Set X consists of all two-digit primes and set Y consists of all positive odd multiples of 5 less than 100. If the two sets are combined into one, what will be the range of the new set?
  • a)
    84
  • b)
    89
  • c)
    90
  • d)
    92
  • e)
    95
Correct answer is option 'D'. Can you explain this answer?

Talent Skill Learning answered  •  yesterday
Set X = {11, 13, 17,............., 83, 89, 97}
Set Y = {5, 15, 25,..............., 75, 85, 95}
Combining two sets, say Set Z
Set Z = {5, 11, 13, 15, 17, 25,..................., 75, 83, 85, 89, 95, 97}
Range = Max Value - Min Value
Range (Z) = 97 - 5 = 92
Ayush Lalchandani asked   •  4 hours ago

Eating fish and other foods rich in omega-3 fatty acids could help people maintain healthy brains as they age as well as protect their hearts, new research suggests. Per this research, participants with low levels of omega-3 fatty acids in their blood had slightly smaller brains and scored lower on memory and cognitive tests than people with higher blood levels of omega-3s.
The researchers then looked at and ranked the level of omega-3 fatty acids in the participants' blood. People who scored in the bottom 25% in omega-3 fatty acid levels were compared with the rest of the study participants. Researchers found that those who had the lowest level of omega-3 fatty acid levels in their blood had lower brain gray matter volume compared with those with higher levels.
Gray matter volume is crucial to brain health. When it remains higher, brain health is being maintained. Decrease in gray matter volume indicates that brain cells are shrinking. The findings showed that consumption of baked or broiled fish on a weekly basis was positively associated with retention of gray matter volume in several areas of the brain. In fact the greater hippocampal, posterior cingulate, and orbital frontal cortex volumes obtained by optimal fish consumption led to reduced risk of contracting MCI or Alzheimer’s by almost five-fold.
The most recent U.S. dietary guidelines—released last year—recommend at least two servings of seafood a week. Some doctors and diet experts recommend that patients consume fish three times a week or take fish-oil supplements so they get enough omega-3 fatty acids to obtain health benefits.
The passage suggests the following about diet and gray matter volume
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Navya Johny asked   •  13 hours ago

Eating fish and other foods rich in omega-3 fatty acids could help people maintain healthy brains as they age as well as protect their hearts, new research suggests. Per this research, participants with low levels of omega-3 fatty acids in their blood had slightly smaller brains and scored lower on memory and cognitive tests than people with higher blood levels of omega-3s.
The researchers then looked at and ranked the level of omega-3 fatty acids in the participants' blood. People who scored in the bottom 25% in omega-3 fatty acid levels were compared with the rest of the study participants. Researchers found that those who had the lowest level of omega-3 fatty acid levels in their blood had lower brain gray matter volume compared with those with higher levels.
Gray matter volume is crucial to brain health. When it remains higher, brain health is being maintained. Decrease in gray matter volume indicates that brain cells are shrinking. The findings showed that consumption of baked or broiled fish on a weekly basis was positively associated with retention of gray matter volume in several areas of the brain. In fact the greater hippocampal, posterior cingulate, and orbital frontal cortex volumes obtained by optimal fish consumption led to reduced risk of contracting MCI or Alzheimer’s by almost five-fold.
The most recent U.S. dietary guidelines—released last year—recommend at least two servings of seafood a week. Some doctors and diet experts recommend that patients consume fish three times a week or take fish-oil supplements so they get enough omega-3 fatty acids to obtain health benefits.
According to the passage, people who eat foods rich in Omega 3 acids experience which of the following benefits
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Anuja Jain asked   •  22 hours ago

While there is no guarantee that increased investment in achieving energy independence will solve all of America’s unemployment problems, the results so far have demonstrated that it will definitely help the cause.   Under President Obama's watch, such increased investment has so far created 1.5 million jobs and has demonstrated the potential to create many more.
After a four-decade decline in oil production, the U.S. is now producing enough oil to serve more than half of our oil needs. This has the potential to free us from our addiction to foreign-sourced barrels, particularly if we utilize our dramatically larger and cheaper reserves of natural gas, which now costs the equivalent of less than $15 per barrel, versus the $100-plus per barrel of oil we import from the Middle East. The money saved by increased use of natural gas has helped in greater investments and has created more than 75,000 jobs domestically.
 
Moreover, the president’s policies have motivated companies to invest more in clean energy to the extent that American companies make over 75% of all venture investments in clean technologies. Overall, because of U.S. public and private investments in clean energy—including renewables, efficiency, transportation, and infrastructure—the clean economy grew by 8.3% from 2008 to 2009, even during the depths of the recession. Even though several technologies, such as solar power, are still not as cost-competitive as imported oil, expanding these clean-energy investments is good economics as they will help preserve and expand America's middle class, because energy investments are a particularly effective method of "insourcing" manufacturing jobs, which in turn spur jobs in invention, installation, and maintenance.
From the passage which of the following can be inferred about imported oil?
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Oscar Mishra asked   •  yesterday

Although the journal Social Text was never at the forefront of publishing articles on feminism and never debated whether capitalism was the source of women’s oppression in 1970s or whether male supremacy was itself a systematic form of domination, it is not clear whether social feminist’s classification of the journal as the one run by “boy’s club” could have been completely justified till recently. There could have been many reasons that the journal’s mission statement as set out in its first prospectus in 1979 did not take notice of the burning issues feminists were then discussing. May be triumvirate of founding editors were too focused on Marxist high theory to consider gender alongside economic class as an important mode of social organization and oppression, or on the other hand they may have simply chosen on purpose to not include feminism specifically in its charter.
The recent paper by Rosa Luxemburg suggests that the first prospectus contained the seeds of its own feminist undoing. The founders demarcated fields of focus for the journal that could hardly be explored without attention to gender, sexuality, and the historical experiences of women. They were rather interested in “everyday life,” “mass culture,” and “consumer society”. Hence, the little feminist work that appears in Social Text is in the realm of cultural analysis not revolutionary praxis and is often buried in the back of the journal in “Unequal Developments,” the section that offers reviews and experimental writing.
 
For example, in the second edition of the journal in the section Unequal Developments, Christine Holmland performs a thorough feminist dissection of the then-current Disney film ‘The North Avenue Irregulars’, showing how this comedy about a group of church ladies who take on the local mafia superficially celebrates, but finally deflates the idea of women’s activism, and along the way reinforces gendered roles at every level of social life.
Why does the author cite Christine Holmland’s example to?
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Pradyumna Mudholkar asked   •  2 days ago

Information is the essence of universe and means distinction between things. It is the very basic principle of physics that distinctions never disappear even though they might get scrambled or mixed away even after a seemingly irreversible change – say a magazine gets dissolved into pulp at a recycling plan, the information on the pages of the magazines will be re-organized and not eliminated and in theory the decay can be reversed; the pulp reconstructed into words and photographs. The only exception to this principle in physics is if the magazine were thrown into a black hole, a singular object in this regard, since nothing can emerge out of it after all. Even after Stephen Hawking showed in 1975 that black holes can radiate away matter and energy, the radiation seemed devoid of any structure, indicating that all information is lost in a black hole – a conclusion that has been hotly contested by physicists all over the world who argue that the entire structure of theoretical physics will disintegrate once you accept the notion that information can be lost, even if in a black hole.
Even though Hawking was not easily convinced, the physicists adopted a new theory called the holograph principle that states that when an object falls inside a black hole the stuff inside it may be lost but the objects information may be imprinted on the surface of black hole and with the right tools you may reconstruct the magazine from the black hole just as you would have reconstructed it from the pulp. This principle which may sound like an accounting trick has some serious implications if true. It implies that all information about 3 dimensional objects is stored in 2 dimensions and that there is a limit to how much information can be stored on a given surface area.  While this theory plugs a key gap in Hawkins assertion its corollaries spring some interesting implications that may have a tough time standing up to the scrutiny.
According to the passage, prior to 1975 it was believed that black holes were unique because:
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Tejas Patni asked   •  3 days ago

Fast food chains constantly face the problem of low employee retention, to counter which the companies offer high salaries. The companies have come up with the solution of hiring retired people who have a very low attrition rate. However, their time taken to service an order is more and they require going through long training programs at regular intervals. Thus, for most fast food chains the gain in employee retention does not compensate for the increase in time taken to serve each customer. Nevertheless, since the customers continue to be more appreciative when served by retired people, their employment is likely to become an industry-wide feature.
In the argument above, the two portions in boldface play which of the following roles?
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Sheetal Dhawan asked   •  3 days ago

Researchers bet their bottom dollar on a combination of polar ice cores, tree-rings, geochemistry, and a medieval chronicle little-known in the West to solve one of vulcanology’s most enduring mysteries: which peak blew its top in the mid-13th century, causing a catastrophic eruption that ranks as one of the biggest in the recorded history? As with any investigation, the team had to rule out other suspects as it followed a trail of clues - and even read palms, or at least palm leaves, ultimately finding the culprit of the massive 1257 AD eruption, which the researchers say is Samalas volcano on Lombok Island in Indonesia.
For decades, scientists have been searching for the volcano responsible for the largest spike in sulfate deposits in the last 7,000 years, which were revealed in the ice cores from Greenland and Antarctica. The spike indicated a massive eruption around 1257 that may have sent up to eight times more sulfate into the stratosphere than the 1883 eruption of Karaktau, often held up as an archetype of volcanoes behaving badly. Researchers say the 1257 mystery spew is comparable in scope to a second-century AD eruption in the Taupo Volcanic Zone of New Zealand, known as the most intense historic volcanic event. Multitude of futile attempts for a few decades compelled the researchers to write the project off as “unsolved”. Some thirty years later, one of the researchers’ tips came from Babad Lombok, a 13th century historical record in Old Javanese, written on palm leaves, the chronicle referencing a massive eruption of Samalas that created an enormous caldera.The current research zeroed in on Samalas, part of the Mount Rinjani volcanic complex.
The team was able to accumulate a sizable amount of incriminating evidence, including pyroclastic deposits from the eruption more than 100 feet thick found more than 15 miles from the ruins of the volcano. The range of deposits and the volume suggest that the Samalas eruption exceeded that of the Tambora event in 1815. The team sampled carbonized tree trunks and branches in the Samalas deposit zone and used radiocarbon dating to confirm a mid 13th-century eruption. Reviewing wind patterns, researchers were even able to narrow the timeframe for the eruption. The distribution, to the west, of volcanic ash and other ejecta from Samalas suggest that the dry season’s easterly trade winds were prevalent, putting the eruption window between May and October of 1257.
The author of the passage alludes to the discovery made in Greenland and Antarctica in order to
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