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WBSSC Group C Mock Test Set 11 – 60 Important MCQs with Answers | NEP 2020, Current Affairs & Maths Practice 2026

Mock Test Set 11 – WBSSC Group C

📋 MOCK TEST – SET 11

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 recommends that the Board Examinations should be restructured so that students can appear: NEP 2020
Answer: (2) Twice a year, with best score counted
NEP 2020 recommends that Board Exams should be held twice a year to reduce one-time stress, allowing students to appear and have their best score counted. The exams will test core competencies and higher-order thinking rather than rote memorization. NEP also proposes modular Board Exams and the use of Artificial Intelligence to offer personalized assessments. This aims to reduce exam anxiety among students significantly.
Q.2. According to NEP 2020, what percentage of public investment in education should India aim for as a share of GDP? NEP 2020
Answer: (3) 6%
NEP 2020 recommends increasing public investment in education to 6% of GDP as soon as possible. Currently, India spends about 4.3% of GDP on education. NEP also emphasizes that education spending should be 10% of total government expenditure. The Kothari Commission (1964–66) had first recommended 6% of GDP for education. Achieving this target is seen as essential for the transformation of India’s education system.
Q.3. NEP 2020 proposes ‘PARAKH’ as a new national body. What does PARAKH stand for? NEP 2020
Answer: (2) Performance Assessment, Review and Analysis of Knowledge for Holistic Development
PARAKH (Performance Assessment, Review and Analysis of Knowledge for Holistic Development) is a national assessment centre proposed under NEP 2020, set up under NCERT. It was established in 2023. PARAKH’s functions include: setting norms for student assessment, developing national achievement surveys, guiding state assessment bodies, and reducing over-reliance on marks. It replaces no single exam but standardizes assessment practices across India.
Q.4. NEP 2020 introduces ‘Foundational Literacy and Numeracy (FLN)’ mission. By which year does it aim to achieve universal FLN? NEP 2020
Answer: (2) 2026–27
NEP 2020 identifies Foundational Literacy and Numeracy (FLN) as the most urgent priority. It mandated achieving universal FLN for all students by Grade 3 by 2026–27. The NIPUN Bharat Mission (National Initiative for Proficiency in Reading with Understanding and Numeracy) was launched in July 2021 to achieve this goal. NIPUN Bharat targets that every child up to Grade 3 should have basic reading, writing, and arithmetic skills by 2026–27.
Q.5. The ‘Swachh Bharat Mission’ was launched on: Current Affairs / GK
Answer: (2) 2 October 2014
The Swachh Bharat Mission (Clean India Mission) was launched by PM Modi on 2 October 2014 — the birth anniversary of Mahatma Gandhi. The mission aimed to make India open-defecation free (ODF) by 2 October 2019 (Gandhi’s 150th birth anniversary). Swachh Bharat Mission-Gramin (rural) and SBM-Urban are its two components. Over 11 crore toilets were built. India was declared ODF in 2019. Phase 2 (2020–25) focuses on ODF sustainability and solid waste management.
Q.6. India’s first woman Prime Minister was: Indian History / GK
Answer: (2) Indira Gandhi
Indira Gandhi was India’s first and only female Prime Minister. She served as PM for two terms: 1966–1977 and 1980–1984. She was the daughter of Jawaharlal Nehru. Key events during her tenure: Green Revolution, 1971 India-Pakistan War, creation of Bangladesh, Emergency (1975–77), Operation Blue Star (1984). She was assassinated on 31 October 1984. Pratibha Patil was India’s first female President (2007–12). Sarojini Naidu was India’s first female Governor.
Q.7. The ‘Digital India’ programme was launched in: Current Affairs / GK
Answer: (3) 2015
The Digital India Programme was launched by PM Narendra Modi on 1 July 2015. It has three core components: (1) Digital Infrastructure as a Utility for Every Citizen, (2) Governance and Services on Demand, (3) Digital Empowerment of Citizens. Key pillars include broadband connectivity, mobile connectivity, public internet access, e-Governance, e-Kranti, and IT for jobs. 1 July is celebrated as Digital India Day. The programme is overseen by the Ministry of Electronics and IT (MeitY).
Q.8. The Headquarters of World Health Organization (WHO) is in: GK / International
Answer: (2) Geneva, Switzerland
The World Health Organization (WHO) headquarters is in Geneva, Switzerland. WHO was established on 7 April 1948 (World Health Day). Current DG: Dr. Tedros Adhanom Ghebreyesus (Ethiopia, since 2017). Key UN body HQs: UN = New York; WHO = Geneva; UNESCO = Paris; IMF/World Bank = Washington D.C.; ILO = Geneva; FAO = Rome; UNICEF = New York; WTO = Geneva; ICC = The Hague.
Q.9. The Constituent Assembly of India adopted the Constitution on: Indian Polity
Answer: (3) 26 November 1949
The Constitution of India was adopted by the Constituent Assembly on 26 November 1949 — celebrated as Constitution Day (Samvidhan Diwas) since 2015. It came into full effect on 26 January 1950 (Republic Day). The Constitution was drafted over 2 years, 11 months, and 18 days. Dr. B.R. Ambedkar was the Chairman of the Drafting Committee. It originally had 395 Articles, 8 Schedules, and 22 Parts.
Q.10. ‘Project Tiger’ was launched in India in: Environment / GK
Answer: (3) 1973
Project Tiger was launched by PM Indira Gandhi on 1 April 1973 at Jim Corbett National Park, Uttarakhand — the first tiger reserve. It was established to protect the declining Bengal Tiger population. India’s tiger count was only ~1,827 in 1972; the 2022 census showed 3,167 tigers — the highest in the world (75% of world’s tigers). India has 54 tiger reserves covering 18 states. Project Tiger is managed by the National Tiger Conservation Authority (NTCA).
Q.11. The ‘Make in India’ initiative was launched in: Current Affairs / GK
Answer: (3) 2014 (September)
The Make in India initiative was launched by PM Modi on 25 September 2014 in New Delhi. Its logo is a walking lion made of cogs. It aims to transform India into a global manufacturing hub, increase FDI, and create jobs. It covers 25 sectors initially (now expanded to 27). The lion logo symbolises strength, courage, and made-in-India engineering. It has helped increase India’s manufacturing GDP share and attracted billions in FDI.
Q.12. Which planet in our Solar System has the highest number of moons? Science / GK
Answer: (2) Saturn
Saturn has the most moons in our solar system — 146 confirmed moons (as of 2023 discoveries). It overtook Jupiter which has 95 moons. Saturn’s largest moon, Titan, is the second largest moon in the solar system and has a thick atmosphere. Saturn is also known for its spectacular ring system. Moon count: Saturn=146, Jupiter=95, Uranus=28, Neptune=16. Earth has 1 moon; Mars has 2 (Phobos & Deimos).
Q.13. Durand Line is the border between: Geography / GK
Answer: (3) Pakistan and Afghanistan
The Durand Line is the 2,670 km border between Pakistan and Afghanistan, established in 1893 by Sir Mortimer Durand and Afghan Emir Abdur Rahman Khan. Afghanistan has never officially recognized it. Key international borders: India-Pakistan = Radcliffe Line; India-China = McMahon Line (north-east); India-China (north-west) = Line of Actual Control (LAC); USA-Canada = 49th Parallel; North-South Korea = 38th Parallel.
Q.14. Which Article of the Indian Constitution abolishes ‘Untouchability’? Indian Polity
Answer: (3) Article 17
Article 17 of the Indian Constitution abolishes untouchability and forbids its practice in any form. Its enforcement is a criminal offence under the Protection of Civil Rights Act, 1955 (earlier Untouchability Offences Act). Related Articles: Art.14=Equality before law; Art.15=No discrimination on grounds of religion, race, caste, sex; Art.16=Equal opportunity in public employment; Art.18=Abolition of titles.
Q.15. The ‘Kaziranga National Park’, famous for one-horned rhinoceros, is located in: Geography / GK
Answer: (3) Assam
Kaziranga National Park is in Assam (Golaghat and Nagaon districts), on the southern bank of Brahmaputra. It is a UNESCO World Heritage Site (1985) and harbours two-thirds of the world’s one-horned rhinoceros population. It also has tigers, elephants, wild water buffalo, and swamp deer. West Bengal’s national park: Sundarbans (Royal Bengal Tiger). Odisha: Simlipal National Park.
Q.16. COP30 (2025 UN Climate Summit) is scheduled to be held in: Current Affairs / Environment
Answer: (3) Belém, Brazil
COP30 (30th UN Climate Change Conference) is scheduled in Belém, Brazil in November 2025. Belém is the gateway to the Amazon rainforest — a symbolic location for climate talks. COP28 was held in Dubai, UAE (2023); COP29 in Baku, Azerbaijan (2024). COP stands for Conference of Parties under the UNFCCC (United Nations Framework Convention on Climate Change). India’s net-zero target: 2070.
Q.17. The term ‘GDP’ stands for: Economy / GK
Answer: (3) Gross Domestic Product
GDP (Gross Domestic Product) is the total monetary value of all goods and services produced within a country’s borders in a specific time period (usually a year/quarter). It is the most widely used measure of economic size and growth. GDP = C + I + G + (X−M) (Consumption + Investment + Government spending + Net Exports). India’s GDP (2024–25): ~$3.9 trillion. India is the 5th largest economy by nominal GDP (after USA, China, Germany, Japan).
Q.18. ‘Saffron’ is primarily cultivated in India in: Geography / Agriculture
Answer: (2) Jammu & Kashmir (Pampore region)
Saffron (Kesar), the world’s most expensive spice, is primarily cultivated in the Pampore region of Kashmir (J&K), also called the “Saffron Bowl of India.” Kashmiri saffron has a GI (Geographical Indication) tag. India is among the top saffron producers globally. The PM Saffron Mission has been launched to revive and modernize saffron cultivation in Kashmir. Saffron is extracted from the Crocus sativus flower’s stigmas.
Q.19. Which of the following is a Directive Principle of State Policy (DPSP) under the Indian Constitution? Indian Polity
Answer: (4) Equal pay for equal work (Art.39)
Article 39(d) — “Equal pay for equal work for both men and women” — is a Directive Principle of State Policy (DPSP) under Part IV of the Constitution. DPSPs are non-justiciable (not enforceable by courts) but fundamental to governance. Articles 14, 19, and 32 are Fundamental Rights (Part III) which ARE justiciable. Other DPSPs: Art.45 (free education for children), Art.40 (village panchayats), Art.44 (Uniform Civil Code).
Q.20. NEP 2020 proposes ‘Multidisciplinary Education’ in higher education. What does this mean? NEP 2020
Answer: (3) Students can study subjects across streams
NEP 2020 promotes Multidisciplinary Education — breaking down rigid stream separations. Students in higher education (and even schools from Grade 11) can combine subjects freely: e.g., Physics with Music, History with Computer Science, Biology with Economics. This aligns Indian education with global liberal arts models. NEP envisions all HEIs becoming multidisciplinary by 2040. It also recommends sports, yoga, and arts as mainstream subjects — not extracurricular.
SECTION B: GENERAL ENGLISH (Q.21–Q.30) — 10 Marks
Q.21. Choose the correct synonym of ‘VERBOSE’:
Answer: (2) Wordy / Using too many words
Verbose means using or expressed in more words than are needed; excessively wordy. Synonyms: Wordy, Long-winded, Garrulous, Loquacious, Prolix, Rambling. Antonyms: Concise, Brief, Succinct, Terse, Laconic. Example: “His verbose reply confused everyone.” Related noun: Verbosity. From Latin verbum = word. Opposite: Laconic (using very few words, from Laconians/Spartans who were famously brief).
Q.22. Choose the correct antonym of ‘SOLEMN’:
Answer: (3) Cheerful / Frivolous
Solemn means formal and dignified; deeply serious. Antonyms: Cheerful, Frivolous, Jovial, Light-hearted, Merry, Playful. Synonyms: Serious, Grave, Earnest, Sober, Staid. Example: “The solemn ceremony ended; everyone turned cheerful.” Common collocations: solemn promise, solemn occasion, solemn vow. The word often describes serious religious or official events.
Q.23. Identify the correctly spelled word:
Answer: (4) Necessary
Correct spelling: Necessary. Memory trick: “One Collar, Two Socks” — 1 ‘c’ and 2 ‘s’: Ne-C-es-S-ary. Common misspellings: “neccessary” (double c), “necesary” (single s), “neccesary” (double c, single s). Related words: Necessarily, Necessity, Unnecessary. One of the most commonly misspelled words in English competitive exams.
Q.24. Fill in the blank: The committee consists ________ five members.
Answer: (3) of
The correct phrase is “consists of”. “The committee consists of five members.” Similarly: Composed of, Comprised of, Made up of, Consisting of. Common error: “consists with” or “consists by” — both wrong. Other preposition pairs to remember: Indifferent to; Identical with/to; Guilty of; Interfere in/with; Responsible for; Afraid of; Proud of; Tired of.
Q.25. The plural of ‘Ox’ is:
Answer: (3) Oxen
Ox → Oxen (irregular plural — old English -en ending). Other irregular plurals ending in -en: Child→Children, Brother→Brethren (religious context). Common irregular plurals: Man→Men, Woman→Women, Mouse→Mice, Goose→Geese, Tooth→Teeth, Foot→Feet, Louse→Lice, Die→Dice, Ox→Oxen. Also: Sheep→Sheep (same), Deer→Deer (same), Fish→Fish/Fishes.
Q.26. Identify the meaning of the idiom: “Spill the beans”
Answer: (2) To reveal secret information accidentally
“Spill the beans” means to accidentally or prematurely reveal secret or confidential information. Example: “Don’t spill the beans about her surprise party.” Similar idioms: “Let the cat out of the bag” (reveal a secret unintentionally), “Blow the whistle” (reveal wrongdoing), “Give the game away” (unintentionally reveal a secret). These idioms often appear in the WBSSC English section.
Q.27. Choose the grammatically correct sentence:
Answer: (2) He has been working for three hours.
Rule: Use “for” with a period/duration of time (three hours, two days, a week). Use “since” with a point of time (2 o’clock, Monday, 1990). “For three hours” ✓ (duration). “Since 9 AM” ✓ (point). Common errors: “since three hours” (wrong — three hours is a duration, not a point); “for three hours ago” (never use ‘ago’ with Present Perfect). Present Perfect Continuous = has/have + been + V+ing.
Q.28. Convert to Active Voice: “The book was written by Tagore.”
Answer: (3) Tagore wrote the book.
Passive (Simple Past): was/were + V3. “The book was written by Tagore.” → Active (Simple Past): Subject + V2 + Object. “Tagore wrote the book.” The agent “by Tagore” becomes the subject. Tense: Simple Past Passive → Simple Past Active. “Has written” = Present Perfect (wrong tense); “is writing” = Present Continuous (wrong tense). Always identify the tense of the passive form before converting.
Q.29. One word substitution: A person who pretends to be what he is not:
Answer: (3) Hypocrite
A person who pretends to be virtuous or holds beliefs they don’t actually have = Hypocrite. Related noun: Hypocrisy. Other important one-word substitutions: One who eats everything = Omnivore; One who eats only vegetables = Vegetarian/Herbivore; One who walks in sleep = Somnambulist; One who loves books = Bibliophile; One who hates women = Misogynist; One who hates men = Misandrist; One who cannot read/write = Illiterate.
Q.30. Spot the error: “The news (A) / about the accident (B) / are very (C) / disturbing. (D)”
Answer: (3) C — “are” should be “is”
“News” is an uncountable noun (plural in form but singular in meaning) — it always takes a singular verb. Correct: “The news about the accident is very disturbing.” Similar nouns (look plural but take singular verb): News, Physics, Mathematics, Economics, Politics, Ethics, Athletics, Innings, Means (when referring to a single way). Common error: treating ‘news’ as plural because of the ‘s’. Always remember: “No news is good news.”
SECTION C: LOGICAL REASONING (Q.31–Q.40) — 10 Marks
Q.31. Find the odd one out: Cobra, Python, Crocodile, Viper
Answer: (3) Crocodile
Cobra, Python, and Viper are all snakes (reptiles of order Squamata, suborder Serpentes). Crocodile is a reptile of order Crocodilia — not a snake. It is the odd one out. All four are reptiles, but only Crocodile is not a snake. Crocodiles have four legs; snakes have no legs. Crocodiles lay eggs in nests; snakes either lay eggs or give birth to live young depending on species.
Q.32. Complete the series: 1, 4, 9, 16, 25, ___
Answer: (4) 36
Pattern: Perfect squares. 1²=1, 2²=4, 3²=9, 4²=16, 5²=25, 6²=36. This is the sequence of square numbers. Differences: 3,5,7,9,11 (odd numbers increasing by 2). Both patterns confirm 36. Perfect squares are among the most common patterns in reasoning series questions. Memorize: 1,4,9,16,25,36,49,64,81,100,121,144.
Q.33. In a code language, FLOWER = EMNVDQ. What is the code for GARDEN?
Answer: FZQCDM
FLOWER→EMNVDQ: F(6)→E(5)=−1; L(12)→M(13)=+1; O(15)→N(14)=−1; W(23)→V(22)=−1; E(5)→D(4)=−1; R(18)→Q(17)=−1. Pattern: mostly −1 except L→M(+1). Recheck: F→E(−1), L→M(+1), O→N(−1), W→V(−1), E→D(−1), R→Q(−1). Alternating −1,+1,−1,−1,−1,−1? Not clean. Let’s try each −1: GARDEN: G(7)→F(6), A(1)→Z(26), R(18)→Q(17), D(4)→C(3), E(5)→D(4), N(14)→M(13) = FZQCDM. Here A−1 wraps to Z. Answer: FZQCDM.
Q.34. Complete the series: 3, 6, 11, 18, 27, ___
Answer: 38
Differences: 6−3=3, 11−6=5, 18−11=7, 27−18=9, next difference=11. So 27+11=38. Pattern: differences are consecutive odd numbers (3,5,7,9,11…). Alternatively: 3=1²+2; 6=2²+2; 11=3²+2; 18=4²+2; 27=5²+2; 38=6²+2=36+2=38 ✓. Both methods confirm 38.
Q.35. Sita’s mother is the only daughter of Geeta’s father. How is Geeta related to Sita?
Answer: (3) Mother
“Geeta’s father’s only daughter” = Geeta herself. So Sita’s mother = Geeta. Therefore Geeta is Sita’s mother. This is a classic misdirection — “only daughter of X’s father” = X herself. Key insight: “X’s father’s daughter (if only one) = X.” So Sita’s mother = Geeta → Geeta is Sita’s mother.
Q.36. In a class of 50, Asha is 20th from the top. Meena is 10 ranks below Asha. What is Meena’s rank from the bottom?
Answer: (3) 21
Asha’s rank from top = 20. Meena is 10 ranks below = 20+10 = 30th from top. Meena’s rank from bottom = 50−30+1 = 21. Formula: Rank from bottom = (Total+1) − Rank from top = 51−30 = 21. Verify: 30th from top + 21st from bottom = 51 = 50+1 ✓.
Q.37. A clock shows 3:30. What is the angle between the hour and minute hands?
Answer: (3) 75°
At 3:30 — Minute hand: 30 min × 6°/min = 180° (pointing at 6). Hour hand: At 3:00 it is at 90° (3×30°). In 30 min it moves 30×0.5° = 15° extra. So hour hand at 3:30 = 90°+15° = 105°. Angle between hands = 180°−105° = 75°. Formula: Angle = |30H − 5.5M| degrees, where H=hours, M=minutes. = |30×3 − 5.5×30| = |90−165| = 75°.
Q.38. Mirror Image: If the word MASTER is seen in a mirror, which of these represents its mirror image?
Answer: Mirror image of MASTER = RETSAM (letters reversed)
In a mirror image, the left-right positions are reversed. MASTER reversed = RETSAM. Additionally, each individual letter also gets mirrored horizontally. For exam purposes: the word reads backwards in a vertical mirror. M-A-S-T-E-R → R-E-T-S-A-M. This concept tests spatial reasoning — imagine holding text up to a mirror.
Q.39. Pen is to Writer as Scalpel is to:
Answer: (3) Surgeon
A Pen is the primary tool of a Writer. Similarly, a Scalpel (a small, sharp surgical knife) is the primary tool of a Surgeon. Relationship: Tool → Professional who uses it. More tool-profession analogies: Stethoscope→Doctor; Trowel→Mason; Chisel→Carpenter/Sculptor; Wrench/Spanner→Mechanic/Plumber; Easel→Painter; Gavel→Judge/Auctioneer.
Q.40. Statements: All roses are flowers. Some flowers are red. Conclusions: I. Some roses are red. II. All flowers are roses.
Answer: (4) Neither I nor II follows
Statement 1: All roses are flowers (roses ⊂ flowers). Statement 2: Some flowers are red (partial overlap). Conclusion I — “Some roses are red”: NOT necessarily true. The red flowers may not include any roses. Conclusion II — “All flowers are roses”: DEFINITELY false. Flowers include roses plus more. Neither conclusion follows logically. This tests careful Venn diagram thinking — just because roses are flowers and some flowers are red, doesn’t mean any rose must be red.
SECTION D: ARITHMETIC (Q.41–Q.60) — 20 Marks
Q.41. Find the LCM and HCF of 12 and 18. Then verify: LCM × HCF = Product of numbers.
Answer: (2) LCM=36, HCF=6
12=2²×3; 18=2×3². HCF=2×3=6. LCM=2²×3²=4×9=36. Verify: LCM×HCF = 36×6 = 216 = 12×18 ✓. Key property: For any two numbers, LCM × HCF = Product of the two numbers. This property is ONLY valid for two numbers (not three or more). Frequently used to find LCM if HCF is given, or vice versa.
Q.42. Simplify: 5 + 3 × 8 ÷ 4 − 2²
Answer: (3) 7
BODMAS: Orders first: 2²=4. Then ×÷ left to right: 3×8=24; 24÷4=6. Then +−: 5+6−4=7. Full: 5 + 3×8÷4 − 2² = 5 + 24÷4 − 4 = 5 + 6 − 4 = 7. Remember BODMAS order: Brackets, Orders (powers/roots), Division, Multiplication, Addition, Subtraction. Multiplication and Division have equal priority — do left to right.
Q.43. 12 men can do a piece of work in 15 days. How many men are needed to complete the same work in 9 days?
Answer: (3) 20
Total work = 12×15 = 180 man-days. Men needed for 9 days = 180÷9 = 20. Formula (inverse proportion): M₁×D₁ = M₂×D₂ → 12×15 = M₂×9 → M₂ = 180/9 = 20. Rule: More men → fewer days needed (inverse proportion). Verify: 20×9 = 180 man-days ✓.
Q.44. Two trains of length 120 m and 80 m are running towards each other at 60 km/h and 40 km/h. In how many seconds will they cross each other?
Answer: (3) 7.2 sec
Trains moving towards each other → relative speed = 60+40 = 100 km/h = 100×5/18 = 250/9 m/s. Total distance = 120+80 = 200 m. Time = 200 ÷ (250/9) = 200×9/250 = 1800/250 = 7.2 sec. Key: When trains move in opposite directions, add speeds. When same direction, subtract. Distance to cross = sum of both train lengths.
Q.45. The ages of A and B are in ratio 5:3. After 6 years their ages will be in ratio 7:5. Find A’s present age.
Answer: (3) 15 years
A=5k, B=3k. After 6 years: (5k+6)/(3k+6) = 7/5. Cross multiply: 5(5k+6)=7(3k+6) → 25k+30=21k+42 → 4k=12 → k=3. A = 5×3 = 15 years. B = 9 years. Verify: After 6 years: A=21, B=15. Ratio=21:15=7:5 ✓.
Q.46. The average age of a family of 6 members is 25 years. If the youngest member is 5 years old, what was the average age of the family just before the youngest was born?
Answer: (3) 24
Current total age = 6×25 = 150 years. 5 years ago, the youngest wasn’t born. 5 years ago, the other 5 members were each 5 years younger: their total = 150 − 5 (youngest’s age) − 5×5 (5 years less for each of 5 members) = 150−5−25 = 120. Average of 5 members = 120÷5 = 24 years.
Q.47. A trader bought goods at 20% discount on marked price and sold at 20% above marked price. Find the profit percentage.
Answer: (3) 50%
Let MP = 100. CP = 100−20 = ₹80 (20% discount on MP). SP = 100+20 = ₹120 (20% above MP). Profit = 120−80 = ₹40. Profit% = (40/80)×100 = 50%. Remember: Profit% is always on CP. SP−CP = 40; CP = 80; Profit% = 40/80 × 100 = 50%.
Q.48. The difference between CI and SI on ₹5000 at 8% for 2 years is:
Answer: (3) ₹32
Formula (2 years): CI−SI = P×(r/100)² = 5000×(8/100)² = 5000×0.0064 = ₹32. Verify: SI=5000×8×2/100=₹800. CI: A=5000×(1.08)²=5000×1.1664=₹5832; CI=₹832. Difference=832−800=₹32 ✓. This shortcut formula (P×r²/10000) saves time in exams for 2-year problems.
Q.49. A number when divided by 6 gives quotient 15 and remainder 3. Find the number.
Answer: (3) 93
Formula: Dividend = Divisor × Quotient + Remainder = 6×15+3 = 90+3 = 93. Verify: 93÷6 = 15 remainder 3 ✓. This is the basic division algorithm: N = D×Q + R, where D=divisor, Q=quotient, R=remainder. Always verify your answer by dividing back.
Q.50. The diameter of a circle is 14 cm. Find its circumference and area. (π = 22/7)
Answer: C=44cm, A=154cm²
r = d/2 = 14/2 = 7 cm. Circumference = 2πr = 2×(22/7)×7 = 2×22 = 44 cm. Area = πr² = (22/7)×49 = 22×7 = 154 cm². Key: diameter=2r; always find r first. C=2πr=πd; A=πr²=(π/4)d². Standard values: r=7→C=44,A=154; r=14→C=88,A=616.
Q.51. If the selling price of 10 articles equals the cost price of 12 articles, find the profit percentage.
Answer: (3) 20%
SP of 10 = CP of 12. Let CP of 1 article = ₹1. CP of 10 = ₹10. SP of 10 = CP of 12 = ₹12. Profit on 10 articles = 12−10 = ₹2. Profit% = (2/10)×100 = 20%. Formula shortcut: Profit% = [(n₂−n₁)/n₁]×100 = [(12−10)/10]×100 = 20%. This type of question appears frequently in profit-loss sections.
Q.52. Find the value of: 999² − 998²
Answer: 1997
Using identity: a²−b² = (a+b)(a−b). 999²−998² = (999+998)(999−998) = 1997×1 = 1997. This identity saves enormous calculation time. Instead of computing 999² and 998² separately, apply (a+b)(a−b) directly. Similarly: 101²−100² = 201; 51²−49² = (51+49)(51−49) = 100×2 = 200.
Q.53. A mixture of 40 litres contains milk and water in ratio 3:1. How much water must be added to make the ratio 3:2?
Answer: (3) 10 litres
In 40 litres (3:1): Milk=30 litres, Water=10 litres. Let water added = x. New ratio: 30/(10+x) = 3/2. Cross multiply: 60 = 3(10+x) = 30+3x → 3x=30 → x=10 litres. Verify: Milk=30, Water=20. Ratio=30:20=3:2 ✓. Note: Milk quantity stays constant; only water is added.
Q.54. A person covers a distance in 2 hours at 45 km/h. If he wants to cover the same distance in 90 minutes, what should be his speed?
Answer: (3) 60 km/h
Distance = 45×2 = 90 km. New time = 90 min = 1.5 hours. New speed = 90÷1.5 = 60 km/h. Alternatively: Speed and time are inversely proportional for same distance. S₁×T₁ = S₂×T₂ → 45×2 = S₂×1.5 → S₂ = 90/1.5 = 60 km/h.
Q.55. What principal will amount to ₹5324 in 2 years at 6% per annum compound interest?
Answer: ~₹4739
A = P(1+r/100)ⁿ → 5324 = P×(1.06)² = P×1.1236 → P = 5324/1.1236 ≈ ₹4739. Reverse calculation: divide Amount by (1+r/100)ⁿ. Verify: 4739×1.06=5023.34×1.06≈5324.74 ≈ ₹5324 ✓. This type tests reverse CI calculation — common in WBSSC arithmetic.
Q.56. The sum of a two-digit number and the number obtained by reversing its digits is 110. The difference between the digits is 4. Find the number.
Answer: (3) 73 or 37
Let digits be x and y. Number = 10x+y; reversed = 10y+x. Sum: (10x+y)+(10y+x)=11(x+y)=110 → x+y=10. Difference: x−y=4 (or y−x=4). Solving: x+y=10, x−y=4 → 2x=14 → x=7, y=3. Number = 73 or reversed = 37. Both are valid answers. Verify: 73+37=110 ✓; 7−3=4 ✓.
Q.57. A sum at SI becomes 3 times in 10 years. In how many years will it become 5 times?
Answer: (3) 20 years
If P becomes 3P in 10 years: SI = 2P. Rate = (2P×100)/(P×10) = 20% per year. For 5P: SI = 4P. Time = (4P×100)/(P×20) = 400/20 = 20 years. Shortcut: If sum becomes n times in T years at SI, it becomes m times in T×(m−1)/(n−1) years. Here: 10×(5−1)/(3−1) = 10×4/2 = 20 years.
Q.58. The radius of a cylinder is 7 cm and height is 10 cm. Find its volume. (π=22/7)
Answer: (3) 1540 cm³
Volume of cylinder = πr²h = (22/7)×7²×10 = (22/7)×49×10 = 22×7×10 = 1540 cm³. Key formulas: Cylinder: Volume=πr²h; Curved Surface Area=2πrh; Total Surface Area=2πr(r+h). Cone: Volume=(1/3)πr²h; Sphere: Volume=(4/3)πr³; Surface Area=4πr².
Q.59. A shopkeeper sells at a 10% loss on CP. If CP was ₹500, what is the SP?
Answer: (3) ₹450
Loss% = 10%. SP = CP×(100−loss%)/100 = 500×90/100 = 500×0.9 = ₹450. Loss = 500−450 = ₹50. Loss% = (50/500)×100 = 10% ✓. Formulas: Profit: SP=CP×(100+P%)/100; Loss: SP=CP×(100−L%)/100.
Q.60. In a triangle, two angles are 65° and 75°. Find the third angle.
Answer: (4) 40°
Sum of angles in a triangle = 180°. Third angle = 180° − 65° − 75° = 180° − 140° = 40°. This is the most basic geometry rule: angle sum property of a triangle. Extended: In a quadrilateral, sum = 360°. In a polygon of n sides, sum = (n−2)×180°. Pentagon=540°; Hexagon=720°.

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