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Computer Science MCQs (Set–29 | Level — Frontier Open Conjectures & Deep Structural Theory ๐Ÿ˜ˆ๐Ÿ”ฅ)

281. The statement “P ≠ NP” would immediately imply: A) NP ⊄ P B) No NP-Complete problem is solvable in polynomial time C) There exist problems verifiable but not efficiently solvable D) All of the above Answer: D) All of the above 282. The class coNP consists of languages whose complements are in: A) P B) NP C) PSPACE D) EXP Answer: B) NP 283. If PH collapses to level k, then: A) All higher levels equal ฮฃโ‚–^P B) PSPACE collapses C) NP = PSPACE D) EXP collapses Answer: A) All higher levels equal ฮฃโ‚–^P 284. The problem of graph isomorphism is currently known to be in: A) P (proven decades ago) B) NP-Complete C) Quasi-polynomial time D) PSPACE-Complete Answer: C) Quasi-polynomial time 285. The class #P deals with: A) Optimization problems B) Counting accepting paths C) Space-bounded computation D) Quantum proofs Answer: B) Counting accepting paths 286. If #P = FP (polynomial-time computable functions), then: A) P = NP B) PH collapses C) PSPACE = NP D) BQP = P Answer: B) PH collapses ...
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Class 9–10 Mathematics Textbooks

Class 9–10 Mathematics Textbooks  The NCTB textbooks are structured to align with the national curriculum, ensuring that students receive standardized and quality education. ​ General Mathematics (เฆ—เฆฃিเฆค) : This textbook covers fundamental mathematical concepts essential for Class 9 and 10 students. ​ Higher Mathematics (เฆ‰เฆš্เฆšเฆคเฆฐ เฆ—เฆฃিเฆค) : Designed for students pursuing advanced mathematical studies, this book delves into complex topics to prepare students for higher education. DOWNLOAD PDF FILE​
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General Knowledge Questions and Answers

Here are 50 General Knowledge (GK) questions along with their answers, covering a range of topics such as history, geography, science, current affairs, and general facts: Question 1 : What is the capital of Australia? Answer : Canberra Question 2 : Who invented the lightbulb? Answer : Thomas Edison Question 3 : What is the largest mammal in the world? Answer : Blue Whale Question 4 : Who wrote the national anthem of India? Answer : Rabindranath Tagore Question 5 : Which planet is known as the Red Planet? Answer : Mars Question 6 : What is the currency of Japan? Answer : Yen Question 7 : Who was the first President of the United States? Answer : George Washington Question 8 : Which continent is known as the Dark Continent? Answer : Africa Question 9 : What is the boiling point of water in Celsius? Answer : 100°C Question 10 : Who discovered gravity? Answer : Sir Isaac Newton Question 11 : What is the smallest prime number? Answer : 2 Question 12 : Which country is known as the Land of t...
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English Grammar MCQs – Set 43 (SSC / Banking / Railway | Full Practice)

Choose the correct option ๐Ÿ‘‡ Error Spotting (Q1–Q6) 1. One of the most important factor is discipline. (a) One of the most (b) important factor (c) is (d) discipline 2. He has not returned back from office yet. (a) He has (b) not returned back (c) from office (d) yet 3. Each of the girls were given a prize. (a) Each (b) of the girls (c) were given (d) a prize 4. She is suffering from cold and cough since Monday. (a) She is suffering (b) from cold and cough (c) since Monday (d) no error 5. He is more intelligent than any student of his class. (a) He is (b) more intelligent (c) than any student (d) of his class 6. No sooner did the bell rang than the students left the class. (a) No sooner did (b) the bell rang (c) than the students (d) left the class Sentence Improvement (Q7–Q11) 7. He is senior than me in age. (a) senior to me (b) senior from me (c) senior than me (d) no improvement 8. She prefers tea than coffee in the morning. (a) prefers tea to coffee (b) prefers tea over cof...
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Computer Science MCQs (Set–25 | 500-Level Research-Oriented Complexity ๐Ÿ˜ˆ๐Ÿ”ฅ)

241. If coNP ⊆ NP, then which major collapse follows? A) P = NP B) PH collapses to NP C) PSPACE = NP D) EXPTIME = NP Answer: B) PH collapses to NP 242. The language TRUE quantified Boolean formulas with k alternations is complete for: A) NP B) coNP C) ฮฃโ‚–^P D) PSPACE Answer: C) ฮฃโ‚–^P 243. Ladner’s Theorem states that if P ≠ NP, then: A) NP-Complete problems do not exist B) There exist NP-intermediate problems C) PH collapses D) PSPACE = NP Answer: B) There exist NP-intermediate problems 244. The class IP (Interactive Polynomial time) is equal to: A) NP B) coNP C) PSPACE D) EXPTIME Answer: C) PSPACE 245. Which of the following is known about NL and coNL? A) NL ≠ coNL B) NL ⊆ coNL C) NL = coNL D) Unknown Answer: C) NL = coNL 246. If NP = P, then which of the following becomes true? A) Every language in NP has polynomial-size circuits B) PH collapses to P C) NP = coNP D) All of the above Answer: D) All of the above 247. The problem of determining whether a Turing Machine accepts infin...
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Class 9–10 Mathematics Textbooks

Class 9–10 Mathematics Textbooks  The NCTB textbooks are structured to align with the national curriculum, ensuring that students receive standardized and quality education. ​ General Mathematics (เฆ—เฆฃিเฆค) : This textbook covers fundamental mathematical concepts essential for Class 9 and 10 students. ​ Higher Mathematics (เฆ‰เฆš্เฆšเฆคเฆฐ เฆ—เฆฃিเฆค) : Designed for students pursuing advanced mathematical studies, this book delves into complex topics to prepare students for higher education. DOWNLOAD PDF FILE​
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เค‡เคคिเคนाเคธ เค•े MCQ (เคญाเค—–12 | 111–120)

เค‡เคคिเคนाเคธ MCQ 111. เคฎुเค—เคฒ เคธाเคฎ्เคฐाเคœ्เคฏ เค•ी เคธ्เคฅाเคชเคจा เค•िเคธเคจे เค•ी เคฅी? A. เคนुเคฎाเคฏूँ B. เคฌाเคฌเคฐ C. เค…เค•เคฌเคฐ D. เคถेเคฐเคถाเคน เคธूเคฐी เค‰เคค्เคคเคฐ: B 112. เคถेเคฐเคถाเคน เคธूเคฐी เค•ा เคตाเคธ्เคคเคตिเค• เคจाเคฎ เค•्เคฏा เคฅा? A. เคซเคฐीเคฆ เค–ाเคจ B. เคœเคฒाเคฒ เค–ाเคจ C. เคธिเค•ंเคฆเคฐ เค–ाเคจ D. เค‡เคธ्เคฎाเค‡เคฒ เค–ाเคจ เค‰เคค्เคคเคฐ: A 113. เคถेเคฐเคถाเคน เคธूเคฐी เคจे เค•िเคธ เคธเคก़เค• เค•ा เคจिเคฐ्เคฎाเคฃ เค•เคฐाเคฏा? A. เค—्เคฐैंเคก เคŸ्เคฐंเค• เคฐोเคก B. เคถाเคนी เคธเคก़เค• C. เค‰เคค्เคคเคฐाเคชเคฅ D. เคฆเค•्เคทिเคฃाเคชเคฅ เค‰เคค्เคคเคฐ: A 114. เค…เค•เคฌเคฐ เค•ा เคธंเคฐเค•्เคทเค• เค•ौเคจ เคฅा? A. เคฌैเคฐเคฎ เค–ाเคจ B. เค…เคฌुเคฒ เคซ़เคœ़เคฒ C. เคฌीเคฐเคฌเคฒ D. เคคाเคจเคธेเคจ เค‰เคค्เคคเคฐ: A 115. เคชाเคจीเคชเคค เค•ा เคฆ्เคตिเคคीเคฏ เคฏुเคฆ्เคง เค•เคฌ เคนुเค†? A. 1526 B. 1556 C. 1605 D. 1615 เค‰เคค्เคคเคฐ: B 116. เค…เค•เคฌเคฐ เคจे เค•िเคธे ‘เค‡เคฎाเคฎ-เค-เค†เคฆिเคฒ’ เค˜ोเคทिเคค เค•िเคฏा? A. เค…เคฌुเคฒ เคซ़เคœ़เคฒ B. เคซैเคœ़ी C. เคธ्เคตเคฏं เค•ो D. เคฌीเคฐเคฌเคฒ เค‰เคค्เคคเคฐ: C 117. ‘เคฎเคจเคธเคฌเคฆाเคฐी เคช्เคฐเคฅा’ เค•िเคธเคธे เคธंเคฌंเคงिเคค เคนै? A. เคช्เคฐเคถाเคธเคจ B. เคธैเคจ्เคฏ เคธंเค—เค เคจ C. เคฐाเคœเคธ्เคต เคต्เคฏเคตเคธ्เคฅा D. เค‰เคชเคฐ्เคฏुเค•्เคค เคธเคญी เค‰เคค्เคคเคฐ: D 118. เคœเคนाँเค—ीเคฐ เค•ी เคชเคค्เคจी เคจूเคฐเคœเคนाँ เค•ा เคตाเคธ्เคคเคตिเค• เคจाเคฎ เค•्เคฏा เคฅा? A. เคฎेเคนเคฐूเคจ्เคจिเคธा B. เคœเคนांเค†เคฐा C. เคฐोเคถเคจเค†เคฐा D. เคฎुเคฎเคคाเคœ़ เค‰เคค्เคคเคฐ: A 119. เคถाเคนเคœเคนाँ เคจे เคฐाเคœเคงाเคจी เค•เคนाँ เคธ्เคฅाเคจांเคคเคฐिเคค เค•ी? A. เค†เค—เคฐा B. เคซเคคेเคนเคชुเคฐ เคธीเค•เคฐी C. เคฆिเคฒ्เคฒी D. เคฒाเคนौเคฐ เค‰เคค्เคคเคฐ: C 120. เค”เคฐंเค—เคœ़ेเคฌ เค•ा เคถाเคธเคจเค•ाเคฒ เค•เคฌ เคคเค• เคฐเคนा? A. 1605–1627 B. 1628–1658 C. 1658–1707 D. 1707–1737 ...
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General Knowledge Question and Answer (Q&A)

General Knowledge Questions for all types of Exams Question : The Centre-State financial distribution takes place on the recommendation by which ministry? Answer : Finance Minister   Question : How climate does the Veld grassland of south Africa experience? Answer : The Steppe climate   Question : What is the number of puranas? Answer : 18   Question : At a grid sub stations the voltage is stepped up to reduce loss of which thing? Answer : Power   Question : Which are connected by over 1700 km-long BTC oil pipe-line? Answer : Caspian sea and Mediterranean sea   Question : When was EXIM Bank set-up? Answer : 1982   Question : Which country has the highest agricultural production in Europe? Answer : France   Question : Who is considered as the first national ruler of India? Answer : Chandragupta Maurya   Question : From the evolutionary point of View, which is the most primitive animal? Answer : Turt...
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Computer Science MCQs (Set–24 | 400-Level Extreme Proof & Reduction ๐Ÿ”ฅ๐Ÿ˜ˆ)

231. If SAT ∈ P, then which of the following collapses immediately? A) PH collapses to ฮฃ₁^P B) NP = coNP C) PSPACE = P D) EXPTIME = NP Answer: A) PH collapses to ฮฃ₁^P 232. The problem of determining whether two context-free grammars generate the same language is: A) Decidable B) NP-Complete C) PSPACE-Complete D) Undecidable Answer: D) Undecidable 233. If NP ⊆ coNP, then: A) PH collapses B) P = NP C) EXPTIME = NP D) PSPACE = NP Answer: A) PH collapses 234. Which of the following is complete for PSPACE under polynomial-time reductions? A) 3-SAT B) QBF C) Vertex Cover D) Clique Answer: B) QBF 235. The class BPP is known to be contained in: A) NP B) coNP C) PSPACE D) EXPTIME only Answer: C) PSPACE 236. Which hierarchy is known to be infinite? A) Polynomial Hierarchy B) Arithmetical Hierarchy C) EXPTIME Hierarchy D) None proven infinite Answer: B) Arithmetical Hierarchy 237. The Post Correspondence Problem (PCP) is: A) NP-Complete B) PSPACE-Complete C) Decidable D) Undecidable Answer:...
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General Knowledge Question and Answer (Q&A) (51 to 100)

General Knowledge Questions for all types of Exams Question 51 : Which tree, once very popular in social forestry, is now taken to be environmental hazard? Answer : Eucalyptus Question 52 : Foot-and-Mouth disease in animals, a current epidemic in some parts of the world, By which is this caused? Answer : Bacterium Question 53 : In which animal is respiration done by skin? Answer : Frog Question 54 : The Ruhr-Westphalia region is a famous industrial region of which country? Answer : Germany Question 55 : Which was the first newspaper to be published in India? Answer : Bengal Gazette Question 56 : With which does the power to extend or restrict the jurisdiction of the High Court rest? Answer : With the Parliament Question 57 : ‘Gobar gas’ contains mainly which gas? Answer : Methane Question 58 : Which is the biggest Public Sector undertaking in the country? Answer : Railways Question 59 : Which rocks is transformed into marble? Answer : Limestone Question 60 : Which ‘Englishmen was fello...
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General Knowledge Question and Answer (Q&A)

General Knowledge Questions for all types of Exams Question : Where are the disputes regarding the election of the President and Vice-President settle? Answer : In the Supreme Court Question : The river Cauvery originates from which state? Answer : Karnataka Question : The Maratha kingdom was founded by Shivaji during which reign? Answer : Aurangzeb I Question : In an atomic nucleus, by which force are neutrons and protons held together? Answer : Exchange forces Question : Who is a social activist campaigning against child labour? Answer : Swami Agnivesh Question :When was National Development Council set up? Answer : 1952 Question : Which is the main river flowing in the state of Jammu and Kashmir? Answer : Jhelum Question : The Maratha Chief, Sambhaji was executed during which reign? Answer : Aurangzeb Question : Animal goes under winter sleep due to low temperature, what is called? Answer : Aestivation Question : What function is specifically prescribed by the Constitution for the v...
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General Knowledge Question and Answer (Q&A)

General Knowledge Questions for all types of Exams Question : What was the most profound influence on the drafting of the Indian Constitution? Answer : Government of India Act, 1935 Question : Which country ranks first in producing teak? Answer : Thailand Question : By whom was the agitation against the partition of Bengal led? Answer : Surendranath Banerjee Question :  ‘Hydraulic brakes’ and ‘Hydraulic lift’ are devices, why are fluids used in them? Answer : For transmitting pressure Question : Which person won seven gold medals in swimming for the U.S. in the 1972 Olympic? Answer : Mark Spitz Question : Which Agriculture export item is second in case of India? Answer : Rice Question : Which lake in India has the highest water salinity? Answer : Sambhar Question : Who organised Ashwamedha Yajna? Answer : Samudragupta Question : Which sector is the largest emitter of greenhouse gases in India? Answer : Electric power generation Question : Why was the design of the National Flag was...
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