The integers 34041 and 32506 when divided by a three-digit integer n leave the same remainder. What is n?
  • a)
    289
  • b)
    367
  • c)
    453
  • d)
    307
Correct answer is option 'D'. Can you explain this answer?

Imk Pathshala answered  •  8 hours ago
The difference of the numbers = 34041 – 32506 = 1535
The number that divides both these numbers must be a factor of 1535.
307 is the only 3 digit integer that divides 1535.

In a four-digit number, the sum of the first 2 digits is equal to that of the last 2 digits. The sum of the first and last digits is equal to the third digit. Finally, the sum of the second and fourth digits is twice the sum of the other 2 digits. What is the third digit of the number?
  • a)
    5
  • b)
    8
  • c)
    1
  • d)
    4
Correct answer is option 'A'. Can you explain this answer?

Imk Pathshala answered  •  8 hours ago
Let the 4 digit no. be xyzw.
According to given conditions we have x + y = z + w, x + w = z, y + w = 2x + 2z.
With help of these equations, we deduce that y = 2w, z = 5x.
Now the minimum value x can take is 1 so z = 5 and the no. is 1854, which satisfies all the conditions. Hence option A.

How many factors of 25 * 36 * 52 are perfect squares?
  • a)
    18
  • b)
    24
  • c)
    36
  • d)
    8
Correct answer is option 'B'. Can you explain this answer?

Imk Pathshala answered  •  8 hours ago
Any factor of this number should be of the form 2a × 3b × 5c
For the factor to be a perfect square a, b, c has to be even.
⇒ a can take values 0, 2, 4 
⇒ b can take values 0, 2, 4, 6
⇒ c can take values 0, 2
So, total number of perfect squares = 3 × 4 × 2 = 24
Asha Rohiya asked   •  3 hours ago

Instructions
Comprehension:
War, natural disasters and climate change are destroying some of the world's most precious cultural sites. Google is trying to help preserve these archaeological wonders by allowing users access to 3D images of these treasures through its site. But the project is raising questions about Google's motivations and about who should own the digital copyrights.
Some critics call it a form of "digital colonialism." When it comes to archaeological treasures, the losses have been mounting. ISIS blew up parts of the ancient city of Palmyra in Syria and an earthquake hit Bagan, an ancient city in Myanmar, damaging dozens of temples, in 2016. In the past, all archaeologists and historians had for restoration and research were photos, drawings, remnants and intuition. But that's changing. Before the earthquake at Bagan, many of the temples on the site were scanned. . . . [These] scans . . . are on Google's Arts & Culture site. The digital renditions allow viewers to virtually wander the halls of the temple, look up-close at paintings and turn the building over, to look up at its chambers. . . . [Google Arts & Culture] works with museums and other nonprofits . . . to put high-quality images online. The images of the temples in Bagan are part of a collaboration with CyArk, a nonprofit that creates the 3D scanning of historic sites. . . . Google . . . says [it] doesn't make money off this website, but it fits in with Google's mission to make the world's information available and useful.
Critics say the collaboration could be an attempt by a large corporation to wrap itself in the sheen of culture. Ethan Watrall, an archaeologist, professor at Michigan State University and a member of the Society for American Archaeology, says he's not comfortable with the arrangement between CyArk and Google. . . . Watrall says this project is just a way for Google to promote Google. "They want to make this material accessible so people will browse it and be filled with wonder by it," he says. "But at its core, it's all about advertisements and driving traffic." Watrall says these images belong on the site of a museum or educational institution, where there is serious scholarship and a very different mission. . . . [There's] another issue for some archaeologists and art historians.
CyArk owns the copyrights of the scans — not the countries where these sites are located. That means the countries need CyArk's permission to use these images for commercial purposes.
Erin Thompson, a professor of art crime at John Jay College of Criminal Justice in New York City, says it's the latest example of a Western nation appropriating a foreign culture, a centuries-long battle. . . . CyArk says it copyrights the scans so no one can use them in an inappropriate way. The company says it works closely with authorities during the process, even training local people to help. But critics like Thompson are not persuaded. . . . She would prefer the scans to be owned by the countries and people where these sites are located.
Q. Of the following arguments, which one is LEAST likely to be used by the companies that digitally scan cultural sites?
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Krishna Devi asked   •  7 hours ago

Instructions
Comprehension:
For two years, I tracked down dozens of . . . Chinese in Upper Egypt [who were] selling lingerie. In a deeply conservative region, where Egyptian families rarely allow women to work or own businesses, the Chinese flourished because of their status as outsiders. They didn’t gossip, and they kept their opinions to themselves. In a New Yorker article entitled “Learning to Speak Lingerie,” I described the Chinese use of Arabic as another non-threatening characteristic. I wrote, “Unlike Mandarin, Arabic is inflected for gender, and Chinese dealers, who learn the language strictly by ear, often pick up speech patterns from female customers. I’ve come to think of it as the lingerie dialect, and there’s something disarming about these Chinese men speaking in the feminine voice.” . . .
When I wrote about the Chinese in the New Yorker, most readers seemed to appreciate the unusual perspective. But as I often find with topics that involve the Middle East, some people had trouble getting past the black-and-white quality of a byline. “This piece is so orientalist I don’t know what to do,” Aisha Gani, a reporter who worked at The Guardian, tweeted. Another colleague at the British paper, Iman Amrani, agreed: “I wouldn’t have minded an article on the subject written by an Egyptian woman—probably would have had better insight.” . . .
As an MOL (man of language), I also take issue with this kind of essentialism. Empathy and understanding are not inherited traits, and they are not strictly tied to gender and race. An individual who wrestles with a difficult language can learn to be more sympathetic to outsiders and open to different experiences of the world. This learning process— the embarrassments, the frustrations, the gradual sense of understanding and connection—is invariably transformative.
In Upper Egypt, the Chinese experience of struggling to learn Arabic and local culture had made them much more thoughtful. In the same way, I was interested in their lives not because of some kind of voyeurism, but because I had also experienced Egypt and Arabic as an outsider. And both the Chinese and the Egyptians welcomed me because I spoke their languages. My identity as a white male was far less important than my ability to communicate.
And that easily lobbed word—“Orientalist”—hardly captures the complexity of our interactions. What exactly is the dynamic when a man from Missouri observes a Zhejiang native selling lingerie to an Upper Egyptian woman? . . . If all of us now stand beside the same river, speaking in ways we all understand, who’s looking east and who’s looking west?
Which way is Oriental?
For all of our current interest in identity politics, there’s no corresponding sense of identity linguistics. You are what you speak—the words that run throughout your mind are at least as fundamental to your selfhood as is your ethnicity or your gender. And sometimes it’s healthy to consider human characteristics that are not inborn, rigid, and outwardly defined. After all, you can always learn another language and change who you are.
Q. A French ethnographer decides to study the culture of a Nigerian tribe. Which of the following is most likely to be the view of the author of the passage?
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Maria Roshan M asked   •  18 hours ago

The communities of ants are sometimes very large ,numbering even up to 500, individuals and it is a lesson to us that no one has ever yet seen quarrel between any two ants belonging to the same community .On the other hand ,it must be admitted that they are in hostility not only with most other insects ,including ants of different species ,but even with those of the same species if belongs to different communities .I have over and over again introduced ants from one of my nests into another nest of the same species ; and they were in variable attacked , seized by a leg or an antenna and dragged out .It is evident therefore ,that the ants of each community all recognize one another ,which is very remarkable .But more than this ,I several times divided a nest into two halves and found that even after separation of a year and nine months they recognize one another and were perfectly friendly ,while they at once attacked ants from a different nest ,although of the same species. 

It has been suggested that the ant of each nest have some sign or password by which they recognize one another .To test this I made some of them insensible, first I tried chloroform; but this was fatal to them and I do not consider the test satisfactory .I decided therefore to intoxicate them. This was less easy then I had expected .None of my ants would voluntarily degrade themselves by getting drunk .However ,I got over the difficulty by putting them into whisky for a few moments .I took fifty specimens –25 percent from one nest and 25 percent from another made them dead drunk ,marked each with a spot of paint ,and put them on a table close to where other ants from one of the nests were feeding .The table was surrounded as usual with a most of water to prevent them from straying .The ants ,which were feeding soon noticed those ,which I had made drunk .They seemed quite astonished to find their comrades in such a disgraceful condition ,and as much at loss to know what to do with their drunkards as we were .After a while ,however ,they carried them all away the strangers they took to the edge of the moat and dropped into the water ,while they bore their friends home in the nest where by degrees they slept off the effects of the spirits .Thus it is evident that they know their friends even when incapable of giving any sign or password.
Q. The author's anecdotes of the inebriated ants would support all the following inductions except the statement that
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Tamanna Jain asked   •  21 hours ago

Directions: These questions are based on the following information
IT School of Management is a management institute involved in teaching,training and research. Currently it has 37 faculty members. They are involved in three jobs: teaching, training and research. Each faculty member working with IT School of Management has to be involved in at least one of the three jobs mentioned above:
  • A maximum number of faculty members are involved in training. Among them, a number of faculty members are having additional involvement in the research.
  • The number of faculty members in research alone is double the number of faculty members involved in all the three jobs.
  • 17 faculty members are involved in teaching. The number of faculty members involved in teaching alone is less than the number of faculty members involved in research alone.
  • The faculty members involved in the teaching are also involved in at least one more job.
(2011)
Q. After sometime,the faculty members who were involved in all the three tasks were asked to withdraw from one task. As a result, one of the faculty members each opted out of teaching and research, while remaining ones involved in all the three tasks opted out of training. Which one of the following statements, then necessarily follows:
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