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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General Knowledge Question and Answer (Q&A) (1001 to 1050)
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General Knowledge Questions for all types of Exams
Question 1001 : The fossil of Archaeopteryx represents the evidence of origin of animals?
Answer : Birds from reptiles
Question 1002 : Who was the President of the Constituent Assembly?
Answer : Dr. Rajendra Prasad
Question 1003: Why does Mumbai receives more rainfall than Pune?
Answer : Because mumbai is on the windward side
Question 1004 : What was the real name of Tantiya Tope?
Answer : Ramchandra Panduranga
Question 1005 : Which rays can pass through 20 cm thickness of steel?
Answer : รฃ-rays
Question 1006 : Which characteristic is common among parrot, platypus and kangaroo?
Answer : Functional post anal tail
Question 1007 : In India, in which banking is the Public Sector is most dominant?
Answer : Commercial banking
Question 1008 : Which does not have a unit of Hindustan Aeronautics Ltd (HAL)?
Answer : Kolkata
Question 1009 : Who was the British PM at the time of Revolt of 1857?
Answer : Pamstern
Question 1010 : AIDS is caused by Human Immunodeficiency Virus (HIV), What is this?
Answer : Retro virus
Question 1011: By whom was the Cabinet Mission to India headed?
Answer : Lord Pethick Lawrence
Question 1012 : Phosgene is obtained by the reaction of carbon monoxide and which gas?
Answer : Chlorine
Question 1013 : Where are Diesel locomotives manufactured?
Answer : Varanasi
Question 1014 : Who advocated the policy of abolishing princely states in free India?
Answer : Jawaharlal Nehru
Question 1015 : Which petroleum refinery product has the lowest boiling point?
Answer : Gasoline
Question 1016 : SIMBEX is an annual joint maritime bilateral exercise conducted between which countreis?
Answer : India and Singapore
Question 1017 : By whom were Species Plantarum and Systema Natural written?
Answer : Linneus
Question 1018 : What is the process that result in the breakdown of rocks and minerals in situ?
Answer : Weathering
Question 1019 : Who were considered constitutionalist within the Indian National Congress?
Answer : Satyamurty and K. M. Munshi
Question 1020 : Which is a human right as well as a fundamental right under the Constitution of India?
Answer : Right to Education
Question 1021 : Old-written material, which cannot be read easily, how can be read?
Answer : By infrared rays
Question 1022 : Which is the largest Public Sector Bank in India?
Answer : State Bank of India
Question 1023 : Which sets indicated the Aeolian process?
Answer : Corrosion, attrition, deflation
Question 1024 : Who was instrumental in bringing the Extremists and the Moderates together at Lucknow?
Answer : Annie Besant
Question 1025 : Which is nuclear-capable submarine-launched ballistic missile?
Answer : Sagarika
Question 1026 : Medicine for high blood pressure is obtained from which species?
Answer : Rauwolffia species
Question 1027 : Howmany times has National Emergency been declared?
Answer : Three times
Question 1028 : Because of which factor, clouds do not precipitate in deserts?
Answer : Low humidity
Question 1029 : Who headed the Cabinet Mission?
Answer : Lord Pethick Lawrence
Question 1030 : Which compound does not contains an OH group?
Answer : Aldehyde
Question 1031 : Who has been appointed as the chairman of Central Electricity Authority?
Answer : Rakesh Nath
Question 1032 : Who is responsible for the collection and publication of monetary and financial information?
Answer : Reserve Bank of India
Question 1033 : What is the quantity of water in a particular volume of air called?
Answer : Absolute humidity
Question 1034 : The description of the administration of Pataliputra is available in which book?
Answer : Indica
Question 1035 : When does a cell increase in volume?
Answer : If the external medium is hypotonic
Question 1036 : Under which act was the Supreme Court set up?
Answer : Regulating Act
Question 1037 : Mesons are found in which rays?
Answer : Cosmic rays
Question 1038 : Lichens and Mosses are characteristic vegetation of which zone?
Answer : The polar zone
Question 1039 : Who also had the name Devanama Piyadasi?
Answer : Mauryan King Ashoka
Question 1040 : Who was thrice elected President of the Indian National Congress?
Answer : Dadabhai Naoroji
Question 1041 : How many member country are there in Commonwealth Nations?
Answer : 54
Question 1042 : Which plant yeilds biodiesel or biofuel?
Answer : Jatropha curcas
Question 1043 : What is associated with a savanna climate?
Answer : Scrub
Question 1044 : Who was a contemporary of Alexander, the Great?
Answer : Chandragupt Maurya
Question 1045 : Which Judge of the Supreme Court was unsuccessfully sought to be impeached?
Answer : Justice Ramaswami
Question 1046 : Maximum hydrogen bonding would be observed in which compound?
Answer : Methanol
Question 1047 : Taxation and the government’s expenditure policy are dealt under under which policy?
Answer : Fiscal policy
Question 1048 : Slash and burn agriculture in North Eastern State is Known by which name?
Answer : Jhumming
Question 1049 : Which historical personality of India is also known as Vishnugupta?
Answer : Chanakya
Question 1050 : Which organization issue the rules of global trade?
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...
Choose the correct option ๐ 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...
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...
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 (เฆเฆฃিเฆค) : This textbook covers fundamental mathematical concepts essential for Class 9 and 10 students. Higher Mathematics (เฆเฆ্เฆเฆคเฆฐ เฆเฆฃিเฆค) : Designed for students pursuing advanced mathematical studies, this book delves into complex topics to prepare students for higher education. DOWNLOAD PDF FILE
เคเคคिเคนाเคธ MCQ 111. เคฎुเคเคฒ เคธाเคฎ्เคฐाเค्เคฏ เคी เคธ्เคฅाเคชเคจा เคिเคธเคจे เคी เคฅी? A. เคนुเคฎाเคฏूँ B. เคฌाเคฌเคฐ C. เค เคเคฌเคฐ D. เคถेเคฐเคถाเคน เคธूเคฐी เคเคค्เคคเคฐ: B 112. เคถेเคฐเคถाเคน เคธूเคฐी เคा เคตाเคธ्เคคเคตिเค เคจाเคฎ เค्เคฏा เคฅा? A. เคซเคฐीเคฆ เคाเคจ B. เคเคฒाเคฒ เคाเคจ C. เคธिเคंเคฆเคฐ เคाเคจ D. เคเคธ्เคฎाเคเคฒ เคाเคจ เคเคค्เคคเคฐ: A 113. เคถेเคฐเคถाเคน เคธूเคฐी เคจे เคिเคธ เคธเคก़เค เคा เคจिเคฐ्เคฎाเคฃ เคเคฐाเคฏा? A. เค्เคฐैंเคก เค्เคฐंเค เคฐोเคก B. เคถाเคนी เคธเคก़เค C. เคเคค्เคคเคฐाเคชเคฅ D. เคฆเค्เคทिเคฃाเคชเคฅ เคเคค्เคคเคฐ: A 114. เค เคเคฌเคฐ เคा เคธंเคฐเค्เคทเค เคौเคจ เคฅा? A. เคฌैเคฐเคฎ เคाเคจ B. เค เคฌुเคฒ เคซ़เค़เคฒ C. เคฌीเคฐเคฌเคฒ D. เคคाเคจเคธेเคจ เคเคค्เคคเคฐ: A 115. เคชाเคจीเคชเคค เคा เคฆ्เคตिเคคीเคฏ เคฏुเคฆ्เคง เคเคฌ เคนुเค? A. 1526 B. 1556 C. 1605 D. 1615 เคเคค्เคคเคฐ: B 116. เค เคเคฌเคฐ เคจे เคिเคธे ‘เคเคฎाเคฎ-เค-เคเคฆिเคฒ’ เคोเคทिเคค เคिเคฏा? A. เค เคฌुเคฒ เคซ़เค़เคฒ B. เคซैเค़ी C. เคธ्เคตเคฏं เคो D. เคฌीเคฐเคฌเคฒ เคเคค्เคคเคฐ: C 117. ‘เคฎเคจเคธเคฌเคฆाเคฐी เคช्เคฐเคฅा’ เคिเคธเคธे เคธंเคฌंเคงिเคค เคนै? A. เคช्เคฐเคถाเคธเคจ B. เคธैเคจ्เคฏ เคธंเคเค เคจ C. เคฐाเคเคธ्เคต เคต्เคฏเคตเคธ्เคฅा D. เคเคชเคฐ्เคฏुเค्เคค เคธเคญी เคเคค्เคคเคฐ: D 118. เคเคนाँเคीเคฐ เคी เคชเคค्เคจी เคจूเคฐเคเคนाँ เคा เคตाเคธ्เคคเคตिเค เคจाเคฎ เค्เคฏा เคฅा? A. เคฎेเคนเคฐूเคจ्เคจिเคธा B. เคเคนांเคเคฐा C. เคฐोเคถเคจเคเคฐा D. เคฎुเคฎเคคाเค़ เคเคค्เคคเคฐ: A 119. เคถाเคนเคเคนाँ เคจे เคฐाเคเคงाเคจी เคเคนाँ เคธ्เคฅाเคจांเคคเคฐिเคค เคी? A. เคเคเคฐा B. เคซเคคेเคนเคชुเคฐ เคธीเคเคฐी C. เคฆिเคฒ्เคฒी D. เคฒाเคนौเคฐ เคเคค्เคคเคฐ: C 120. เคเคฐंเคเค़ेเคฌ เคा เคถाเคธเคจเคाเคฒ เคเคฌ เคคเค เคฐเคนा? A. 1605–1627 B. 1628–1658 C. 1658–1707 D. 1707–1737 ...
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...
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:...
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...
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...
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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