Assam Police AB/ UB SI Free Demo ebook (English)
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ADRE Grade-IV Paper-I (HSLC Level) - Free Practice Set (2026-2027 Edition)
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Table of Contents
Free Practice Set 01
Q1. Find the value of 13 + 23 + 33 + 43 + 53.
- 200
- 225
- 250
- 125
Q2. Three bells toll at intervals of 12, 15, and 18 minutes. If they toll together at 8:00 AM, at what exact time will they toll together again?
- 10:30 AM
- 11:00 AM
- 11:30 AM
- 12:00 PM
Q3. If the quadratic equation x2 - 7x + 12 = 0 is solved, what are the two roots?
- 3 and 4
- -3 and -4
- 2 and 6
- -2 and -6
Q4. A, B, and C invest capital in a business in the ratio 3:4:5. If the return on their investments is in the ratio 5:4:3, what is the ratio of their final profits?
- 15:16:15
- 9:16:25
- 15:20:15
- 12:15:16
Q5. Find the numerical difference between the Compound Interest and Simple Interest on a principal of Rs. 2000 at a rate of 5% per annum for 2 years.
- Rs. 10
- Rs. 25
- Rs. 5
- Rs. 15
Q6. Simplify the mathematical expression:
- 158
- 168
- 178
- 148
Q7. A boat takes 4 hours to travel 24 km upstream and 3 hours to travel 36 km downstream. Find the speed of the stream.
- 2 km/hr
- 4 km/hr
- 3 km/hr
- 5 km/hr
Q8. What is the mathematical measure of each interior angle of a regular octagon?
- 120 degrees
- 140 degrees
- 135 degrees
- 145 degrees
Q9. The ratio of two numbers is 8:9. If 6 is added to each number, the ratio becomes 10:11. What is the value of the smaller number?
- 32
- 24
- 16
- 40
Q10. A train traveling at a speed of 60 km/hr crosses a stationary man standing on the platform in 12 seconds. What is the length of the train?
- 150 meters
- 250 meters
- 200 meters
- 180 meters
Q11. In a class of 80 students, 25% play tennis, 45% play cricket, and the remaining students play football. How many students play football?
- 20
- 24
- 28
- 30
Q12. How many litres of pure water must be added to 50 litres of milk costing Rs. 20 per litre to bring the average cost of the mixture down to Rs. 16 per litre?
- 10.5 litres
- 15 litres
- 12.5 litres
- 14 litres
Q13. The area of a trapezium is 120 sq cm and its perpendicular height is 8 cm. If one of the parallel sides is 12 cm long, what is the length of the other parallel side?
- 16 cm
- 20 cm
- 18 cm
- 22 cm
Q14. A shopkeeper marks up his goods by 40% above the cost price and then allows a discount of 15%. What is his net profit percentage?
- 25%
- 19%
- 21%
- 15%
Q15. 30% of a certain number, when subtracted from 91, gives the number itself. Find the value of the number.
- 60
- 70
- 80
- 90
Q16. Find the volume of a right circular cone with a base radius of 6 cm and a perpendicular height of 7 cm. (Take π = 22/7)
- 264 cubic cm
- 132 cubic cm
- 528 cubic cm
- 396 cubic cm
Q17. Evaluate the exact value of the trigonometric expression: 2 tan2 45° + cos2 30° - sin2 60°.
- 1
- 2
- 0
- 3
Q18. The angle of elevation of the top of a transmission tower from a point 30 meters away from its base is 60 degrees. Find the height of the tower.
- 10√3 meters
- 20√3 meters
- 30√3 meters
- 30 meters
Q19. What is the mathematical average of the first 15 odd natural numbers?
- 14
- 15
- 16
- 30
Q20. P can do a piece of work in 20 days. After working for 5 days, Q joins him and they finish the remaining work together in 9 days. In how many days can Q alone complete the entire work?
- 25 days
- 30 days
- 20 days
- 35 days
Directions: Improve the sentence if there is a grammatical error.
Q21. Improve the grammatical structure of the sentence: "He has been absent since three days."
- He has been absent from three days.
- He has been absent for three days.
- He was absent since three days.
- No improvement needed.
Directions: Change the voice of the following sentence.
Q22. Convert the active sentence to passive voice: "They are painting the old house."
- The old house is painted by them.
- The old house has been painted by them.
- The old house is being painted by them.
- The old house was being painted by them.
Q23. Identify the correctly spelled word among the following options:
- Maintanence
- Maintainance
- Maintenance
- Maintenence
Q24. Fill in the blank with the correct preposition: "He is completely absorbed _____ his latest project."
- with
- at
- on
- in
Q25. What is the correct plural form of the noun 'Index' in a mathematical or analytical context?
- Indexes
- Indices
- Indice
- Index
Q26. Supply the correct verb form for the conditional sentence: "If I _____ a bird, I would fly across the ocean."
- am
- was
- were
- be
Q27. What is the one-word substitution for "A person who collects or studies postage stamps"?
- Numismatist
- Philatelist
- Ornithologist
- Bibliophile
Q28. What does the idiomatic expression "To cost an arm and a leg" mean?
- To require physical labor
- To be very painful
- To be extremely expensive
- To lose a limb in an accident
Q29. What is the superlative degree of the adjective "Bad"?
- Baddest
- Worse
- Worst
- Most bad
Q30. Identify the specific type of clause for the quoted part: "She told me 'that she was coming to the party'."
- Noun Clause
- Adjective Clause
- Adverb Clause
- Relative Clause
Q31. Choose the correct spelling for a coworker:
- Collaegue
- Colleague
- Coleague
- Collaege
Q32. What is the exact antonym of the word "Barbarous"?
- Cruel
- Savage
- Civilized
- Wild
Q33. What is a common synonym for the word "Plentiful"?
- Scarce
- Abundant (or Copious)
- Rare
- Limited
Q34. In a reading passage discussing barren landscapes, what does the word "Desolate" mean?
- Crowded and noisy
- Fertile and green
- Deserted, empty, or bleak
- Hot and humid
Directions: Find the grammatical error in the following sentence.
Q35. Spot the grammatical error in the sentence: "He is one of the best player in our school team."
- 'is' should be 'are'
- 'best' should be 'better'
- 'player' should be 'players'
- No error
Q36. What is the meaning of the vocabulary word "Gullible"?
- Stubborn and headstrong
- Intelligent and sharp
- Easily persuaded to believe something; credulous
- Suspicious and untrusting
Q37. In reading comprehension, what does the word "Arduous" signify?
- Simple and easy
- Involving or requiring strenuous effort; difficult and tiring
- Quick and efficient
- Pleasant and enjoyable
Q38. Fill in the blank with the appropriate phrasal verb preposition: "She takes _____ her mother in both looks and temperament."
- on
- after
- up
- to
Q39. Improve the grammatical agreement in the sentence: "The jury was divided in their final opinion."
- The jury were divided in their final opinion.
- The jury is divided in their final opinion.
- The jury has been divided in their final opinion.
- No improvement needed.
Q40. What is the one-word substitution for "A speech delivered without any previous preparation"?
- Maiden
- Extempore
- Elocution
- Soliloquy
Q41. If all birds have feathers, and a parrot has feathers, does it guarantee that a parrot is a bird based solely on this deductive logic?
- Yes
- No (Affirming the consequent is a logical fallacy)
- Data Inadequate
- Either Yes or No
Q42. In a parking lot, there are 10 motorcycles and 15 cars. How many total wheels are there on the ground?
- 60
- 70
- 80
- 90
Q43. A business bar chart shows sales of 120 units in Q1 and 150 units in Q2. What is the simplified ratio of Q1 sales to Q2 sales?
- 3:4
- 4:5
- 5:6
- 2:3
Q44. A is taller than B, but shorter than C. D is taller than C. Who is the tallest person among them?
- A
- B
- C
- D
Q45. Find the odd one out among the following animals: Snake, Lizard, Turtle, Frog, Whale.
- Snake
- Turtle
- Whale (It is a mammal, the others are reptiles/amphibians)
- Frog
Q46. A traditional grandfather clock strikes once at 1 o'clock, twice at 2 o'clock, and so on. How many times does it strike in a complete 12-hour cycle?
- 66
- 72
- 78
- 84
Q47. What is the 5th letter to the left of the 10th letter from the left end in the standard English alphabet?
- D
- E
- F
- G
Q48. Complete the structural analogy: Hive is to Bee as Stable is to _____?
- Cow
- Pig
- Dog
- Horse
Q49. A garden snail climbs an 8-meter high pole. It climbs 3 meters during the day and slips back 2 meters at night. How many days will it take to finally reach the top?
- 8 days
- 7 days
- 6 days
- 5 days
Q50. Pointing to a man, a woman said, "His wife is the only daughter of my mother." How is the woman related to the man?
- Sister-in-law
- Wife
- Mother
- Aunt
Q51. Statement: "All fruits are sweet. An apple is a fruit."
Conclusion: "An apple is sweet."
Is this conclusion logically True or False?
- False
- Cannot be determined
- Irrelevant
- True
Q52. Find the next number in the Fibonacci-style sequence: 1, 1, 2, 3, 5, 8, ?
- 11
- 12
- 13
- 15
Q53. If the word 'APPLE' is coded as 'BQQMF' by shifting each letter forward by one, how is the word 'MANGO' coded?
- NBPGP
- NBOHP
- MBNHO
- OZNIO
Q54. In a straight row of 30 students, Ramesh is positioned 12th from the left. What is his exact position from the right end?
- 18th
- 19th
- 20th
- 17th
Q55. How many completely enclosed triangles are formed inside a standard Star of David (a hexagram drawn with two intersecting triangles)?
- 6
- 10
- 8
- 12
Q56. Facing North, you turn 90 degrees right, walk 10 meters, then turn 90 degrees right again and walk 10 meters. Which cardinal direction are you facing now?
- East
- West
- South
- North
Q57. When a 3D cylinder is completely unfolded and flattened out, what specific 2D geometric shapes are produced?
- Two rectangles and one circle
- One rectangle and two circles
- Three rectangles
- Two circles and one triangle
Q58. If the 2nd day of a given month falls on a Sunday, what date will the 3rd Sunday of that same month be?
- 15th
- 16th
- 17th
- 14th
Q59. In a specific numerical code, 256 means 'you are good', and 637 means 'we are bad'. Which digit specifically stands for the word 'are'?
- 2
- 5
- 6
- 3
Q60. A and B are brothers. C and D are sisters. A's son is D's brother. How is B related to C?
- Father
- Uncle
- Brother
- Grandfather
Q61. Which specific variety of mud rice from Assam, known for being consumed after just soaking in water without cooking, holds a Geographical Indication (GI) tag?
- Johal Saul
- Aijong Saul
- Boka Saul
- Kumal Saul
Q62. The ancient Kamarupa king Bhaskar Varman belonged to which ruling dynasty?
- Pala Dynasty
- Salastambha Dynasty
- Varman Dynasty
- Bhauma Dynasty
Q63. The Tocklai Tea Research Institute, the oldest and largest tea research station in the world, is located in which district of Assam?
- Dibrugarh
- Tinsukia
- Jorhat
- Golaghat
Q64. What is the officially recognized state tree of Assam?
- Sal
- Teak
- Hollong
- Banyan
Q65. The historic Baruah Bamungaon sugar mill, the first cooperative sugar mill in the state, was established in which district?
- Jorhat
- Nagaon
- Golaghat
- Sonitpur
Q66. The Assam Legislative Assembly currently comprises how many elected constituencies?
- 114
- 120
- 126
- 130
Q67. 'Kushan Nritya' is a highly popular traditional folk dance deeply associated with which ethnic community in Assam?
- Bodo
- Mising
- Koch Rajbongshi
- Rabha
Q68. The Chakrashila Wildlife Sanctuary is internationally acclaimed for being a safe haven for which highly endangered primate?
- Hoolock Gibbon
- Golden Langur
- Slow Loris
- Pig-tailed Macaque
Q69. Which iconic Assamese motion picture, released in 1935, holds the distinction of being the first Assamese film ever made?
- Indramalati
- Joymoti
- Siraj
- Piyoli Phukan
Q70. Under the 'Arundhati Gold Scheme' launched by the Assam Government, what specific benefit is provided to newlywed brides of eligible communities?
- Free cooking gas connection
- Rs 50,000 for wedding expenses
- Financial assistance to purchase 1 tola (10 grams) of gold
- A piece of agricultural land
Q71. The devastating annual floods in the Barak Valley of southern Assam are primarily caused by the overflow of which major river system?
- Kushiyara River
- Dhansiri River
- Barak River
- Kopili River
Q72. The scenic Akashiganga waterfalls, highly revered as a significant pilgrimage site, are located in which district of Assam?
- Karbi Anglong
- Nagaon
- Sonitpur
- Hojai
Q73. The Assamese freedom fighter Kushal Konwar was convicted and hanged by the British in 1943 for his alleged involvement in which specific incident?
- Quit India Movement sabotage
- Sarupathar Train Derailment
- Gohpur bomb blast
- Assassination of a British officer
Q74. Which specialized central public sector enterprise, engaged in oil refining, operates as a joint venture with Bharat Petroleum (BPCL) in Assam?
- Bongaigaon Refinery
- Guwahati Refinery
- Numaligarh Refinery Limited (NRL)
- Digboi Refinery
Q75. Who holds the historic political distinction of being the first female Chief Minister of Assam?
- Pushpalata Das
- Amalprabha Das
- Syeda Anwara Taimur
- Nandita Das
Q76. The acronym 'KAAC' in the context of Assam's autonomous governance stands for what?
- Kamrup Autonomous Administrative Council
- Karbi Anglong Autonomous Council
- Kokrajhar Autonomous Administrative Council
- Karbi Anglong Administrative Committee
Q77. What is the traditional community prayer hall, acting as the socio-cultural nerve center in Assamese villages, called?
- Satra
- Bor Ghar
- Namghar
- Bihu Ghar
Q78. In which year was the first commercial oil well in Asia successfully drilled at Digboi?
- 1901
- 1895
- 1889
- 1911
Q79. The 'Chief Minister's Samagra Gramya Unnayan Yojana' (CMSGUY) is a mega mission aimed at heavily boosting which specific sector in Assam?
- Urban infrastructure and smart cities
- Rural development and farmers' income
- Primary healthcare and sanitation
- Digital literacy among youth
Q80. Which Assam-based public sector enterprise proudly operates the Bongaigaon Refinery?
- Oil India Limited (OIL)
- Bharat Petroleum Corporation Limited (BPCL)
- Numaligarh Refinery Limited (NRL)
- Indian Oil Corporation Limited (IOCL)
Q81. The architectural masterpiece known as the 'Qutub Minar' in Delhi was initiated by Qutb-ud-din Aibak but completed by which ruler?
- Iltutmish
- Alauddin Khalji
- Firuz Shah Tughlaq
- Balban
Q82. In the context of the Indian digital payment ecosystem, what does the acronym 'UPI' stand for?
- Unified Payments Interface
- Universal Payment Integration
- Unified Portal Interface
- Universal Payment Infrastructure
Q83. Which eminent Indian scientist and visionary is universally acknowledged as the 'Father of the Indian Space Programme'?
- Dr. Homi J. Bhabha
- Dr. A.P.J. Abdul Kalam
- Dr. Vikram Sarabhai
- Dr. Satish Dhawan
Q84. The international environmental treaty known as the 'Ramsar Convention' is specifically dedicated to the conservation of what?
- Endangered migratory birds
- Wetlands
- Coral reefs
- Tropical rainforests
Q85. What is the standard SI unit of electrical capacitance used in physics?
- Henry
- Tesla
- Farad
- Coulomb
Q86. Under the constitutional framework of India, the power to pardon a death sentence is vested exclusively in whom?
- The Chief Justice of India
- The President of India
- The Governor of the respective state
- The Prime Minister of India
Q87. The deepest oceanic trench on Earth, located in the western Pacific Ocean, is known by what name?
- Mariana Trench
- Tonga Trench
- Kermadec Trench
- Philippine Trench
Q88. The 'Arjuna Award' is a prestigious national honor given by the Government of India for outstanding performance in which field?
- Classical Literature
- Sports and Games
- Scientific Research
- Film and Television
Q89. The specialized sporting terms 'Smash', 'Drop', and 'Let' are prominently associated with which racket sport?
- Tennis
- Squash
- Table Tennis
- Badminton
Q90. In computer document terminology, what does the widely used acronym 'PDF' stand for?
- Printed Document File
- Portable Document Format
- Printable Digital Format
- Personal Data File
Q91. Which specific Schedule of the Indian Constitution, added by the 52nd Amendment, contains the Anti-Defection Law?
- Ninth Schedule
- Eleventh Schedule
- Tenth Schedule
- Twelfth Schedule
Q92. The traditional and highly geometric 'Warli' folk painting originated in which Indian state?
- Gujarat
- Maharashtra
- Rajasthan
- Madhya Pradesh
Q93. Which European country successfully hosted the 50th G7 Summit in June 2024?
- Germany
- France
- Italy
- United Kingdom
Q94. Who is the acclaimed Indian author of the Booker Prize-winning novel 'The God of Small Things'?
- Kiran Desai
- Salman Rushdie
- Arundhati Roy
- Jhumpa Lahiri
Q95. What is the official currency used in the South American country of Brazil?
- Peso
- Escudo
- Brazilian Real
- Bolivar
Q96. The historic 'Dandi March', initiated by Mahatma Gandhi as a direct action campaign of tax resistance, took place in which year?
- 1928
- 1930
- 1932
- 1942
Q97. What is the longest and strongest bone in the human body?
- Femur (Thigh bone)
- Tibia
- Fibula
- Humerus
Q98. According to the Indian Constitution, what is the minimum qualifying age required to become a member of the Lok Sabha?
- 21 years
- 30 years
- 25 years
- 35 years
Q99. The world's highest uninterrupted waterfall, known as 'Angel Falls', is located in which South American country?
- Venezuela
- Brazil
- Colombia
- Peru
Q100. In computer hardware terminology, what does the acronym 'ROM' stand for?
- Random Output Memory
- Read-Once Memory
- Read-Only Memory
- Real-time Operating Memory
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Upgrade to PremiumAnswer Key 01
| Q.No | Correct Option | Correct Answer |
|---|---|---|
| Q1 | B | 225 |
| Q2 | B | 11:00 AM |
| Q3 | A | 3 and 4 |
| Q4 | A | 15:16:15 |
| Q5 | C | Rs. 5 |
| Q6 | B | 168 |
| Q7 | C | 3 km/hr |
| Q8 | C | 135 degrees |
| Q9 | B | 24 |
| Q10 | C | 200 meters |
| Q11 | B | 24 |
| Q12 | C | 12.5 litres |
| Q13 | C | 18 cm |
| Q14 | B | 19% |
| Q15 | B | 70 |
| Q16 | A | 264 cubic cm |
| Q17 | B | 2 |
| Q18 | A | $30\sqrt{3}$ meters |
| Q19 | B | 15 |
| Q20 | B | 30 days |
| Q21 | B | He has been absent for three days. |
| Q22 | C | The old house is being painted by them. |
| Q23 | C | Maintenance |
| Q24 | D | in |
| Q25 | B | Indices |
| Q26 | C | were |
| Q27 | B | Philatelist |
| Q28 | C | To be extremely expensive |
| Q29 | C | Worst |
| Q30 | A | Noun Clause |
| Q31 | B | Colleague |
| Q32 | C | Civilized |
| Q33 | B | Abundant (or Copious) |
| Q34 | C | Deserted, empty, or bleak |
| Q35 | C | 'player' should be 'players' |
| Q36 | C | Easily persuaded to believe something; credulous |
| Q37 | B | Involving or requiring strenuous effort; difficult and tiring |
| Q38 | B | after |
| Q39 | A | The jury were divided in their final opinion. |
| Q40 | B | Extempore |
| Q41 | B | No (Affirming the consequent is a logical fallacy) |
| Q42 | D | 80 |
| Q43 | B | 4:5 |
| Q44 | D | D |
| Q45 | C | Whale (It is a mammal, the others are reptiles/amphibians) |
| Q46 | C | 78 |
| Q47 | B | E |
| Q48 | D | Horse |
| Q49 | C | 6 days |
| Q50 | B | Wife |
| Q51 | D | True |
| Q52 | C | 13 |
| Q53 | B | NBOHP |
| Q54 | B | 19th |
| Q55 | C | 8 |
| Q56 | C | South |
| Q57 | B | One rectangle and two circles |
| Q58 | B | 16th |
| Q59 | C | 6 |
| Q60 | B | Uncle |
| Q61 | C | Boka Saul |
| Q62 | C | Varman Dynasty |
| Q63 | C | Jorhat |
| Q64 | C | Hollong |
| Q65 | C | Golaghat |
| Q66 | C | 126 |
| Q67 | C | Koch Rajbongshi |
| Q68 | B | Golden Langur |
| Q69 | B | Joymoti |
| Q70 | C | Financial assistance to purchase 1 tola (10 grams) of gold |
| Q71 | C | Barak River |
| Q72 | B | Nagaon |
| Q73 | B | Sarupathar Train Derailment |
| Q74 | C | Numaligarh Refinery Limited (NRL) |
| Q75 | C | Syeda Anwara Taimur |
| Q76 | B | Karbi Anglong Autonomous Council |
| Q77 | C | Namghar |
| Q78 | C | 1889 |
| Q79 | B | Rural development and farmers' income |
| Q80 | D | Indian Oil Corporation Limited (IOCL) |
| Q81 | A | Iltutmish |
| Q82 | A | Unified Payments Interface |
| Q83 | C | Dr. Vikram Sarabhai |
| Q84 | B | Wetlands |
| Q85 | C | Farad |
| Q86 | B | The President of India |
| Q87 | A | Mariana Trench |
| Q88 | B | Sports and Games |
| Q89 | D | Badminton |
| Q90 | B | Portable Document Format |
| Q91 | C | Tenth Schedule |
| Q92 | B | Maharashtra |
| Q93 | C | Italy |
| Q94 | C | Arundhati Roy |
| Q95 | C | Brazilian Real |
| Q96 | B | 1930 |
| Q97 | A | Femur (Thigh bone) |
| Q98 | C | 25 years |
| Q99 | A | Venezuela |
| Q100 | C | Read-Only Memory |
Detailed Solutions 01
Explanation:
Step 2: 13 = 1
Step 3: 23 = 8
Step 4: 33 = 27
Step 5: 43 = 64
Step 6: 53 = 125
Calculation: Sum = 1 + 8 + 27 + 64 + 125 = 225.
Alternate Formula: Sum of cubes of first 'n' natural numbers = [n(n+1)/2]2 = [5(6)/2]2 = 152 = 225.
Explanation:
Step 2: LCM of 12, 15, 18 is 180 minutes.
Step 3: Convert minutes into hours: 180 minutes = 3 hours.
Calculation: The bells toll together every 3 hours. So, 8:00 AM + 3 hours = 11:00 AM.
Explanation:
Step 2: The numbers are -3 and -4. So, x2 - 3x - 4x + 12 = 0.
Step 3: x(x - 3) - 4(x - 3) = 0 → (x - 3)(x - 4) = 0.
Conclusion: Thus, x = 3 and x = 4.
Explanation:
Step 2: For A: 3 × 5 = 15.
Step 3: For B: 4 × 4 = 16.
Step 4: For C: 5 × 3 = 15.
Conclusion: The ratio of their final profits is 15:16:15.
Explanation:
Step 2: Substitute P = 2000 and R = 5.
Step 3: Difference = 2000 × (5/100)2 = 2000 × (1/20)2.
Calculation: 2000 × (1/400) = 2000 / 400 = Rs. 5.
Explanation:
Step 2: Evaluate the first part:
Step 3: Evaluate the second part:
Calculation: Add the results: 108 + 60 = 168.
Explanation:
Step 2: Downstream Speed (D) = Distance / Time = 36 km / 3 hr = 12 km/hr.
Step 3: The formula for the speed of the stream is: (D - U) / 2.
Calculation: (12 - 6) / 2 = 6 / 2 = 3 km/hr.
Explanation:
Step 2: For an octagon, n = 8.
Calculation: [(8 - 2) × 180] / 8 = (6 × 180) / 8 = 1080 / 8 = 135 degrees.
Explanation:
Step 2: According to the problem: (8x + 6) / (9x + 6) = 10 / 11.
Step 3: Cross-multiply: 11(8x + 6) = 10(9x + 6) → 88x + 66 = 90x + 60.
Step 4: 2x = 6 → x = 3.
Calculation: The smaller number is 8x = 8 × 3 = 24.
Explanation:
Step 2: When a train crosses a stationary point (a man), the distance covered is equal to the length of the train itself.
Step 3: Distance = Speed × Time = (50/3) × 12.
Calculation: 50 × 4 = 200 meters.
Explanation:
Step 2: Percentage of students playing football = 100% - 70% = 30%.
Calculation: Number of football players = 30% of 80 = (30/100) × 80 = 24.
Explanation:
Step 2: Diagonal differences: Water side = (20 - 16) = 4. Milk side = (16 - 0) = 16.
Step 3: The ratio of Milk to Water = 16 : 4 = 4 : 1.
Step 4: Let water added be 'x' litres. So, 50 / x = 4 / 1.
Calculation: 4x = 50 → x = 50 / 4 = 12.5 litres.
Explanation:
Step 2: Let the unknown side be 'x'. Substitute values: 120 =
Step 3: 120 = 4 × (12 + x) → 30 = 12 + x.
Calculation: x = 30 - 12 = 18 cm.
Explanation:
Step 2: Mark up is 40%, so Marked Price (MP) = 140.
Step 3: Discount is 15% on MP. Discount amount = 15% of 140 = 21.
Step 4: Selling Price (SP) = MP - Discount = 140 - 21 = 119.
Calculation: Net Profit = SP - CP = 119 - 100 = 19. Thus, profit percentage is 19%.
Explanation:
Step 2: Form the equation: 91 - 30% of x = x.
Step 3: 91 - 0.3x = x → 91 = 1.3x.
Calculation: x = 91 / 1.3 = 910 / 13 = 70.
Explanation:
Step 2: Substitute π = 22/7, r = 6, and h = 7. V =
Calculation: The 7s cancel out, and 3 divides 6. V = 22 × 2 × 6 = 44 × 6 = 264 cubic cm.
Explanation:
Step 2: 2(1)2 + (√3/2)2 - (√3/2)2.
Calculation: The last two terms perfectly cancel each other out. 2(1) + 3/4 - 3/4 = 2.
Explanation:
Step 2: tan(60°) = Height / 30.
Calculation: Since tan(60°) = √3, Height = 30 × √3 = 30√3 meters.
Explanation:
Conclusion: Since we are asked for the average of the first 15 odd natural numbers, the answer is simply 15.
Explanation:
Step 2: Work done by P in the first 5 days = 5 × (1/20) = 1/4. Remaining work = 1 - 1/4 = 3/4.
Step 3: P and Q complete this 3/4 work together in 9 days. So, (P+Q)'s 1 day work = (3/4) / 9 = 1/12.
Step 4: Q's 1 day work = (P+Q)'s work - P's work = 1/12 - 1/20.
Calculation: LCM of 12 and 20 is 60. Q's work = (5 - 3)/60 = 2/60 = 1/30. Q takes 30 days alone.
Explanation: In English grammar, 'since' is used for a specific point in time (e.g., since Monday, since 2010). 'For' is used for a duration or period of time (e.g., for three days, for two months). Therefore, 'since' must be replaced with 'for'.
Explanation: The active sentence is in the Present Continuous tense ("are painting"). To convert it to passive voice, the object ("The old house") becomes the subject. The auxiliary verb becomes singular ("is"), followed by the continuous marker "being" and the past participle "painted".
Explanation: The correct spelling is "Maintenance". A common error is spelling it like the verb "Maintain" (Maintainance), but the noun form changes the 'ai' to an 'e' in the middle.
Explanation: The adjective "absorbed", when meaning fully engaged or engrossed in an activity or thought, is always followed by the fixed preposition "in" (e.g., absorbed in a book, absorbed in work).
Explanation: While "indexes" is accepted for the index of a book, in mathematics, economics, and analytics, the standard and correct plural form of 'Index' is "Indices".
Explanation: This is a Type 2 Conditional sentence expressing an unreal or hypothetical situation in the present. In formal English grammar (the subjunctive mood), 'were' is used for all subjects (I, he, she, it) instead of 'was'.
Explanation: A "Philatelist" is a person who studies or collects postage stamps. (For context, a Numismatist collects coins, an Ornithologist studies birds, and a Bibliophile loves books).
Explanation: The idiom "To cost an arm and a leg" is a hyperbolic phrase used to emphasize that something is incredibly costly or prohibitively expensive to purchase.
Explanation: "Bad" is an irregular adjective. Its comparative degree is "Worse", and its superlative degree is "Worst".
Explanation: The quoted clause "that she was coming to the party" acts as the direct object of the verb "told". A dependent clause functioning as a noun (subject, object, or complement) is called a Noun Clause.
Explanation: The correct spelling is "Colleague". Notice the double 'l' and the specific "eague" ending.
Explanation: "Barbarous" means exceedingly cruel, uncivilized, savage, or primitive. The direct antonym is "Civilized", implying politeness, cultural advancement, and humane behavior.
Explanation: "Plentiful" means existing in or yielding great quantities; more than enough. "Abundant" is a perfect synonym representing a large or sufficient quantity.
Explanation: In the context of landscapes, "Desolate" refers to a place that is deserted of people and in a state of bleak and dismal emptiness.
Explanation: The grammatical rule states that the phrase "One of the" must always be followed by a plural noun, because you are selecting 'one' out of 'many'. Therefore, "player" must be "players".
Explanation: A "Gullible" person is someone who is overly trusting, naive, and easily deceived or tricked into believing false things.
Explanation: An "Arduous" task or journey is one that demands immense physical or mental exertion, often leaving a person exhausted. It is a synonym for grueling or laborious.
Explanation: The phrasal verb "take after" means to closely resemble an older family member in appearance, behavior, or character.
Explanation: 'Jury' is a collective noun. When the members act individually or disagree (as shown by "divided" and "their"), the noun is treated as plural. Hence, the verb "was" must be changed to the plural "were".
Explanation: "Extempore" (or Impromptu) refers to speaking or performing entirely without prior preparation or rehearsal. (A 'Maiden' speech is one's very first speech).
Conclusion: Just because a parrot has feathers (B is true), we cannot definitively prove it is a bird (A is true) based solely on this statement, because other things (like a pillow or a hat) could also have feathers. This is the fallacy of affirming the consequent.
Step 2: Calculate wheels for cars: 15 cars × 4 wheels = 60 wheels.
Calculation: Total wheels = 20 + 60 = 80 wheels.
Calculation: Simplify by dividing both sides by 30. Ratio = 4 : 5.
Step 2: "A is shorter than C" → C > A. Combining these gives C > A > B.
Step 3: "D is taller than C" → D > C.
Conclusion: The final height order is D > C > A > B. D is the tallest.
Conclusion: Snakes, Lizards, and Turtles are reptiles. A Frog is an amphibian (cold-blooded, egg-laying). A Whale is a warm-blooded marine mammal that gives birth to live young. Thus, Whale is the odd one out.
Step 2: Use the sum of first 'n' natural numbers formula: Sum = n(n+1) / 2, where n = 12.
Calculation: Sum = 12(13) / 2 = 6 × 13 = 78.
Step 2: Position = (10 - 5) = 5th letter from the left end.
Conclusion: The 5th letter of the alphabet is E.
Conclusion: A Hive is a specific structure where Bees live. Similarly, a Stable is a specific building where Horses are kept.
Step 2: Determine the 'safe' climbing zone before the final jump. Pole height (8) - Final jump (3) = 5 meters.
Step 3: The snail takes 5 days to climb these 5 meters (net 1m per day).
Conclusion: On the 6th day, starting from 5 meters, it climbs 3 meters and reaches the top (8 meters). Once it reaches the top, it doesn't slip down. Total = 6 days.
Step 2: Substitute this back: "His wife is [myself]".
Conclusion: The woman is stating that she is the wife of the man.
Step 1: Major Premise: All A (fruits) are B (sweet).
Step 2: Minor Premise: C (apple) is A (a fruit).
Conclusion: Therefore, C must be B. The conclusion is logically True.
Step 1: 1 + 1 = 2
Step 2: 1 + 2 = 3
Step 3: 2 + 3 = 5
Step 4: 3 + 5 = 8
Conclusion: 5 + 8 = 13.
Step 1: M(+1) = N
Step 2: A(+1) = B
Step 3: N(+1) = O
Step 4: G(+1) = H
Step 5: O(+1) = P
Conclusion: The code is NBOHP.
Calculation: Position from Right = 30 - 12 + 1 = 18 + 1 = 19th.
Step 1: There are 6 small, identical triangles forming the outer points of the star.
Step 2: There are 2 large intersecting triangles that form the base shape of the star.
Conclusion: Total enclosed triangles = 6 + 2 = 8.
Image Placement: Explanation
Image Purpose: Visual proof of counting triangles in a hexagram.
Exact AI Image Prompt: A clean outline of a Star of David (hexagram) formed by two intersecting equilateral triangles. Highlight the 6 small outer triangles in light blue, and clearly outline the two large base triangles in red and green to show 8 total.
Step 2: A 90-degree right turn from North points you East.
Step 3: Another 90-degree right turn from East points you South.
Conclusion: The person is now facing South.
Conclusion: A solid cylinder consists of two flat circular bases (top and bottom) and a curved lateral surface. When the curved surface is cut vertically and unrolled flat, it forms a perfect rectangle (where length = circumference, and width = height). Thus, it creates one rectangle and two circles.
Step 2: Days of the week repeat every 7 days. The 2nd Sunday falls on 2 + 7 = 9th.
Step 3: The 3rd Sunday falls on 9 + 7 = 16th.
Conclusion: The date is the 16th.
Step 2: Identify the common word in both sentences. The only common word is 'are'.
Step 3: Identify the common digit in both codes. The only common digit is '6'.
Conclusion: Therefore, '6' represents the word 'are'.
Step 2: "A's son is D's brother". If A's son is the brother of D, then D must be the daughter of A. Since C and D are sisters, C is also the daughter of A.
Step 3: Therefore, A is the father of C.
Conclusion: Since B is the brother of A (the father), B is the paternal Uncle of C.
Explanation: Boka Saul (Mud Rice) is a unique, indigenous variety of rice from lower Assam. It is famous because it requires absolutely no fuel or cooking; it can simply be soaked in water at room temperature for a short time and eaten. It received the prestigious GI tag in 2018.
Explanation: Kumar Bhaskar Varman (600–650 CE) was the greatest and last reigning monarch of the Varman dynasty in the ancient Kamarupa Kingdom. He was a contemporary and close ally of the North Indian emperor Harshavardhana.
Explanation: The Tocklai Tea Research Institute was established in 1911 in Jorhat, Assam. It holds the distinction of being the oldest and largest dedicated tea research station globally, pioneering scientific developments in tea cultivation and manufacturing.
Explanation: The Hollong tree (Dipterocarpus retusus) is officially recognized as the state tree of Assam. It is a towering, magnificent tree dominating the canopy of Assam's tropical evergreen rainforests, particularly in Upper Assam.
Explanation: Established in 1958 at Baruah Bamungaon in the Golaghat district, the Assam Cooperative Sugar Mills Ltd. was the first cooperative sector sugar mill in Assam, marking a major milestone in the state's agro-industrial history.
Explanation: The Assam Legislative Assembly is a unicameral legislature consisting of 126 Members of Legislative Assembly (MLAs). These members are directly elected from 126 single-seat constituencies across the state.
Explanation: Kushan Nritya is one of the most popular and vibrant traditional folk dances of the Koch Rajbongshi community, particularly famous in undivided Goalpara district. It uses string instruments (Dotara) and vividly enacts episodes from the epic Ramayana.
Explanation: Located primarily in the Kokrajhar district, Chakrashila Wildlife Sanctuary is famous for being the second protected habitat specifically established for the highly endangered Golden Langur (Gee's golden langur), a primate endemic to this specific region of India and Bhutan.
Explanation: 'Joymoti' was released in 1935, making it the very first Assamese full-length feature film. It was produced and directed by the visionary cultural icon Jyoti Prasad Agarwala and was based on the tragic life of the Ahom princess Sati Joymoti.
Explanation: The Arundhati Gold Scheme aims to strengthen women's empowerment and encourage formal marriage registrations. Under the scheme, the state government provides direct financial assistance of Rs 40,000 (equivalent to approx 1 tola of gold) to eligible newlywed brides upon registering their marriage.
Explanation: Southern Assam (Cachar, Karimganj, and Hailakandi districts) forms the Barak Valley. The severe and recurring floods in this region are primarily caused by the massive overflow of the Barak River and its numerous tributaries during the heavy monsoon season.
Explanation: Akashiganga is a spectacular waterfall and a highly significant religious site located in the Nagaon district of Assam. According to Kalika Purana mythology, it is believed to be the spot where the head of Goddess Sati fell.
Explanation: Kushal Konwar was an ardent Gandhian and Indian independence activist. During the 1942 Quit India Movement, a British military train was derailed at Sarupathar. Kushal Konwar was falsely accused as the mastermind, convicted, and hanged by the British in 1943. He is the only martyr in the country who was hanged during the Quit India Movement.
Explanation: Numaligarh Refinery Limited (NRL), famously known as the "Accord Refinery," operates in Assam as a highly successful public sector joint venture between Oil India Limited (OIL), the Government of Assam, and previously Bharat Petroleum (now majorly owned by OIL).
Explanation: Syeda Anwara Taimur holds the historic distinction of being the first and only female Chief Minister of Assam. She assumed office in December 1980 and served until June 1981.
Explanation: KAAC stands for Karbi Anglong Autonomous Council. It is an autonomous district council in Assam, established under the Sixth Schedule of the Indian Constitution, explicitly created to safeguard the socio-cultural and political rights of the Karbi people and other indigenous tribes of the district.
Explanation: Introduced by the great Vaishnavite saint Srimanta Sankardeva, the 'Namghar' (literally meaning Prayer House) is the central socio-cultural and religious institution in an Assamese village. Beyond congregational prayer, it serves as a venue for Bhaona (traditional theatre), village meetings, and community dispute resolution.
Explanation: The first commercial oil discovery in India (and Asia) was made in Digboi, Assam. Digboi Well No. 1 was successfully drilled in the year 1889. The subsequent petroleum refinery at Digboi, which is the oldest operating refinery in Asia, was established later in 1901.
Explanation: The Chief Minister's Samagra Gramya Unnayan Yojana (CMSGUY) is a flagship scheme of the Assam Government launched with a massive budgetary outlay. Its primary objective is the holistic development of villages and explicitly doubling the farm income in the state.
Explanation: The Bongaigaon Refinery and Petrochemicals Limited (BRPL) was originally incorporated in 1974. Today, it operates as the 8th refinery of the Indian Oil Corporation Limited (IOCL) after its successful amalgamation with the parent company.
Explanation: The Qutub Minar is a towering 73-meter victory monument in Delhi. Its construction was initiated by Qutb-ud-din Aibak, the founder of the Delhi Sultanate, in 1192. However, he only built the basement. His son-in-law and successor, Shams-ud-din Iltutmish, constructed the subsequent three storeys.
Explanation: UPI stands for Unified Payments Interface. It is an instant real-time payment system developed by the National Payments Corporation of India (NPCI). It revolutionized digital transactions by enabling seamless inter-bank peer-to-peer (P2P) and person-to-merchant (P2M) transactions.
Explanation: Dr. Vikram Ambalal Sarabhai was an internationally renowned Indian physicist and astronomer. He was instrumental in establishing the Indian Space Research Organisation (ISRO) and is universally regarded as the Father of the Indian Space Programme. Note: Dr. Homi J. Bhabha is the father of the Indian Nuclear Programme.
Explanation: The Ramsar Convention (formally the Convention on Wetlands of International Importance) is an international treaty for the conservation and sustainable use of wetlands. It is named after the city of Ramsar in Iran, where the convention was signed in 1971.
Explanation: In the International System of Units (SI), the 'Farad' (symbol: F) is the standard unit of electrical capacitance, named after the pioneering English physicist Michael Faraday. It measures a capacitor's ability to store an electrical charge.
Explanation: Under Article 72 of the Indian Constitution, the President of India is granted the exclusive executive power to grant pardons, reprieves, respites, or remissions of punishment, particularly in all cases where the sentence is a sentence of death.
Explanation: Located in the western Pacific Ocean, the Mariana Trench is the deepest oceanic trench on Earth. Its maximum known depth is located at a small slot-shaped valley in its floor known as the Challenger Deep, reaching roughly 10,984 meters (about 36,000 feet) below sea level.
Explanation: Instituted in 1961, the Arjuna Award is India's second-highest sporting honor. It is awarded annually by the Ministry of Youth Affairs and Sports to outstanding sportspersons in recognition of exceptional performance, leadership, and discipline in National and International sports and games.
Explanation: These terms are iconic to racket sports, primarily Badminton. A 'Smash' is an attacking, downward hit; a 'Drop' is a soft shot that falls just over the net; and a 'Let' is a call made by the umpire to halt play and replay a point due to an unforeseen interruption.
Explanation: Created by Adobe in 1992, PDF stands for Portable Document Format. It is a file format standard used to present documents (including text formatting and images) reliably and independently of the application software, hardware, and operating systems.
Explanation: The Tenth Schedule was added to the Constitution by the 52nd Amendment Act of 1985. Popularly known as the Anti-Defection Law, it lays down the process by which legislators may be disqualified on grounds of defection by the Presiding Officer of a legislature.
Explanation: Warli painting is a form of tribal art predominantly created by the indigenous people residing in the mountainous and coastal areas of the North Sahyadri Range in Maharashtra. It is characterized by its use of basic geometric shapes (circles, triangles, and squares) painted in white on a red ochre background.
Explanation: The 50th G7 summit was successfully held from June 13 to 15, 2024, in Fasano, Apulia, Italy. The summit gathered leaders from the world's seven advanced economies to discuss pivotal issues like the Ukraine conflict, Artificial Intelligence, and global economic security.
Explanation: Arundhati Roy is a prominent Indian author and political activist. Her debut novel, "The God of Small Things," is a masterpiece of modern Indian English literature and won the prestigious Man Booker Prize for Fiction in 1997.
Explanation: The official currency of Brazil, the largest country in South America, is the Brazilian Real (plural: Reais). It was introduced in 1994 to stabilize the Brazilian economy during a period of hyperinflation.
Explanation: The Salt March, also known as the Dandi March, was an act of nonviolent civil disobedience led by Mahatma Gandhi. It began on March 12, 1930, protesting the oppressive British salt tax, and marked the start of the nationwide Civil Disobedience Movement.
Explanation: The femur, commonly known as the thigh bone, is the longest, heaviest, and strongest bone in the human body. It supports the weight of the body during standing and walking, extending from the hip to the knee.
Explanation: Article 84 of the Indian Constitution specifies the qualifications for membership of Parliament. A person must be at least 25 years of age to contest an election for the Lok Sabha (House of the People) and at least 30 years for the Rajya Sabha.
Explanation: Angel Falls, located in the dense jungles of the Guiana Highlands in Venezuela, is the world's highest uninterrupted waterfall. It has an astounding vertical drop of 979 meters (3,212 ft) and a plunge of 807 meters (2,648 ft).
Explanation: ROM stands for Read-Only Memory. It is a type of non-volatile computer memory containing data that normally can only be read, not written to. It contains the essential boot-up programming instructions (like the BIOS) required to start the computer.
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