
| 3 π₯ | Pipe A fills tank in 6 hrs, B drains in 8 hrs. Both open β fill in? | Net rate = 1/6 - 1/8 = 1/24; Time = 24 hours |
| 4 β | 15 men complete a work in 20 days. How many men for 10 days? | 15Γ20 = nΓ10 β n = 30 men |
| 5 β | A can do work in 12 days. After 4 days B joins. They finish in 4 more days. B alone in? | A's 8 days work = 8/12 = 2/3; B does 1/3 in 4 days β B = 12 days |
| 6 π‘ | A works twice as fast as B. Together they finish in 12 days. B alone in? | A = 2x, B = x β 3x rate β 1/B = x β B = 36 days |
| 7 π₯ | Tap fills tank in 3 hours. There is a hole that empties it in 6 hours. How long to fill? | Net = 1/3 - 1/6 = 1/6; Time = 6 hours |
| 8 β | If 6 men and 8 women finish a job in 10 days, and 26 men and 48 women finish it in 2 days, in how many days will 15 men and 20 women finish? | 4 days |
| 9 π‘ | A, B, C together do work in 6 days. A and B in 10 days, B and C in 15 days. C alone in? | C alone = 30 days |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Ratio of A:B = 3:5, B:C = 2:3. Find A:B:C? | A:B:C = 6:10:15 = 6:10:15 |
| 2 π₯ | Father is 3 times son's age. After 12 years, father is twice. Find present ages? | Son = 12, Father = 36 |
| 3 π₯ | Ages of A & B are in ratio 3:5. After 4 years ratio = 2:3. Find ages? | A = 12, B = 20 |
| 4 π₯ | Sum of ages of A and B is 45. 5 years ago ratio was 7:8. Find present ages? | A = 21, B = 24 |
| 5 β | If 4 years ago A was twice as old as B, and the sum of current ages is 47, find A's age? | A = 32, B = 15 |
| 6 β | A:B = 2:3, B:C = 4:5. If C = 60, find A? | A = 32 |
| 7 π‘ | Ratio of boys to girls is 4:3. If 15 girls join, the ratio becomes 1:1. Find total students? | Boys = 60, Girls = 45; After 15 girls β 60:60. Total = 120 |
| 8 π₯ | Divide βΉ1260 in ratio 1:2:3? | βΉ210 : βΉ420 : βΉ630 |
| 9 β | Present ages of A and B are in ratio 5:4. After 10 years ratio = 7:6. Find present ages? | A = 25, B = 20 |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Convert 72 km/h to m/s? | 72 Γ 5/18 = 20 m/s |
| 2 π₯ | A train 200m long passes a pole in 10 sec. Speed in km/h? | 200/10 = 20 m/s = 20Γ18/5 = 72 km/h |
| 3 π₯ | Train 150m long passes a platform 250m long at 45 km/h. Time taken? | (150+250) / (45Γ5/18) = 400/12.5 = 32 sec |
| 4 π₯ | Two trains (200m & 300m) approach each other at 40 & 60 km/h. Time to cross? | Relative speed = 100 km/h = 250/9 m/s; Distance = 500m; Time = 18 sec |
| 5 π₯ | Boat's speed in still water = 10 km/h, stream = 2 km/h. Upstream speed? | 8 km/h |
| 6 π₯ | Boat downstream = 15 km/h, upstream = 9 km/h. Speed of stream? | (15-9)/2 = 3 km/h |
| 7 β | A person covers 600 km at 50 km/h and 400 km at 80 km/h. Average speed? | Total distance/Total time = 1000/(12+5) = 1000/17 β 58.8 km/h |
| 8 β | Two persons walk towards each other, 18 km apart. Speeds: 4 km/h and 5 km/h. Meet after? | 18/(4+5) = 2 hours |
| 9 π‘ | A thief is 100m ahead of a police. Police runs at 11 km/h, thief at 10 km/h. Time to catch? | Relative speed = 1 km/h = 5/18 m/s; Time = 100/(5/18) = 360 seconds = 6 min |
| 10 π‘ | Train crosses a bridge of 500m in 40 sec at 63 km/h. Find train length? | Speed = 63Γ5/18 = 17.5 m/s; Distance = 17.5Γ40 = 700m; Train = 700-500 = 200m |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | If x + 1/x = 3, find xΒ² + 1/xΒ²? | (x+1/x)Β² - 2 = 9-2 = 7 |
| 2 π₯ | If x - 1/x = 4, find xΒ² + 1/xΒ²? | (x-1/x)Β² + 2 = 16+2 = 18 |
| 3 π₯ | (a+b)Β² = 100, ab = 20. Find aΒ² + bΒ²? | 100 - 2Γ20 = 60 |
| 4 π₯ | (a-b) = 3, ab = 10. Find aΒ² + bΒ²? | (a-b)Β² + 2ab = 9+20 = 29 |
| 5 β | If xΒ² - 5x + 6 = 0, find values of x? | x = 2 or 3 |
| 6 β | If 2x + 3y = 12 and x - y = 1, find x and y? | x = 3, y = 2 |
| 7 π‘ | If aΒ³ + bΒ³ = 35 and a + b = 5, find ab? | aΒ³+bΒ³ = (a+b)(aΒ²-ab+bΒ²) β 35 = 5Γ(25-3ab) β ab = 4 |
| 8 π₯ | Simplify: (a+b)Β² - (a-b)Β² = ? | 4ab |
| 9 β | Find value of (103)Β² using identity? | (100+3)Β² = 10000 + 600 + 9 = 10609 |
| 10 β | If 2x = 3y = 6z, find 1/x + 1/y - 1/z? | 0 |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Area of a square with side 7cm? | 49 cmΒ² |
| 2 π₯ | Perimeter of rectangle 12cm Γ 8cm? | 2(12+8) = 40 cm |
| 3 π₯ | Area of circle with radius 7cm? (Ο=22/7) | 22/7 Γ 49 = 154 cmΒ² |
| 4 π₯ | Volume of cube with side 5cm? | 125 cmΒ³ |
| 5 π₯ | Volume of cylinder: r=7, h=10? | Ο Γ 49 Γ 10 = 1540 cmΒ³ |
| 6 π₯ | Area of equilateral triangle with side 6cm? | (β3/4) Γ 36 = 9β3 β 15.6 cmΒ² |
| 7 β | Diagonal of a square with area 144 cmΒ²? | Side = 12; Diagonal = 12β2 β 16.97 cm |
| 8 β | If radius of a circle doubles, area becomes? | 4 times |
| 9 π‘ | Volume of cone: r=7cm, h=9cm? | (1/3)Γ(22/7)Γ49Γ9 = 462 cmΒ³ |
| 10 π₯ | Surface area of sphere with r=7cm? | 4ΟrΒ² = 4Γ22/7Γ49 = 616 cmΒ² |
| 11 π‘ | A room 10mΓ8mΓ5m. Volume? | 400 mΒ³ |
| 12 β | If all sides of a rectangle are doubled, area becomes? | 4 times |
| 13 π₯ | Circumference of circle with diameter 14cm? | ΟΓ14 = 22/7Γ14 = 44 cm |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Sum of interior angles of a triangle? | 180Β° |
| 2 π₯ | Sum of interior angles of a quadrilateral? | 360Β° |
| 3 π₯ | In a right triangle: legs 3 and 4. Hypotenuse? | 5 (3-4-5 triplet) |
| 4 π₯ | Angle in a semicircle is? | 90Β° |
| 5 π₯ | Angle at centre = _____ Γ angle at circumference? | 2 times |
| 6 β | Two parallel lines cut by a transversal β alternate interior angles are? | Equal |
| 7 β | Co-interior (same-side interior) angles are? | Supplementary (sum = 180Β°) |
| 8 β | Triangle with sides 5, 12, 13 β type? | Right-angled (5Β²+12Β²=13Β²) |
| 9 π‘ | If two sides of a triangle are 7 and 10, what is the range of the third side? | 3 < x < 17 |
| 10 π₯ | Exterior angle of a triangle = sum of? | Two non-adjacent interior angles |
| 11 β | Number of diagonals in a hexagon? | n(n-3)/2 = 6Γ3/2 = 9 |
| 12 π‘ | Sum of interior angles of a hexagon? | (6-2)Γ180 = 720Β° |
| 13 π₯ | Tangent to a circle is _______ to the radius at the point of contact? | Perpendicular |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Value of 5!? | 120 |
| 2 π₯ | In how many ways can 4 books be arranged on a shelf? | 4! = 24 |
| 3 π₯ | How many ways to select 3 from 7 people? | C(7,3) = 35 |
| 4 π₯ | In how many ways can 5 people sit in a circle? | (5-1)! = 24 |
| 5 β | How many 3-letter words from letters of MATH (no repetition)? | P(4,3) = 24 |
| 6 β | A committee of 2 men & 3 women from 5 men and 6 women? | C(5,2)ΓC(6,3) = 10Γ20 = 200 |
| 7 π‘ | How many ways to arrange "MISSISSIPPI"? | 11!/(4!Γ4!Γ2!) = 34650 |
| 8 π₯ | How many ways can 3 prizes be given to 5 students (one each)? | P(5,3) = 60 |
| 9 β | Value of C(10,3)? | 10Γ9Γ8/(3Γ2Γ1) = 120 |
| 10 π‘ | Number of handshakes among 10 people? | C(10,2) = 45 |
| 11 π₯ | How many 3-digit numbers can be formed using 1,2,3,4,5 without repetition? | P(5,3) = 60 |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | P(getting head when tossing a coin)? | 1/2 |
| 2 π₯ | P(getting 6 when rolling a die)? | 1/6 |
| 3 π₯ | P(sum = 7 when two dice are rolled)? | 6/36 = 1/6 |
| 4 π₯ | P(drawing a king from a deck of 52)? | 4/52 = 1/13 |
| 5 π₯ | P(drawing a red card from a deck)? | 26/52 = 1/2 |
| 6 β | P(getting at least one head when 2 coins tossed)? | 1 - P(no head) = 1 - 1/4 = 3/4 |
| 7 β | P(getting exactly 2 heads when 3 coins tossed)? | C(3,2)/8 = 3/8 |
| 8 π‘ | P(sum > 10 when two dice rolled)? | Favourable: (5,6),(6,5),(6,6) = 3/36 = 1/12 |
| 9 π₯ | P(drawing a face card from deck)? | 12/52 = 3/13 |
| 10 β | A bag has 3 red, 4 blue, 2 green balls. P(drawing red)? | 3/9 = 1/3 |
| 11 π‘ | Two cards drawn. P(both aces)? | C(4,2)/C(52,2) = 6/1326 = 1/221 |
| 12 π₯ | P(drawing an ace or a king)? | (4+4)/52 = 8/52 = 2/13 |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Mean of 5, 10, 15, 20, 25? | 75/5 = 15 |
| 2 π₯ | Median of 3, 7, 9, 12, 18? | 9 (middle value) |
| 3 π₯ | Mode of 2, 3, 3, 4, 4, 4, 5? | 4 (appears most) |
| 4 π₯ | Median of 4, 6, 8, 10 (even count)? | (6+8)/2 = 7 |
| 5 β | Range of 5, 8, 2, 14, 11? | 14 - 2 = 12 |
| 6 β | If mean of 6 numbers is 10 and one number (16) is removed, new mean? | New mean = (60-16)/5 = 44/5 = 8.8 |
| 7 π‘ | Mode = 3 Median - 2 Mean. If Mean = 10, Median = 12, Mode = ? | 3Γ12 - 2Γ10 = 36-20 = 16 |
| 8 π₯ | Mean of first 5 multiples of 3? | (3+6+9+12+15)/5 = 45/5 = 9 |
| 9 β | Standard deviation is the _____ of variance? | Square root |
| 10 π‘ | Mean of 10 numbers is 15. Each number increased by 5. New mean? | 20 |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Angle between hour and minute hand at 3:00? | 90Β° |
| 2 π₯ | Angle between hands at 6:00? | 180Β° |
| 3 π₯ | Angle between hands at 12:00? | 0Β° |
| 4 π₯ | Angle between hands at 3:30? | |
| 5 β | Angle between hands at 4:20? | |
| 6 π₯ | How many times do clock hands coincide in 12 hours? | 11 times |
| 7 β | If Jan 1 is Monday, what day is Feb 1? | 31 days β 31 mod 7 = 3 β Thursday |
| 8 π₯ | Is 2100 a leap year? | No (century year not divisible by 400) |
| 9 β | Is 2000 a leap year? | Yes (divisible by 400) |
| 10 π‘ | If today is Wednesday, what day will it be after 100 days? | 100 mod 7 = 2; Wed + 2 = Friday |
| 11 π₯ | A clock gains 5 minutes per day. At what time will it show 10:00 if it shows 10:00 now? | After 12Γ24Γ60/5 = 3456 minutes = 2.4 days |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | In a class, 40 like cricket, 30 like football, 10 like both. How many like at least one? | 40+30-10 = 60 |
| 2 π₯ | n(A) = 30, n(B) = 25, n(AβͺB) = 45. Find n(Aβ©B)? | 30+25-45 = 10 |
| 3 β | In a group of 60: 30 read English, 25 read Hindi, 15 read both. Read neither? | 60 - (30+25-15) = 60-40 = 20 |
| 4 β | n(A only) = ? | n(A) - n(Aβ©B) |
| 5 π‘ | In a survey of 100 people: 60 like Tea, 50 like Coffee, 30 like both. Like neither? | 100-(60+50-30) = 20 |
| 6 π₯ | A = {1,2,3,4}, B = {3,4,5,6}. Find Aβ©B? | {3,4} |
| 7 β | A = {1,2,3}, B = {2,3,4}. AβͺB = ? | {1,2,3,4} |
| 8 π‘ | Three sets: n(A)=20, n(B)=18, n(C)=15, n(Aβ©B)=9, n(Bβ©C)=7, n(Aβ©C)=5, n(Aβ©Bβ©C)=3. n(AβͺBβͺC)=? | 20+18+15-9-7-5+3 = 35 |
| # | Question | Answer |
|---|---|---|
| 1 π₯ | Mix milk at βΉ25/L and βΉ35/L to get βΉ28/L. Ratio? | (35-28):(28-25) = 7:3 |
| 2 π₯ | 40L mixture of milk & water in ratio 3:1. Water to be added for ratio 1:1? | Milk = 30L, Water = 10L; Add 20L water β 20L |
| 3 β | A 60L solution has 30% acid. How much water to add to make it 20% acid? | Acid = 18L; 18 = 20% of (60+x) β x = 30L |
| 4 β | Container with 50L milk. 10L removed & replaced with water. Repeated 3 times. Milk remaining? | 50Γ(40/50)Β³ = 50Γ(4/5)Β³ = 50Γ64/125 = 25.6L |
| 5 π‘ | Two types of rice: βΉ40/kg and βΉ60/kg mixed in ratio 2:3. Cost of mixture per kg? | (2Γ40 + 3Γ60)/5 = (80+180)/5 = βΉ52/kg |
| 6 π₯ | A milkman mixes water (cost 0) with milk at βΉ30/L to sell at βΉ25/L with 25% profit. Ratio of water:milk? | CP to get 25% profit on βΉ25 β CP = 20; Ratio = (30-20):(20-0) = 1:2 β water:milk = 1:2 |
β‘ These facts have appeared repeatedly across CUET and similar exams.
| # | Fact |
|---|---|
| 1 | India became republic on 26 January 1950 |
| 2 | Father of the Nation: Mahatma Gandhi |
| 3 | India's first PM: Jawaharlal Nehru |
| 4 | Smallest prime: 2 |
| 5 | Article 370 abrogated in 2019 |
| 6 | Chandrayaan-3 landed in 2023 (South Pole) |
| 7 | HCF Γ LCM = Product of two numbers |
| 8 | Average speed (equal distance) = 2SβSβ/(Sβ+Sβ) |
| 9 | UNESCO HQ: Paris, France |
| 10 | India shares longest border with Bangladesh |
| 11 | Bihu belongs to Assam |
| 12 | Kathakali belongs to Kerala |
| 13 | C.V. Raman got Nobel in Physics (1930) |
| 14 | First NP in India: Jim Corbett (1936) |
| 15 | Gir NP = Asiatic Lions (Gujarat) |
| 16 | SI formula: PTR/100 |
| 17 | Profit% = (Profit/CP)Γ100 |
| 18 | Sum of angles in triangle = 180Β° |
| 19 | Pythagoras: aΒ²+bΒ²=cΒ² |
| 20 | P(E) + P(E') = 1 |
| 21 | Mode = 3 Median - 2 Mean (Empirical relation) |
| 22 | Largest organ: Skin |
| 23 | Longest bone: Femur |
| 24 | DNA = Deoxyribonucleic Acid |
| 25 | Speed of light = 3Γ10βΈ m/s |
| 26 | National river of India: Ganga |
| 27 | Oldest mountain range in India: Aravalli |
| 28 | India's national game: Field Hockey |
| 29 | Abhinav Bindra won Olympic gold in Shooting (2008) |
| 30 | Booker Prize: "The God of Small Things" β Arundhati Roy |
| 31 | β(Variance) = Standard Deviation |
| 32 | nCr = n! / [r!(n-r)!] |
| 33 | Circular arrangement of n = (n-1)! |
| 34 | Tangent β₯ radius at point of contact |
| 35 | Volume of sphere = (4/3)ΟrΒ³ |
| 36 | Kaziranga NP = One-horned Rhino (Assam) |
| 37 | India's first satellite: Aryabhata (1975) |
| 38 | First Indian in space: Rakesh Sharma (1984) |
| 39 | Simon Commission: 1928 |
| 40 | Quit India Movement: 1942 |
| 41 | India's first war of independence: 1857 |
| 42 | Jallianwala Bagh: 1919 |
| 43 | WTO HQ: Geneva |
| 44 | SAARC HQ: Kathmandu |
| 45 | Nile is the longest river in the world |
| 46 | Russia is the largest country by area |
| 47 | Pacific is the largest and deepest ocean |
| 48 | "Do or Die" slogan: Mahatma Gandhi |
| 49 | "Jai Hind" slogan: Subhas Chandra Bose |
| 50 | Bharat Ratna first given in: 1954 |
π Best of luck! You've prepared well. Trust yourself, stay calm, and go get that score! π