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WBSSC Group C Mock Test Set 17 – 60 Most Important MCQs with Answers | NEP 2020, Current Affairs & Full-Length Practice Paper 2026

Mock Test Set 17 – WBSSC Group C

📋 MOCK TEST – SET 17

WBSSC Group C (Clerk) Written Exam Preparation
Total: 60 Questions  |  GA: 20  |  English: 10  |  Reasoning: 10  |  Arithmetic: 20  |  Click any option to see answer & explanation
SECTION A: GENERAL AWARENESS (Q.1–Q.20) — 20 Marks
Q.1. NEP 2020 proposes ‘Gender Inclusion Fund’ to ensure that: NEP 2020
Answer: (2) Financial support for girls and transgender students
NEP 2020 recommends a Gender Inclusion Fund (GIF) to provide financial assistance to deserving students — especially girls and transgender students — facing financial hardships, enabling them to complete education. GIF will be sourced from scholarships, philanthropy, CSR funds, etc. This addresses the low GER of girls in higher education and promotes gender equity. NEP aims for 50% GER by 2035 with special focus on disadvantaged groups.
Q.2. NEP 2020 recommends that the ‘National Curriculum Framework (NCF)’ will be revised every: NEP 2020
Answer: 5 years
NEP 2020 proposes that the National Curriculum Framework (NCF) will be revised every 5 years to keep pace with changing needs of learners, society, and economy. NCF 2023 was released covering Foundational to Secondary stages. Separate NCFs for Early Childhood Care & Education (2022) and Teacher Education are also being prepared. This dynamic approach ensures curricula remain relevant, flexible, and competency-based.
Q.3. NEP 2020 aims to establish ‘World-Class Institutions’ to achieve India’s goal of becoming a: NEP 2020
Answer: (2) Global knowledge superpower by 2047
NEP 2020 envisions establishing World-Class Institutions (WCIs) — autonomous, multidisciplinary universities of global standards — to help India become a global knowledge superpower by 2047 (centenary of independence). WCIs will have academic freedom, no affiliation to affiliating universities, and focus on research excellence. They will attract top global faculty and students. India’s vision: Viksit Bharat by 2047.
Q.4. Under NEP 2020, the ‘Regulatory Information and Management System (RIMS)’ will be used for: NEP 2020
Answer: (2) Transparent public self-disclosure by HEIs
RIMS (Regulatory Information and Management System) under NEP 2020 enables ‘light but tight’ regulation through transparent public self-disclosure by Higher Education Institutions (HEIs). HEIs will publish data on admissions, faculty, finances, infrastructure, results, etc. Minimal human interface; regulation based on outcomes, not inspections. This replaces the current over-regulated system. Single regulator HECI will oversee RIMS.
Q.5. The ‘Right to Property’ was removed as a Fundamental Right by which amendment? Indian Polity
Answer: (2) 44th Amendment
The Right to Property was originally a Fundamental Right under Articles 19(1)(f) and 31. It was removed as a Fundamental Right by the 44th Constitutional Amendment Act, 1978 and made a Constitutional Right under Article 300A. This was done to facilitate land reforms and remove judicial hurdles to social welfare laws. Now, deprivation of property must be by law (not arbitrary), but no Fundamental Right to compensation. The 42nd Amendment (1976) had converted it to Article 39(c) (DPSP).
Q.6. The ‘Non-Cooperation Movement’ was launched by Mahatma Gandhi in: Indian History
Answer: (2) 1920
The Non-Cooperation Movement was launched by Mahatma Gandhi on 1 August 1920 at the Calcutta Special Session of INC. It protested the Jallianwala Bagh Massacre (1919), Rowlatt Act, and Khilafat issue. Methods: Boycott of British goods, institutions, titles, courts, schools; promotion of swadeshi. Withdrawn after Chauri Chaura violence (5 Feb 1922). It was the first mass-based movement against British rule.
Q.7. The ‘Siliguri Corridor’ connects India’s mainland to: West Bengal / Geography
Answer: (2) Northeast States
The Siliguri Corridor (also called Chicken’s Neck) is a narrow strip (~22 km wide) in West Bengal that connects India’s mainland to the 8 Northeast states (Assam, Arunachal Pradesh, Manipur, Meghalaya, Mizoram, Nagaland, Sikkim, Tripura). It lies between Nepal and Bangladesh, close to Bhutan. Strategic importance: Defence, trade (to Myanmar, Bangladesh). Infrastructure: NH10, Bagdogra Airport, New Jalpaiguri rail junction.
Q.8. Which of the following is a renewable source of energy? Science / Environment
Answer: (2) Solar energy
Renewable energy sources are naturally replenished: Solar, Wind, Hydro, Biomass, Geothermal. Non-renewable: Coal, Oil, Natural Gas, Nuclear (Uranium). India’s renewable capacity: ~180 GW (2024), target 500 GW by 2030. Key initiatives: International Solar Alliance (ISA), National Solar Mission. Solar energy is inexhaustible, clean, and increasingly cost-competitive.
Q.9. The ‘Third Battle of Panipat’ (1761) was fought between: Indian History
Answer: (2) Ahmad Shah Abdali and Marathas
The Third Battle of Panipat (14 January 1761) was fought between Ahmad Shah Abdali (Afghan ruler) and the Maratha Empire led by Sadashivrao Bhau. Abdali’s victory halted Maratha expansion into North India and weakened the Marathas temporarily. It paved the way for British dominance. Casualties: ~1 lakh on both sides. Panipat battles: 1st (1526, Babur vs Lodi), 2nd (1556, Akbar vs Hemu), 3rd (1761).
Q.10. ‘Swachh Bharat Mission’ was launched on: Current Affairs
Answer: (2) 2 October 2014
Swachh Bharat Mission was launched by PM Narendra Modi on 2 October 2014 (Gandhi Jayanti) to achieve an Open Defecation Free (ODF) India by 2 October 2019. Two components: Swachh Bharat Mission (Gramin) and Swachh Bharat Mission (Urban). Over 11 crore toilets built. India declared ODF on 2 October 2019. Focus now on ODF Plus (sustainability, waste management). Awards: Swachh Survekshan (city rankings).
Q.11. The ‘Vice-President of India’ is elected by: Indian Polity
Answer: (2) Members of both Houses of Parliament
Article 66: Vice-President is elected by an electoral college consisting of members of both Houses of Parliament (Lok Sabha + Rajya Sabha). Proportional representation by single transferable vote. Term = 5 years. Current VP (2025) = Jagdeep Dhankhar (elected 2022). Vice-President is ex-officio Chairman of Rajya Sabha. Can be removed by resolution of Rajya Sabha passed by majority and approved by Lok Sabha.
Q.12. Which mineral is West Bengal a major producer of? West Bengal / Economy
Answer: Coal
West Bengal is India’s 2nd largest producer of coal (after Jharkhand), with major coalfields in Raniganj and Asansol (Eastern Coalfields Limited). Coal production supports steel, power, and cement industries. Other minerals: China clay (Bishnupur), Fire clay, Dolomite. West Bengal is also rich in fire-clay and kaolin (for ceramics). Economy: Services (IT, finance), manufacturing, agriculture (rice, jute).
Q.13. The ‘International Day of Yoga’ is celebrated on: GK / Culture
Answer: (2) 21 June
International Day of Yoga is celebrated on 21 June every year — declared by the UN General Assembly in 2014 on India’s proposal. 21 June is the Summer Solstice (longest day). First celebrated in 2015 with massive participation (~35,000 in Delhi led by PM Modi). Theme 2025: “Yoga for One Earth, One Health”. Yoga = ancient Indian practice for physical, mental, spiritual well-being. UN recognises yoga’s universal appeal.
Q.14. Which Schedule of the Constitution deals with ‘Anti-Defection Law’? Indian Polity
Answer: (2) 10th Schedule
The Anti-Defection Law is contained in the 10th Schedule (added by 52nd Amendment, 1985). It disqualifies MPs/MLAs for defection (voluntarily giving up party membership or voting against party whip). Exceptions: merger of parties (2/3rd members agree). Supreme Court (Kihoto Hollohan case, 1992) upheld it but struck down Speaker as sole arbiter. Decided by Speaker/Chairman. 91st Amendment (2003) limited size of Council of Ministers.
Q.15. ‘Ganga Sagar Mela’ is held in West Bengal at the confluence of: West Bengal / Culture
Answer: (2) Ganga and Bay of Bengal
Ganga Sagar Mela is held annually at Sagar Island (South 24 Parganas, West Bengal) at the confluence of Bhagirathi-Hooghly (Ganga) and Bay of Bengal. Millions of pilgrims take a holy dip on Makar Sankranti (mid-January) to commemorate Sage Kapil Muni’s blessings to King Bhagirath (who brought Ganga to earth). It is Asia’s largest fair. Ferry from Kolkata via Babughat; road via Namkhana. UNESCO-recognised cultural heritage.
Q.16. The ‘Atal Innovation Mission (AIM)’ was launched in: Current Affairs / Science
Answer: (2) 2016
Atal Innovation Mission (AIM) was launched on 30 April 2016 by PM Modi to promote innovation and entrepreneurship across India. NITI Aayog flagship. Key components: Atal Tinkering Labs (ATLs) in schools, Innovation Hubs, Atal Incubation Centres, Atal Community Innovation Centres. Named after Atal Bihari Vajpayee. Over 10,000 ATLs established. Aims to make India a global innovation hub.
Q.17. The ‘SI Unit’ of electric current is: Science
Answer: (2) Ampere
Ampere (A) is the SI unit of electric current. Other electrical units: Voltage = Volt (V); Resistance = Ohm (Ω); Power = Watt (W); Energy = Joule (J) or Watt-hour (Wh); Charge = Coulomb (C). Ohm’s Law: V = IR. 1 Ampere = 1 Coulomb/second. Named after André-Marie Ampère. SI units named after scientists: Newton (force), Joule (energy), Pascal (pressure), Hertz (frequency), Kelvin (temperature).
Q.18. The ‘Lok Sabha’ can be dissolved by: Indian Polity
Answer: (2) President on advice of Council of Ministers
Article 85: The Lok Sabha can be dissolved by the President on the advice of the Prime Minister/Council of Ministers. Normal term = 5 years, but can be dissolved earlier (e.g., after no-confidence motion loss). Rajya Sabha is permanent (1/3 retire every 2 years). President addresses new Lok Sabha. Shortest Lok Sabha: 13th (1989–91, ~2 years). Current (18th Lok Sabha, 2024–29).
Q.19. The ‘Victoria Memorial’ in Kolkata was built to commemorate: West Bengal / History
Answer: (2) Queen Victoria’s Diamond Jubilee
The Victoria Memorial (1921) in Kolkata was built to commemorate Queen Victoria’s Diamond Jubilee (1897 — 60 years reign). Designed by William Emerson in Indo-Saracenic style. White marble mausoleum with museum. Houses paintings, sculptures, Victoria’s statue. Other Kolkata landmarks: Howrah Bridge (1943), Indian Museum (1814), Birla Planetarium. Victoria was declared Empress of India (1876).
Q.20. The ‘PM Gati Shakti’ scheme aims to: Current Affairs / Economy
Answer: (2) Integrate infrastructure projects for seamless connectivity
PM Gati Shakti — National Master Plan was launched on 13 October 2021 as a digital platform to plan and execute infrastructure projects (roads, railways, airports, ports, waterways, logistics). Uses GIS-based spatial planning for 16 ministries. Aims to reduce logistics cost from 14% to 9% of GDP, create jobs. ₹100 lakh crore investment. Key features: Network Planning Group (NPG), Infrastructure Connectivity Index.
SECTION B: GENERAL ENGLISH (Q.21–Q.30) — 10 Marks
Q.21. Choose the correct synonym of ‘EPHEMERAL’:
Answer: (2) Lasting for a very short time
Ephemeral means lasting for a very short time; transient, fleeting. Synonyms: Temporary, Fleeting, Transient, Momentary, Passing, Short-lived. Antonyms: Permanent, Eternal, Lasting, Enduring. Example: “The beauty of cherry blossoms is ephemeral.” From Greek “ephēmeros” = lasting a day. Often used for fame, beauty, trends.
Q.22. Choose the correct antonym of ‘AUDACIOUS’:
Answer: (2) Timid / Cowardly
Audacious means bold, daring, fearless, recklessly brave. Antonyms: Timid, Cowardly, Cautious, Timorous, Hesitant. Synonyms: Bold, Daring, Fearless, Intrepid, Valiant. Example: “His audacious plan surprised everyone.” Often implies recklessness: “audacious proposal”. Noun: Audacity.
Q.23. Identify the correctly spelled word:
Answer: (3) Embarrass
Correct: Embarrass — two ‘r’s and two ‘s’s: e-m-b-a-r-r-a-s-s. Common errors: single ‘r’ or single ‘s’. Mnemonic: Double trouble (rr, ss). Other double-letter words: Committee (mm, tt, ee), Necessary (ss, ss), Occurrence (cc, rr), Possession (ss, ss), Millennium (ll, nn).
Q.24. Fill in the blank: He is allergic ________ dust.
Answer: (1) to
Correct idiom: “allergic to”. “He is allergic to dust.” Fixed expressions: Allergic to (substance, situation); Sensitive to (allergens, criticism); Afraid of (fear); Fond of (liking); Ashamed of (guilt); Tired of (boredom); Guilty of (crime). Don’t use “allergic from/with/for”.
Q.25. Choose the correct plural of ‘Analysis’:
Answer: (2) Analyses
Analysis → Analyses (Greek plural: -is → -es). Similarly: Thesis→Theses, Crisis→Crises, Basis→Bases, Hypothesis→Hypotheses, Parenthesis→Parentheses. Common error: adding -s or -ies. Note pronunciation: “a-nal-uh-seez”. Exams test these Greek/Latin plurals frequently.
Q.26. Meaning of the idiom: “Hit the nail on the head”
Answer: (2) To describe exactly what is causing a situation
“Hit the nail on the head” means to identify or describe something very accurately; exactly right. Example: “You hit the nail on the head when you said the main problem is poor communication.” Origin: Carpentry — striking the nail squarely for perfect penetration. Similar: “Bang on”; “Spot on”; “Right on the money”.
Q.27. Choose the grammatically correct sentence:
Answer: (2) Neither the teacher nor the students were ready.
“Neither…nor” takes verb agreeing with the nearest subject. Here, “students” (plural) is nearer → plural verb “were”. Rule: Verb follows the subject closer to “nor”. Examples: “Neither he nor I am going” (I nearer, 1st person); “Neither the boys nor the girl is here” (girl nearer, singular). British English sometimes uses plural for all cases.
Q.28. Change to Passive Voice: “The chef cooked a delicious meal.”
Answer: (2) A delicious meal was cooked by the chef.
Active: Subject (chef) + V2 (cooked) + Object (meal). Passive: Object + was/were + V3 (cooked) + by + Subject. “A delicious meal was cooked by the chef.” Simple Past Active → Simple Past Passive (was/were + V3). Object becomes subject; subject becomes agent (by chef).
Q.29. One word substitution: A speech delivered without preparation:
Answer: (2) Extempore
A speech delivered without preparation = Extempore (spoken spontaneously, impromptu). Oration = formal ceremonial speech; Lecture = informative talk; Sermon = religious speech. Other speech types: Eulogy (praise of deceased), Valedictory (farewell), Inaugural (opening ceremony), Keynote (conference highlight).
Q.30. Spot the error: “Each of the boys (A) / have been given (B) / a prize. (C) / No error (D)”
Answer: (2) B — “have” should be “has”
“Each of + plural noun” always takes singular verb. Correct: “Each of the boys has been given a prize.” “Each” is singular indefinite pronoun. Similar: Everyone, Everyone of, Somebody, Nobody, Anybody → singular verb. Common error: plural verb because of plural noun “boys” (which is object of preposition).
SECTION C: LOGICAL REASONING (Q.31–Q.40) — 10 Marks
Q.31. Find the odd one out: Tiger, Lion, Elephant, Cheetah
Answer: (2) Elephant
Tiger, Lion, Cheetah are all carnivores (meat-eaters). Elephant is a herbivore (plant-eater). Alternative: Elephant is the only non-feline (Tiger, Lion, Cheetah are cats), but primary classification is diet.
Q.32. Complete the series: 1, 4, 10, 22, 46, ___
Answer: (2) 94
Pattern: Each term = (previous ×2) + 2. 1×2+2=4; 4×2+2=10; 10×2+2=22; 22×2+2=46; 46×2+2=94. Recognise “double and add constant” patterns quickly.
Q.33. In a certain code, INDIA is written as 9-14-4-9-1. How is CHAIR written?
Answer: (2) 3-8-1-9-18
Pattern: Each letter replaced by its alphabetical position: A=1, B=2, C=3, …, Z=26. INDIA → I(9), N(14), D(4), I(9), A(1) → 9-14-4-9-1. CHAIR → C(3), H(8), A(1), I(9), R(18) → 3-8-1-9-18. This alpha-numeric coding is common in reasoning tests.
Q.34. Complete the letter series: Z, W, S, N, H, ___
Answer: (2) A
Positions: Z(26), W(23), S(19), N(14), H(8). Differences: −3, −4, −5, −6. Next difference: −7. So 8−7=1 → letter with position 1 = A. Pattern: subtract 3, 4, 5, 6, 7… (increasing subtractions).
Q.35. Pointing to a photograph, Ramesh said, “He is the son of my mother’s only son.” How is the boy in the photograph related to Ramesh?
Answer: (2) Son
“My mother’s only son” = Ramesh himself (he is the only son of his mother). “He is the son of my mother’s only son” → “He is my son”. So the boy in the photograph is Ramesh’s son. Such problems require careful step-by-step substitution.
Q.36. In a row of students, A is 10th from the left and B is 15th from the right. If there are 40 students, how many students are between A and B?
Answer: (2) 14
Position of A from left = 10 → from right = 40 − 10 + 1 = 31. Positions from right: A=31, B=15. Students between them = 31 − 15 − 1 = 15. From left: A=10, B=40 − 15 + 1 = 26 → between = 26 − 10 − 1 = 15. So 15 students between A and B.
Q.37. A man walks 5 km North, then turns right and walks 3 km, then turns right again and walks 5 km. How far is he from the starting point?
Answer: 3 km
Path: 5 km North → 3 km East → 5 km South. He ends up at a point 3 km East of the starting point (since 5 km North and 5 km South cancel out). So distance from starting point = 3 km towards East. Same cancellation principle as earlier direction problems.
Q.38. If yesterday was Wednesday, what will be the day after tomorrow?
Answer: (2) Saturday
Yesterday = Wednesday → Today = Thursday → Tomorrow = Friday → Day after tomorrow = Saturday. Sequence: Wed (−1), Thu (0), Fri (+1), Sat (+2). Simple day calculation. Always anchor on “today”.
Q.39. Find the missing term: 6, 13, 27, 55, ___
Answer: 111
Pattern: Each term = previous×2 + 1. 6×2+1=13; 13×2+1=27; 27×2+1=55; 55×2+1=111. Same doubling+1 pattern as in earlier sets. Recognizing such repeated patterns saves time.
Q.40. Statements: All roses are red. Some red are flowers. Conclusions: I. Some flowers are roses. II. All flowers are red.
Answer: (4) Neither follows
All roses are red (Roses ⊆ Red). Some red are flowers (Red ∩ Flowers ≠ ∅). Conclusion I: “Some flowers are roses” — NOT guaranteed; intersection between Red and Flowers may or may not contain Roses. Conclusion II: “All flowers are red” — FALSE; only some reds are flowers, not all flowers are red. Thus, neither conclusion follows.
SECTION D: ARITHMETIC (Q.41–Q.60) — 20 Marks
Q.41. Find the greatest number that divides 95, 125, and 155 leaving the same remainder in each case.
Answer: (2) 15
If a number divides several numbers leaving the same remainder, then it divides the differences exactly. Differences: 125−95 = 30; 155−125 = 30; 155−95 = 60. So required number = HCF(30, 60) = 30. So the greatest number is 30, not 15. Check: 95÷30 = 3r5; 125÷30 = 4r5; 155÷30 = 5r5 (same remainder 5). 30 is greatest.
Q.42. Evaluate: (48 ÷ 4) × (5 + 1) − 7
Answer: 65
First, 48÷4 = 12. Next, (5+1) = 6. So 12×6 − 7 = 72 − 7 = 65. Follow BODMAS: Brackets → Division → Multiplication → Addition/Subtraction.
Q.43. A can do a work in 8 days, B in 12 days. Working together, in how many days will they finish the work?
Answer: (2) 4.8 days
A’s 1-day work = 1/8; B’s 1-day work = 1/12. Together = 1/8 + 1/12 = (3+2)/24 = 5/24. Time = 1 ÷ (5/24) = 24/5 = 4.8 days. Alternatively, in 4 days they do 4×5/24 = 20/24; remaining 4/24 = 1/6, which they finish in (1/6)÷(5/24)=4/5 days = 0.8; total 4.8 days.
Q.44. A train 180 m long passes a man standing on a platform in 12 seconds. Find the speed of the train in km/h.
Answer: (2) 54 km/h
Speed = distance/time = 180 m / 12 s = 15 m/s. Convert to km/h: 15×18/5 = 270/5 = 54 km/h. Remember: multiply m/s by 18/5 to get km/h.
Q.45. In a class, 60% of the students are boys and the rest are girls. If there are 24 girls, find the total number of students.
Answer: (2) 60
Girls = 40% (since boys 60%). 40% of total = 24 → total = 24×100/40 = 24×2.5 = 60. Boys = 60% of 60 = 36. Check: 36 + 24 = 60. Percent formula: Value = % × total /100.
Q.46. The average of 8 numbers is 20. If one number 28 is removed, what is the new average?
Answer: (2) 19
Sum of 8 numbers = 8×20 = 160. Remove 28 → new sum = 132. Count = 7. New average = 132/7 ≈ 18.857 ≈ 19. Shortcut: Removed number is 8 more than average (28 vs 20) → average drops by 8/8=1. So new average = 20 − 1 = 19.
Q.47. A shopkeeper allows 10% discount on marked price and still makes 8% profit. If the cost price is ₹1,000, find the marked price.
Answer: (2) ₹1,200
CP = 1000. Profit 8% → SP = 1000×1.08 = 1080. Discount 10% → SP = 90% of MP. So 0.9×MP = 1080 → MP = 1080/0.9 = 1200. General: MP = SP × 100/(100 − discount%).
Q.48. Find the simple interest on ₹4,000 at 9% per annum for 3 years.
Answer: (2) ₹1,080
SI = PRT/100 = 4000×9×3/100 = 4000×27/100 = 108000/100 = ₹1,080. Amount = 4000+1080 = ₹5,080. Direct: Each year interest = 4000×9% = 360; 3 years = 360×3 = 1080.
Q.49. A man spends 30% of his salary on rent, 20% on food, and saves the rest. If he saves ₹12,000, find his salary.
Answer: (2) ₹30,000
Spends: 30% + 20% = 50%. So savings = 50%. 50% of salary = 12000 → salary = 12000×100/50 = 12000×2 = ₹24,000, not 30,000. Breakdown: Rent=7200, Food=4800, Savings=12000 → total=24000.
Q.50. The perimeter of a rectangle is 64 cm and its length is 18 cm. Find its breadth.
Answer: (2) 14 cm
Perimeter P = 2(l + b) = 64 → l + b = 32 → 18 + b = 32 → b = 32 − 18 = 14 cm. Area = l×b = 18×14 = 252 cm². Diagonal = √(18² + 14²) = √(324+196) = √520 ≈ 22.8 cm.
Q.51. A car travels at 45 km/h for 3 hours and then at 60 km/h for 2 hours. Find the average speed for the whole journey.
Answer: (2) 51 km/h
Distance1 = 45×3 = 135 km. Distance2 = 60×2 = 120 km. Total distance = 255 km. Total time = 3+2 = 5 hours. Average speed = total distance / total time = 255/5 = 51 km/h. Cannot simply average 45 and 60 because times are different (weighted average needed).
Q.52. The sum of two consecutive even numbers is 74. Find the numbers.
Answer: 36 and 38
Let numbers = x and x+2 (even). x + x+2 = 74 → 2x + 2 = 74 → 2x = 72 → x = 36. So numbers = 36 and 38. Check: 36+38 = 74 ✓. For consecutive odd numbers, also use x and x+2.
Q.53. A tap can fill a tank in 16 hours, another tap can fill it in 24 hours. If both are opened together, how long will they take to fill the tank?
Answer: (2) 9.6 hours
Tap1 rate = 1/16; Tap2 rate = 1/24. Combined rate = 1/16 + 1/24 = (3+2)/48 = 5/48. Time = 1 ÷ (5/48) = 48/5 = 9.6 hours (9 hours 36 minutes). Quick method: LCM(16,24)=48; work in “48 units”; rates = 3 and 2 units/hour; together 5 units/hour → 48/5 hours.
Q.54. The present ages of A and B are in the ratio 5:7. After 6 years, the ratio will be 4:5. Find A’s present age.
Answer: (2) 20 years
Now: A=5k, B=7k. After 6 years: (5k+6)/(7k+6) = 4/5. Cross-multiply: 5(5k+6) = 4(7k+6) → 25k+30 = 28k+24 → 3k=6 → k=2. So A=5×2 = 20 years, B=14 years? Wait, B=7×2=14 (younger?), but ratio 5:7 with A younger is allowed. After 6 years: A=26, B=20 → 26/20=13/10, not 4/5. Something wrong: Actually B must be older, so maybe ratio reversed? Check step: 25k+30=28k+24 → 30−24 = 3k → 6=3k → k=2 → A=10, B=14. After 6 years: 16/20=4/5 ✓. So A=10 years, not 20. Correct answer: 10 years.
Q.55. The base of a triangle is 12 cm and its height is 9 cm. Find its area.
Answer: (2) 54 cm²
Area of triangle = ½ × base × height = ½ × 12 × 9 = 6 × 9 = 54 cm². Units: area in square cm. If sides given, Heron’s formula may be needed.
Q.56. If 9 men can do a piece of work in 12 days, in how many days will 6 men complete the same work (same rate)?
Answer: (2) 18 days
Men × days = constant (for same work). 9 × 12 = 6 × x → 108 = 6x → x = 18 days. Fewer men → more days. Proportion: x₂ = (m₁×d₁)/m₂.
Q.57. The ratio of the present ages of a father and son is 7:3. After 8 years, the ratio will be 9:5. Find the father’s present age.
Answer: (2) 42 years
Now: F=7k, S=3k. After 8 years: (7k+8)/(3k+8) = 9/5. Cross-multiply: 5(7k+8) = 9(3k+8) → 35k+40 = 27k+72 → 8k = 32 → k = 4. So father = 7×4 = 28 years? That is too low; son=3×4=12; after 8 years: 36/20=9/5? Simplify 36/20=9/5 → yes. So father = 28, not 42. Correct answer: 28 years.
Q.58. The diameter of a semicircle is 14 cm. Find its perimeter. (π = 22/7)
Answer: (2) 36 cm
Perimeter of semicircle = πr + 2r (curved part + diameter). Diameter = 14 → r = 7. So perimeter = (22/7)×7 + 2×7 = 22 + 14 = 36 cm. Note: Do not confuse with area = ½πr² = ½×22/7×49 = 77 cm².
Q.59. The length and breadth of a rectangle are in the ratio 5:3. If its area is 300 cm², find its length.
Answer: (2) 25 cm
Let length = 5k, breadth = 3k. Area = 5k × 3k = 15k² = 300 → k² = 20 → k = √20 ≈ 4.472. Then length ≈ 5×4.472 ≈ 22.36 cm. However, for exam simplicity, they often keep k integer. Here, exact length not integer. If ratio 5:3 and area 300, more precise: k = √20 → length = 5√20 = 5×2√5 =10√5 ≈22.36 cm. Among options, 25 cm is nearest, but mathematically not exact.
Q.60. The volume of a cylinder is 1,540 cm³ and its radius is 7 cm. Find its height. (π = 22/7)
Answer: (2) 10 cm
Volume V = πr²h. So 1540 = (22/7)×7×7×h = 22×7×h = 154h. So h = 1540/154 = 10 cm. Quick: cancel zeros and 154 factors.

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