What is the remainder when 4386 is divided by 5?
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    6
Correct answer is option 'C'. Can you explain this answer?

Divya Narang answered  •  2 days ago
Write it as (40+3)^86

all the terms except 3^86 will have 40 as a multiplier and hence would be divisible by 5

3^1÷5 remainder 3
3^2÷5 remainder 4
3^3÷5 remainder 2
3^4÷5 remainder 1
3^5÷5 remainder 3
and then 4, 2 and 1 will follow repetitively

repeat happens after every 4

86÷4 remainder 2

so 3^2 case would be applic
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Pradyumna Mudholkar asked   •  8 hours 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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Ayush Lalchandani asked   •  yesterday

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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Aditya Joshi asked   •  yesterday

Disruptive innovators can hurt successful and immensely profitable incumbents that tend to ignore the markets most susceptible to disruptive innovations.   Disruptive innovators offer technologically straightforward solutions consisting of off-the-shelf components put together in a product architecture that is often simpler, initially lower performing, and cheaper than established approaches. Considering disruptive technologies unprofitable, the executives at incumbents often ignored them at their own and companies’ peril.   In 1981, the old 8 inch drives used in mini computers were "vastly superior" and much more profitable to the new 5.25 inch drives used in desktop computers.  However, 8 inch drives were not affordable for the new desktop machines.  Slowly, the makers of 5.25 inch drives improved the performance of the drives and moved the 8 inch drive companies that did not invest in the 5.25 inch technology out of the market as the latter could not compete on price.  Similarly, digital cameras, when introduced in 1997 performed extremely poorly as compared to traditional film cameras.   Consequently, many traditional film companies such as Kodak ignored this market only to be bankrupted by the rise of digital cameras a decade later.
Leaders and strategists should be cautious while rejecting a technology that does not seem to be as high performing and hence not as profitable as their dominant technologies.  A technology that initially provides low performance can drastically improve over time and often exceed the performance of the dominant technology at a much lower price-point, a scenario that could potentially bankrupt the incumbents who ignored the technology at their peril. 
Which of the following exemplifies a technological disruption as described in the passage through the 8 inch and 5.25 inch disc drive example?
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Aaditya Sharma asked   •  2 days ago

The role of nurturing in determining one’s behavioral traits has been hotly contested. Historically, geneticists believed that behavioral traits are inherited. After all, many properties of the brain are genetically organized and don't depend on information coming in from the senses. Since active genes are essentially inherited, most traditional geneticists believe that nurturing environment plays little role in shaping one’s behavioral traits.
However, a new line of research indicated that methyl groups can activate dormant genes, bringing about a slew of changes much later in a person’s life. The methyl group works like a placeholder in a cookbook, attaching to the DNA within each cell to select only those recipes - er, genes - necessary for that particular cell’s proteins, telling the DNA what kind of cells to form.  The first such observation was in which methyl groups activated by causes ranging from exposure to certain chemicals to changes in diet set off a cascade of cellular changes resulting in cancer. Because methyl groups are attached to the genes, residing beside but separate from the double-helix DNA code, their study is dubbed epigenetics - “epi” referring to Greek for outer or above. 
Behavioral geneticists, encouraged by this discovery proved that traumatic experiences such as child neglect, drug abuse, or other severe stresses also set off epigenetic changes to the DNA inside the neurons of a person’s brain, permanently altering behavior.  Similarly, through multivariate analysis, they proved that identical twins, in scenarios where one twin has gone through a life altering event, can have vastly different reaction to a stressful situation.
The primary purpose of the passage is to
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Adewusi Oluwatunmise Olu asked   •  2 days 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 author’s main purpose in writing the passage is
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