This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 12001. |
Briefly explain the background of economic reforms in India. |
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Answer» There was a financial crisis which persisted since 1980. We know that to introduce various policies, the government has to generate funds from various sources like taxation, running public sector enterprises etc. When the expenditure is more than the income, the government takes loans to balance the deficit from banks and also from people within the country and from international banks. The various development policies require huge finance. But there was scarcity of funds. Even though the revenues were very low, the government had to overshoot its revenue to meet the challenges like unemployment, poverty and population explosion. The continued spending on development programmes of the government did not generate additional revenue. At the same time, the government could not generate funds internally. When the government was spending a large share of its income on areas which do not provide immediate returns, there was a need to use the rest of its revenue in a highly efficient manner. The income from public sector undertakings was also not very high to meet the growing expenditure. Further, the foreign exchange, borrowed from other countries and international banks was spent on meeting consumption needs. No sincere efforts were made to reduce expenditure and to increase our exports. During late 1980’s government expenditure exceeded its income. Prices of many essential goods increased. Imports grew at a very large extent. Foreign exchange reserves declined considerably and the same fall short to finance our imports for more than two weeks. There was shortage of funds even to pay interest to international lenders and at the same time no country or international bank was ready to lend any more to India. At this situation, India approached the International Bank for Reconstruction and Development and International Monetary Fund and received seven billion dollars as loan to manage the crisis. To avail loans, these international banks expected India to liberalise and open up its economy by removing restrictions on the private sector, reduce the role of government in many areas and remove trade restrictions between India and other countries. India had to agree to these conditions of IBRD and IMF and announced the new economic policy which included liberalization, privatization and globalization. |
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| 12002. |
Briefly explain the state of infrastructure in rural India. |
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Answer» Majority of people in India live in rural areas. In spite of so much of technological progress in the world, rural women are still using bio-fuels like agricultural waste, dried dung and fire wood to meet their energy requirement. They have to walk long distances to bring fuel, water and other basic needs. According to the latest estimates, in rural India only 56% of households have electricity connection and 43% still ties kerosene. About 90% of the rural households use bio- fuels for cooking. Tap water availability is limited to only 24 % rural households. About 76 % of the population drinks water from open sources like wells, tanks, ponds, lakes, rivers, canals etc. Access to improved sanitation in rural areas only 20 %. |
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| 12003. |
Write a short note on alternative markets. |
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Answer» The examples for emerging alternate marketing channels are as follows: 1. Farmers directly sell their agricultural produce to consumers. Example: Apni Mandi in Punjab, Haryana, and Rajasthan, Rythu Bazars (vegetables and fruits markets) in Andhra Pradesh, Uzhavar Sandhai – (a farmers market) in Tamil Nadu. 2. Agricultural contracts several domestic and multinational companies entering agreements with Indian farmers in which farmers are encouraged to grow farm products (vegetables andfruits) of desired quality by providing them with not only seeds and other inputs but also assured procurement of the produce at predecided prices. The main benefits of alternative agricultural marketing channels are:
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| 12004. |
Explain the consumption pattern of commercial energy in India. |
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Answer» In India, commercial energy consumption makes up about 65% of the total energy consumed. This includes coal with 55% of shares which is the largest one. The coal is followed by petroleum products at 31%, natural gas at 11%, hydroelectricity at 3%. The non-commercial energy sources consisting of firewood, cow dung and agricultural wastes account for 30% of the total energy consumption. In the sectoral pattern of consumption of commercial energy, the transport sector was the largest consumer of commercial energy. But now. there is a fall in the share of transport sector and the share of industrial sector is increasing. The share of petroleum and natural gas is the highest among all commercial energy consumption. |
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| 12005. |
What are the various indicators of Human Development index? |
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Answer» The various indicators of human development are as follows:
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| 12006. |
Write about the various indicators of Human development. |
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Answer» The various indicators of human development are as follows:
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| 12007. |
Explain the state of health infrastructure in India. |
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Answer» From the time of independence, the Government of India has taken many steps to build vast health infrastructure and manpower at different levels. They are as follows: 1. At the village level, single – physician clinics popularly known as Primary Health Centres are established. Apart from regular medical treatments, They mainly focus on Infant immunization. Anti epidemic drives, Birth – Control programs and pregnancy related care both pre-natal and post natal. 2. Government has given licence to voluntary agencies and private sector to establish hospitals, pharmacy and nursing colleges manned by trained professionals and para medical professionals. 3. Increase in the number of hospitals from 9300 to 43,300 and hospital beds from 1.2 million to 7.2 million by 2000. 4. Private sector is playing predominant role in medical education and training, medical technology and diaostics, manufacture and sale of pharmaceuticals, hospital construction and provision of medical services. 5. Due to the liberalization policy of Government of India, many non-resident Indians and industrial and pharmaceutical companies have set up state-of-afl super-specialty hospitals to attract Indicatess rich and medical tourists. 6. The Indian systems of medicine includes six systems viz., ayurveda. yoga, unani, siddha, naturopathy and homeopathy (AYUSH). There are 3,000 ISM hospitals, 23,000 dispensaries and about 6,00,000 registered practitioners in India. But, one of the studies reveals that India has about 17% of world’s population hut it bears just 20% of the global burden of diseases (GBD). In India, more than 50% of GBD is accounted b’ communicable diseases like diarrhoea. malaria and tuberculosis. Every year about 5,00,000 children die due to waterborne diseases. It is also reported that only 38% of primary health centres have the required number of medical practitioners and only 30% of PHCs have the requisite medicines. The people living in rural areas do not have sufficient medical infrastructure. There are only 0.36 hospitals for every lakh people in rural areas and in urban areas it is 3.6 for every lakh population. |
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| 12008. |
Explain the concepts.Mid-term Elections |
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Answer» Mid-term Elections Points: • If government loses its majority before completions of term-due to withdrawal of support • If no alternative government is possible, then elections are held before the completion of term. They are called as midterm elections. |
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| 12009. |
What are the various indicators of human development? |
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Answer» The various indicators of human development are as follows:
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| 12010. |
The yield of wheat production per acre for 10 districts of a state is under.DistrictWheat112210315419521616718899251010Calculate Quartile Deviation (Q.D) |
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Answer» Q.D for Wheat: First we need to arrange the observations in the ascending order x: 9 10 10 12 15 16 18 19 21 25 Calculation of lower quartile (Q1): Q1 = size of \((\frac{N}{4})^{th}\) item = size of \((\frac{10 + 1}{4})^{th}\) item = The size of \(\frac{11}{4}^{th}\) item i. e., 2.75th item The size of 2.75th item is size of 2nd item + 0.75 item Size of 2nd item = 10 Size of 0.75 item = Size of 3rd item – 2nd item = 10 – 10 = 0 Q1 = size of 2nd item + 0.75 item is Q1 = 10 + 0.75 (10 – 10) = 10 + O.75(0) = 10 + 0 Q1 = 10 Calculation of Upper Quartile (Q3): Q3 = Size of 3 \((\frac{N + 1}{4}^{th})\) item = Size of \((\frac{3(10 + 1)}{4})^{th}\) item = Size of \((\frac{3(11)}{4})^{th}\) item = Size of \((\frac{33}{4})^{th}\) item = size of 8.25 item i.e.. size of 8th item + 0.25 item (size of 9th – 8th item) Q3 = 19 + 0.25 (21 – 19) = 19 + 0.25(2) Q3= 19 + 0.5 Q3 = 19.5 Now QD = \(\frac{Q_3 - Q_1}{2} =\) \(\frac{19.5 - 10}{2} =\) \(\frac{9.5}{2} =\) 4.75 QD = 4.75 tonnes |
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| 12011. |
Explain whether the statement is true or false give reasons:The nature of the Constitution is seen as a living document |
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Answer» This statement is true. Because - - Even though, the Constitution is in written format, it is dynamic in nature. - The parliament has right to make changes in the Constitution with changes in conditions. |
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| 12012. |
Explain the concepts.Decentralisation of Power |
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Answer» Decentralisation of Power Points: • essence of democracy • participation of citizen increases • ristricts misuse of power • directive principles of the constitutions • 73rd and 74th amendment |
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| 12013. |
Explain whether the statements is true of false with reasons.1. The nature of the Constitution is seen as a living document. 2. The Election Commission decides as to when and in how many stages the elections would be held in a particular state. 3. Movements do not need a strong leadership. |
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Answer» 1. This statement is True. Because - • The Parliament has right to change the Constitution according to changes in the circumstances. • Basic framework of the Constitution can not be altered while amending the constitution. 2. This statement is True. Because - • Conduction of election is responsibility of Election Commission. • The Election Commission decides when to conduct election and in how many stages to hold election in every state. 3. This statement is False. Because - • Movement is collective action. People’s active participation is expected in the movement. • Movements have a leadership. Leadership keeps movements active, effectivity increases. • It has social objectives. |
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| 12014. |
Explain the need for acquiring information relating to health and education expenditures. |
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Answer» The majority of people spend huge amounts to acquire information relating to the labour market and other markets like education and health. For instance, people want to know the level of salaries associated with various types of jobs, whether the educational institutions provide the right type of employable skills land at what cost. This type of information is required to make decisions regarding investments in human capital and efficient utilisation of the acquired human capital stock. Expenditure incurred for acquiring information relating to the labour market and other markets is also a source of human capital formation. In simple words, people spend money to acquire information for the following reasons:
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| 12015. |
Choose the correct alternative and write the complete statement.1. The essence of democracy is . (a) universal adult franchise (b) decentralisation of power (c) policy of reservation of seats (d) judicial decisions 2. The election commissioner is appointed by the . (a) President (b) Prime Minister (c) Speaker of Loksabha (d) Vice President 3. Shiromani Akali Dal is a party in State. (a) Odisha (b) Assam (c) Punjab (d) Jammu and Kashmir 4. In a democracy participate in elections and get political power. (a) political parties (b) courts (c) social organisations (d) non Government Organisation |
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Answer» 1. decentralisation of power 2. President 3. Punjab 4. political parties |
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| 12016. |
Briefly explain the important area of liberalization. |
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Answer» Liberalisation was one of the reforms of New Economic Policy of 1991. It was introduced to put an end to the restrictions and open up various sectors of the economy. The following are the important areas of liberalization: 1. Deregulation of industrial sector: The liberalization policy removed many restrictions enforced on industrial sector. Industrial licensing was abolished for almost all but product categories like alcohol, cigarettes, hazardous chemicals, industrial explosives, electronics, aerospace and drugs and pharmaceuticals. The only industries which are not reserved for the public sector are defence equipments, atomic energy generation and railway transport. Many goods produced by the small scale industries have now been dereserved. 2. Financial sector reforms: The financial sector consists of financial institutions like commercial banks, investment banks, stock exchange operations and foreign exchange market. The financial sector in India is regulated by the Reserve Bank of India. The RBI decides the amount of money that the banks can keep with themselves, fixes interest rates, nature of lending to various sectors, etc. The major objective of financial sector reforms is to reduce the role of RBI from regulator to facilitator of financial sector. That means, the financial sector may be allowed to take decisions on many matters independent of RBI. The financial sector reform policies led to the establishment of private sector banks both Indian and foreign. Foreign investment limit in banks was raised to around 50%. The banks which fulfill certain conditions have been given freedom to set up new branches without the approval of the RBI. Foreign institutional investors (FIT) like merchant bankers, mutual funds and pension funds are now allowed to invest in Indian financial markets. 3. Tax reforms: These are the reforms which are concerned with government’s taxation and public expenditure policies which are collectively known as its fiscal policy. There are two types of taxes, direct and indirect. Since 1991, there has been a continuous reduction in the taxes on individual incomes as it was felt that high rates of income tax were an important reason for tax evasion. It is now widely accepted that moderate rates of income tax encourage savings and voluntary disclosure of income. The rate of corporation tax (tax on income of companies) which was very high earlier has been gradually reduced. A new tax called Goods and Services Tax (GST) has been introduced from 1.7.2017 to bring uniformity in indirect taxes. In order to encourage better compliance on the part of tax payers, many procedures have been simplified and the rates also substantially lowered. 4. Foreign exchange reforms: During 1991, the Government took an immediate measure to resolve the balance of payments crisis, the rupee was devalued against foreign currencies. This led to an increase in the inflow of foreign exchange. It also set the tone to free the determination of rupee value in the foreign exchange market from government control. At present, the market forces i.e., demand and supply, determine the exchange rates. 5. Trade and investment policy reforms: A new trade and investment policy under liberalization strategy was made to increase international competitiveness of industrial production and a foreign investments and technology into the economy. The aim was also to promote the efficiency of the local industries and the adoption of modem technologies. To protect Indian industries, the government was following quantitative restrictions on imports which encouraged tight control over imports. At the same time, tariffs were very high. These policies reduced efficiency and competitiveness which led to a slower growth of manufacturing sector. The main objectives of Trade and Investment Policy were:
Import licensing was abolished except in case of hazardous and environmentally sensitive industries. Quantitative restrictions on imports of manufactured consumer goods and agricultural products were also fully removed. Export duties have been removed to increase the competitive position of Indian goods in the international markets. A process of disinvestment was also initiated by selling of part of equity shares of public sector enterprises to the public. |
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| 12017. |
What are the main causes of unemployment In India? |
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Answer» The main causes for unemployment in India are as follows: 1. Population explosion: Rapid population growth is the leading factor responsible for unemployment in India. This has adversely affected the unemployment situation in two ways. Firstly, the growth of population has directly encouraged unemployment by making a large addition to the existing labour force. Secondly, the rate of job expansion could never be as high as the population growth would have required. 2. Season agricultural and backwardness of agricultural: In rural economy, agriculture is the main source of employment. However, most of the rural people are engaged directly and indirectly in agricultural operations. But, agriculture in India is basically a seasonal occupation. It provides employment only for certain months i.e., only during rainy days. During the rest of the period in a year, people would become unemployed. 3. Illiteracy and ignorance: Many people are illiterates and unskilled. They are not trained in accordance with the employment being generated. There is miss-match between the education industry and employment industry. 4. Slow growth: The growth of Indian economy is not at the expected level. The growth of GDP is still less than 7%. That means income which is being contributed to the national income generated through creation of employment opportunities is insufficient. 5. Lack of initiatives from government: In India, the government is inactive in creation of jobs. Rather, the government is indulging in disinvestment and closing Public Sector Industries due to industrial sickness. This is aggravating the problem of unemployment. 6. Low investment: There is a decline in the rate of investment due to lack of supportive atmosphere both in private and public sectors. This has slowed down the creation of new employment opportunities in India. 7. Orthodox nature of population: In India, majority of people are traditional and very orthodox and believe in blind beliefs. Many will be sticking on to some age old occupation even many though it has lost scope in the modem word. This has made them voluntarily unemployed. |
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| 12018. |
Explain the important areas of liberalization. |
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Answer» Liberalization was one of the reforms of New Economic Policy of 1991. It was introduced to put an end to the restrictions and open up various sectors of the economy. The following are the important areas of liberalization: 1. Deregulation of industrial sector: The liberalization policy removed many restrictions enforced on industrial sector. Industrial licensing was abolished for almost all but product categories like alcohol, cigarettes, hazardous chemicals, industrial explosives, electronics, aerospace and drugs and pharmaceuticals. The only industries which are not reserved for the public sector are defence equipments, atomic energy generation and railway transport. Many goods produced by the small scale industries have now been de-reserved. 2. Financial sector reforms: The financial sector consists of financial institutions like commercial banks, investment banks, stock exchange operations and foreign exchange market. The financial sector in India is regulated by the Reserve Bank of India. The RBI decides the amount of money that the banks can keep with themselves, fixes interest rates, nature of lending to various sectors, etc. The major objective of financial sector reforms is to reduce the role of RBI from regulator to facilitator of financial sector. That means, the financial sector may be allowed to take decisions on many matters independent of RBI. The financial sector reform policies led to the establishment of private sector banks both Indian and foreign. Foreign investment limit in banks was raised to around 50%. The banks which fulfill certain conditions have been given freedom to set up new branches without the approval of the RBI. Foreign Institutional Investors (FIT) like merchant bankers, mutual funds and pension funds are now allowed to invest in Indian financial markets. 3. Tax reforms: These are the reforms which are concerned with government’s taxation and public expenditure policies which are collectively known as its fiscal policy. There are two types of taxes, direct and indirect. Since 1991, there has been a continuous reduction in the taxes on individual incomes as it was felt that high rates of income tax were an important reason for tax evasion. It is now widely accepted that moderate rates of income tax encourage savings and voluntary disclosure of income. The rate of corporation tax (tax on income of companies) which was very high earlier has been gradually reduced. A new tax called Goods and Services Tax (GST) has been introduced from 1.7.2017 to bring uniformity in indirect taxes. In order to encourage better compliance on the part of tax payers, many procedures have been simplified and the rates also substantially lowered. 4. Foreign exchange reforms: During 1991, the Government took an immediate measure to resolve the balance of payments crisis, the rupee was devalued against foreign currencies. This led to an increase in the inflow of foreign exchange. It also set the tone to free the determination of rupee value in the foreign exchange market from government control. At present, the market forces i.e., demand and supply, determine the exchange rates. 5. Trade and investment policy reforms: A new trade and investment policy under liberalization strategy was made to increase international competitiveness of industrial production and a foreign investments and technology into the economy. The aim was also to promote the efficiency of the local industries and the adoption of modem technologies. To protect Indian industries, the government was following quantitative restrictions on imports which encouraged tight control over imports. At the same time, tariffs were very high. These policies reduced efficiency and competitiveness which led to a slower growth of manufacturing sector. The main objectives of Trade and Investment Policy were:
Import licensing was abolished except in case of hazardous and environmentally sensitive industries. Quantitative restrictions on imports of manufactured consumer goods and agricultural products were also fully removed. Export duties have been removed to increase the competitive position of Indian goods in the international markets. A process of disinvestment was also initiated by selling of part of equity shares of public sector enterprises to the public. |
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| 12019. |
Discuss the following as a source of Human Capital Formation. (1) Expenditure of Education (2) Expenditure on Health. |
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Answer» 1. Health infrastructure: The various forms of health expenditures are as follows:
The healthy individuals are a food source of human capital as they directly contribute for regular and higher productivity of labour. A sick labourer without access to medical facilities has to remain absent from work. This leads to loss of productivity. Hence, expenditure on health is an important source of human capital formation. 2. Expenditure on migration: People migrate from their native places in search of jobs which may bring higher salaries. Unemployment is the only reason for rural-urban migration in India. Technically qualified persons like engineers and doctors migrate to other countries to earn better income. Though there is a high cost of transport, high cost of living and other factors, the enhanced income will motivate people to migrate. Hence, expenditure on migration is also a source of human capital formation. |
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| 12020. |
The term "Doab" means1. a land between two mountains2. a land between two lakes3. a land between two rivers4. a land between two seas |
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Answer» Correct Answer - Option 3 : a land between two rivers The correct answer island between two rivers.
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| 12021. |
What do you understand by the term 'Doab' ? (a) Where the delta of river begins (b) Where two or more rivers meet (c) Land between two separate river systems (d) Land between two tributaries of a river |
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Answer» (d) Land between two tributaries of a river |
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| 12022. |
Proportion of literate population in the 7 years and above age group is termed as1. Education index2. Mortality ratio3. Literacy rate4. Gross enrolment ratio |
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Answer» Correct Answer - Option 3 : Literacy rate The correct answer is Literacy rate.
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| 12023. |
Which of the following measures the proportion of literate population in the seven and above age group?A. Net Attendance RatioB. Enrolment Rate C. Literacy Rate D. Drop out Ratio |
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Answer» C - Literacy Rate |
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| 12024. |
Which one of the following is a warm ocean currents?1. West Australian Current2. Peru Current3. Benguela Current4. East Australian Current |
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Answer» Correct Answer - Option 4 : East Australian Current The current answer is East Australian Current.
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| 12025. |
Identify the correct sequence of the seas on the basis of increasing salinity.1. I-Dead Sea, II-Caribbean Sea, III-Andaman Sea, IV- Baltic Sea2. I-Baltic Sea, II-Andaman Sea, III-Caribbean Sea, IV-Dead Sea3. I-Andaman Sea, II-Baltic Sea , III-Caribbean Sea, IV-Dead Sea4. I-Baltic Sea, II-Caribbean Sea, III-Andaman Sea, IV-Dead Sea |
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Answer» Correct Answer - Option 2 : I-Baltic Sea, II-Andaman Sea, III-Caribbean Sea, IV-Dead Sea The correct answer is I-Baltic Sea, II-Andaman Sea, III-Caribbean Sea, IV-Dead Sea.
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| 12026. |
Name any four carbon containing molecules which are essential for living beings. |
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Answer» (i) Nucleic acids (such as DNA, RNA) |
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| 12027. |
Which dam is built on the Mahandi?A. Bhakra DamB. Hirakud DamC. Nagarjuna Sagar DamD. Sardar Sarovar Dam |
| Answer» Correct Answer - B | |
| 12028. |
Badrinath is located on the bank of which river?A. AlaknandaB. MahanadiC. GangaD. Bhadra |
| Answer» Correct Answer - A | |
| 12029. |
Which is the largest river system of the peninsular India?A. The BrahmaniB. The CauveryC. The GodavariD. The Krishna |
| Answer» Correct Answer - C | |
| 12030. |
The inscription which proves the influence of Bhagwat cult in ancient Rajasthan is1. Ghatiyala Inscription2. Besnagar Inscription of Heliodorous3. Buchkala Inscription4. Ghosundi Inscription |
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Answer» Correct Answer - Option 4 : Ghosundi Inscription The correct answer is Ghosundi Inscription.
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| 12031. |
Chutak Hydro-electric project being constructed by NHPC in Kargil is on the river -A. SuruB. JhelumC. KunarD. Ravi |
| Answer» Correct Answer - A | |
| 12032. |
Which of the following is not true about Pushkar Lake?A. It is in Rajasthan state.B. It is a natural lake.C. It is a natural to Luni RiverD. Its surface area is 22 `km^(2)` |
| Answer» Correct Answer - B | |
| 12033. |
The city located on the blanks of Gomati isA. KanpurB. AllahabadC. LucknowD. Ghaziabad |
| Answer» Correct Answer - C | |
| 12034. |
Which of the following is matched correctly?A. Chilka Lake : Andhra PradeshB. Vembanad Lake : Tamil NaduC. Parichu Lake : TibetD. Lonar Lake : Madhya Pradesh |
| Answer» Correct Answer - C | |
| 12035. |
Which of the following dams is not on the River Krishna?A. Nagar junasagarB. Krishanaraja SagarC. SrisailamD. Alamatti |
| Answer» Correct Answer - B | |
| 12036. |
Which of the following dams is constructed across the river Krishna?1. Tehri2. Nagarjuna Sagar3. Hirakud4. Bhakra Nangal |
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Answer» Correct Answer - Option 2 : Nagarjuna Sagar The correct answer is Nagarjuna Sagar.
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| 12037. |
What are the advantages of using smokeless choolahs at home? Note them down in the science diary. |
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Answer» Makes home neat, lung disease can be reduced, does not affect the oxygen carrying capacity of blood. Reduces wastage of time and fuel loss. |
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| 12038. |
Which are the fuels that are used in vehicles and industries? |
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Answer» Petrol, Diesel, LPG, CNG etc |
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| 12039. |
When King George-V and Queen of India visited India, a magnificent Durbar was held at (a) Calcutta (b) Delhi (c) Bombay (d) Madras |
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Answer» When King George-V and Queen of India visited India, a magnificent Durbar was held at Delhi. |
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| 12040. |
What is the second capital of Himachal Pradesh?1. Dharamshala2. Mandi3. Solan4. Chamba |
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Answer» Correct Answer - Option 1 : Dharamshala The Correct Answer is Dharamshala.
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| 12041. |
Visit a nearby pollution testing center, interact with the staff there and prepare a note on the permissible pollution rate. |
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Answer» The carbon monoxide produced as a result of combustion of fuels causes environmental pollution. More carbon monoxide may be produced if the vehicles are not working properly. Smoke testing is conducted to know what quantity of carbon monoxide is present in the smoke coming out of vehicle. |
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| 12042. |
In which of the following countries, the Indus River does not flow?A. IndiaB. PakistanC. ChinaD. Afghanistan1. D2. C3. A4. B |
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Answer» Correct Answer - Option 1 : D The correct answer is D.
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| 12043. |
Visit a hydroelectric power station and try to understand different stages of the production of electricity. Make use of this principle and find out the scope of mini hydroelectric power project. |
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Answer» There are only some primary expenses to build a hydrogen-electric power station. Hydroelectric power stations must be constructed only in areas of heavy rainfall and good streamflow. If these required conditions are satisfied, the production of electricity from such power station is very profitable one. |
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| 12044. |
The Maithon Dam is located in which state?1. Chhattisgarh2. Jharkhand3. Odisha4. Madhya Pradesh |
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Answer» Correct Answer - Option 2 : Jharkhand The correct answer is Jharkhand.
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| 12045. |
A statue of Buddhist goddess 'Tara' is found during excavation on Pachna hill located in which district?1. Nawada2. Gaya3. Nalanda4. Sheikhpura |
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Answer» Correct Answer - Option 4 : Sheikhpura The correct answer is Sheikhpura.
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| 12046. |
When was Panch Dhara Scheme launched?1. 19912. 19953. 20014. 2002 |
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Answer» Correct Answer - Option 1 : 1991 The correct answer is 1991.
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| 12047. |
If kx3 + 4x2 + 3x - 4 and x3 - 4x + k leave the same remainder when divided by (x - 3), then the value of k is: |
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Answer» Correct Answer - Option 2 : -1 Given: Dividend1 = kx3 + 4x2 + 3x - 4 Dividend2 = x3 - 4x + k Divisor = (x - 3) Formula Used: Dividend = (divisor × quotient) + Reminder Calculation: x - 3 = 0 Then, x = 3 By substituting the value of x, we'll get kx3 + 4x2 + 3x - 4 = k(3)3 + 4(3)2 + 3(3) - 4 = 27k + 36 + 9 - 4 = 27k + 41 ----(i) x3 - 4x + k = 33 - 4(3) + k = 27 - 12 + k = 15 + k ----(ii) Both the dividends leave equal reminders then equating (i) and (ii) 27k + 41 = 15 + k ⇒ 26k = -26 ⇒ k = -1 ∴ The value of k is -1 |
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| 12048. |
The _______ is a colourful and mesmeric fair which is held a few days after Holi, every year in Meerut in Uttar Pradesh.1. Kumbh Mela2. Nauchandi Mela3. Ganga Mela4. Sikri Mela |
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Answer» Correct Answer - Option 2 : Nauchandi Mela The correct answer is Nauchandi Mela.
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| 12049. |
The remainder obtained when 8x4 + 14x3 – 2x2 + 7x – 8 is divided by 4x2 + 3x – 2 is: 1. 8x – 62. 8x + 63. 14x + 104. 14x – 10 |
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Answer» Correct Answer - Option 4 : 14x – 10 Given: Divivdend = 8x4 + 14x3 – 2x2 + 7x – 8, Divisor = 4x2 + 3x – 2 Concept Used: Deducing given equation in multiple of divisor, we can easily determine remainder Calculation: On deducing given equation ⇒ 8x4 + 14x3 – 2x2 + 7x – 8 ⇒ 8x4 + 6x3 - 4x2 + 8x3 + 2x2 + 7x – 8 ⇒ (4x2 + 3x – 2) × 2x2 + 8x3 + 2x2 + 7x – 8 ⇒ [(4x2 + 3x – 2) × 2x2 ]+ [(4x2 + 3x – 2) × 2x] - 4x2 + 11x - 8 ⇒ [(4x2 + 3x – 2) × 2x2 ]+ [(4x2 + 3x – 2) × 2x] + [(4x2 + 3x – 2) × -1] + 14x - 10 ∴ Required remainder = 14x - 10 |
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| 12050. |
Which of the following is correct?A) When a quadratic polynomial is divided by linear polynomial. We always get constant polynomial.B) Cubic polynomial when divided by linear polynomial we will always get constant polynomial as remainder.C) Zero is rational number.D) If n is even then an + bn is always divisible by a + b*Multi - Option correct MCQ |
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Answer» Correct answer is:- (B) and (C) Explanation:- (A) Let us take a quadratic polynomial x2 + 9x + 11 is divided by x - 3 we get x + 12 as a polynomial which is linear and some remainder. So it is not necessary that we always get constant polynomial. Hence, (A) is incorrect. (B) Let's say a cubic polynomial is x3 + 3x + 2 is divided by x + 2, then the remainder is (-2)3 + 3(-2) + 2 = -12 which is a constant polynomial. If you take any other cubic polynomial and divide it by a linear polynomial, you will always get a constant polynomial as a remainder. Hence, (B) is correct. (C) Zero is always a rational number, as it can be written in the form of p/q, where q should not be zero. (D) n should be odd so that an + bn is divisible by a + b. Hence, (D) is incorrect. |
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