Common Question Types | ADRE Preparation Notes

 Time & Work – Common Question Types

  • Basic concept

    • If A does a work in X days, efficiency = 1/X

  • Combined work

    • A + B can do a work in Y days – use combined efficiency

  • One works, one joins later

    • First works alone, then both work – split time and add work done

  • Part work

    • Work done for some days, then stopped – calculate total using efficiency

  • Men, women, children

    • Given their ratios or relative efficiencies, mix in the equation

  • Pipes & Cisterns

    • Same as Time & Work logic, but Inlet = +ve, Outlet = -ve

  • Alternate working days

    • A works one day, B next day – calculate how much each did in their turns

  • Efficiency ratio

    • Sometimes A:B work ratio is given – use inverse for time

  • Work + Leave

    • A leaves before completion, find total time

  • Work-based puzzles

    • “A is 50% more efficient than B…” – efficiency ratio impacts time proportionally

World War II : Key Facts and Timeline | ADRE Preparation Notes

World War II: Key Facts and Timeline

Start and End Dates

  • Start Date: It began on September 1, 1939, when Germany invaded Poland. The years 1914–1918 were the years of World War I.
  • End Date: The war ended in 1945. The surrender of Japan in August 1945, after the atomic bombings of Hiroshima and Nagasaki, marked the official end of the war.

The Two Main Groups

The two opposing sides were the Allied and Axis powers.

  • Axis Powers: This group was primarily composed of Germany, Italy, and Japan.
    • Germany: Led by Adolf Hitler and the Nazi Party, it was the primary aggressor in Europe.
    • Italy: Led by Benito Mussolini, it was a key partner of Germany.
    • Japan: Led by Emperor Hirohito, it was the main aggressor in Asia.
  • Allied Powers: This group was a large coalition of countries that fought against the Axis. The main powers were the United States, the Soviet Union, the United Kingdom, and France.

Key Events and Turning Points

  • Blitzkrieg in Europe (1939-1941): Germany used a new type of warfare called "Blitzkrieg" (lightning war) to quickly conquer much of Europe.
  • Battle of Britain (1940): The United Kingdom, led by Prime Minister Winston Churchill, successfully defended itself from a German air attack, preventing an invasion.
  • Operation Barbarossa (1941): Germany's surprise invasion of the Soviet Union. This opened a massive new front in the war and was a critical turning point.
  • Attack on Pearl Harbor (1941): Japan's surprise attack on the U.S. naval base at Pearl Harbor led the United States to officially enter the war.
  • D-Day (1944): The Allied invasion of Normandy, France, which began the liberation of Western Europe from German occupation.
  • Atomic Bombings (1945): The United States dropped atomic bombs on the Japanese cities of Hiroshima and Nagasaki in August 1945. This led to Japan's unconditional surrender and ended the war.

World War II was the deadliest conflict in human history, resulting in an estimated 70 to 85 million deaths. It reshaped the global political landscape and led to the creation of the United Nations.

Picture Representation to easily remember

Entertainment | ADRE preparation notes

  1. Joymoti (1935)


    Important Detail: It is considered the first Assamese film.
    Director: Jyotiprasad Agarwala
    Actress: Aideu Handique


  2. Dr. Bezbaruah (1969)


    Director: Brajen Baruah
    Actors/Actress: Nipon Goswami, Brajen Baruah, Renu Bora
    Awards: National Film Award for Best Feature Film in Assamese (1969).


  3. Village Rockstars (2017)


    Director: Rima Das
    Actors/Actress: Bhanita Das (lead child artist)
    Awards: National Film Award for Best Feature Film (2018), and it was India's official entry for the Best Foreign Language Film at the 91st Academy Awards. Rima Das also won the National Film Award for Best Editing.


  4. Bulbul Can Sing (2018)


    Director: Rima Das
    Actors/Actress: Arnali Das, Manabendra Das, Bonita Thakuriya
    Awards: National Film Award for Best Feature Film in Assamese (2018).


  5. Kothanodi (2015)


    Director: Bhaskar Hazarika
    Actors/Actress: Seema Biswas, Adil Hussain, Zerifa Wahid
    Awards: National Film Award for Best Feature Film in Assamese (2015).


  6. Xagoroloi Bohudoor (1995)


    Director: Jahnu Barua
    Actors/Actress: Bishnu Kharghoria, Arun Nath
    Awards: National Film Award for Best Feature Film in Assamese (1994). This film also won the FIPRESCI Award.


  7. Agnisnaan (1985)


    Director: Bhabendra Nath Saikia
    Actors/Actress: Indra Bania, Binoda Saikia
    Awards: National Film Award for Best Feature Film in Assamese (1985).


  8. Mission China (2017)


    Director: Zubeen Garg
    Actors/Actress: Zubeen Garg, Debasmita Benarjee, Siddhartha Goswami


  9. Piyali Phukan (1955)


    Director: Phani Sarma
    Awards: Certificate of Merit at the National Film Awards.


Award-Winning Films (National Film Award for Best Feature Film in Assamese)


  1. Dr. Bezbaruah (1969) - Director: Brajen Baruah

  2. Aranya (1971) - Director: Samarendra Narayan Deb

  3. Sandhyaraag (1977) - Director: Bhabendra Nath Saikia

  4. Aparoopa (1982) - Director: Jahnu Barua

  5. Agnisnaan (1985) - Director: Bhabendra Nath Saikia

  6. Xagoroloi Bohudoor (1995) - Director: Jahnu Barua

  7. Kothanodi (2015) - Director: Bhaskar Hazarika

  8. Maj Rati Keteki (2016) - Director: Santwana Bardoloi

  9. Bulbul Can Sing (2018) - Director: Rima Das

  10. Rongatapu 1982 (2023) - Director: Adityam Saikia


Award-Winning Directors and Actors/Actresses


  1. Rima Das: Won the National Film Award for Best Editing for Village Rockstars.

  2. Bhabendra Nath Saikia: Won multiple National Film Awards for his films.

  3. Jahnu Barua: A celebrated director with numerous National Film Awards.

  4. Bhupen Hazarika: Directed several award-winning films.

  5. Indra Bania: Won Best Actor at the Locarno International Film Festival.

  6. Moloya Goswami: Won the National Film Award for Best Actress for her role in Firingoti.

  7. Utpal Datta: Won the Best Film Critic award at the 71st National Film Awards.

Sponsors in India | ADRE Preparation Quiz

  • Which state is the official sponsor of the Indian National Hockey Team?**
    Odisha
  • **Who is the official sponsor of the Indian Premier League (IPL) 2025?**
    TATA (Tata Group has been sponsoring since 2022)
  • **Which company is the current official sponsor of the Board of Control for Cricket in India (BCCI)?**
    Adidas (Official kit sponsor since 2023)
  • **What is the name of the official sponsor of the Indian Super League (ISL) 2024–25 season?**
    Hero MotoCorp
  • **Which company is the official broadcaster of the IPL 2025?**
    Viacom18 / JioCinema (Digital) and Star Sports (TV)
  • **Who is the title sponsor of India’s national football team kits as of 2025?**
    Six5Six (until a new deal is signed)
  • **Which company is the official sponsor of the Indian women’s cricket team kits?**
    Adidas
  • **Who is the presenting sponsor of Pro Kabaddi League 2024?**
    Dream11
  • **Which Indian company became the first ever sponsor of the FIFA World Cup from India?**
    BYJU’S (FIFA World Cup 2022)

Master the Nested Square Root Trick: A Simple Math Shortcut | ADRE Prep Notes

Sometimes we get a question like this: 'What is the value of √5√5√5√5√5?'

The answer comes out in a very easy trick: take the number, and raise it to the power of (2n - 1) / 2n where 'n' is the number of roots.

For this problem, the answer is 531/32.

But how do we get to this trick? Let's check out the concept.

First, you need to remember that taking a square root is the same as raising a number to the power of 1/2. So, √x = x1/2.

We'll solve this by working from the inside out:

  1. Look at the innermost number, √5. We can rewrite this as 51/2.

  2. Now, let's take on the next root: √5√5. We've already figured out the inner part, so we can write this as: √(5 · 51/2) Use the rule of exponents to add the powers (1 + 1/2 = 3/2): √(53/2) = (53/2)1/2 Now, multiply the exponents to get the result: 5(3/2 · 1/2) = 53/4

  3. Let's keep going. For √5√5√5, we'll use our previous result and a similar process: √(5 · 53/4) = √(57/4) = (57/4)1/2 = 5(7/4 · 1/2) = 57/8

  4. You can see the pattern now. When you add the next root, you repeat the process: √(5 · 57/8) = √(515/8) = (515/8)1/2 = 515/16

  5. And for the final, fifth root: √(5 · 515/16) = √(531/16) = (531/16)1/2 = 531/32

The Final Trick Revealed

You've just recreated the trick's underlying concept! You can see that for each square root you add, the exponent's denominator is multiplied by 2, and the numerator is always one less than the denominator.

The pattern looks like this:

  • 1 root: 51/2
  • 2 roots: 53/4
  • 3 roots: 57/8
  • 4 roots: 515/16
  • 5 roots: 531/32

So, to solve this trick quickly, all you have to do is count the number of roots, let's call it 'n'. The answer is your base number to the power of (2n - 1) / 2n.

Popular Dance Forms in India (State-wise) | ADRE Prep Notes with Assam & NE Focus

India's cultural heritage is beautifully expressed through its diverse and dynamic dance forms. From the intricate footwork of classical dances to the energetic movements of folk traditions, each dance tells a unique story. This guide provides a comprehensive, state-wise list of popular Indian dance forms, with a special focus on the rich traditions of Assam and the North-Eastern states, making it an invaluable resource for your ADRE exam preparation.

The Eight Classical Dances of India

  • Bharatanatyam: Tamil Nadu
  • Kathak: Uttar Pradesh (and North India)
  • Kathakali: Kerala
  • Kuchipudi: Andhra Pradesh
  • Odissi: Odisha
  • Sattriya: Assam
  • Manipuri: Manipur
  • Mohiniyattam: Kerala

Popular Folk and Classical Dances of India (State-wise)

🔶 North India

Uttar Pradesh: Raslila, Nautanki, Charkula, Kajri

Punjab: Bhangra, Giddha, Kikli

Haryana: Ghoomar, Daph, Dhamal

Rajasthan: Ghoomar, Kalbelia, Bhavai, Chari

Himachal Pradesh: Nati, Dangi, Chham

Jammu & Kashmir: Rouf, Kud, Dumhal

Uttarakhand: Garhwali, Kumayuni, Jhora

🔶 East India

West Bengal: Gambhira, Santhali, Chau

Bihar: Jat-Jatin, Bidesia, Paika

Odisha: Dalkhai, Ghumura, Chhau

Jharkhand: Karma, Jhumar, Paika, Sarhul

🔶 West India

Maharashtra: Lavani, Tamasha, Koli

Goa: Dekhni, Fugdi, Shigmo

Gujarat: Garba, Dandiya Raas, Bhavai

Chhattisgarh: Panthi, Raut Nacha, Suwa Nacha

🔶 South India

Tamil Nadu: Karakattam, Kavadi

Kerala: Theyyam, Thiruvathirakali, Kummattikali

Karnataka: Yakshagana, Dollu Kunitha, Veeragase

Andhra Pradesh: Veeranatyam, Lambadi, Dhimsa

Telangana: Perini Shivathandavam, Lambadi, Bonalu

Comprehensive List of Dances of Assam and the North-East

Assam

  • Sattriya: Classical dance form founded by Srimanta Sankardeva.
  • Bihu: Popular folk dance celebrating the agricultural cycle and New Year.
  • Bagurumba: "Butterfly dance" of the Bodo tribe.
  • Ojapali: An ancient narrative-style folk dance.
  • Bhortal Nritya: Performed with cymbals by male dancers.
  • Deodhani: A shamanistic dance honoring the snake goddess Manasa.
  • Jhumur: A dance of the tea garden communities.
  • Ali-Aye-Ligang: A festival dance of the Mising community.

Arunachal Pradesh

  • Bardo Chham: Mask dance of the Sherdukpen tribe.
  • Ponung: A popular folk dance of the Adi tribe.
  • Aji Lamu: A folk-drama dance of the Monpa tribe.

Manipur

  • Manipuri: Classical dance form with devotional themes.
  • Thang Ta: A martial art dance.
  • Lai Haraoba: Ritualistic folk dance.
  • Pung Cholom: Energetic drum dance.

Meghalaya

  • Wangala: "Festival of 100 Drums" dance of the Garo tribe.
  • Nongkrem Dance: Khasi tribe's harvest dance.
  • Shad Suk Mynsiem: Khasi thanksgiving dance.

Mizoram

  • Cheraw: The "bamboo dance."
  • Khuallam: "Dance of guests."
  • Chailam: A popular festival dance.

Nagaland

  • Hornbill Dance: A warrior dance of the Naga tribes.
  • Chang Lo: A warrior dance of the Chang tribe.
  • Zeliang: Dance of the Zeliangrong community.

Sikkim

  • Singhi Chham: The "Snow Lion Dance."
  • Yak Chham: A folk dance honoring the yak.
  • Maruni: A folk dance of the Nepalese community.

Tripura

  • Hojagiri: Folk dance of the Reang community.
  • Garia: A harvest dance.

Festivals of India (State-wise) | ADRE Exam Prep Notes with NE India Focus

Discover the vibrant tapestry of Indian culture through its festivals. Below is a comprehensive list of important festivals celebrated across different states of India. Special attention has been given to the North-Eastern states, providing a detailed breakdown of their unique festivals, which are particularly relevant for those preparing for exams like ADRE.

Major Festivals of India (State-wise)

🔶 North India

Uttar Pradesh

  • Ram Navami
  • Ganga Mahotsav
  • Lathmar Holi
  • Kumbh Mela
  • Diwali (Ayodhya Ram Mandir connection)

Punjab

  • Lohri
  • Baisakhi
  • Guru Nanak Jayanti (major Sikh celebration)

Haryana

  • Baisakhi
  • Lohri
  • Teej

Uttarakhand

  • Ganga Dussehra
  • Kumbh Mela
  • Nanda Devi Raj Jat

Rajasthan

  • Gangaur
  • Teej
  • Pushkar Camel Fair
  • Bundi Utsav
  • Karni Mata Fair (Deshnok – Rat Temple)

Himachal Pradesh

  • Gochi Festival
  • Rakhadumni

🔶 East India

West Bengal

  • Durga Puja
  • Poush Mela
  • Nabanna
  • Saraswati Puja (important in schools and colleges)

Bihar

  • Chhath Puja
  • Rajgir Dance Festival

Odisha

  • Rath Yatra
  • Raja Parba
  • Nuakhai
  • Durga Puja (Cuttack – grand pandals)

Jharkhand

  • Karam Utsav
  • Rohini
  • Tusu Festival (tribal harvest festival)

🔶 West India

Maharashtra

  • Ganesh Chaturthi
  • Gudi Padwa
  • Nag Panchami
  • Dahi Handi (linked to Janmashtami)

Goa

  • Goa Carnival
  • Shigmo

Gujarat

  • Navratri
  • Janmashtami
  • Uttarayan (kite festival)
  • Kutch Utsav

Chhattisgarh

  • Bastar Dussehra (worship of Goddess Danteshwari)

🔶 South India

Tamil Nadu

  • Pongal
  • Thaipusam
  • Natyanjali Festival
  • Karthigai Deepam
  • Chithirai Festival (Madurai)

Kerala

  • Onam
  • Vishu
  • Thrissur Pooram

Karnataka

  • Mysore Dasara
  • Ugadi

Andhra Pradesh

  • Ugadi
  • Brahmotsavam
  • Deccan Festival

Telangana

  • Bathukamma
  • Bonalu
  • Sammakka Saralamma Jatara (Asia’s largest tribal festival)

Festivals of the North-East (Comprehensive List)

Arunachal Pradesh

  • Losar (Monpa tribe)
  • Dree (Apatani tribe)
  • Mopin (Galo tribe)
  • Boori Boot (Hill Miris)
  • Solung (Adi tribe)
  • Pangtu (Tutsa tribe)

Assam

  • Bihu (three forms):
    • Bohag Bihu (Rongali) – New Year, spring
    • Kati Bihu (Kongali) – for crops
    • Magh Bihu (Bhogali) – harvest
  • Ambubachi Mela (Kamakhya Temple)
  • Baishagu (Bodo tribe)
  • Dehing Patkai Festival (tourism & culture)
  • Jonbeel Mela (bartering fair)
  • Ali-Aye-Ligang (Mishing tribe)

Manipur

  • Yaoshang (like Holi + sports)
  • Kut Festival (Kuki-Chin-Mizo tribes)
  • Lui-Ngai-Ni (Naga seed-sowing)
  • Cheiraoba (New Year)
  • Heikru Hidongba (traditional boat race)

Meghalaya

  • Wangala (Garo tribe)
  • Nongkrem Dance Festival (Khasi tribe)
  • Shad Suk Mynsiem (Khasi thanksgiving)
  • Behdeinkhlam (Pnar tribe)
  • Christmas (widely celebrated)

Mizoram

  • Chapchar Kut (spring festival)
  • Anthurium Festival (tourism promotion)
  • Mim Kut (maize harvest)

Nagaland

  • Hornbill Festival ("Festival of Festivals")
  • Moatsu Mong (Ao tribe)
  • Sekrenyi (Angami tribe)
  • Tuluni (Sumi tribe)
  • Tokhu Emong (Lotha tribe)

Sikkim

  • Losoong (Sikkimese New Year)
  • Saga Dawa (Buddhist festival)
  • Pang Lhabsol (worship of Mt. Khangchendzonga)
  • Maghe Sankranti Mela (at Jorethang)

Tripura

  • Kharchi Puja (worship of 14 deities)
  • Garia Puja (harvest, tribal deity)
  • Neermahal Festival (water sports & culture)
  • Durga Puja (celebrated widely)