Skip to main content

GRE 1-Mark has twice as many oranges as George....

By spartan
Mark has twice as many oranges as George. Tony has 10 less than twice the sum of George and Mark’s oranges. If Tony were to give 15 oranges to George and 5 oranges to Mark, George and Mark would each have half the number of oranges Tony had originally. How many oranges did George have originally?

  1. 10
  2. 15
  3. 20
  4. 25
  5. 50

Use PITA here. If you start with choice (C), George has 20 oranges, which means Mark has 40 and Tony has 110. If we add 15 to George, he’d have 35, and Mark would get 5, so he’d have 45. These values aren’t equal—in fact, the difference between them is too large, so that’s a clue that we should try using smaller numbers. If you try choice (B), Mark now has 30, Tony has 80, and after Tony gives 15 to George and 5 to Mark, George has 30 and Mark has 35. The difference is smaller, so we know we are going in the right direction. The answer must be choice (A). If you try choice (A), George has 10, Mark has 20, and Tony has 50 to start. After the exchange, George and Mark both have 25, which is half of 50.
Labels:

Comments

Post a Comment

Popular posts from this blog

Where can I apply for a PhD without the IELTS or TOEFL?

By spartan
 There are some universities and programs that do not require IELTS or TOEFL for international students applying for a PhD program. However, it is important to check with the specific university or program as their requirements may vary. Some universities may accept alternative English language proficiency tests such as PTE, CPE, or CAE. Additionally, some universities may waive the requirement for students who have completed a degree from an English-speaking institution or have significant work experience in an English-speaking environment. Here is a list of some universities and programs that may not require IELTS or TOEFL for international students applying for a PhD program: University of Cambridge University of Oxford Imperial College London ETH Zurich Technical University of Munich University of Copenhagen University of Helsinki National University of Singapore Australian National University University of Melbourne Please note that this list is not exhaustive, and the require...
Post a Comment
Read more

GRE 37-Verbal Question 8-15

By Unknown
Comparative historian Marc Ferro claims that the largest discrepancy in knowledge between what academic historians and what the aver- age citizen knows about history is found in the United States. How has this situation come about? Certainly the problem does not lie with the secondary literature. Whereas in the past. American historians were handicapped by sec- ondary literature that was clearly biased towards a European viewpoint, since the civil rights movement of the 1950s and 60s. the secondary literature in American history has become far more comprehensive. And it cannot be simply a matter of space constraints; the average high school history textbook is well over a thousand pages in length. One theory holds that American history text- books are simply the socializing instruments of a controlling elite. The stratification of American society is preserved. according to this theory. by the creation of what Marx termed “false consciousness." The theory ho...
Post a Comment
Read more

In spite of its many advantages, the Internet has ...

By spartan
In spite of its many advantages, the Internet has been criticized for facilitating the spread of __________ and __________ information. A. reliable, accurate  B. unreliable, inaccurate  C. credible, authentic  D. dubious, fake  E. verifiable, trustworthy -------------------------------------------- The correct answer is B. unreliable, inaccurate
Post a Comment
Read more