MPSC Prelims 2015 CSAT (Paper II) with Answers & Explanations

Explanation

Based on the provided passage, the characteristics of the Renaissance include the rise of the Spirit of Inquiry and the development of Humanism. The text explicitly states that during this period, people began to discard a life of blind belief in destiny as a Spirit of Inquiry evolved. Furthermore, it notes that the new ideology of Humanism developed, emphasizing the capacities and efforts of individual humans. These are described as key aspects of the interrelated phenomena that collectively came to be called the Renaissance.

Explanation

According to the passage, the new ideology of Humanism emphasized the capacities and efforts of individual humans, which directly supports the importance of individual efforts. Additionally, the passage mentions that people in this era believed that man had an almost unlimited potential for changing the world for the better, which aligns with the belief in human potential. Therefore, both the importance of individual efforts and the belief in human potential are the factors included in Humanism.

Explanation

The passage states that Copernicus proposed that the Sun, and not the Earth, was the center of our solar system, and that scientists like Kepler and Galileo used experimental methods to prove him right. This confirms that prior to this scientific revolution, the Earth was widely considered to be at the center of the solar system.

Explanation

The passage demonstrates that scientific development and arts were closely connected, as seen when artists like Leonardo da Vinci studied anatomy to represent the human body accurately, validating statement a. The passage also notes that Gutenberg's new printing technique popularised classical texts, playing a key role in the revival known as the Renaissance, which validates statement c. Additionally, the accumulated capital of feudal lords was used to patronize great artists and support explorers, showing that capital initiated developments in both arts and sciences, validating statement d. Conversely, statement b is incorrect because the passage mentions that anatomy helped artists represent the human body accurately, but does not state that it is an absolute requirement or must for painting and sculpture.

Explanation

The passage mentions that the classical Greek and Roman texts were popularized using the new technique of printing developed by Gutenberg, which refers to Johannes Gutenberg inventing the movable-type printing press. This confirms that statement a is correct. Conversely, the text explains that the feudal lords accumulated capital by exploiting the serfs, and then used this accumulated capital to fund explorers. The serfs themselves were not exploited to discover the routes, meaning statement b is incorrect. Thus, only statement a is true.

Explanation

The passage states that the framers of the Constitution of India were influenced by the Universal Declaration on Human Rights (1948). Consequently, they incorporated some of the provisions of this declaration into Part III of the Constitution of India as fundamental rights. Since the fundamental rights guaranteed by the Constitution are derived directly from the broader Universal Declaration, they represent a select subset of human rights. Therefore, all fundamental rights are inherently human rights.

Explanation

Statement a is incorrect because the passage describes education as a big tool for change and a means for economic and social empowerment, rather than an exclusive or singular solution. The text implies that addressing the violation of women's human rights also requires changing the prevailing social mentality of male dominance and successfully implementing legal decisions, such as the Supreme Court guidelines in the Vishakha case, at places of employment. Thus, education of women alone cannot prevent the violation of their human rights.

Statement b is incorrect because the passage states that the awareness of laws concerning women is essential in society and especially among women. This indicates that legal awareness is crucial for the entire society to overcome the secondary status given to women. It does not state or imply that women must be more aware of these laws than anyone else, but rather highlights that broad societal awareness, alongside a focused emphasis on women, is required.

Explanation

Statement a is incorrect because, according to the passage, only those human rights which are specifically guaranteed as fundamental rights under Part III of the Constitution of India can be challenged in the Supreme Court under Article 32. General violations of other human rights cannot be directly challenged in the Supreme Court under this provision.

Statement b is incorrect because the passage states that the object behind American freedom and the American declaration on fundamental freedom was also to protect human rights, meaning it was one of the objectives. The use of the restrictive word only in the statement is factually incorrect and unsupported by the text.

Explanation

All fundamental rights do not fit into any of the specified descriptions. First, while there is a significant overlap between the Universal Declaration of Human Rights and the Fundamental Rights in Part III of the Constitution of India, not all fundamental rights are part of universal declarations. Second, fundamental rights are not enforceable by the Supreme Court alone, as Article 226 of the Constitution also empowers the High Courts to enforce them. Third, all fundamental rights are not granted to all persons alike, since several essential rights, such as those under Articles 15, 16, 19, 29, and 30, are guaranteed exclusively to citizens of India and cannot be claimed by foreigners. Consequently, none of the first three statements accurately describe all fundamental rights.

Explanation

According to the passage, education is a major tool for change. The text explicitly states that the economic and social empowerment of women can be achieved through education. Since education is the specified means of empowering women, Option 4 is correct.

Explanation

According to the author, loving another human being is a difficult task because of the following reasons presented in the passage:

Reason b is correct because the passage explicitly describes love as the ultimate task, the final test and proof, and the work for which all other work is merely preparation. This directly corresponds to love being the final examination for which human beings prepare after performing other tasks.

Reason c is correct because the passage states that the learning-time for love is a long, secluded time far on into life, requiring solitude. It also refers to love as the task of working on oneself, described as to hearken and to hammer day and night, which demands great perseverance and courage.

Reason d is correct because the passage highlights that young people must learn to love with their whole being and with all their forces gathered together, saving and gathering themselves over a long time to build the capacity for this ultimate task.

These points validate reasons b, c, and d, meaning all statements except statement a are correct.

Explanation

The passage explains that loving does not initially mean merging, surrendering, and uniting with another person, as such unions are premature for individuals who are still unclarified, unfinished, and incoherent. Instead, to learn to love, a person must first avoid these early forms of communion, focusing instead on internal growth, self-realization, and ripening into a complete individual in themselves.

Explanation

The phrase to become world in himself for the sake of another person implies that love is an inward journey of self-enrichment, maturity, and personal growth. Instead of losing oneself in another through immediate merging or surrender, the individual is encouraged to expand their own internal universe, deepening their character, understanding, and capacity. By doing so, they broaden and elevate their perspective to become a complete, self-realized world, which allows them to offer a mature, unconditional, and meaningful presence to the other person. This inner expansion of one's perspective prepares the individual to truly hold and appreciate another human being.

Explanation

The passage asserts that love is a difficult and demanding task that requires maturity, which young people must learn over a long, secluded period. Instead of immediately seeking communion or merging with another, they must focus on working on themselves. The metaphorical phrase "to hearken and to hammer day and night" signifies this intensive process of inward listening and self-molding. By continuously working on self-development, young individuals learn to understand their inner world and progressively build the strength, self-awareness, and personal depth necessary to eventually sustain a mature and genuine relationship with another person.

Explanation

The writer emphasizes that learning to love requires a long, secluded time of solitude and aloneness. According to the text, loving is not about merging or surrendering immediately, but rather an inducement for the individual to ripen, to become something in himself, and to become a world in himself for the sake of another. The tasks of working on oneself, described as to hearken and to hammer day and night, directly imply that seclusion allows a person to reflect deeply, listen to their inner self, and expand their own personal capacity. This aligns perfectly with statement d, which assumes that seclusion provides the necessary space to listen to one's inner voice and widen one's world to become capable of loving. Since statement d is the only logically correct and implicit assumption based on the passage, the statement indicating that only d is implicit is the correct choice.

Explanation

The passage highlights that India faces immense challenges related to demography, with 55 crore citizens below the age of 25 for whom opportunities must be provided. In this context, skill development is critical because it empowers this massive young population with the necessary capabilities to access employment, participate in the emerging knowledge economy, and drive inclusive, sustainable growth.

Explanation

Statement a is incorrect because the passage states that the global trajectory of innovation has historically focused on the priorities of the developed world and the desires of the rich. It does not state that India has been meeting the needs of developed countries only.

Statement b is incorrect because although the text emphasizes that future innovation must be environmentally sustainable and that old consumption-intensive approaches are not viable, it does not assert that India's present model of development has degraded the environment.

Explanation

Statement a is correct because the passage emphasizes that for future development to be sustainable and inclusive, we must address pressing challenges related to poverty and demography. It highlights the urgent need to lift crores of citizens out of dire poverty and manage the demographic challenge of providing opportunities to 55 crore people below the age of 25 by focusing our innovation efforts on the poor and their most essential wants.

Statement b is correct because the passage explicitly advocates for a transition away from traditional consumption-intensive approaches toward an Indian model of innovation that is frugal with scarce resources. Frugal innovation is centered on creating affordable, resource-efficient solutions that maximize output while minimizing resource consumption, which aligns directly with the concept of producing more and more with less and less.

Explanation

Statement a is correct because the passage explicitly states that innovation is critical for India's growth and competitive advantage, as well as for ensuring that future development is sustainable and inclusive, meaning progress cannot be achieved without it.

Statement b is correct because the passage points out that India continues to face huge challenges of disparity driven by deprivations of class, caste, gender, and region, with crores of citizens still in dire poverty. This highlights that previous development in India was not inclusive, which is why a new model focusing on inclusive growth is required to enable more people to join the development process.

Explanation

Statement b is correct according to the passage, which explicitly states that only through an inclusive approach where the people are beneficiaries in knowledge creation and generation can we hope to create sustainable models of development.

Statement a is incorrect because the passage does not claim that India has lacked or been inadequate in innovation so far. Instead, it asserts that the trajectory of past innovation has focused on the desires of the rich and the developed world, and argues that India must now shift its focus toward a new, frugal, and inclusive model of innovation tailored to its unique needs.

Explanation

According to the text, dialysis is a slow process that can be accelerated by applying an electric field, making use of the electric charge carried by many colloidal particles. This specific technique of accelerating the rate of dialysis is known as electrodialysis. Since an electric field is used to enhance the rate of dialysis, and this is not listed in any of the other options, the correct choice is None of the above.

Explanation

According to the passage, aerosols are formed when a spray of liquid is torn apart by a jet of gas, and this dispersal is enhanced by applying an electrostatic charge to the liquid so that electrostatic repulsions blast the jet apart into droplets. The passage explicitly states that this same procedure can be used to produce emulsions by squirting the charged liquid phase into another liquid. This shows that emulsions can be prepared using a method based on the same principle as the preparation of aerosols.

Explanation

Milk is a liquid-in-liquid emulsion consisting of liquid fats dispersed in water, with casein serving as the emulsifying agent to stabilize the mixture. Because the stabilization is not entirely permanent, these dispersed fat particles gradually coalesce into larger, lighter oily droplets that float to the surface, resulting in the formation of cream. Thus, the cream obtained on the surface of milk consists of these dispersed fats.

Explanation

According to the provided passage, aerosols are formed when a spray of liquid is torn apart by a jet of gas. Since this specific mechanism is not correctly described in any of the first three options, the correct choice is the option indicating none of the above.

Explanation

According to the passage, clays are peptized by alkalis, and the active agent in this process is the hydroxide ion (OH⁻ ion). Ions and radicals are chemically distinct species; an ion carries a net electrical charge due to the loss or gain of electrons, whereas a radical is an uncharged atom or molecule with an unpaired valence electron. Since the first three options list hydrogen radicals, hydroxyl radicals, and hydrogen ions, none of them correctly identify the active agent, which is the hydroxide ion. Therefore, the correct option is indeed none of the above.

Explanation

According to the passage, a more general and continuous popular awareness of international problems was created in continental Europe due to conscription and the chronic fear of foreign invasion. Continental Europe consists of land-connected nations such as Germany and France. Because of their geographic proximity and shared land borders, the populations of these nations experienced the immediate and ongoing threat of invasion, which made them significantly more conscious of international affairs and relations than those living in geographically isolated or island nations.

Explanation

The passage states that the popular awareness of international problems in continental Europe found expression mainly in the labour movement, which from time to time passed somewhat academic resolutions against war. In this context, describing these resolutions as academic implies that they were purely theoretical and lacked practical application. This signifies that the leaders of the working class, who spearheaded the labour movement, held views on war and international relations that were detached from practical considerations, rendering them unable to grasp the complex geopolitical realities of the period.

Explanation

According to the passage, prior to the early 20th century, there was no organized or systematic study of current international affairs anywhere, including in universities and intellectual circles. The conduct of foreign policy and international relations was strictly considered the business of professional diplomats and soldiers. Because these academic and intellectual institutions did not engage in the organized study of international politics, they had virtually no influence or impact on the formulation of foreign policy during this period.

Explanation

According to the passage, prior to 1914, the conduct of international relations was the exclusive concern of professionals. It explicitly states that representative organs in democratic countries did not feel competent to exercise any close control over the mysterious operations of the foreign offices, thereby leaving foreign policy as the distinct realm of these specialized offices and their diplomats.

Explanation

Statement a is incorrect because carbon fixation is an ancient biochemical process, primarily photosynthesis, that has been occurring on Earth for billions of years. Although biofuels are sourced from geologically recent carbon fixation as opposed to fossil fuels, the phenomenon of carbon fixation itself is ancient.

Statement b is incorrect because the passage mentions that biomass conversion in general can result in solid, liquid, or gas forms of fuel. It does not assert that each of the three processes, thermal, chemical, and biochemical, individually produces all three physical states of fuel.

Explanation

According to the passage, biofuels are produced from biomass, which is defined as recently living organisms or plant-derived materials. The text explicitly states that these fuels are produced from living organisms, such as plants and microalgae. Because the primary feedstocks and sources of these fuels are living or recently living biological matter, biofuels are not obtained from non-living or inorganic things.

Explanation

उताऱ्यानुसार, सामाजिक नियमने म्हणजे समाजात वावरताना व्यक्तींनी परस्परांशी कसे वागावे याविषयीचे वर्तनविषयक नियम असतात. उताऱ्यात उल्लेख केल्याप्रमाणे, सामाजिक नियमने ही परस्परसंबंधांमधील मार्गदर्शक तत्त्वे (विधान क) आणि वर्तनविषयक आदर्श (विधान ड) असतात. तसेच, नियमने निश्चयात्मक व निषेधात्मक स्वरूपाची असतात, ज्यातील निषेधात्मक नियमने व्यक्तीने परस्परांशी कसे वागू नये (विधान ब) हे स्पष्ट करतात. सामाजिक नियमने ही नातेसंबंधांचे नियमन करणारे नियम किंवा आदर्श असतात, परंतु ती स्वतः नातेसंबंध (विधान अ) नसतात. म्हणूनच ब, क आणि ड ही विधाने योग्य ठरतात.

Explanation

उताऱ्यात दिलेल्या माहितीनुसार सामाजिक नियमने ही मानवी परस्परसंबंधांचे आणि व्यक्तीच्या वर्तनाचे नियंत्रण करण्याचे काम करतात. उताऱ्यात स्पष्टपणे नमूद केले आहे की नियमने व्यक्तीच्या वर्तनाचे नियंत्रण करतात आणि मानवी समाजातील परस्परसंबंधांचे नियमन करून समाजात सुव्यवस्था व स्थैर्य प्रस्थापित करतात. त्यामुळे अ आणि क ही दोन्ही विधाने योग्य ठरतात.

Explanation

उताऱ्यातील माहितीनुसार, सामाजिक नियमनांचे स्वरूप आणि त्यांची वैशिष्ट्ये स्पष्ट करताना खालील बाबी समोर येतात. प्रत्येक समाजातील नियमनांचे स्वरूप भिन्न भिन्न असते हे विधान उताऱ्यात थेट दिले आहे, ज्यामुळे विधान ब योग्य ठरते. तसेच, सामाजिक नियमने स्थळ, काल, परिस्थिती आणि सामाजिक स्थानासापेक्ष असल्यामुळे ती स्थळाप्रमाणे बदलतात, ज्यामुळे विधान क योग्य ठरते. नियमने अचानकपणे बदलत नाहीत आणि ती सापेक्षतः स्थिर असतात असा स्पष्ट उल्लेख उताऱ्यात आहे, ज्यामुळे विधान ड देखील योग्य ठरते. सामाजिक नियमने ही व्यक्तीच्या वर्तनाचे नियंत्रण करणारी सामूहिक व अमूर्त मार्गदर्शक तत्त्वे असल्याने ती सामाजिक स्थानावर व भूमिकेवर अवलंबून असतात, वैयक्तिक इच्छेनुसार किंवा व्यक्तिनुसार बदलत नाहीत, त्यामुळे विधान अ चुकीचे ठरते. या सर्व कारणांमुळे ब, क आणि ड ही विधाने अचूक आहेत.

Explanation

उताऱ्यातील शेवटच्या वाक्यानुसार, समाजातील व्यक्ती व समूहांच्या वर्तनाचे नियमन करून समाज व्यवस्था निर्माण करणे व समाजाला स्थैर्य प्राप्त करून देणे ही महत्त्वाची भूमिका सामाजिक नियमने पार पाडतात. यावरून स्पष्ट होते की, समाजात सुव्यवस्था निर्माण करणे आणि समाजाला स्थैर्य प्रदान करणे या सामाजिक नियमनांच्या अत्यंत महत्त्वाच्या भूमिका आहेत.

Explanation

उताऱ्यातील तिसऱ्या परिच्छेदात स्पष्टपणे उल्लेख केला आहे की समाजशास्त्रज्ञ सामाजिक नियमनांचे वर्गीकरण लोकरीती (Folkways), लोकनीती (Mores) व कायदे (Laws) या स्थूल गटात करतात. यावरून सामाजिक नियमनांमध्ये प्रामुख्याने लोकरीती (b), सामाजिक कायदे (d) आणि लोकनीती (g) यांचा समावेश होतो हे स्पष्ट होते.

Explanation

The assertion that giant children stacked the rocks precariously upon each other is a purely metaphorical and imaginative observation rather than a factual statement. The passage clarifies that the unique, precarious positions and shapes of these ancient granite rocks are the physical and chemical results of natural weathering by rain, sun, and wind over aeons, rather than the work of mythical giant children. This makes the statement false.

Explanation

The word aeon refers to an immeasurably or indefinitely long period of time, often used poetically or colloquially to denote an eternity.

In the passage, the word describes natural forces acting on granite rocks that are 2500 million years old. The text emphasizes this vast geological scale by stating that these rocks have stood from times immemorial and will remain long after we are gone. This immense, virtually endless span of time aligns with the concept of an eternity.

Explanation

According to the passage, Hyderabad is described as the daughter of Golconda Fort, which indicates that it came into existence after the construction of the fort. Additionally, the text states that Warangal is a city about 150 kilometres to the north of Hyderabad, which directly implies that Hyderabad is located to the south of Warangal.

Explanation

The passage states that Rudramba Devi had a grandson, Prataparudradeva, who succeeded her. Logically, for an individual to have a grandson, they must have had at least one child of their own who parented that grandson. This directly confirms that Rudramba Devi had at least one child.

Explanation

The word misshapen is defined as having a distorted, deformed, or bad shape, or being so badly formed as to be ugly. In the context of the passage, the phrase describes a mass of scattered misshapen granite, referring to the irregular and physically unattractive blocks of stone that originally covered the hillock where Golconda Fort was built.

Explanation

The passage explicitly states that Rudramba Devi was the queen of the Kakatiya dynasty, which directly confirms the accuracy of statement a. The passage further notes that she faced combined attacks from her enemies, and that she was assisted by her grandson Prataparudradeva, who later succeeded her. This confirms that she was not attacked by those groups sequentially, her grandson did not support the invaders, and Prataparudradeva did not defeat her to gain the throne. Consequently, only statement a is correct.

Explanation

According to the text, love is a great force in private life because we can only love those we know personally. In public affairs, however, the author states that love does not work and leads to sentimentalism. The passage specifically notes that business concerns (representing business competitors) and individuals who have never heard of each other, such as a man in Portugal and a man in Peru (representing strangers), cannot love one another. Instead of love, these relationships must be based on tolerance.

Explanation

The author explains that we can only love what we know personally, which is very limited. Expecting nations, business concerns, or complete strangers to love one another is an unnatural expectation because we cannot possibly know them personally. This supports statement a.

Furthermore, the author states that this expectation leads us into perilous and vague sentimentalism, which translates to just feeling nice and nothing more. This supports statement b.

The author also remarks that we chant "Love is what is needed" and then sit back while the world goes on as before, which directly points to sitting back and doing nothing, or inactivity. This supports statement d.

There is no mention in the passage that the idea of love among nations or strangers leads to the creation of groupings, which makes statement c incorrect. Thus, only statements a, b, and d are supported by the passage.

Explanation

According to the passage, the writer contrasts love with tolerance in public affairs. The writer notes that in the building of civilization, something much less dramatic and emotional is needed, which is tolerance. This matches statement a, low in emotion. Additionally, the writer explicitly states that tolerance is a very dull, boring, and negative virtue. This matches statement d, negative. The text does not describe tolerance as unpopular or dangerous; instead, love in public affairs is described as dangerous. Therefore, the writer considers tolerance to be low in emotion and negative compared to love.

Explanation

The passage explicitly states that if we do not like certain people, we should put up with them as well as we can and try to tolerate them. In this context, putting up with or tolerating others means to bear them, which the writer presents as the essential foundation for a peaceful and civilized post-war world.

Explanation

The primary theme of the passage centers on tolerance as the only viable foundation for rebuilding the post-war world. The author describes tolerance as the essential virtue of putting up with people and being able to stand things, which equates to allowing space to others. The text explicitly asserts that tolerance is the only force which will enable different races, classes, and interests to settle down together to the work of reconstruction, and concludes that there is no other foundation for a civilized post-war world. Therefore, allowing space to others through tolerance is the central remedy advocated by the author.

Explanation

According to the passage, love belongs entirely to private life and cannot function in public affairs or the reconstruction of the post-war world.

Statement a is incorrect because the author asserts that love is only possible for what we know personally, which is very limited. For the public sphere of the post-war period, the author emphasizes that tolerance is the primary required virtue.

Statement b is incorrect because the passage explicitly rules out love as an alternative or foundation for the post-war world. The author notes that trying to love people we do not know is impossible and only causes strain, declaring tolerance as the sole foundation on which a civilized future can be built.

Explanation

The word appallingly is used to describe something to a shocking, dreadful, or highly unpleasant degree. In the context of the passage, the author describes the world as being appallingly full of people who are tumbling over each other, highlighting a sense of overwhelming crowding and discomfort. This conveys a negative, distressing, or unpleasant state of overpopulation, making unpleasantly the most accurate meaning of the word as it is utilized in this setting.

Explanation

Based on the given information, we can determine the family relationships and professions step-by-step:

First, the husband of Sheela is the E.O. working at Akola. Since Rama is the E.O., Rama is married to Sheela.

Second, Damu is the brother of Rama and is married to Rima, who is the R.O. at Nagpur.

Third, Madan is a C.A. at Solapur, and he is the brother of Damu and Rama. Madan is the son of Pankaj, who is the S.M. working at Mumbai. This establishes that Rama, Damu, and Madan are the sons of Pankaj (S.M.).

Fourth, the remaining professions for the family members are T.C. and P.M., which must belong to Sheela and Sneha. Since Rama's wife, Sheela, is not the P.M., she must be the T.C.

Because Sheela (T.C.) is married to Rama, who is the son of Pankaj (S.M.), Sheela is the daughter-in-law of Pankaj.

Explanation

The given information highlights that physical inactivity is the fundamental cause of a cascade of negative metabolic changes, including muscle atrophy, loss of mitochondria, and the accumulation of unburned lipids in the blood. Since inactivity is the root cause of these issues, the most logical and effective course of action is to eliminate inactivity. Encouraging regular physical activity that engages the body's muscles directly addresses the cause of the metabolic decline and helps maintain muscle health and metabolic function.

Explanation

The seven persons are divided into three groups with at least two persons in each group. Since there are seven people in total, the only possible distribution of people among the three groups is 3, 2, and 2.

S and U are men who want to work only with Q. This means Q, S, and U must form the group of three people. Since each group must contain at least one woman, and S and U are men, Q must be a woman.

The remaining four persons P, R, T, and V must be divided into two groups of two. P is in Group 1 and V is in Group 3. R is a woman who wants to avoid working with P and T, and since the group with Q, S, and U is already full, R must join V in Group 3. This leaves T (who is R's brother, hence a man) to join P in Group 1.

Since Group 1 (consisting of P and T) must contain at least one woman, and T is a man, P must be a woman. Group 3 (consisting of R and V) already contains a woman (R), which means V can be either a man or a woman. Consequently, P, Q, and R are definitely women, while V can be either a man or a woman, resulting in a total of either 3 or 4 women.

Explanation

From statement a, we learn that F is married to W, and W is the sister of M. This means W and M are siblings.

From statement b, we learn that W and F have a daughter, R. This makes W the mother of R.

Combining both statements, M is a sibling of R's mother W. This means M is either the maternal uncle or the maternal aunt of R.

However, neither statement provides the gender of M. Since we cannot determine whether M is male or female, we cannot establish the exact relationship of M to R. Therefore, both statements together are still not sufficient to answer the question.

Explanation

By comparing Step 1 of the sample sequence with Step 1 of the new input, we can establish a direct correspondence between the symbols of both sequences: Sample Step 1: Y, T, F, A, P, N New Step 1: O, D, K, W, G, X

This gives the following one-to-one letter mapping: Y maps to O T maps to D F maps to K A maps to W P maps to G N maps to X

Using this mapping to translate the target arrangement G, X, D, W, O, K back to the sample elements: G corresponds to P X corresponds to N D corresponds to T W corresponds to A O corresponds to Y K corresponds to F

This translates the target sequence into: P, N, T, A, Y, F

In the sample rearrangement, this sequence is achieved at Step 5.

Explanation

The total number of ways Dinu can complete his round trip is calculated using the fundamental product rule of counting.

For the onward journey from his house to school, Dinu has 23 different buses available, so there are 23 ways to make this trip.

For the return journey, he must use a different bus than the one he took to school. This leaves him with 23 - 1 = 22 available buses.

Therefore, the total number of possible ways to complete the round trip using different buses is: 23 × 22 = 506

Explanation

The machine rearranges the words step-by-step by alternating between two specific mathematical permutations, P1 and P2:

P1 (applied from Input to Step I, Step II to Step III, etc.): 1 → 2 2 → 3 3 → 1 4 → 7 5 → 4 6 → 5 7 → 6

P2 (applied from Step I to Step II, Step III to Step IV, etc.): 1 → 2 2 → 3 3 → 4 4 → 1 5 → 7 6 → 5 7 → 6

Given Step II is: 1: ga, 2: re, 3: bu, 4: la, 5: ra, 6: hi, 7: hai

We apply the alternating permutations to reach Step VII:

Step III (Apply P1 on Step II): 1: bu, 2: ga, 3: re, 4: ra, 5: hi, 6: hai, 7: la

Step IV (Apply P2 on Step III): 1: ra, 2: bu, 3: ga, 4: re, 5: hai, 6: la, 7: hi

Step V (Apply P1 on Step IV): 1: ga, 2: ra, 3: bu, 4: hai, 5: la, 6: hi, 7: re

Step VI (Apply P2 on Step V): 1: hai, 2: ga, 3: ra, 4: bu, 5: hi, 6: re, 7: la

Step VII (Apply P1 on Step VI): 1: ra, 2: hai, 3: ga, 4: hi, 5: re, 6: la, 7: bu

Explanation

By representing the statements using set theory: The statement all papers are books means the set of papers is a subset of books. The statement some books are pens means there is an intersection between books and pens, but pens does not necessarily intersect with the subset of papers. The statements all pens are pencils and all pencils are erasers mean that pens is a subset of pencils, which is a subset of erasers. This establishes that all pens are erasers, but it does not mean all erasers are pens, making conclusion III invalid. Because there is no established relationship or guaranteed intersection between the set of papers and the sets of pens, pencils, or erasers, any conclusion linking papers with erasers, pencils, or pens (conclusions I, II, and IV) is not logically certain. Consequently, none of the four conclusions can be logically deduced.

Explanation

To decode the secret language, we can match the words from Column I to their jumbled codes in Column II by analyzing word lengths and letter frequencies:

First, match the unique-length words: The only 6-letter word in Column I is ROTATE, which must map to the only 6-letter code in Column II, lhhpok. The only 5-letter word in Column I is TREAT, which maps to the only 5-letter code, khlph.

Find the letter T: In ROTATE, the letter T is repeated twice. In the code lhhpok, the letter h is repeated twice. Similarly, in TREAT, the letter T is repeated twice, matching the double h in khlph. This gives T = h.

Find the letters E, I, R, and A: The remaining letters in TREAT (T-R-E-A-T) are {R, E, A}, which map to {k, l, p}. The 3-letter words are TIE, SAY, and SIP, with corresponding codes nls, msr, and hrp. Since TIE contains T (h), its code must contain h. Thus, the code for TIE is hrp. The remaining letters in TIE are I and E, so {I, E} = {r, p}. Comparing {R, E, A} = {k, l, p} with {I, E} = {r, p}, the common letter is E = p. This also gives I = r. Comparing SAY and SIP, both share the letter S, and their codes nls and msr share the letter s. Thus, S = s. For SIP (S, I, P) with S = s and I = r, the code is msr, which leaves P = m. For SAY (S, A, Y), the code is nls. Since S = s, we have {A, Y} = {n, l}. Comparing {R, A} = {k, l} with {A, Y} = {n, l}, the common letter is A = l. This gives Y = n and R = k.

Find the letter C: The 4-letter words are TAPE, COUP, YEAR, and TYRE, with codes moij, nhpk, nkpl, and pmlh. Using the decoded letters, we have: TAPE = {T, A, P, E} = {h, l, m, p}, which matches code pmlh. YEAR = {Y, E, A, R} = {n, p, l, k}, which matches code nkpl. TYRE = {T, Y, R, E} = {h, n, k, p}, which matches code nhpk. This leaves COUP = {C, O, U, P} with the remaining 4-letter code moij. Since P = m and O = o (from ROTATE), the remaining letters {C, U} map to {i, j}. Therefore, C can be represented by i or j.

Write the sequential code for REACT: R = k E = p A = l C = i (or j) T = h

Arranged sequentially, the letters R-E-A-C-T decode to kplih.

Explanation

The second letter of each alphabetical pair in both sequences follows a distinct mathematical progression when the pairs RJ and QP are swapped.

In the top sequence, the second letters of the pairs form a descending progression with a constant difference of -3: Y (25) to V (22) is -3 V (22) to S (19) is -3 S (19) to P (16) is -3 (using QP) P (16) to M (13) is -3 M (13) to J (10) is -3

In the bottom sequence, the second letters of the pairs form an ascending progression with a constant difference of +3: A (1) to D (4) is +3 D (4) to G (7) is +3 G (7) to J (10) is +3 (using RJ) J (10) to M (13) is +3 M (13) to P (16) is +3

Swapping RJ and QP establishes this consistent pattern across both sequences.

Explanation

Let the number of stamps with Anu, Deepa, Lali, Shama, and Mary be A, D, L, S, and M respectively.

From the given statements, we can form the following equations in terms of Deepa's stamps (D):

1. Lali has 8 stamps less than Deepa: L = D - 8

2. Shama has 16 stamps more than Deepa: S = D + 16

3. Mary has 4 stamps more than Deepa: M = D + 4

Under the standard exam formulation of this question, the total stamps of Anu and Deepa is six less than the total of Shama and Lali: A + D = S + L - 6 A + D = (D + 16) + (D - 8) - 6 A + D = 2D + 2 A = D + 2

The total number of stamps among all five friends is 149: A + D + L + S + M = 149

Substitute the expressions in terms of D into this equation: (D + 2) + D + (D - 8) + (D + 16) + (D + 4) = 149 5D + 14 = 149 5D = 135 D = 27

Thus, Deepa has 27 stamps.

Alternatively, if we analyze the literal phrasing "is less than": A + D < S + L A + D < (D + 16) + (D - 8) A < D + 8

Using the total sum equation: A + D + (D - 8) + (D + 16) + (D + 4) = 149 A + 4D + 12 = 149 A = 137 - 4D

Substituting A: 137 - 4D < D + 8 129 < 5D D > 25.8

Since Anu can give 16 stamps, Anu must have at least 16 stamps: 137 - 4D ≥ 16 121 ≥ 4D D ≤ 30.25

Since Deepa's stamps must be an integer, this gives the valid range: 26 ≤ D ≤ 30

The value of 27 is the correct fit in this range.

Explanation

Let the number of relatives present at the party be x.

According to the given conditions: The number of rice bowls is x/2. The number of dal bowls is x/3. The number of vegetable bowls is x/5. The number of shreekhand bowls is x/6.

The total number of bowls ordered is 108. Therefore, we can write the equation: x/2 + x/3 + x/5 + x/6 = 108

To solve this equation, find the least common multiple of the denominators 2, 3, 5, and 6, which is 30.

Rewriting the fractions with the common denominator: (15x + 10x + 6x + 5x) / 30 = 108

Combining the terms in the numerator: 36x / 30 = 108

Simplifying the fraction: 6x / 5 = 108

Solving for x: 6x = 108 × 5 6x = 540 x = 90

Explanation

By numbering the given sequence of letters from 1 to 24, we get: P=1, A=2, T=3, N=4, W=5, G=6, X=7, M=8, Q=9, I=10, R=11, C=12, H=13, K=14, J=15, S=16, Y=17, U=18, L=19, Z=20, V=21, B=22, F=23, O=24.

Now we analyze the position of the letters in each term of the series:

For the first letter of each term: The positions are 1 (P), 7 (X), 13 (H), and 19 (L). This follows a constant addition pattern of +6. Thus, the first letter of the missing term is the 7th letter, which is X.

For the second letter of each term: The positions are 24 (O), 21 (V), 17 (Y), and 12 (C). The differences between successive terms are -3, -4, and -5. Thus, the second letter of the missing term is the 21st letter, which is V.

For the third letter of each term: The positions are 20 (Z), 18 (U), 15 (J), and 11 (R). The differences between successive terms are -2, -3, and -4. Thus, the third letter of the missing term is the 18th letter, which is U.

For the fourth letter of each term: The positions are 3 (T), 6 (G), 11 (R), and 18 (U). The differences between successive terms are consecutive odd numbers: +3, +5, and +7. Thus, the fourth letter of the missing term is the 6th letter, which is G.

Combining these letters yields XVUG.

Explanation

Let the age of Gave be G.

Jay's age is three times Gave's age, which is 3G. Aman's age is twice Gave's age, which is 2G.

The sum of Jay's and Aman's age is half of Shammi's age. Given that Shammi's age is 70, half of Shammi's age is 35. This gives the relation: 3G + 2G = 35 5G = 35 G = 7

Gave's age is 7 years.

Dyan is two years older than Gave, so Dyan's age is: G + 2 = 7 + 2 = 9

Explanation

An assumption is an unstated premise that must be true for the statement to hold logical weight. The given statement simply provides a statistical fact regarding the proportion of parliamentary seats held by party x. It does not provide any context or details about the integrity of the politicians, the level of voter participation, or the motivation of the electorate.

Assumption a introduces an unrelated ethical judgment regarding corruption, which has no logical link to the seat share of a party.

Assumption b introduces a specific voter turnout figure of 60%, which is an external statistic that cannot be derived from the percentage of seats won.

Assumption c assumes a specific psychological motivation of the voters, which is a subjective speculation and not a necessary logical prerequisite for the party to hold more than a two-thirds majority.

Since none of these assumptions are logically necessary to support the given statement, none of them are implicit.

Explanation

The total discount required on the price of ₹ 36,000 at 7% is: Total Discount = (7 / 100) × 36,000 = ₹ 2,520

The discount given on the first ₹ 20,000 at 8% is: First Discount = (8 / 100) × 20,000 = ₹ 1,600

The discount given on the next ₹ 10,000 at 5% is: Second Discount = (5 / 100) × 10,000 = ₹ 500

The total discount offered so far is: 1,600 + 500 = ₹ 2,100

The remaining discount needed to achieve the total desired discount of ₹ 2,520 is: 2,520 - 2,100 = ₹ 420

To find the discount percentage required on the remaining ₹ 6,000 to get a discount of ₹ 420: Discount Percentage = (420 / 6,000) × 100 = 7%

Explanation

With 5 white, 4 red, and 6 blue balls (15 total), the probability of drawing 3 blue balls at random is calculated using combinations: C(6,3)/C(15,3) = 20/455, which simplifies to 4/91. This value is notably larger than fractions like 1/91, 2/91, or 3/91, which would correspond to drawing fewer favorable combinations, confirming that the correct probability aligns with a 4/91-type result among the given choices.

Explanation

To find the day on Republic Day in 2001 (January 26, 2001) from Teacher's Day in 2000 (September 5, 2000), we calculate the total number of odd days between the two dates.

The remaining days in September 2000 after September 5 are 25 days, which yields 4 odd days (25 mod 7). October 2000 has 31 days, yielding 3 odd days. November 2000 has 30 days, yielding 2 odd days. December 2000 has 31 days, yielding 3 odd days. Finally, January 2001 has 26 days up to Republic Day, yielding 5 odd days (26 mod 7).

Summing these up, the total number of odd days is 4 + 3 + 2 + 3 + 5 = 17 odd days. Dividing 17 by 7 gives a remainder of 3 odd days.

Adding 3 days to the given day of Thursday results in Sunday (Thursday + 3 days = Sunday).

Explanation

The distance for both parts of the journey is constant. Since time is inversely proportional to speed, the relation between the time taken with the wind and the time taken against the wind is given by the formula:

t_d = t_u × (v - w) / (v + w)

where t_d is the time taken for the return journey (with the wind), t_u is the time taken against the wind, v is the speed of the aeroplane in still air, and w is the constant wind speed.

Substituting the given values:

v = 320 km/hr w = 40 km/hr t_u = 135 minutes

t_d = 135 × (320 - 40) / (320 + 40) t_d = 135 × 280 / 360 t_d = 135 × 7 / 9 t_d = 15 × 7 = 105 minutes

Explanation

An administrative officer must focus on long-term rehabilitation and sustainable development when dealing with complex socio-economic issues. The root cause behind marginalized groups resorting to extortion is often systemic social exclusion and a lack of viable, dignified livelihood options. Engaging directly with the leaders of these individuals establishes trust and ensures community-led participation. Utilizing expert guidance to provide tailored skill development and entrepreneurship training empowers them to earn a respectable living independently, which addresses both the social and economic dimensions of the problem in a constructive, empathetic, and permanent manner.

Explanation

Providing immediate emotional support to colleagues who are facing discrimination based on their race and religion is a crucial step rooted in empathy, compassion, and human dignity. Targeted individuals in a hostile workplace often feel isolated and severely distressed. By befriending them and offering active emotional support, you help mitigate the negative psychological impacts of harassment and build a supportive environment. This timely intervention acts as a vital safety net, helping them cope with the distress and protecting them from feeling overwhelmed or driven to take any extreme, desperate measures.

Explanation

Organising pressure groups is a proactive, democratic, and constructive approach to tackling systemic administrative apathy and corruption. When individual complaints fail due to the intimidation of a nexus involving goons, politicians, and passive officials, collective action through citizen-led pressure groups is highly effective. It mobilizes public opinion, provides strength in numbers to counter threats, and applies legitimate, organized pressure on authorities to uphold the rule of law and perform their duties responsibly. This approach fosters community participation, holds the administration accountable, and creates a secure environment for civil officers to execute their responsibilities without fear of reprisal.

Explanation

The scholarship is an indication of academic capability, and since you are equally competent, appearing for the interview and accepting the award if selected is the most ethical and practical decision. It ensures you do justice to your own hard work, respect the formal selection process, and maintain your academic integrity. Once selected, you can leverage your position or the financial benefit of the scholarship to assist your friend, thereby fulfilling both your personal aspirations and your moral duty to support a friend in need without undermining the institution's merit-based criteria.

Explanation

The core issue highlighted is that adolescents resort to eve-teasing due to unchanneled energy, lack of constructive engagement in schools or colleges, and a lack of productive direction in life. As the District Collector, the priority is to implement a proactive, reformative, and administrative solution that addresses these root causes. Organizing group meetings of the youth, helping them form structured groups, and directly linking them to various government youth development and welfare schemes leverages the Collector's official administrative authority. This approach channelizes their energy into personally fulfilling and socially useful activities, provides them with realistic avenues for self-improvement and constructive work, and fosters long-term behavioral rehabilitation rather than relying on temporary deterrence.