Rename test6.txt to requirements.txt

requirements.txt

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+sentence-transformers
+torch
+gradio

test6.txt

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-pleasures of physical media -- is the right one. While the makers of Blu-ray discs claim they have a shelf life
-of 100 years, such statistics remain largely theoretical until they come to pass, and are dependent on storage
-conditions, not to mention the continued availability of playback equipment. The humble DVD has already
-proved far less resilient, with many early releases already beginning to deteriorate in quality Digital movie
-purchases provide even less security. Any film "bought" on iTunes could disappear if you move to another
-territory with a different rights agreement and try to redownload it. It's a bold new frontier in the
-commodification of art: the birth of the product recall. After a man took to Twitter to bemoan losing access to
-Cars 2 after moving from Canada to Australia, Apple clarified that users who downloaded films to their
-devices would retain permanent access to those downloads, even if they relocated to a hemisphere where the
-[content was] subject to a different set of rights agreements. Thanks to the company's ironclad digital rights
-management technology, however, such files cannot be moved or backed up, locking you into watching with
-your Apple account.
-Anyone who does manage to acquire Digital Rights Management free (DRM-free) copies of their favourite
-films must nonetheless grapple with ever-changing file format standards, not to mention data decay -- the
-gradual process by which electronic information slowly but surely corrupts. Only the regular migration of files
-from hard drive to hard drive can delay the inevitable, in a sisyphean battle against the ravages of digital time.
-In a sense, none of this is new. Charlie Chaplin burned the negative of his 1926 film A Woman of the Sea as a
-tax write-off. Many more films have been lost through accident, negligence or plain indifference. During a
-heat wave in July 1937, a Fox film vault in New Jersey burned down, destroying a majority of the silent films
-produced by the studio.
-Back then, at least, cinema was defined by its ephemerality: the sense that a film was as good as gone once it
-left your local cinema. Today, with film studios keen to stress the breadth of their back catalogues (or to put in
-Hollywood terms, the value of their IPs), audiences may start to wonder why those same studios seem happy
-to set the vault alight themselves if it'll help next quarter's numbers.
-
-1.
-"Netflix had begun editing old episodes of Stranger Things to retroactively improve their visual effects." What
-is the purpose of this example used in the passage?
-
-A. To show that art in the digital age, specifically film, is no longer sacrosanct, and may be changed to suit
-changing tastes or technology.
-
-B. To show that streaming services are controlling access to the cultural commons rather than expanding it.
-
-C. To show how unsubstantiated reports are leading to an increase in the level of distrust towards streaming
-services.
-
-D. To show a practice that justifies the fears of people who feel streaming services cannot be trusted to be
-custodians of cultural artefacts like film.
-in perpetuity, without the need to keep migrating the files.
-
-B. When moving to a different geographical location, customers can easily use Virtual Private
-Networks (VPNs) to bypass geo-blocking and regain access to their content on any streaming service.
-
-being primarily immutable and easily available to the public.
-
-B. Accepting retroactive changes to works of art is dangerous because it will encourage creators to not put
-enough effort into the original attempt, given that they can always edit or update their work later.
-
-C. Works of art belong to the cultural commons and hence must remain available in perpetuity,
-irrespective of who pays for access to them.
-
-D. As art is increasingly created, stored and distributed digitally, access to it is counter intuitively likely to be
-
-
-
-made more difficult by the rapid churn in technology and the whims of host platforms.
-
-4.
-Which of the following statements is suggested by the sentence "Back then, at least, cinema was defined by its
-ephemerality: the sense that a film was as good as gone once it left your local cinema"?
-
-A. Today, films are expected to be available for a long time, since they are no longer tied solely to their stay at
-the local cinema.
-
-B. Cinema is now no longer as ephemeral as it used to be earlier, because the technology used for creating and
-preserving films has improved manifold.
-
-C. Presently, there is no reason why film studios should remove access to films once they have left the local
-cinema.
-
-D. Around a century ago, people were more accepting of not having access to films once they left the local
-cinema.
-DIRECTIONS for the question: There is a sentence that is missing in the paragraph below. Look at the
-paragraph and decide where (option 1, 2, 3, or 4) the following sentence would best fit.
-
-age of music as British literature was with Shakespeare and Queen Elizabeth __(2)__. The rebirth in both
-literature and music originated in Italy and migrated to England; the
-English madrigal became more humorous and lighter in England as compared to Italy. Renaissance music was
-mostly polyphonic in texture. ___(3)___. Extreme use of and contrasts in dynamics,
-rhythm, and tone colour do not occur. __(4)__. The rhythms in Renaissance music tend to have a smooth, soft
-flow instead of a sharp, well-defined pulse of accents.
-
-A. Option 3
-
-B. Option 4
-
-C. Option 1
-
-D. Option 2 somewhere on our planet. In the past, cartographers did not worry too much about who was going
-to read their maps. Although some simple "usability" research was done--like comparing whether circle or bar
-symbols worked best--cartographers knew how to make maps. This has changed now,
-however, due to all kinds of societal and technological developments. Today, map readers are more
-demanding--mostly because of the tools they use to read maps. Cartographers, who are also influenced by
-these trends, are now more interested in seeing if their products are efficient, effective,
-and appreciated.
-
-A. Maps are being used for a variety of reasons and therefore map readers have become more demanding.
-
-B. Today, cartographers also need to look into the usability of maps because of the new technological
-developments.
-
-C. New technological developments have prompted cartographers to experiment with their maps by applying
-these new innovations.
-
-D. Modern mapmakers evaluate a map's effectiveness efficiency and satisfaction of the user through a series
-of experiments.
-
-DIRECTIONS for questions 7 to 10: The passage below is accompanied by four questions. Based on the
-
-
-
-passage, choose the best answer for each question.
-... [T]he idea of craftsmanship is not simply nostalgic. .. . Crafts require distinct skills, an all-round approach
-to work that involves the whole product, rather than individual parts, and an attitude that necessitates devotion
-to the job and a focus on the communal interest. The concept of craft emphasises the human touch and
-individual judgment.
-Essentially, the crafts concept seems to run against the preponderant ethos of management studies which, as
-the academics note, have long prioritised efficiency and consistency. . . . Craft skills were portrayed as being
-primitive and traditionalist.
-The contrast between artisanship and efficiency first came to the fore in the 19 century when British
-
-For workers, the appeal of craftsmanship is that it allows them the autonomy to make creative choices, and
-thus makes a job far more satisfying. In that sense, it could offer hope for the overall labour market. Let the
-machines automate dull and repetitive tasks and let workers focus purely on their skills, judgment and
-imagination. As a current example, the academics cite the "agile" manifesto in the software sector, an industry
-at the heart of technological change. The pioneers behind the original agile manifesto promised to prioritise
-"individuals and interactions over processes and tools". By bringing together experts from different teams,
-agile working is designed to improve creativity.
-But the broader question is whether crafts can create a lot more jobs than they do today. Demand for crafted
-products may rise but will it be easy to retrain workers in sectors that might get automated (such as truck
-drivers) to take advantage? In a world where products and services often have to pass through regulatory
-hoops, large companies will usually have the advantage.
-they don't get too organised.
-
-7.
-The author questions the ability of crafts to create substantial employment opportunities presently because
-
-A. crafts guilds tend to resist new entrants and are unlikely to accept large numbers of trainees.
-
-B. regulatory requirements could make it difficult for small crafts outfits to compete.
-
-C. workers made redundant by automation are unlikely to opt for crafts-related work.
-
-D. the low scale of crafts production will not be able to absorb the mass of redundant labour.
-
-8.
-We can infer from the passage that medieval crafts guilds resembled mass production in that both
-
-A. focused excessively on product quality.
-
-B. discouraged innovation by restricting entry through strict rules.
-
-C. did not necessarily promote creativity.
-
-D. did not always employ egalitarian production processes.
-
-C. a greater interest in buying locally produced goods.
-
-D. concerns about the environmental impact of mass production.
-
-
-
-10.
-Which one of the following statements is NOT inconsistent with the views stated in the passage?
-
-A. Creativity in the crafts could be stifled if the market for artisan goods becomes too organised.
-
-B. The Arts and Crafts movement was initially inspired by the "American system" of production.
-
-C. We need to support the crafts; only then can we retain the creativity intrinsic to their production.
-
-D. The agile movement in software is a throwback to the tenets of the medieval crafts guilds.
-DIRECTIONS for the question: The passage given below is followed by four alternate summaries. Choose the
-option that best captures the essence of the passage.
-
-11.
-Scientific research shows that many animals are very intelligent and have sensory and motor abilities that
-dwarf ours. Dogs are able to detect diseases such as cancer and diabetes and warn humans of impending heart
-attacks and strokes. Elephants, whales, hippopotamuses, giraffes, and alligators use low-frequency sounds to
-communicate over long distances, often miles. Many animals also display wide-ranging emotions, including
-joy, happiness, empathy, compassion, grief, and even resentment and embarrassment. It's not surprising that
-animals share many emotions with us because we also share brain structures, located in the limbic system, that
-are the seat of our emotions.
-
-A. Animals are more intelligent than us in sensing danger and detecting diseases.
-
-B. The advanced sensory and motor abilities of animals is the reason why they can display wide-
-ranging emotions.
-
-C. The similarity in brain structure explains why animals show emotions typically associated with humans.
-
-D. Animals can show emotions which are typically associated with humans.
-marsupials called bandicoots. "Their muzzle, which is much too long, gives them an air exceedingly stupid,"
-one naturalist noted in
-
-ecosystem, particularly the onslaught of imported British animals, from cattle and rabbits that damaged
-delicate desert vegetation to ravenous house cats that soon developed a taste for bandicoots. Several of the
-dozen-odd bandicoot species went extinct, and by the 1940s the western barred bandicoot, whose original
-range stretched across much of the continent, persisted only on two predator-free islands in Shark Bay, off
-Australia's western coast.
-"Our isolated fauna had simply not been exposed to these predators," says Reece Pedler, an ecologist with the
-Wild Deserts conservation program.
-Now Wild Deserts is using descendants of those few thousand island survivors, called Shark Bay bandicoots,
-in a new effort to seed a mainland bandicoot revival. They've imported 20 bandicoots to a preserve on the edge
-of the Strzelecki Desert, in the remote interior of New South Wales. This sanctuary is a challenging place,
-desolate much of the year, with one of the world's most mercurial rainfall patterns--relentless droughts
-followed by sudden drenching floods.
-The imported bandicoots occupy two fenced "exclosures," cleared of invasive rabbits (courtesy of Pedler's
-sheepdog) and of feral cats (which slunk off once the rabbits disappeared). A third fenced area contains the
-program's Wild Training Zone, where two other rare marsupials (bilbies, a larger type of bandicoot, and
-mulgaras, a somewhat fearsome fuzzball known for sucking the brains out of prey) currently share terrain with
-controlled numbers of cats, learning to evade them. It's unclear whether the Shark Bay bandicoots, which are
-perhaps even more predator-naive than their now-extinct mainland bandicoot kin, will be able to make that
-kind of breakthrough.
-
-
-
-For now, though, a recent surge of rainfall has led to a bandicoot joey boom, raising the Wild Deserts
-population to about 100, with other sanctuaries adding to that number. There are also signs of rebirth in the
-landscape itself. With their constant digging, the bandicoots trap moisture and allow for seed germination so
-the cattle-damaged desert can restore itself.
-They have a new nickname--a flattering one, this time. "We call them ecosystem engineers," Pedler says.
-
-12.
-According to the text, the western barred bandicoots now have a flattering name because they have
-
-A. led a revival in preserving the species.
-
-B. led to a surge and increase of rainfall.
-
-C. grown fivefold in terms of population.
-
-D. aided in altering an arid environment.
-
-13.
-The text uses the word 'exclosures' because Wild Deserts has adopted a measure of
-
-A. ridding the main desert of feral cats and large bilbies.
-
-B. barring the entry of invasive species.
-
-15.
-Which one of the following statements provides a gist of this passage?
-
-A. The negligent attitude of the British colonists towards these bandicoots evidenced by the names given to
-them led to their annihilation.
-
-B. A type of bandicoots was nearly wiped out by invasive species but rescuers now pin hopes on a remnant
-island population.
-
-C. Marsupials are going extinct due to the colonial era transformation of the ecosystem which also destroyed
-natural vegetation.
-
-D. The onslaught of animals, such as cattle, rabbits and housecats, brought in by the British led to the
-extinction of the western barred bandicoot.
-
-DIRECTIONS for questions 16 to 19: The passage below is accompanied by four questions. Based on the
-passage, choose the best answer for each question.
-Oftentimes, when economists cross borders, they are less interested in learning from others than in invading
-their garden plots. Gary Becker, for instance, pioneered the idea of human capital. To do so, he famously
-tackled topics like crime and domesticity, applying methods honed in the study of markets to domains of
-nonmarket life. He projected economics outward into new realms: for example, by revealing the extent to
-which humans calculate marginal utilities when choosing their spouses or stealing from neighbors. At the
-same time, he did not let other ways of thinking enter his own economic realm: for example, he did not borrow
-from anthropology or history or let observations of nonmarket economics inform his homo economic us.
-Becker was a picture of the imperial economist in the heyday of the discipline's bravura.
-Times have changed for the once almighty discipline. Economics has been taken to task, within and beyond its
-ramparts. Some economists have reached out, imported, borrowed, and collaborated--been less imperial,
-more open. Consider Thomas Piketty and his outreach to historians. The booming field of behavioral
-
-
-
-economics--the fusion of economics and social psychology--is another case. Having spawned active subfields,
-like judgment, decision-making and a turn to experimentation, the field aims to go beyond the caricature of
-Rational Man to explain how humans make decisions....
-It is important to underscore how this flips the way we think about economics. For generations, economists
-have presumed that people have interests--'preferences," in the neoclassical argot--that get revealed in the
-course of peoples' choices. Interests come before actions and determine them. If you are hungry, you buy
-lunch; if you are cold, you get a sweater. If you only have so much money and can't afford to deal with both
-your growling stomach and your shivering, which need you choose to meet using your scarce savings reveals
-your preference.
-Psychologists take one look at this simple formulation and shake their heads. Increasingly, even some
-mainstream economists have to admit that homo economic us doesn't always behave like the textbook
-maximizer; irrational behavior can't simply be waved away as extra-economic expressions of passions over
-interests, and thus the domain of other disciplines... .This is one place where the humanist can help the
-economist. If narrative economics is going to help us understand how rivals duke it out, who wins and who
-loses, we are going to need much more than lessons from epidemiological studies of viruses or intracranial
-
-A. had begun to borrow concepts from other disciplines but were averse to the latter applying economic
-principles.
-
-B. benefitted from the application of their principles and concepts to non-economic phenomena.
-
-C. used economics to analyse non-market behaviour, without incorporating perspectives from other areas of
-inquiry.
-
-D. tended to guard their discipline from poaching by academics from other subject areas.
-
-decisions.
-
-C. judgemental about the ability of economic tools to accurately manage crises leading to the downfall of this
-lofty science.
-
-D. disparaging of economists' inability to precisely predict market behaviour, and are now borrowing from
-other disciplines to remedy this.
-
-
-
-18.
-The author critiques Schiller's approach to behavioural economics for
-
-A. denigrating the role of institutions while creating a link between behavioural economics and perceptions.
-
-B. linking emotions and rational behaviour without considering the mediation of social institutions.
-
-C. ignoring the marginal role that media and politics play in influencing people's behaviour.
-
-D. relying excessively on storytelling as the main influence on the formation of perceptions.
-
-19.
-We can infer from the passage that the term "homo economic us" refers to someone
-
-A. maximises their opportunities based on nonmarket choices.
-
-B. makes rational decisions based on their own preferences.
-
-C. believes in borrowing and collaborating with other disciplines in their work.
-
-D. is not influenced by the preferences and choices of others.
-DIRECTIONS for the question: Five jumbled up sentences (labelled 1, 2, 3, 4 and 5), related to a topic, are
-given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence and key
-in the number of that sentence as your answer.
-
-Singer viewed himself as a utilitarian, and presents a direct moral theory concerning animal rights, in contrast
-to indirect positions, such as welfarist views.
-
-3.
-He argued for extending moral consideration to animals because, similar to humans, animals have certain
-significant interests.
-DIRECTIONS for the question: The passage given below is followed by four alternate summaries. Choose the
-option that best captures the essence of the passage.
-
-21.
-Certain codes may, of course, be so widely distributed in a specific language community or culture,
-and be learned at so early an age, that they appear not to be constructed -- the effect of an articulation between
-sign and referent -- but to be 'naturally' given. Simple visual signs appear to have achieved a 'near-universality'
-in this sense: though evidence remains that even apparently 'natural' visual codes are culture specific.
-However, this does not mean that no codes have intervened; rather, that the codes have been profoundly
-naturalized. The operation of naturalized codes reveals not the transparency and 'naturalness' of language but
-the depth, the habituation and the near-universality of the codes in use.
-They produce apparently 'natural' recognitions. This has the (ideological) effect of concealing the practices of
-coding which are present.
-
-A. All codes, linguistic and visual, have a natural origin but some are so widespread that they become
-universal. This is what hides the mechanism of coding behind signs.
-
-B. Learning linguistic and visual signs at an early age makes all such codes appear natural. This naturalization
-of codes is the effect of ideology.
-
-
-
-C. Not all codes are natural but certain codes are naturalized and made to appear universal. Ideology aims to
-hide the mechanism of coding behind signs.
-
-D. Language and visual signs are codes. However, some of the codes are so widespread that they not only
-seem naturally given but also hide the mechanism of coding behind the signs.
-DIRECTIONS for the question: Five jumbled up sentences (labelled 1, 2, 3, 4 and 5), related to a topic, are
-given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence and key
-in the number of that sentence as your answer.
-
-When more people use buses or trains the service usually improves because public-transport agencies run
-more buses and trains.
-
-3.
-Worsening services on public transport, terrorist attacks in some urban metros and a rise in fares have been
-blamed for this trend.
-
-
-
-4.
-It seems more likely that public transport is being squeezed structurally as people's need to travel is
-diminishing as a result of smartphones, video-conferencing, online shopping and so on.
-
-survival benefit. There is no overarching, grand planner engineering the systems so that they work
-harmoniously together. __(3)__. The brain is more like a big, old house with piecemeal renovations done on
-every floor, and less like new construction ___4__.
-
-A. Option 3
-
-B. Option 1
-
-C. Option 2
-
-D. Option 4
-
-24.
-Sentence: Understanding central Asia's role helps developments make more sense not only across
-Asia but in Europe, the Americas and Africa.
-Paragraph: The nations of the Silk Roads are sometimes called 'developing countries', but they are actually
-some of the world's most highly developed countries, the very crossroads of civilization, in advanced states of
-disrepair.__(1)__. These countries lie at the centre of global affairs: they have since the beginning of history.
-Running across the spine of Asia, they form a web of connections fanning out in every direction, routes along
-which pilgrims and warriors, nomads and merchants have travelled, goods and produce have been bought and
-sold, and ideas exchanged, adapted and refined.__(2)__-- . They have carried not only prosperity, but also
-death and violence, disease and disaster.___(3)__. The Silk Roads are the world's central nervous system,
-connecting otherwise far-
-flung peoples and places....___(4)__. It allows us to see patterns and links, causes and effects that remain
-invisible if one looks only at Europe, or North America.
-
-A. Option 1
-
-B. Option 4
-
-C. Option 2
-
-D. Option 3
-The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a QUIET
-tournament. These teams are divided equally into two groups. In the tournament, each team plays every other
-team in the same group only once, and each team in the other group exactly twice. The tournament has several
-rounds, each of which consists of a few games. Every team plays exactly one game in each round. The
-following additional facts are known about the schedule of games in the tournament.
-
-1.
-Each team played against a team from the other group in Round 8.
-
-
-
-4.
-Team 1 played Team 5 ONLY once and that was in Round 2.
-
-5.
-Team 3 played Team 4 in Round
-
-3.
-Team 1 played Team 6 in Round 6.
-
-What is the number of the team that played Team 1 in Round 5?
-
-27.
-Which team among the teams numbered 2, 3, 4, and 5 was not part of the same group?
-
-A. 4
-
-B. 5
-
-C. 3
-
-D. 2
-
-28.
-What is the number of the team that played Team 1 in Round 7?
-
-
-
-2.
-USA (in ROW) is the only country that was visited by all three of them.
-
-3.
-China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.
-
-4.
-France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and Samantha, but not
-by Nitesh.
-
-How many countries in Europe were visited only by Nitesh?
-
-32.
-How many countries in the ROW were visited by both Nitesh and Samantha?
-
-33.
-How many countries in Europe were visited by exactly one of Dheeraj, Samantha and Nitesh?
-
-A. 5
-
-B. 10
-
-C. 12
-
-D. 14 [IMAGE: image_1.png]
-particular day. The vertical axis shows the price of the share in rupees. A share whose closing price (price at
-the end of the day) is more than its opening price (price at the start of the day) is called a bullish share;
-otherwise, it is called a bearish share. All bullish and bearish shares are shown in green and red colour
-respectively.
-
-C. F
-
-D. D
-
-
-
-35.
-Daily Share Price Variability (SPV) is defined as (Day's high price - Day's low price) / (Average of the
-opening and closing prices during the day). How many shares had an SPV greater than 0.5 on that day?
-
-36.
-Daily loss for a share is defined as (Opening price -- Closing price) / (Opening price). Which among the shares
-A, B, F and G had the highest daily loss on that day?
-
-A. G
-
-B. F
-
-C. A
-
-D. B
-
-37.
-What would have been the percentage wealth gain for a trader, who bought equal numbers of all bullish shares
-at opening price and sold them at their day's high?
-
-A. 50%
-
-B. 100%
-
-C. 72%
-
-D. 80%
-[IMAGE: image_2.png]
-and
-
-D. The number of stars received by A and B from the six web surfers is shown in the figure below.
-The following additional facts are known regarding the number of stars received by the bloggers from the
-surfers.
-
-Each blogger received a different number of stars from M.
-
-4.
-Two surfers gave all their stars to a single blogger.
-
-
-
-5.
-D received more stars than C from Y.
-
-B. 0
-
-C. 5
-
-D. cannot be determined
-
-40.
-How many surfers distributed their stars among exactly 2 bloggers?
-
-41.
-Which of the following can be determined with certainty?
-I. The number of stars received by C from M
-II. The number of stars received by D from O
-
-A. Neither I nor II
-
-B. Both I and II
-
-C. Only I
-
-D. Only II
-[IMAGE: image_3.png]
-Students will vote based on the intensity level of Amiya's and Ramya's campaigns and the type of campaigns
-they run. Each campaign is said to have a level of 1 if it is a staid campaign and a level of 2 if it is a vigorous
-campaign. Campaigns can be of two types, they can either focus on issues, or on attacking the other candidate.
-If Amiya and Ramya both run campaigns focusing on issues, then The percentage of students voting in the
-election will be 20 times the sum of the levels of campaigning of the two students. For example, if Amiya and
-Ramya both run vigorous campaigns,
-then 20 x (2+2)%, that is, 80% of the students will vote in the election.
-Among voting students, the percentage of votes for each candidate will be proportional to the levels of their
-campaigns. For example, if Amiya runs a staid (i.e., level 1) campaign while Ramya runs a vigorous (i.e., level
-
-2)
-campaign, then Amiya will receive 1/3 of the votes cast, and Ramya will receive the other 2/
-
-have otherwise voted for Ramya, will not vote at all.
-If both run campaigns attacking each other, then 10% of the students who would have otherwise voted for
-them had they run campaigns focusing on issues, will not vote at all.
-
-
-
-42.
-If both of them run staid campaigns attacking the other, then what percentage of students will vote in the
-election?
-
-A. 60%
-
-B. 64%
-
-C. 40%
-
-D. 36%
-
-43.
-What is the minimum percentage of students who will vote in the election?
-
-A. 32%
-
-B. 40%
-
-C. 36%
-
-D. 38%
-
-44.
-If Amiya runs a campaign focusing on issues, then what is the maximum percentage of votes that she can get?
-
-A. 40%
-
-B. 36%
-
-C. 48%
-
-D. 44%
-
-C. 12%
-
-D. 18%
-
-
-
-46.
-What is the maximum possible voting margin with which one of the candidates can win?
-
-A. 20%
-
-B. 29%
-
-C. 26%
-
-D. 28%
-
-A. 6
-
-B. 1
-
-C. 4
-
-D. 3
-
-48.
-Two places A and B are 45 kms apart and connected by a straight road. Anil goes from A to B while
-Sunil goes from B to
-
-A. Starting at the same time, they cross each other in exactly 1 hour 30 minutes.
-If Anil reaches B exactly 1 hour 15 minutes after Sunil reaches A, the speed of Anil, in km per hour,
-is
-
-A. 14
-
-B. 12
-
-C. 16
-
-D. 18
-
-with each digit appearing exactly once in every number, is 153310 + n, where n is a single digit natural
-number. Then, the value of (a + b + c + d + n) is
-
-51.
-In September, the incomes of Kamal, Amal and Vimal are in the ratio 8 : 6 :
-
-
-
-5.
-They rent a house together, and Kamal pays 15%, Amal pays 12% and Vimal pays 18% of their respective
-incomes to cover the total house rent in that month. In October, the house rent remains unchanged while their
-incomes increase by 10%, 12% and 15%, respectively. In October, the percentage of their total income that
-will be paid as house rent, is nearest to
-
-A. 13.26
-
-B. 14.84
-
-C. 12.75
-
-D. 15.18
-
-52.
-An amount of Rs 10000 is deposited in bank A for a certain number of years at a simple interest of 5% per
-annum. On maturity, the total amount received is deposited in bank B for another 5 years at a simple interest
-of 6% per annum. If the interests received from bank A and bank B are in the ratio 10 :
-13, then the investment period, in years, in bank A is
-
-A. 4
-
-B. 6
-
-C. 3
-
-D. 5 x2 x2 x2
-
-1
-
-A. B. 3
-
-C. 1
-
-D. 4 1 3
-
-56.
-In the XY-plane, the area, in sq. units, of the region defined by the inequalities x2 y2 y x + 4 and - 4 + +_ 5 (x
-- y) 0 is
-
-A. 3
-
-B. 2
-
-C. D. 4
-
-
-
-57.
-A glass is filled with milk. Two-thirds of its content is poured out and replaced with water. If this process of
-pouring out two-thirds the content and replacing with water is repeated three more times,
-then the final ratio of milk to water in the glass, is
-
-A. 1 : 26
-
-B. 1 : 80
-
-C. 1 : 27
-
-D. 1 : 81
-
-C. 537
-
-D. 665
-
-59.
-The surface area of a closed rectangular box, which is inscribed in a sphere, is 846 sq cm, and the sum of the
-lengths of all its edges is 144 cm. The volume, in cubic cm, of the sphere is
-
-A. 1125
-
-B. 750
-
-C. 1125
-
-D. 750 2 2
-
-60.
-The selling price of a product is fixed to ensure 40% profit. If the product had cost 40% less and had been sold
-for 5 rupees less, then the resulting profit would have been 50%. The original selling price,
-in rupees, of the product is
-
-A. 10 B.15
-
-C. 20
-
-D. 14
-
-
-
-61.
-A shop wants to sell a certain quantity (in kg) of grains. It sells half the quantity and an additional 3 kg of
-these grains to the first customer. Then, it sells half of the remaining quantity and an additional 3 kg of these
-grains to the second customer. Finally, when the shop sells half of the remaining quantity and an additional 3
-kg of these grains to the third customer, there are no grains left. The initial quantity, in kg, of grains is
-
-A. 42
-
-B. 18
-
-C. 36
-
-D. 50
-
-D. 22
-
-63.
-ABCD is a rectangle with sides AB = 56 cm and BC = 45 cm, and E is the midpoint of side CD. Then,
-the length, in cm, of radius of in circle of ADE is 1 1 k 1 1 1 1 3 k
-
-65.
-The sum of all real values of k for which , is 8 32768 8 32768 4 2 4 2
-
-A. B.
-
-C. D.
-3 3 3 3
-
-66.
-Suppose x , x , x ,..... x are in arithmetic progression such that x = -4 and 2x , 2x = x + x .
-1 2 3 100 5 6 9 11 13
-Then, x equals.
-100
-
-A. 204
-
-B. -194
-
-C. 206
-
-D. -196
-
-Then the value of a + a + ....+a is 1 2 50