csat pyq fc - Sheet1 Flashcards
1,”Based on the above passage, the following assumptions have been made: 1. Collection, processing and segregation of municipal waste should be with government agencies. 2. Resource recovery and recycling require technological inputs that can be best handled by private sector enterprises. Which of the assumptions given above is/are correct? (a) 1 only (b) 2 only (c) Both 1 and 2 (d) Neither 1 nor 2”,”In India, the segregation of municipal waste at source is rare. Recycling is mostly with the informal sector. More than three-fourths of the municipal budget goes into collection and transportation, which leaves very little for processing/resource recovery and disposal. Where does waste-to-energy fit into all this? Ideally it fits in the chain after segregation (between wet waste and rest), collection, recycling, and before getting to the landfill. Which technology is most appropriate in converting waste to energy depends on what is in the waste (that is biodegradable versus non-biodegradable component) and its calorific value. The biodegradable component of India’s municipal solid waste is a little over 50 per cent, and bio methanation offers a major solution for processing this.”,a) 1 only,b) 2 only,c) Both 1 and 2,d) Neither 1 nor 2
1,d,Statement 1 is incorrect: The passage nowhere makes any assertion indicating that collection, processing and segregation of municipal waste should be with government agencies. In fact, the passage suggests that “More than three-fourths of the municipal budget goes into collection and transportation, which leaves very little for processing/resource recovery and disposal”, indicating how the municipal system (under the government) is already stressed. Statement 2 is incorrect: The passage nowhere makes any assertion indicating that resource recovery and recycling require technological inputs that can be best handled by private sector enterprises. The passage only limits itself to saying that “which technology is most appropriate in converting waste to energy depends on what is in the waste (that is biodegradable versus non-biodegradable component) and its calorific value.” and further that “The biodegradable component of India’s municipal solid waste is a little over 50 per cent, and bio methanation offers a major solution for processing this.” So, the passage makes a case for the mode of resource recovery and recycling, i.e., bio methanation, rather than which sector should perform it.
2,”Which one of the following statements best reflects the crux of the passage? a) Generation of energy from municipal solid waste is inexpensive. b) Bio methanation is the most ideal way of generating energy from municipal solid waste. c) Segregation of municipal solid waste is the first step in ensuring the success of waste-to- energy plants. d) The biodegradable component of India’s municipal solid waste is not adequate to provide energy from waste efficiently/effectively.”,”In India, the segregation of municipal waste at source is rare. Recycling is mostly with the informal sector. More than three-fourths of the municipal budget goes into collection and transportation, which leaves very little for processing/resource recovery and disposal. Where does waste-to-energy fit into all this? Ideally it fits in the chain after segregation (between wet waste and rest), collection, recycling, and before getting to the landfill. Which technology is most appropriate in converting waste to energy depends on what is in the waste (that is biodegradable versus non-biodegradable component) and its calorific value. The biodegradable component of India’s municipal solid waste is a little over 50 per cent, and bio methanation offers a major solution for processing this.”,c) Segregation of municipal solid waste is the first step in ensuring the success of waste-to- energy plants.
2,c,Option (a) is incorrect: The passage nowhere specifies or even dwells upon the cost of generation of energy from municipal solid waste. Option (b) is incorrect: The passage does outrightly state that “The biodegradable component of India’s municipal solid waste is a little over 50 per cent, and bio methanation offers a major solution for processing this.” However, ‘major solution’ cannot be equated with ‘most ideal way’ in the strict sense. Further, the question is asking us to suggest the crux of the passage. The fact about bio methanation offering a major solution is a solution to the crux of the passage, which is about the issue of the rarity of segregation of municipal waste at source and achieving waste-to-energy amidst such a challenging scenario. Option (c) is correct: The passage begins with laying the central theme that “In India, the segregation of municipal waste at source is rare.” Further, it goes on to say, “Where does waste-to-energy fit into all this? Ideally, it fits in the chain after segregation (between wet waste and rest), collection, recycling, and before getting to the landfill.” This line lays the sequential chain of waste processing, which can further be re-aligned to generate energy. Hence from these lines, it is clear that the segregation of municipal solid waste is the first step in ensuring the success of waste-to-energy plants. Option (d) is incorrect: The passage clearly refutes this by mentioning that “The biodegradable component of India’s municipal solid waste is a little over 50 per cent, and bio methanation offers a major solution for processing this.”
3,”Based on the above passage, the following assumptions have been made: 1. Organic farming is inherently unsafe for both farmers and consumers. 2. Farmers and consumers need to be educated about eco-friendly food. Which of the assumptions given above is/are correct? a) 1 only b) 2 only c) Both 1 and 2 d) Neither 1 nor 2”,”There is a claim that organic farming is inherently safer and healthier. The reality is that because the organic farming industry is still young and not well-regulated in India, farmers and consumers, alike, are not only confused about what products are best for them, but sometimes use products in ways that could harm them as well. For example, since organic fertilizers are difficult to obtain on a large scale in India, farmers often use farmyard manure, which may contain toxic chemicals and heavy metals. Certain plant sprays, such as Datura flower and leaf spray, have an element called atropine. If it is not applied in the right dose, it can act on the nervous system of the consumer. Unfortunately, how much and when to use it are not well-researched or regulated issues.”,a) 1 only,b) 2 only,c) Both 1 and 2,d) Neither 1 nor 2
3,b,Statement 1 is incorrect: This statement is incorrect because of the use of the word “inherently”. The passage states that “The reality is that because the organic farming industry is still young and not well-regulated in India, farmers and consumers, alike…in ways that could harm them as well.” Therefore, we must infer that organic farming is not inherently unsafe for both farmers and consumers, but might be unsafe due to factors such as lack of regulation, “organic fertilizers are difficult to obtain on a large scale”, “If, not applied in the right dose” etc. Statement 2 is correct: This assumption closely aligns with the content of the passage. The passage discusses the confusion among farmers and consumers due to the lack of regulation and research in the organic farming industry. This implies that there is a need for more education about what constitutes eco-friendly food and how it should be produced and consumed safely.
4,”Which one of the following statements best reflects the most logical, rational and practical massage conveyed by the author of the passage? a) In India, organic farming should not be promoted as a substitute for conventional farming. b) There are no safe organic alternatives to chemical fertilizers. c) In India, farmers need to be guided and helped to make their organic farming sustainable. d) The aim of organic farming should not be to generate huge profits as there is still no global market for its products.”,”There is a claim that organic farming is inherently safer and healthier. The reality is that because the organic farming industry is still young and not well-regulated in India, farmers and consumers, alike, are not only confused about what products are best for them, but sometimes use products in ways that could harm them as well. For example, since organic fertilizers are difficult to obtain on a large scale in India, farmers often use farmyard manure, which may contain toxic chemicals and heavy metals. Certain plant sprays, such as Datura flower and leaf spray, have an element called atropine. If it is not applied in the right dose, it can act on the nervous system of the consumer. Unfortunately, how much and when to use it are not well-researched or regulated issues.”,c) In India, farmers need to be guided and helped to make their organic farming sustainable.
4,c,Option (a) is incorrect: It is a little extreme in drawing an inference that In India, organic farming should not be promoted as a substitute for conventional farming. The passage is using a cautionary, rather than an exaggerated, tone regarding organic farming. Further, the author is nowhere found comparing or even promoting conventional farming at the cost of organic farming in the passage. Option (b) is incorrect: This option is extreme. Nowhere has the author indicated that there are no safe organic alternatives to chemical fertilizers. In fact the author of the passage states the contrary that “since organic fertilizers are difficult to obtain on a large scale in India” implying that safe (can assume safe) organic alternatives to chemical fertilizers are present, but not accessible or readily available. Option (c) is correct: The passage mentions, “The reality is that because the organic farming industry is still young and not well-regulated in India, farmers and consumers, alike, are not only confused about what products are best for them, but sometimes use products in ways that could harm them as well.” The passage in the further lines goes on to explain the same. Therefore, we can correctly infer that In India, farmers need to be guided and helped to make their organic farming sustainable. Option (d) is incorrect: This option is extreme. The passage does not discuss the profit or market aspect of organic farming at all.
5,”Based on the above passage, the following assumptions have been made: 1. To implement the Sustainable Development Goals and to achieve zero-hunger goal, monoculture agriculture practices are inevitable even if they do not address malnutrition. 2. Dependence on a few crops has negative consequences for human health and the ecosystem. 3. Government policies regarding food planning need to incorporate nutritional security. 4. For the present monoculture agriculture practices, farmers receive subsidies in various ways and government offers remunerative prices for grains and therefore they do not tend to consider crop diversity. Which of the above assumptions are valid? a) 1, 2 and 4 only b) 2 and 3 only c) 3 and 4 only d) 1, 2, 3 and 4”,”Food consumption patterns have changed substantially in India over the past few decades. This has resulted in the disappearance of many nutritious foods such as millets. While food grain production has increased over five times since independence, it has not sufficiently addressed the issue of malnutrition. For long, the agriculture sector focused on increasing food production particularly staples, which led to lower production and consumption of indigenous traditional corps/grains, fruits and other vegetables, impacting food and nutrition security in the process. Further, intensive, monoculture agriculture practices can perpetuate the food and nutrition security problem by degrading the quality of land, water and food derived through them.”,b) 2 and 3 only
5,b,Statement 1 is incorrect: The passage neither promotes monoculture nor refers to it as inevitable. In fact, it makes a case against it in the line, “Further, intensive, monoculture agriculture practices can perpetuate the food and nutrition security problem” Statement 2 is correct: The passage makes many indications that dependence on a few crops has negative consequences for human health and the ecosystem. This is evidenced by the lines, “disappearance of many nutritious foods such as millets.” and “For long, the agriculture sector focused on increasing food production, particularly staples, which led to lower production and consumption of indigenous traditional crops/grains, fruits and other vegetables, impacting food and nutrition security in the process. Further, intensive, monoculture agriculture practices can perpetuate the food and nutrition security problem by degrading the quality of land, water and food derived through them.” Statement 3 is correct: The passage mentions, “disappearance of many nutritious foods such as millets”, “food grain production has increased over five times since independence, it has not sufficiently addressed the issue of malnutrition”, “For long, the agriculture sector focused on increasing food production particularly staples….impacting food and nutrition security in the process. Further, intensive, monoculture agriculture practices can perpetuate the food and nutrition security problem…”. This makes a strong case for the government to incorporate nutritional security in its policies regarding food planning. Statement 4 is incorrect: While this statement might be true in its own right, the passage does not mention anything about subsidies or any particular reason(s) behind monoculture.
6,”A box contains 14 black balls, 20 blue balls, 26 green balls, 28 yellow balls, 38 red balls and 54 white balls. Consider the following statements: 1. The smallest number n such that any n balls drawn from the box randomly must contain one full group of at least one colour is 175. 2. The smallest number m such that any m balls drawn from the box randomly must contain at least one ball of each colour is 167. Which of the above statements is/are correct? a) 1 only b) 2 only c) Both 1 and 2 d) Neither 1 nor 2”,”Telegram: @UPSC_SARTHI UPSC SARTHI ~ CSAT-2023 Food consumption patterns have changed substantially in India over the past few decades. This has resulted in the disappearance of many nutritious foods such as millets. While food grain production has increased over five times since independence, it has not sufficiently addressed the issue of malnutrition. For long, the agriculture sector focused on increasing food production particularly staples, which led to lower production and consumption of indigenous traditional corps/grains, fruits and other vegetables, impacting food and nutrition security in the process. Further, intensive, monoculture agriculture practices can perpetuate the food and nutrition security problem by degrading the quality of land, water and food derived through them.”,b) 2 only
6,c,The box contains 14 black balls, 20 blue balls, 26 green balls, 28 yellow balls, 38 red balls and 54 white balls. Value of n We have to find out the minimum possible number of balls that should be drawn from the box such that the balls drawn must contain one full group of at least one colour. Say, it may have all 14 black balls, or all 20 blue balls, etc. Telegram: @UPSC_SARTHI Let’s think about the worst-case scenario. What is the maximum number of balls that we can draw without selecting a full group of any colour? Let’s select 13 black balls, 19 blue balls, 25 green balls, 27 yellow balls, 37
7,”If ‘ZERO’ is written as ‘CHUR’, then how is ‘PLAYER’ written?”,”a) SOCACT b) SODBGT c) SODBHT d) SODBHU”,c) SODBHT
7,d,Here, we are required to decipher or decode the pattern. ZERO is written as CHUR. We can see that the underlying pattern is very simple, as shown below: Z + 3 = C E + 3 = H R + 3 = U O + 3 = R We will follow a similar pattern to code PLAYER. P + 3 = S L + 3 = O A + 3 = D Y + 3 = B E + 3 = H R + 3 = U So, the required code is SODBHU. Hence, option (d) is correct.
8,”Consider the following statements: 1. A is older than B. 2. C and D are of the same age. 3. E is the youngest. 4. F is younger than D. 5. F is older than A. How many statements given above are required to determine the oldest person/persons?”,”Only two Only three Only four All five”,
8,d,The given statements are: 1. A is older than B. 2. C and D are of the same age. 3. E is the youngest. 4. F is younger than D. 5. F is older than A. So, the persons we need to consider are: A, B, C, D, E, and F, i.e. 6 in total. We must use statements 2 and 3, as C has been mentioned only in statement 2, and E has been mentioned only in statement 3. Now, we need to account for A, B, D and F. We can account for A and B using statement 1, and for D and F using statement 4. Using statements 1 and 3, we get: A > B > E Using statements 2 and 4, we get: C = D > F Telegram: @UPSC_SARTHI However, we still need statement 5 to find out the relative ages of these two groups. Using statement 5, we get: C = D > F > A > B > E So, C and D are the oldest and to find this out we need to use all the given five statements. Hence, option (d) is correct.
9,”Consider the following including the Question and the Statements: There are 5 members A, B, C, D, E in a family. Question: What is the relation of E to B ? Statement-1: A and B are a married couple. Telegram: @UPSC_SARTHI Statement-2: D is the father of C. Statement-3: E is D’s son. Statement-4: A and C are sisters. Which one of the following is correct in respect of the above Questions and Statements?”,”Statement-1, Statement-2 and Statement-3 are sufficient to answer the Question. Statement-1, Statement-3 and Statement-4 are sufficient to answer the Question. All four statement together are sufficient to answer the Question. All four statements are not sufficient to answer the Question.”,b) Statement-1, Statement-3 and Statement-4 are sufficient to answer the Question.
9,c,The 5 family members are A, B, C, D, and E. The given statements are: Statement 1: A and B are a married couple. Statement 2: D is the father of C. Statement 3: E is D’s son. Statement 4: A and C are sisters. We need to find the relation of E with B. We must use statements 1 and 3, as B and E have not been mentioned in any other statement. Option (a): Statements 1, 2 and 3 alone are not sufficient, as we cannot find a link between B and E in these statements. Option (b): Statements 1, 3 and 4 alone are not sufficient, as we cannot find a link between B and E in these statements. Option (c): Using all the four statements, we get the following family tree: So, E is the brother-in-law of B. Hence, option (c) is correct.
10,”Choose the group which is different from the others: a) 17, 37, 47, 97 b) 31, 41, 53, 67 c) 71, 73, 79, 83 d) 83, 89, 91, 97”,”a) 17, 37, 47, 97 b) 31, 41, 53, 67 c) 71, 73, 79, 83 d) 83, 89, 91, 97”,b) 31, 41, 53, 67
10,d,Prime numbers in 1-100 range are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. We can see that all the numbers in options (a), (b), and (c) are prime numbers. However, number 91 in option (d) is not a prime number. As, 91 = 13 × 7. So, this group is different from the others. Hence, option (d) is correct.
11,”Which one of the following statements best reflects the most logical and rational implication conveyed by the passage?”,”Arbitrary curbs on vehicles to reduce pollution are difficult to implement. Knee-jerk reactions cannot but an evidence-based approach will be more effective. A heavy penalty should be enforced on those driving without periodic pollution tests. In the absence of laws to deal with the problem of pollution, the administration tends to make arbitrary decisions.”,b) Knee-jerk reactions cannot but an evidence-based approach will be more effective.
11,b,Option (a) is incorrect: The passage suggests that arbitrary curbs on vehicles to reduce pollution are pointless/ ineffective measures, rather than being difficult to implement. For example, the passage mentions “To tackle the problem of pollution in cities, policy makers think that drastic actions like temporary use of odd-even number scheme for vehicles, closing schools, factories, construction activities, and banning the use of certain type of vehicles are a way forward. Even then the air is not clean. “ Therefore, as per the passage, the issue is not of implementation but policy flaws. The passage further explains the flaw, for example, “Vehicles more than 15 years old comprise one percent of the total; and taking them off the road will not make any difference. Banning certain fuels and car types arbitrarily is not proper. Diesel engines produce more PM 2.5 and less CO2 than petrol or CNG engines. On the other hand, both diesel and CNG engines produce more NOx than petrol engines. No one has measured the amount of NOx that CNG engines are emitting. Arbitrary bans on vehicles that have passed mandated fitness tests and periodic pollution tests are unfair.” Option (b) is correct: The passage suggests how knee-jerk reactions such as “temporary use of odd- even number scheme for vehicles, closing schools, factories, construction activities, and banning the use of certain type of vehicles” are not effective solutions. “Even then the air is not clean.” It makes a case for a proper evidence-based approach as being more effective. “What is needed is the scientific and reliable information about the source of pollutants on a continuing basis and the technologies that will work to reduce pollution from them.” Option (c) is incorrect: The passage makes a case against knee-jerk and temporary reactions. Imposing a heavy penalty on those driving without periodic pollution tests is an example of such a short-term type of measure. The passage advocates well-researched policies, based on scientific and reliable information. Option (d) is incorrect: The passage does not state there is a dearth of laws. Rather, the tone (for example, “policymakers think that drastic actions”) indicates that there are many steps and policies being taken to tackle air pollution, but all of them are ineffective. Further, as per the passage, this ineffectiveness is not due to the absence of a law, but rather due to a lack of well-researched policies, based on scientific and reliable information.
12,”Which of the following statements best reflects the logical inference from the passage given above?”,”Good corporate governance structures encourage companies to provide accountability and control. A fundamental reason why corporate governance has moved onto the economic and political agenda worldwide has been the rapid growth in international capital markets. Effective corporate governance enhance access to external financing by firms, leading to greater investment, higher growth and employment. Investors look to place their funds where the standards of disclosure, of timely and accurate financial reporting, and of equal treatment to all stakeholders are met.”,a) It is an important agenda of the countries around the world to ensure access to good external financing. b) Good corporate governance improves the credibility of the firms. c) International capital markets ensure that the firms maintain good corporate governance. d) Good corporate governance paves the way for robust supply chains.,b) Good corporate governance improves the credibility of the firms.
12,b,Option (a) is incorrect: While this option presents a correct argument as per the passage, it is the supporting/secondary and indirect argument. The passage states that “A fundamental reason why corporate governance has moved onto the economic and political agenda worldwide has been the rapid growth in international capital markets. Effective corporate governance enhances access to external financing by firms…” So, countries around the world are trying to put in place good corporate governance, in order to access good external financing. Also, again good external financing is not the ultimate aim, but “greater investment, higher growth and employment.” Option (b) is correct: The passage mentions that “Good corporate governance structures encourage companies to provide accountability and control…. Effective corporate governance enhances access to external financing by firms, leading to greater investment, higher growth and employment. Investors look to place their funds where the standards of disclosure, of timely and accurate financial reporting, and of equal treatment to all stakeholders are met.” Therefore, we can infer that the central theme of the passage revolves around how good corporate governance improves the credibility of the firms. Hence this option best reflects the logical inference from the passage. Option (c) is incorrect: While this option presents a correct argument as per the passage, it is the supporting argument. Also, the passage focusses on good corporate governance leading to improvement in the credibility of the firms in the international markets, rather than the other way round, i.e. international capital markets benefitting corporate governance. Option (d) is incorrect: There is no direct mention of supply chains in the passage.
13,”Which one of the following statements best reflects the most logical and rational inference that can be drawn from the passage?”,”Elephants are landscape architects, creating clearings in the forest, preventing overgrowth of certain plant species and allowing space for the regeneration of others, which in turn provide sustenance to others herbivorous animals. Elephants eat plants, fruits and seeds, propagating the seeds when they defecate in other places as they travel. Elephant dung provides nourishment to plants and animals and acts as a breeding ground for insects. In times of drought, they access water by digging holes which benefits other wildlife.”,a) The home range of elephants needs to be a vast area of rich biodiversity. b) Elephants are the keystone species and they benefit the biodiversity. c) Rich biodiversity cannot be maintained in the forests without the presence of elephants. d) Elephants are capable of regenerating forests with species as per their requirement.,b) Elephants are the keystone species and they benefit the biodiversity.
13,b,Option (a) is incorrect: The passage does not discuss what qualifies for the home range of the elephants. It rather discusses the importance and benefits of elephants for the forest ecosystem. Option (b) is correct: The passage discusses this aspect in the entire and each line of the passage. Option (c) is incorrect: While this option might seem true, as the passage does discuss the importance of elephants to a point where their presence might seem critical in the forest ecosystem, the passage does not go to the extent of stating that the rich biodiversity in the forests cannot be maintained without the presence of elephants. For example, there might be another species/ multitude of species that could maintain the rich biodiversity of forests even in the absence of elephants. Hence, it would be extreme and incorrect to infer that the rich biodiversity of the forests cannot be maintained in the forests without the presence of elephants. Option (d) is incorrect: This option is incorrect because it mentions “as per their requirement”. The passage shows that elephants regenerate forests in an involuntary manner (not as per their consciousness or own requirements per se), for example, they “propagate(ing) the seeds when they defecate…Elephant dung acts as a breeding ground for insects.” Further, one might argue that the passage mentions “In times of drought, they access the water by digging holes which benefits other wildlife” which they do “for their requirement”. However, how such access to water benefits other wildlife is not consciously controlled by them, i.e. they are only accessing water here for their own requirement, and not facilitating regeneration in the forest for their own requirement.
14,”If 7 9 10 = 8, 9 11 30 = 5, 11 17 21 = 13, what is the value of 23 4 15 ?”,”No Passage Provided”,a) 6 b) 8 c) 13 d) 15
14,a,Here, we are just adding up the numbers and then summing up the digits of the resultant number. Telegram: @UPSC_SARTHI 7 ⨁ 9 ⨁ 10 = 7 + 9 + 10 = 26 = 2 + 6 = 8 9 ⨁ 11 ⨁ 30 = 9 + 11 + 30 = 50 = 5 + 0 = 5 11 ⨁ 17 ⨁ 21 = 11 + 17 + 21 = 49 = 4 + 9 = 13 So, 23 ⨁ 4 ⨁ 15 = 23 + 4 + 15 = 42 = 4 + 2 = 6 Hence, option (a) is correct.
15,”Let x be a positive integer such that 7x + 96 is divisible by x. How many values of x are possible?”,”No Passage Provided”,a) 10 b) 11 c) 12 d) Infinitely many
If 7x + 96 is divisible by x, It means that 96/x is a whole number
So, x is a factor of 96 ie 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96 = 12 possible values. Hence (c) is correct.
(a + 1) × (b + 1)
- If p, q, r and s are distinct single digit positive numbers, then what is the greatest value of (p + q) (r + s) ?
(a) 230
(b) 225
(c) 224
(d) 221
16,b,Single digit positive numbers are: 1, 2, 3, 4, 5, 6, 7, 8, and 9. To maximize the value of (p + q) (r + s), we need to ensure that we multiply the biggest numbers possible. So, we will only consider the numbers 6, 7, 8, and 9. Also, we should ensure that the numbers being multiplied are as close in value as possible. So, the required answer = (6 + 9) (7 + 8) = 15 × 15 = 225 Hence, option (b) is correct.
17,”A number N is formed by writing 9 for 99 times. What is the remainder if N is divided by 13?”,”No Passage Provided”,a) 11 b) 9 c) 7 d) 1
17,a,Method I: N = 9999 …… 99 times Any digit repeated (P - 1) times is divisible by P, where P is a prime number > 5. So, 9999 …… repeated 13 - 1 = 12 times will be divisible by 13. So, 9999 …… repeated 12 × 8 = 96 times will be divisible by 13. That is, Remainder [9999…… 96 times / 13] = 0 Or Remainder [9999…… (96 times) 000 / 13] = 0 So, we just need to find out the remainder when we divide the remaining three digits by 13. Remainder [999 / 13] = 11 Hence, option (a) is correct. Method II: We can analyze the pattern of remainders. Remainder [9/13] = 9 Remainder [99/13] = 8 Remainder [999/13] = 11 Remainder [9999/13] = 2 Remainder [99999/13] = 3 Remainder [999999/13] = 0 This pattern can be seen getting repeated thereafter too. Remainder [9999999/13] = 9 Remainder [99999999/13] = 8 …and so forth. So, if total number of 9s is six, twelve, eighteen, ……., ninety, ninety six, etc., the remainder is 0. So, if the number has ninety seven 9s, the remainder is 9. [Following the pattern] So, if the number has ninety eight 9s, the remainder is 8. So, if the number has ninety nine 9s, the remainder is 11. Therefore, the answer is 11. Hence, option (a) is correct.
18,”Each digit of a 9-digit number is 1. It is multiplied by itself. What is the sum of the digits of the Resulting number?”,”No Passage Provided”,a) 64 b) 80 c) 81 d) 100
18,c,Method I: Telegram: @UPSC_SARTHI 11 × 11 = 121 111 × 111 = 12321 1111 × 1111 = 1234321 Following the same pattern, we get: (1111 …. 9 times) × (1111 …. 9 times) = 12345678987654321 Sum of the digits of the resulting number = 2 × (1 + 2 + 3 + …. + 8) + 9 = 2 × [8 × 9/2] + 9 = 72 + 9 = 81 [ Sum of first n natural numbers = n (n + 1) / 2 ] Hence, option (c) is correct. Method II: Since each digit of a 9-digit number is 1, so the sum of its digits = 9. So, this number is divisible by 9. Any multiple of such a number will also be divisible by 9. So, the sum of the digits of the resulting number of the multiplication (111111111) × (111111111) must also be divisible by 9. Therefore, the correct answer will be the option which is a multiple of 9, i.e. 81. Hence, option (c) is correct.
19,”What is the sum of all digits which appear in all the integers from 10 to 100 ?”,”No Passage Provided”,a) 855 b) 856 c) 910 d) 221
19,b,We have to find the sum of all the digits of the numbers from 10 to 100. Let’s leave aside 100 for now. We are left with 9 sets of 10 numbers each. 10, 11, ….. 19 20, 21, ….. 29 90, 91, ….. 99 Counting Units Digits Sum of unit digits of each of these 9 sets = 0 + 1 + 2 + …. + 9 = 9 × 10 / 2 = 45 [ Sum of first n natural numbers = n (n + 1) / 2 ] So, sum of all the unit digits of the 9 sets = 45 × 9 = 405 Counting Tens Digits Let’s count the tens digits of 10, 20, 30 …, 90, and then 11, 21, 31, …, 91, and so on. Sum of tens digits of 10, 20, 30 …, 90 = 1 + 2 + 3 + …. + 9 = 9 × 10 / 2 = 45 So, sum of all the tens digits = 45 × 10 = 450 So, the sum of all the digits of the numbers from 10 to 100 = 405 + 450 + 1 = 856 Hence, option (b) is correct.
20,”ABCD is a square. One point on each of AB and CD; and two distinct points on each of BC and DA are chosen. How many distinct triangles can be drawn using any three points as vertices out of these six points?”,”No Passage Provided”,a) 16 b) 18 c) 20 d) 24
ABCD square. Points on sides AB, CD, BC, DA.
abcd is a square
The total number of ways to choose 3 points out of 6 is given by the combination formula C(n, r) = n! / [r!(n-r)!], where n is the total number of items, r is the number of items to choose, and “!” denotes factorial.
So, the total number of triangles is C(6, 3) = 6! / [3!(6-3)!] = 20.
21,”Which one of the following statements best reflects the crucial message conveyed by the author of the passage?”,”The emissions humans put into the atmosphere now will affect the climate in the middle of the century and onwards. Technological change, meanwhile, could make a future transition away from fossil fuels cheap or it might not, leaving the world with a terrible choice between sharply reducing emissions at huge cost or suffering through the effects of unabated warming. Businesses that do not hedge against the threat of uncertain outcomes fail. The world cannot afford such recklessness on climate change.”,a) Businesses that cause emissions may need to close down or pay for pollution in future. b) The only solution is technological development related to the issues of climate change. c) Waiting to deal with carbon emissions until technology improves is not a wise strategy. d) Since future technological change is uncertain, new industries should be based on renewable energy sources.
21,c,Option (a) is incorrect: The only part of the passage pertaining to this assertion is the line, “Businesses that do not hedge against the threat of uncertain outcomes fail.” The passage nowhere specifies that businesses would need to close down or pay for pollution in future. Hence, we cannot assume the same, as there is no definite or sufficiently indicative basis for the safe. Option (b) is incorrect: The passage does not convey any solutions to the issue of climate change. Further, the statement is also too extreme (“only solution”) to be true. Option (c) is correct: The passage mentions, “Technological change, meanwhile, could make a future transition away from fossil fuels cheap or it might not, leaving the world with a terrible choice between sharply reducing emissions at huge cost or suffering through the effects of unabated warming. Businesses that do not hedge against the threat of uncertain outcomes fail. The world cannot afford such recklessness on climate change.” Hence, we can safely conclude that waiting to deal with carbon emissions until technology improves will not be a wise strategy. This is the main message of the author. Option (d) is incorrect: The passage does not convey any solutions to the issue of climate change. Further, the statement is also too specific, whereas the passage does not discuss the same.
22,”Which one of the following statements best implies the most rational assumption that can be made from the passage?”,”Environmental problems cause health problems. Substantial changes in lifestyle can reduce environmental or health problems, but this idea appears almost impossible to adopt. With environmental problems, individual efforts can be perceived as having a negligible effect and therefore lead to inertia. With health, on the other hand, individual choices can make the difference between life and death, literally. And yet, barring a few, there seems to be the same collective lethargy towards making their choices.”,a) We are likely to spend more money on cure than prevention. b) It is the job of the government to solve our environmental and public health problems. c) Health can be protected even if environmental problems go on unattended. d) Loss of traditional lifestyle and the influence of western values led to some unhealthy way of living.
22,a,Option (a) is incorrect: This option is not directly addressed in the passage. The passage discusses the difficulty in adopting substantial changes in lifestyle to reduce environmental or health problems, but does not provide information about spending patterns on cure versus prevention. Therefore, it cannot be considered the most rational assumption. The passage states that unlike environmental issues, individual choices can make a big impact when it comes to health – “can make the difference between life and death”. Some students may equate environmental measures to preventive measures and health measures to curative measures. This may make option (a) seem correct. However, it’s a wrong parallelism. How we deal with health can be both preventive and curative – we all have heard about preventive healthcare, isn’t it? Option (b) is incorrect: As this is not suggested by the passage. The passage mainly focuses on individual attitudes towards environmental and health problems and doesn’t mention the role of the government. While the passage mentions the collective lethargy towards making choices, it does not explicitly state that it is the government’s job to solve environmental and public health problems. The passage focuses more on the individual choices and their potential impact on health. Thus, this option does not directly imply the most rational assumption based on the passage. Option (c) is correct: Refer to the lines: “With environmental problems, individual efforts can be perceived as having a negligible effect and therefore lead to inertia. With health, on the other hand, individual choices can make the difference between life and death…” Individual efforts have negligible effects on environmental concerns, but they can have transformative effects when it comes to health concerns. Therefore, it is correct to say that health can be protected even if environmental problems go on unattended. Option (d) is incorrect: The passage only says that substantial changes in lifestyle can reduce environmental or health problems. That means there is some issue with the contemporary lifestyle. Now, what is the underlying reason behind these lifestyles is not discussed in the passage. Therefore, this answer option is beyond the scope of this passage. A Caveat: If we confine ourselves to the passage provided to us, option (c) sure looks like the optimum choice. However, we have accessed the source text of this passage, and it suggests that option (a) may be the right choice, as the statement in option (a) has directly been quoted from there.
23,”Which one of the following statements best reflects the crux of the passage?”,”Many people are not eating the right food. For some, it is simply a decision to stick with food they enjoy but which is not too healthy. This is leading to an increase in non-communicable diseases. This in turn leads to major burden on our health-care systems that have the potential to derail the economic progress which is essential for the poor to improve their lives. For others, it is about limited access to nutritious food or a lack of affordability, leading to monotonous diets that do not provide the daily nutrients for them to develop fully. Part of the reason nutrition is under threat worldwide is that our food systems are not properly responding to nutritional needs. Somewhere along that long road from farm to fork, there are serious detours taking place.”,a) The scheme of Universal Basic Income should be implemented worldwide as a way of poverty alleviation. b) We must place food-based nutrition at the centre of our policy debate. c) Nutritional status of food should be improved by creating appropriate genetically modified crops. d) Using modern food processing technologies, we must fortify food items with required nutrient elements.
23,b,Option (a) is incorrect: This option does not reflect the core of the passage. The passage discusses the problems surrounding food choices and accessibility, as well as their impact on health and economic progress. Universal Basic Income as a solution or even as a concept is not mentioned. Telegram: @UPSC_SARTHI Option (b) is correct: This Option appears to be the most accurate reflection of the crux of the passage. The passage discusses issues with food consumption, accessibility, and their effects on health and economic progress. This suggests that placing food-based nutrition at the centre of policy debates could address these interconnected problems. Option (c) is incorrect: Although this could be one potential solution to the problems outlined in the passage, the passage itself does not discuss genetically modified crops. Thus, this option is not the most accurate reflection of the passage’s main point. Option (d) is incorrect: This option, like (c), presents a potential solution to the issue at hand. However, the passage does not specifically discuss fortifying foods or using modern food processing technologies, making it a less accurate reflection of the passage’s main point.
24,”Three of the five positive integers p, q, r, s, t are even and two of them are odd (not necessarily in order). Consider the following: 1. p + q + r – s - t is definitely even. 2. 2p + q + 2r - 2s + t is definitely odd. Which of the above statements is/are correct?”,”No Passage Provided”,a) 1 Only b) 2 Only c) Both 1 and 2 d) Neither 1 nor 2
24,a,Among p. q, r, s, and t, there are three even and two odd numbers. Let the numbers be 2, 3, 4, 5 and 6 Statement 1: p + q + r – s - t No matter how we arrange the numbers, we always end up with an even number. So, statement 1 is correct. Statement 2: 2p + q + 2r – 2s + t Let’s put some values in this expression and check. (2×5) + 6 + (2×3) – (2×2) + 4 = 10 + 6 + 6 – 4 + 4 = 22 (an even number) So, statement 2 is incorrect. Hence, option (a) is correct.