Q.14131·Miscellaneous·2012·EasyIf the latus rectum of an ellipse is equal to half of the minor axis, then what is its eccentricity ?View question
Q.14132·Miscellaneous·2012·EasyWhat is the probability that a leap year selected at random contains 53 Mondays ?View question
Q.14133·Miscellaneous·2012·EasyWhat is the equation of line passing through (0, 1) and making an angle with the y-axis equal to the inclination of the line x – y = 4 with x-axis ?View question
Q.14134·Miscellaneous·2012·EasyTwo poles are 10 m and 20 m high. The line joining their tips makes an angle of 15° with the horizontal. What is the distance between these poles ?View question
Q.14135·Miscellaneous·2012·EasyIn a triangle ABC if the angles A, B, C are in AP, then which one of the following is correct ?View question
Q.14136·Miscellaneous·2012·EasyThe geometric mean and harmonic mean of two non-negative observations are 10 and 8 respectively. Then what is the arithmetic mean of the observations equal to ?View question
Q.14137·Miscellaneous·2012·EasyConsider the following statements : 1.A continuous random variable can take all values in an interval. 2.A random variable which takes a finite number of values is necessarily discrete. 3.Construction of a frequency distribution is based on data which are discrete. Which of the above statements are correct ?View question
Q.14138·Miscellaneous·2012·EasyWhat is the mode for the data 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24, 25 ?View question
Q.14139·Miscellaneous·2012·EasyLet sin(A + B) = 1 and sin(A – B) = 1/2, where, A, B ∈ [0, π/2]. What is the value of A ?View question
Q.14140·Miscellaneous·2012·EasyLet sin(A + B) = 1 and sin(A – B) = 1/2, where, A, B ∈ [0, π/2]. What is tan(A + 2B) . tan(2A + B) equal to ?View question
Q.14141·Miscellaneous·2012·EasyThe number 292 in decimal system is expressed in binary system byView question
Q.14142·Miscellaneous·2012·EasyWhat is the distance between the lines 3x + 4y = 9 and 6x + 8y = 18 ?View question
Q.14143·Miscellaneous·2012·EasyIn a survey of 25 students, it was found that 15 had taken Mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects. The number of students who had taken only two subjects is:View question
Q.14144·Miscellaneous·2012·EasyEducation, without a doubt, has an important functional, instrumental and utilitarian dimension. This is revealed when one asks questions such as 'what is the purpose of education?'. The answers, too often, are 'to acquire qualifications for employment/upward mobility', 'wider/higher (in terms of income) opportunities', and 'to meet the needs for trained human power in diverse fields for national development'. But in its deepest sense education is not instrumentalist. That is to say, it is not to be justified outside of itself because it leads to the acquisition of formal skills or of certain desired psychological – social attributes. It must be respected in itself. Education is thus not a commodity to be acquired or possessed and then used, but a process of inestimable importance to individuals and society, although it can and does have enormous use-value. Education then, is a process of expansion and conversion, not in the sense of converting or turning students into doctors or engineers, but the widening and turning out of the mind — the creation, sustenance and development of self-critical awareness and independence of thought. It is an inner process of moral – intellectual development. What do you understand by the ‘instrumentalist’ view of education ?View question
Q.14145·Miscellaneous·2012·EasyToday’s developing economies use much less energy per capita than developed countries such as the United States did at similar incomes, showing the potential for lower-carbon growth. Adaptation and mitigation need to be integrated into a climate-smart development strategy that increases resilience, reduces the threat of further global warming, and improves development outcomes. Adaptation and mitigation measures can advance development, and prosperity can raise incomes and foster better institutions. A healthier population, living in better-built houses and with access to bank loans and social security is better equipped to deal with a changing climate and its consequences. Advancing robust, resilient development policies that promote adaptation is needed today because changes in the climate, already begun, will increase even in the short term. The spread of economic prosperity has always been intertwined with adaptation to changing ecological conditions. But as growth has altered the environment and as environmental change has accelerated, sustaining growth and adaptability demands greater capacity to understand our environment, generate new adaptive technologies and practices, and diffuse them widely. As economic historians have explained, much of humankind’s creative potential has been directed at adapting to the changing world. But adaptation cannot cope with all the impacts related to climate change, especially as larger changes unfold in the long term. Countries cannot grow out of harm’s way fast enough to match the changing climate. And some growth strategies, whether driven by the government or the market, can also add to vulnerability — particularly if they overexploit natural resources. Under the Soviet development plan, irrigated cotton cultivation expanded in water-stressed Central Asia and led to the near disappearance of the Aral Sea, threatening the livelihoods of fishermen, herders and farmers. And ‘clearing mangroves — the natural coastal buffers against storm surges — to make way for intensive farming or housing development, increases the physical vulnerability of coastal settlements, whether in Guinea or in Louisiana. Gita is prettier than Sita but not as pretty as Rita. Then,
Q.14146·Miscellaneous·2012·EasyWith the advent of genetic engineering, the gene pool of wild species is seen not as a repository of diversity that serves the evolutionary process, but as a crop improvement toolkit. The new understanding is that genes from any organism, including human genes, can be inserted into other organisms through genetic engineering. A single gene or a set of genes may be transferred to crops to increase their productivity, nutrition value, tolerance to drought or resistance to insects and pests. With the growth of biotechnology industry and the use of intellectual property rights (IPRs) to own and protect biological resources and knowledge, living organisms, including animals and plants, and their genes have become commodities. Patents on life and life processes are being granted on the assumption that genetic engineering produces new organisms which do not exist in nature and are therefore patentable. As a result, all living organisms and biological products are considered to be man-made and hence patentable. With patenting, farmers lose their freedom to use seeds from their crops to plant the next season. They become dependent on corporations that own the patents for obtaining seeds and are prevented from using their traditional knowledge. Biopiracy refers to the use of intellectual property systems to legitimize the exclusive ownership and control over biological resources and knowledge, which belong collectively to a community. The implication of genetic engineering is thus not only that seeds can be genetically modified, but that they can also be patented and owned as intellectual property. This transformation of seeds from being a common resource to a corporate monopoly is a threat to biodiversity as well as to the freedom of farmers. With reference to the passage, consider the following statements: 1. Genetic engineering can improve the productivity of crops. 2. Patent regime permits ownership over biological resources and life forms. 3. Genetic engineering is used to create new species which do not exist in nature. Which of the statements given above are correct?
Q.14147·Miscellaneous·2012·EasyToday’s developing economies use much less energy per capita than developed countries such as the United States did at similar incomes, showing the potential for lower-carbon growth. Adaptation and mitigation need to be integrated into a climate-smart development strategy that increases resilience, reduces the threat of further global warming, and improves development outcomes. Adaptation and mitigation measures can advance development, and prosperity can raise incomes and foster better institutions. A healthier population, living in better-built houses and with access to bank loans and social security is better equipped to deal with a changing climate and its consequences. Advancing robust, resilient development policies that promote adaptation is needed today because changes in the climate, already begun, will increase even in the short term. The spread of economic prosperity has always been intertwined with adaptation to changing ecological conditions. But as growth has altered the environment and as environmental change has accelerated, sustaining growth and adaptability demands greater capacity to understand our environment, generate new adaptive technologies and practices, and diffuse them widely. As economic historians have explained, much of humankind’s creative potential has been directed at adapting to the changing world. But adaptation cannot cope with all the impacts related to climate change, especially as larger changes unfold in the long term. Countries cannot grow out of harm’s way fast enough to match the changing climate. And some growth strategies, whether driven by the government or the market, can also add to vulnerability — particularly if they overexploit natural resources. Under the Soviet development plan, irrigated cotton cultivation expanded in water-stressed Central Asia and led to the near disappearance of the Aral Sea, threatening the livelihoods of fishermen, herders and farmers. And ‘clearing mangroves — the natural coastal buffers against storm surges — to make way for intensive farming or housing development, increases the physical vulnerability of coastal settlements, whether in Guinea or in Louisiana. Mr. Kumar drives to work at an average speed of 48 km per hour. The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance. How far is his office ?
Q.14148·Miscellaneous·2012·EasyToday’s developing economies use much less energy per capita than developed countries such as the United States did at similar incomes, showing the potential for lower-carbon growth. Adaptation and mitigation need to be integrated into a climate-smart development strategy that increases resilience, reduces the threat of further global warming, and improves development outcomes. Adaptation and mitigation measures can advance development, and prosperity can raise incomes and foster better institutions. A healthier population, living in better-built houses and with access to bank loans and social security is better equipped to deal with a changing climate and its consequences. Advancing robust, resilient development policies that promote adaptation is needed today because changes in the climate, already begun, will increase even in the short term. The spread of economic prosperity has always been intertwined with adaptation to changing ecological conditions. But as growth has altered the environment and as environmental change has accelerated, sustaining growth and adaptability demands greater capacity to understand our environment, generate new adaptive technologies and practices, and diffuse them widely. As economic historians have explained, much of humankind’s creative potential has been directed at adapting to the changing world. But adaptation cannot cope with all the impacts related to climate change, especially as larger changes unfold in the long term. Countries cannot grow out of harm’s way fast enough to match the changing climate. And some growth strategies, whether driven by the government or the market, can also add to vulnerability — particularly if they overexploit natural resources. Under the Soviet development plan, irrigated cotton cultivation expanded in water-stressed Central Asia and led to the near disappearance of the Aral Sea, threatening the livelihoods of fishermen, herders and farmers. And ‘clearing mangroves — the natural coastal buffers against storm surges — to make way for intensive farming or housing development, increases the physical vulnerability of coastal settlements, whether in Guinea or in Louisiana. Consider the following statement : "Though quite expensive, television is not a luxury item, as one can learn many things through television." Which one of the following is a valid inference from the above statement ?