Directions for the following 4 (four) items:
Read the following two passages and answer the items that follow the passages. Your answers to these items should be based on the passages only.
Passage-1
Each State in India faces a distinctive set of challenges regarding the impact of warming, but also offers its own set of opportunities for reducing emissions depending on its natural resources. For example, coastal States need to take action to protect their shores from sea level rise, districts that are drier need to prepare for variable monsoon precipitation. Himalayan regions have their own unique challenges, and selected parts of peninsular India and offshore areas offer great opportunities for harnessing wind power. These various aspects need to be considered for developing clear and sustainable goals for the future.
(a) The mitigation and adaptation strategies to address/tackle the climate change is essentially the responsibility of each State
(b) India is too diverse to implement any effective strategy or programme to address/tackle the climate change.
(c) It is basically the responsibility of the Union Government to implement the climate action plans and ensure net zero emissions.
(d) India needs to formulate effective climate change mitigation and adaptation strategies at the State/region level.
Passage-1
Each State in India faces a distinctive set of challenges regarding the impact of warming, but also offers its own set of opportunities for reducing emissions depending on its natural resources. For example, coastal States need to take action to protect their shores from sea level rise, districts that are drier need to prepare for variable monsoon precipitation. Himalayan regions have their own unique challenges, and selected parts of peninsular India and offshore areas offer great opportunities for harnessing wind power. These various aspects need to be considered for developing clear and sustainable goals for the future.
Which of the above assumptions is/are valid ?
(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II
Passage – 2
If the social inequality is the most acutely felt social problem in India, insecurity, more than poverty, is the most acutely felt economic problem. Besides those below the official poverty line, even those just over the poverty line are subject to multiple economic insecurities of various kinds (due to wealth and/or health risks, market fluctuations, job-related uncertainties). Many Government policies are actually intended towards mitigating these insecurities.
(a) India’s political executive should be aware that poverty and social inequality and the consequent sense of insecurity is the main social problem.
(b) In India, poverty is the primary reason for social inequality and insecurity.
(c) Poverty and social inequality are so intricately linked that they pose an unmanageable crisis for India.
(d) Insecurity, more than poverty, is the main economic issue that Government policies must address.
Passage – 2
If the social inequality is the most acutely felt social problem in India, insecurity, more than poverty, is the most acutely felt economic problem. Besides those below the official poverty line, even those just over the poverty line are subject to multiple economic insecurities of various kinds (due to wealth and/or health risks, market fluctuations, job-related uncertainties). Many Government policies are actually intended towards mitigating these insecurities.
I. People above the poverty line also are prone to suffer from anxiety about economic insecurity.
II. Eradication of poverty can result in peace and social equality in the country.
Which of the above assumptions is/are valid?
(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II
Directions for the following 4 (four) items:
Read the following two passages and answer the items that follow the passages. Your answers to these items should be based on the passages only.
Passage – 1
In our country, regrettably, teaching and learning for the examination have been our forte but the new demands of society and the future of work require critical and independent thinking, learning through doing, asking questions from multiple disciplinary perspectives on the same issue, using evidence for building arguments, and reflecting and articulation. Higher education should not “either be a mere servant of the government policy or a passive respondent to public mood.” Higher learning is all about how to think rather than what to think. Teaching has to be re-invented.
(a) India does not have enough resources for promoting quality education in its universities.
(b) The institutions of higher learning in the country should not be under the control of the Government.
(c) Classroom approach to higher education should be done away with.
(d) Classroom needs to be reimagined and teaching needs to be re-invented.
Passage – 1
In our country, regrettably, teaching and learning for the examination have been our forte but the new demands of society and the future of work require critical and independent thinking, learning through doing, asking questions from multiple disciplinary perspectives on the same issue, using evidence for building arguments, and reflecting and articulation. Higher education should not “either be a mere servant of the government policy or a passive respondent to public mood.” Higher learning is all about how to think rather than what to think. Teaching has to be re-invented.
Which of the above assumptions is/are valid?
(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II
Passage – 2
If there is inequality in the pattern of population growth, there is greater inequality in food production and utilization. As societies become wealthier, their consumption of animal products increases. This means that a greater proportion of such basic foodstuff as grains and legumes that could feed humans directly is instead being converted into feed for poultry and large farm animals. Yet this conversion of plant-based food into animal food for humans is far from efficient. Only 16% of the calories fed to chickens are recovered by us when we eat them. This conversion rate goes down to five to seven per cent in large animals that are fed grain to add fat and some protein before slaughter.
(a) There is an urgent need for a public policy to promote the consumption of cereal-based foods in wealthier societies.
(b) Animal-based food is far less efficient than grain/plant-based food in terms of production and utilization.
(c) Plant-based protein should replace the animal-based protein in our daily diets.
(d) Inequality in food production and consumption is inevitable in any fast changing society.
Passage – 2
If there is inequality in the pattern of population growth, there is greater inequality in food production and utilization. As societies become wealthier, their consumption of animal products increases. This means that a greater proportion of such basic foodstuff as grains and legumes that could feed humans directly is instead being converted into feed for poultry and large farm animals. Yet this conversion of plant-based food into animal food for humans is far from efficient. Only 16% of the calories fed to chickens are recovered by us when we eat them. This conversion rate goes down to five to seven per cent in large animals that are fed grain to add fat and some protein before slaughter.
Which of the above assumptions is/are valid?
(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II
(a) 3
(b) 4
(c) 5
(d) 7
24, X, 12, 18, 36, 90 ?
(a) 18
(b) 12
(c) 9
(d) 6
(a) 12
(b) 13
(c) 14
(d) 15
(a) SPRQ
(b) QRPS
(c) QRSP
(d) SPQR
Directions for the following 4 (four) items:
Read the following two passages and answer the items that follow the passages. Your answers to these items should be based on the passages only.
Passage-1
Maintaining an ecosystem just to conserve biodiversity will affect its commercial potential as well as the livelihoods dependent on the ecosystem. There is also a conflict between using an ecosystem only for livelihoods, for commercial exploitation, or strictly for conservation. Deforestation caused due to commercial exploitation will lead to indirect harm like floods, siltation problems and microclimatic instability, apart from adversely affecting livelihoods dependent on forests. These conflicts are particularly acute in developing countries where the dependence of people on the ecosystem is significant, and commercial exploitation has the potential to boost national income.
(a) Conservation of biodiversity is not an issue to be worried about when some people depend on ecosystems for their livelihoods.
(b) Commercial exploitation of forests goes against the fundamental rights of the people dependent on forests for food and shelter.
(c) Sustenance of livelihood and degradation of ecosystem while being together exacerbate one another, leading to conflicts and imbalance.
(d) Commercial exploitation of ecosystems should be completely stopped.
Passage-1
Maintaining an ecosystem just to conserve biodiversity will affect its commercial potential as well as the livelihoods dependent on the ecosystem. There is also a conflict between using an ecosystem only for livelihoods, for commercial exploitation, or strictly for conservation. Deforestation caused due to commercial exploitation will lead to indirect harm like floods, siltation problems and microclimatic instability, apart from adversely affecting livelihoods dependent on forests. These conflicts are particularly acute in developing countries where the dependence of people on the ecosystem is significant, and commercial exploitation has the potential to boost national income.
Which of the above assumptions is/are valid?
(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II
Passage-2
The history of renewable energy suggests there is a steep learning curve, meaning that, as more is produced, costs fall rapidly because of economies of scale and learning by doing. The firms’ green innovation is path-dependent the more a firm does, the more it is likely to do in the future. The strongest evidence for this is the collapse in the price of solar energy, which became about 90% cheaper during the 2010s, repeatedly beating forecasts. Moving early and gradually gives economies more time to adjust, allowing them to reap the benefits of path-dependent green investment without much disruption. A late, more chaotic transition is costlier.
(a) Economies of scale is essential for transition to green growth.
(b) Modern technological progress is intensely linked to path-dependent innovations.
(c) Countries with large economies are in a better position to adopt green technologies.
(d) Timing plays a crucial role in the case of green technology development.
Passage-2
The history of renewable energy suggests there is a steep learning curve, meaning that, as more is produced, costs fall rapidly because of economies of scale and learning by doing. The firms’ green innovation is path-dependent the more a firm does, the more it is likely to do in the future. The strongest evidence for this is the collapse in the price of solar energy, which became about 90% cheaper during the 2010s, repeatedly beating forecasts. Moving early and gradually gives economies more time to adjust, allowing them to reap the benefits of path-dependent green investment without much disruption. A late, more chaotic transition is costlier.
I. Path-dependent green investments will eventually most likely benefit growth as well as public finances in a country like India.
II. If other green technologies follow the same pattern as that of solar energy, there will most likely be an easy green transition.
Which of the above assumptions is/are valid?
(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II
(a) 6
(b) 7
(c) 8
(d) 9
(a) 4
(b) 5
(c) 6
(d) More than 6
(a) None
(b) One
(c) Three
(d) More than three
January, January, December, October, X, March, October, Y, September
(a) July, May
(b) July, April
(c) June, May
(d) June, April
(a) 72
(b) 144
(c) 216
(d) Cannot be determined
(a) p(104-k2)2=q × 108
(b) p(104-k2)2=q × 104
(c) p(104-k²) = q × 104
(d) p(104-k²) = q × 108
Directions for the following 4 (four) items:
Read the following two passages and answer the items that follow the passages. Your answers to these items should be based on the passages only.
Passage-1
One of the dismal realities of the agricultural sector in independent India has been that it never experienced a high-growth phase, unlike the non-agricultural economy. The highest decadal growth (compound annual growth rate or CAGR) for agriculture has been just 3-5% in the 1980s. Also, after experiencing a spurt in decadal growth during the 1980s, agricultural growth suffered relative stagnation thereafter. This is in sharp contrast to non-agricultural growth, which consistently increased from the 1980s to 2000s.
(a) The benefit of economic reforms percolates down more slowly to the agriculture sector than in other sectors of the economy.
(b) For India, the green revolution was not as useful as it was expected to be.
(c) India lagged behind other countries in adapting mechanized and modern farming.
(d) Rural-to-urban migration resulted in the stagnant agriculture sector.
Passage-1
One of the dismal realities of the agricultural sector in independent India has been that it never experienced a high-growth phase, unlike the non-agricultural economy. The highest decadal growth (compound annual growth rate or CAGR) for agriculture has been just 3-5% in the 1980s. Also, after experiencing a spurt in decadal growth during the 1980s, agricultural growth suffered relative stagnation thereafter. This is in sharp contrast to non-agricultural growth, which consistently increased from the 1980s to 2000s.
The growing divergence between the fortunes of the agricultural and non-agricultural economy in India could have been reduced/contained by:
Which of the above assumptions is/are valid?
(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II
Passage-2
In our country, handlooms are equated with a culture that ensures a continuity of tradition. This idea has become part of the public policy-framing and provides a legitimate basis for the State to support the sector. But the notion of tradition as a single, linear entity is being strongly contested today. The narratives dominant in defining culture/tradition in a particular way are seen to have emerged as the identities and histories of large sections. The discounted and, at times, forcibly stifled identities are fighting for their rightful place in history, Against this backdrop, when we promote handloom as a traditional industry, it is not surprising that large sections of our population thoose to ignore it.
(a) We need to free the handloom industry from the limited narrative linked to preserving cultural heritage.
(b) Continued State support to the handloom industry ensures the preservation of some of our glorious art forms and old traditions.
(c) Household units of the handloom sector should be modernized and made an economically viable organized industry.
(d) Handloom products need to be converted to machine-made designer products so as to make them more popular.
Passage-2
In our country, handlooms are equated with a culture that ensures a continuity of tradition. This idea has become part of the public policy-framing and provides a legitimate basis for the State to support the sector. But the notion of tradition as a single, linear entity is being strongly contested today. The narratives dominant in defining culture/tradition in a particular way are seen to have emerged as the identities and histories of large sections. The discounted and, at times, forcibly stifled identities are fighting for their rightful place in history, Against this backdrop, when we promote handloom as a traditional industry, it is not surprising that large sections of our population thoose to ignore it.
Which of the above assumptions is/are valid?
(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II
(a) 20
(b) 21
(c) 22
(d) 23
(a) 6
(b) 15/2
(c) 15/2
(d) None of the above
What is the number of possible values of k?
(a) 4
(b) 5
(c) 6
(d) 7
(a) 6
(b) 7
(c) 8
(d) More than 8
(a) 2
(b) 3
(c) 4
(d) More than 4
(a) В, С, В, С, А
(b) A, C, B, C, A
(c) B, C, B, A, C
(d) C, B, B, A, C
Directions for the following 4 (four) items:
Read the following two passages and answer the items that follow the passages. Your answer to these items should be based on the passages only.
Passage-1
It is hard to predict how changes in the climate and the atmosphere’s chemistry will affect the prevalence and virulence of agricultural diseases. But there is a risk that such changes will make some plant infections more common in all climatic zones, perhaps catastrophically so. Part of the problem is that centuries of selective breeding have refined the genomes of most high-value crops. They are spectacular at growing in today’s conditions but genetic variations that are not immediately useful to them have been bred out. This is good for yields but bad for coping with changes. A minor disease or even an unknown one could suddenly rampage through a genetically honed crop.
(a) Global climate change adversely affects the productivity of crops.
(b) Our total dependence on genetically honed crops entails possible food insecurity.
(c) Our food security should not depend on agricultural productivity alone.
(d) Genetically honed crops should be replaced with their wild varieties in our present cultivation practices.
Passage-1
It is hard to predict how changes in the climate and the atmosphere’s chemistry will affect the prevalence and virulence of agricultural diseases. But there is a risk that such changes will make some plant infections more common in all climatic zones, perhaps catastrophically so. Part of the problem is that centuries of selective breeding have refined the genomes of most high-value crops. They are spectacular at growing in today’s conditions but genetic variations that are not immediately useful to them have been bred out. This is good for yields but bad for coping with changes. A minor disease or even an unknown one could suddenly rampage through a genetically honed crop.
Which of the above assumptions is/are valid?
(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II
Passage -2
“A good statesman, like any other sensible human being, learns more from his opponents than from his fervent supporters. For his supporters will push him to disaster unless his opponents show him where the dangers are. So if he is wise he will often pray to be delivered from his friends, because they will ruin him. But, though it hurts, he ought also to pray never to be left without opponents; for they keep him on the path of reason and good sense. The national unity of free people depends upon a sufficiently even balance of political power to make it impracticable for the administration to be arbitrary and for opposition to be revolutionary and irreconcilable.”
(a) Without opposition parties, the administration in a democracy gets to become more responsible.
(b) Democracy needs to have revolutionaries in opposition to keep the government alert.
(c) Rulers in a democracy need the support of opposition for their political survival.
(d) In a democracy, the opposition is indispensable for the balance of political power and good governance.
Passage -2
“A good statesman, like any other sensible human being, learns more from his opponents than from his fervent supporters. For his supporters will push him to disaster unless his opponents show him where the dangers are. So if he is wise he will often pray to be delivered from his friends, because they will ruin him. But, though it hurts, he ought also to pray never to be left without opponents; for they keep him on the path of reason and good sense. The national unity of free people depends upon a sufficiently even balance of political power to make it impracticable for the administration to be arbitrary and for opposition to be revolutionary and irreconcilable.”
Which of the above assumptions is/are valid?
(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II
Select the correct answer using the code given below:
(a) Only two
(b) Only three
(c) Only four
(d) Only five
(a) 399000
(b) 420000
(c) 440000
(d) 630000
(a) 54321
(b) 81913
(c) 71913
(d) 71813
(a) 3
(b) 4
(c) 5
(d) 6
(a) 3
(b) 4
(c) 5
(d) 6
1, 3, 6, 11, 18, Χ, 42 ?
(a) 26
(b) 27
(c) 29
(d) 30
Directions for the following 2 (two) items:
Read the following two passages and answer the items that follow the passages. Your answers to these items should be based on the passages only.
Passage-1
A single number for inflation is an aggregate across different commodities and services the price rise differs for different items of consumption. So, the single number is arrived at by assigning weights to different commodities and services. For WPI, the weights in production are used; for CPI, the consumption basket is used. But people are not homogeneous. The consumption basket is vastly different for the poor, the middle classes, and the rich. Hence, the CPI is different for each of these classes and a composite index requires averaging the baskets.
(a) We must use WPI exclusively in measuring price rise and CPI should be done away with.
(b) The present calculation of inflation rate does not correctly measure price rise of individual item/commodity.
(c) Inflation data under-presents services in the consumption basket.
(d) Knowledge of inflation rate is not really of any use to anybody in the country.
Passage -2
Trust stands commonly defined being vulnerable to others. as Entrepreneurship implies trust in others and willingness to expose oneself to betrayal. Trust in expert systems is the essence of globalizing behaviour; trust itself emerges as a super-commodity in the social market and defines the characteristics of goods and services in a global market. Trusting conduct also means holding others in good esteem, and an optimism that they are, or will be, competent in certain respects.
(a) Trustworthiness cannot be expected in entrepreneurship.
(b) Trustworthy people are the most vulnerable people.
(c) No economic activity is possible without being exposed to betrayal.
(d) Trust is important though it entails risk.
Question:
In a football match, team P playing against Q was behind by 3 goals with 10 minutes remaining. Does team P win the match?
Statement I: Team P scored 4 goals in the last 10 minutes.
Statement II: Team Q scored a total of 4 goals in the match.
Which one of the following is correct in respect of the above question and the Statements?
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other statement alone.
(b) The Question can be answered by using either Statement alone.
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
(d) The Question cannot be answered even using any of the Statements.
Question:
Is (p + q)2 – 4 pq, where p, q are natural numbers, positive ?
Statement I: p < q.
Statement II: p > q.
Which one of the following is correct in respect of the above question and the Statements?
(a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other statement alone.
(b) The Question can be answered by using either Statement alone.
(c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
(d) The Question can be answered even without using any of the Statements.
Value-I = Runs scored by X
Value-II = Runs scored by Y
Value-III = Runs scored by Z
Which one of the following is correct?
(a) Value-I < Value-II < Value-III
(b) Value-III < Value-II < Value-I
(c) Value-I (d) Cannot be determined due insufficient data
Value-I = Maximum value of p × q when p, q are positive integers.
Value-II = Maximum value of p × q when p ≥ = – 6 q ≥ = –4
Which one of the following is correct?
(a) Value-I < Value-II
(b) Value-II < Value-I
(c) Value-I = Value-II
(d) Cannot be determined due to insufficient data
Value-I = Minimum value of the average of the numbers of the set when they are consecutive integers ≥ – 5.
Value-II = Minimum value of the product of the numbers of the set when they are consecutive non-negative integers.
Which one of the following is correct?
(a) Value-I < Value-II
(b) Value-II < Value-I
(c) Value-I = Value-II
(d) Cannot be determined due to insufficient data
(a) k
(b) k–1
(c) k+1
(d) k/2
Select the correct answer using the code given below:
(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II
(a) There is only one such number.
(b) There are only two such numbers.
(c) There can be more than one such number.
(d) No such number exists.
Directions for the following 4 (four) items:
Read the following two passages and answer the items that follow the passages. Your answers to these items should be based on the passages only.
Passage – 1
Over the next 30 years, many countries are promising to move to net-zero carbon, implying that household emissions will have to be cut to close to nothing. A leading climate scientist reckons that, at best, half the reduction might be achieved through demand-side measures, such as behavioural changes by individuals and households. And even that would require companies and governments to provide more incentives to change through supply-side investments to make low-carbon options cheaper and more widely available.
(a) Moving to net-zero carbon is possible only by the reduction in household emissions.
(b) Low-carbon behaviour in people can be brought about by incentivising them.
(c) Cheaper goods and services can be made available to people by using low-carbon technologies.
(d) Manufacturing industries that use low-carbon technologies should be provided with subsidies.
Passage – 1
Over the next 30 years, many countries are promising to move to net-zero carbon, implying that household emissions will have to be cut to close to nothing. A leading climate scientist reckons that, at best, half the reduction might be achieved through demand-side measures, such as behavioural changes by individuals and households. And even that would require companies and governments to provide more incentives to change through supply-side investments to make low-carbon options cheaper and more widely available.
Which of the above assumptions is/are valid?
(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II
Passage – 2
In only 50 years, the world’s consumption of raw materials has nearly quadrupled, to more than 100 billion tons. Less than 9% of this is reused. Batteries of old vehicles contain materials such as lithium, cobalt, manganese and nickel that are pricey and can be hard to obtain. Supply chains are long and complicated. Buyers’ risks are being aggravated by their suppliers’ poor environmental and labour standards. Reusing materials makes sense. Once batteries reach the ends of their lives, they should go back to a factory where their ingredients can be recovered and put into new batteries.
(a) Green economy is not possible without reusing critical minerals.
(b) Every sector of economy should adapt the reuse of material immediately. resources
(c) Circular economy can be beneficial for sustainable growth.
(d) Circular use of material resources is the only option for some industries for their survival.
Passage – 2
In only 50 years, the world’s consumption of raw materials has nearly quadrupled, to more than 100 billion tons. Less than 9% of this is reused. Batteries of old vehicles contain materials such as lithium, cobalt, manganese and nickel that are pricey and can be hard to obtain. Supply chains are long and complicated. Buyers’ risks are being aggravated by their suppliers’ poor environmental and labour standards. Reusing materials makes sense. Once batteries reach the ends of their lives, they should go back to a factory where their ingredients can be recovered and put into new batteries.
Which of the above assumptions is/are valid?
(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II
(a) 8 minutes
(b) 10 minutes
(c) 12 minutes
(d) 16 minutes
(a) 0
(b) 1
(c) 2
(d) 3
(a) 1
(b) 13
(c) 37
(d) 481
(a) 0
(b) 3
(c) 6
(d) 9
P : I did not steal. Q stole it.
Q : R did not steal. I did not steal.
R : I did not steal. I do not know who did it.
Who stole the mobile phone?
(a) P
(b) Q
(c) R
(d) Cannot be concluded
Which of the statements given above is/are correct?
(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II
Directions for the following 3 (three) items:
Read the following two passages and answer the items that follow the passages. Your answers to these items should be based on the passages only.
Passage – 1
There has been no democracy that has grown economically without corporate capitalism. It helps in modernizing the economy and enabling the transition from rural to urban, and agriculture to industry and services, which are inevitable with growth. It generates jobs and there is no other way to fix a country’s unemployment challenge without a further impetus to private business, Big companies can operate on a large scale and become competitive both domestically and externally. A vibrant corporate capitalist base also leads to additional revenues for the State which in turn, can be used for greater welfare for the marginalized and creating a more level playing field in terms of opportunities.
(a) Corporate capitalism is important for economic growth of a State and also for democracy.
(b) Corporate capitalism is imperative for a modern State to achieve its political objectives.
(c) No State can ensure its economic survival for long without the role of corporate capitalism.
(d) Corporate capitalism and democracy have mutual dependence for their continued existence.
Passage – 1
There has been no democracy that has grown economically without corporate capitalism. It helps in modernizing the economy and enabling the transition from rural to urban, and agriculture to industry and services, which are inevitable with growth. It generates jobs – and there is no other way to fix a country’s unemployment challenge without a further impetus to private business. Big companies can operate on a large scale and become competitive both domestically and externally. A vibrant corporate capitalist base also leads to additional revenues for the State – which in turn, can be used for greater welfare for the marginalized and creating a more level playing field in terms of opportunities.
Which of the above assumptions is/are valid?
(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II
Passage – 2
“A network of voluntary associations stands as a ‘buffer’ between the relatively powerless individual and the potentially powerful State.”
(a) It emphasizes the inability of the State to enforce its will in practice against the opposition of certain groups within it.
(b) It is a cooperative organization for the promotion of the well-being and development of the personality of its members.
(c) It takes individuals out of a state of isolation and gives them a chance to participate in the common endeavour.
(d) It permits citizens to have a variety of loyalties and allegiance.
Which of the statements given above is/are correct?
(a) I only
(b) II only
(c) Both I and II
(d) Neither I nor II
(a) 20 km
(b) 25 km
(c) 31 km
(d) 37 km
| 1. |
A solid cube is painted yellow on all its faces. The cube is then cut into 60 smaller but equal pieces by making the minimum number of cuts. Which of the following statements is/are correct? I. The minimum number of cuts is 9. Select the correct answer using the code given below: (a) I only |
Let the cuts be made by slicing the cube with planes parallel to its three pairs of faces. Factor 60 into three positive integers whose sum is minimal. 1×6×10 → sum = 17 |
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| 2. |
The petrol price shot up by 10% as a result of the hike in crude oil prices. The price of petrol before the hike was 90 per litre. A person travels 2200 km every month and his car gives a mileage of 16 km per litre. By how many km should he reduce his travel if he wants to maintain his expenditure at the previous level? (a) 180 km
|
(b) is the right Answer. |
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| 3. |
A 4-digit number N is such that when divided by 3, 5, 6, 9 leaves a remainder 1, 3, 4, 7 respectively. What is the smallest value of N? (a) 1068
|
LCM of (3, 5, 6, 9) = 90 The smallest 4-digit number of the form 90k is 1080. Now it is given that, N when divided by 3, 5, 6, 9 leaves a remainder of 1, 3, 4, 7 respectively. Since the difference is the same in each case {3 - 1 = 5 – 3 = 6 – 4 = 9 – 7), we should subtract this difference (i.e. 2) from 1080 to get the required number. So, N = 1080 - 2 = 1078 (c) is the right Answer. |
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| 4. |
If 7 × 24 = 25 and 12 × 16 = 20, then what is 16 × 63 equal to ? (a) 70
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Note that in both given examples the two numbers form a Pythagorean-triple leg pair: Applying the same logic to 16 * 63: Therefore, 16 * 63 = 65. (c) is the right Answer. |
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| 5. |
A tram overtakes 2 persons X and Y walking at an average speed of 3 km/hr and 4 km/hr in the same direction and completely passes them in 8 seconds and 9 seconds respectively. What is the length of the tram? (a) 15 m
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Let t be speed of train and x be the length of the train (c) is the right Answer.
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| 6. |
If N² = 12345678987654321, then how many digits does the number N have? (a) 8 |
Observe the given square is a 17-digit palindrome:
Thus N = 111 111 111, which clearly has 9 digits. (b) is the right Answer. |
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| 7. |
A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question: What is the smallest 1-digit number having exactly 4 distinct factors? Statement I: 2 is one of the factors. Which one of the following is correct in respect of the above Question and the Statements? (a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other statement alone. |
The smallest 1-digit number having exactly 4 distinct factors is 6. To determine this, list all 1-digit numbers (1 through 9) and their factors:
The 1-digit numbers with exactly 4 distinct factors are 6 and 8. The smallest among them is 6. Now, evaluate the statements:
Since the question can be answered without using either statement, the correct option is: (d) The Question can be answered even without using any of the Statements. |
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| 8. |
A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question: How is Q related to P? Statement I: P has two sisters, R and S. Which one of the following is correct in respect of the above Question and the Statements? (a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other statement alone. |
The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone. Explanation Analysis of Each Statement
Using Both Statements Together
Only with both statements can we deduce how Q is related to P (uncle/aunt). Individually, neither statement is sufficient. Therefore, option (c) is correct. |
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| 9. |
A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question: Let P, Q, R, S be distinct non-zero digits. If PP × PQ = RRSS, where P ≤ 3 and Q ≤ 4, then what is Q equal to ? Statement I: R = 1. Which one of the following is correct in respect of the above Question and the Statements? (a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other statement alone. |
RRSS = 1122 (As per the statements 1 and 2) 30 x 30 = 900 35 x 35 = 1225 So it must be 33 x 34 = 1122. (c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone. |
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| 10. |
What is the remainder when 93+94+95 + 96 + … + 9100 is divided by 6? (a) 0
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Alternately First term a = 9 Common ratio r = 9 Number of terms n = 100 The sum of a finite geometric series is found with the formula S = a(rⁿ - 1 ) / (r - 1), where 'a' is the first term, 'r' is the common ratio, and 'n' is the number of terms. S = 9(9100 -1) / (9 - 1) = [9101-9] / 8 Cyclicity of 9 is 9, 1, 9, 1 (i.e.) Reaminder when divided by 6 will be 3,0, 3, 0, 3.... For your understanding to calculate the cyclicity of 9
Since the remainders alternate every term: 0 is the remainder. (a) is the answer. |
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| 11. |
In a certain code if 64 is written as 343 and 216 is written as 729, then how is 512 written in that code? (a) 1000
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64 = 4³ and its code 343 = 7³ In each case the cube‐root is increased by 3: Apply the same rule to 512: Hence, 512 is written as 1331. |
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| 12. |
Consider the following statements: I. If A < B > C < D > E > F ≥ G = H; then B is always greater than E.
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Statement I A < B > C < D > E > F ≥ G = H We need to determine whether B is always greater than E. Breakdown
Now, can we conclude that B > E? There is no direct comparison between B and E.
So, B > C < D > E Statement I is not always true Statement II P > Q = R > S = T < U = V > W 12 >10 = 10 > 8 = 8 < 9 = 9 >5 We need to determine whether S is always less than V. Breakdown
From this:
This is a valid and consistent chain. Statement II is always true (b) II only |
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| 13. |
What is the unit digit in the multiplication of 1 × 3 × 5 × 7 × 9 ×… × 999? (a) 1 |
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